4 + (-3393)/(-36) + -1. Find g, given that r*g**3 + 30*g**2 - 67*g**2 + 43*g**2 = 0.
-2/31, 0
Suppose 0 = 101*a - 102*a + 1. Suppose 15 = 5*o - t, -5*o + a = t - 4. Factor -16*d - 10*d**o + 15*d**4 + 20*d**3 - 7*d + 3*d - 5.
5*(d - 1)*(d + 1)**2*(3*d + 1)
Let l(b) be the second derivative of -b**4/42 - 163*b**3/21 + 120*b**2 + 8506*b. Suppose l(p) = 0. Calculate p.
-168, 5
Let n(h) = 13*h**2 - 36*h - 199. Let c(q) = 35*q**2 - 108*q - 584. Let v(j) = -3*c(j) + 8*n(j). Factor v(l).
-(l - 40)*(l + 4)
Find f, given that -153*f**2 - 152*f**2 - 1872*f + 438048 + 517*f**2 - 210*f**2 = 0.
468
Let k(j) be the second derivative of j**6/150 + 3*j**5/10 + 7*j**4/15 - j**3 - 29*j**2/10 + 115*j. Factor k(y).
(y - 1)*(y + 1)**2*(y + 29)/5
Let x(f) be the third derivative of f**7/945 - 5*f**6/18 + 304*f**5/15 + 2888*f**4/27 + 629*f**2 + 2*f. Factor x(j).
2*j*(j - 76)**2*(j + 2)/9
Let b(j) = 2*j - 30. Let q be b(16). Suppose -59 = -q*m - 7*y + 4*y, -2*m - 4*y = -64. Find p such that -5*p**2 - 10*p + 4*p**2 - p**2 - 10*p + m = 0.
-11, 1
Let d(f) be the first derivative of -1/50*f**5 + 2*f - 195 + 19/10*f**3 - 59/20*f**2 - 17/40*f**4. Factor d(q).
-(q - 1)**3*(q + 20)/10
Suppose 4*r + 82 = 11*p, -16*r = -3*p - 18*r - 24. Factor -1/4*k**p - 1/4*k**3 + 1/4 + 1/4*k.
-(k - 1)*(k + 1)**2/4
Suppose 0 = 1668*l - 1675*l. Let v(s) be the first derivative of 0*s - 1/9*s**6 - 14 + l*s**2 - 2/9*s**3 + 1/6*s**4 + 2/15*s**5. Solve v(m) = 0 for m.
-1, 0, 1
Let w = 62914 + -62911. Factor -y**w + 8/5 - 18/5*y**2 - 12/5*y.
-(y + 2)**2*(5*y - 2)/5
Let y(f) = 11*f**4 - 92*f**3 - 362*f**2 - 364*f - 2. Let l(i) = -17*i**4 + 91*i**3 + 361*i**2 + 366*i + 3. Let g(z) = -4*l(z) - 6*y(z). Factor g(q).
2*q*(q + 2)**2*(q + 90)
Let l(x) = 15*x**3 - 6*x**2 + 9*x - 2. Let j be l(1). Suppose 2*r**2 - 9*r + 70*r + j - 154 + 75*r = 0. What is r?
-69, 1
Suppose 375 - 20 = 156*r + 43. Let x(k) be the second derivative of 0 + 3/10*k**5 + 0*k**r - 7*k - k**3 - 1/6*k**4 + 1/15*k**6. Solve x(q) = 0.
-3, -1, 0, 1
Let t(i) be the second derivative of 39*i + 0*i**3 + 0*i**4 + 1/45*i**5 - 4*i**2 + 0. Let v(g) be the first derivative of t(g). Find u such that v(u) = 0.
0
Let i(u) = 2*u**2 + 30*u - 33. Let m be i(-16). Let q be (3/m + -2)*(-12)/10. Factor 2*y**4 + 75*y + q*y**4 + 13*y + 50*y**3 + 27 - 11 + 108*y**2.
2*(y + 2)**3*(4*y + 1)
Let k(n) = 147*n + 2793. Let j be k(-19). Let v(s) be the first derivative of -1/12*s**4 + j*s**2 - 8/9*s**3 - 5 + 0*s. Find u such that v(u) = 0.
-8, 0
Let i be 1*(-15 + (-17 - -42)) - 8. Factor -14/9*r + 2/9*r**i - 4.
2*(r - 9)*(r + 2)/9
Let v be (2 + -6)*3/(-6). Suppose 4*i = 3*g - 53, i = 5*g - 3*g - 32. Factor g*f - 27*f + 3*f**2 - 36*f - 192 - 6*f**v.
-3*(f + 8)**2
Let c(y) = y**2 + 15*y + 38. Let r be (2 + 0)/((-6)/36). Let j be c(r). Factor -2 + 3 - 2*o**j + 4*o + 3*o**2 - 2*o.
(o + 1)**2
Let s = 255 - 114. Find g such that -105*g + 61 - g**2 - 190 - s - g**2 - 3*g**2 = 0.
-18, -3
Let g be ((-2)/(-3))/((-8)/(-18)). Let t(s) = s**3 + 60*s**2 - 5645*s + 1778. Let v be t(-111). Factor 1/2*d**4 - g*d**v + d**3 - 2 - 4*d.
(d - 2)*(d + 1)**2*(d + 2)/2
Let d(f) = -3*f**2 - f + 1. Let w(u) = 5*u**2 + 2*u - 1. Let a(o) = -3*d(o) - 2*w(o). Let q(g) = 6*g**2 + 49*g - 434. Let c(l) = 21*a(l) + 3*q(l). Factor c(j).
-3*(j - 21)**2
Suppose -2*h + s + 7 = 0, h - 310 + 311 = -4*s. Let n(u) be the second derivative of -7*u + 4/3*u**h + 0 + 1/6*u**4 + 0*u**2. Factor n(v).
2*v*(v + 4)
Let k(w) = -12*w + 5. Let r be k(-4). Let n = -49 + r. Solve 5*y + 0*y**2 + 6 - 5*y**2 + n = 0.
-1, 2
Suppose 36 - 20 = 4*w. Find z, given that 4 + 2314*z**2 - 36*z + 132*z**w - 1069*z**2 - 36*z**5 - 184*z**3 - 1125*z**2 = 0.
1/3, 1
Suppose 5*f = 2*t + 15, 5*f - 31 = -4*t + 14. Solve -10*k + 89 + 3*k**2 - f*k - 107 = 0.
-1, 6
Let a be (80/(-48))/(1/(-3)). Suppose 5*z - 43 = -2*c, a*z - 25 = -4*c + 46. Suppose -45*t + 41 + c*t**2 - 3*t**3 - 14 + 7*t**2 = 0. Calculate t.
1, 3
Let s(p) be the second derivative of -p**5/40 - p**4/2 + 13*p**3/12 + 13*p - 30. What is q in s(q) = 0?
-13, 0, 1
Let z(x) = x**3 - x**2 - x - 3. Let g(c) = 8*c**3 - 228*c**2 - 704*c - 484. Let v(m) = -g(m) + 4*z(m). Suppose v(k) = 0. Calculate k.
-2, -1, 59
Let i(u) = -3*u**2 + 43*u + 16. Let b(m) = 2*m**2 - 29*m - 10. Let d = 62 - 67. Let r(q) = d*i(q) - 8*b(q). Determine w so that r(w) = 0.
0, 17
Let z(o) be the second derivative of -o**5/60 + 2*o**4 - 137*o**3/18 - 35*o**2 + 9*o + 40. Factor z(p).
-(p - 70)*(p - 3)*(p + 1)/3
Let v(j) be the first derivative of -2*j**3/27 - 7*j**2/3 - 76*j/9 - 8368. Factor v(n).
-2*(n + 2)*(n + 19)/9
Let o = 44/1823 - -8387535/3646. Let j = o - 2293. Factor 0 + 0*q + 3/2*q**5 + j*q**4 + 6*q**2 + 12*q**3.
3*q**2*(q + 1)*(q + 2)**2/2
Suppose -8*c - 197*c + 5*c + 1200 = 0. Let l = 13/3 + -17/6. Factor -c*t + 0 - l*t**2.
-3*t*(t + 4)/2
Let y = -1949/12 - -651/4. Let p = -36/5 - -148/15. Determine z so that 16/3*z**2 + p*z + y = 0.
-1/4
Let w(q) = 18*q**2 + 26*q - 249. Let b(l) = -75*l**2 - 105*l + 999. Let g(d) = -5*b(d) - 21*w(d). Suppose g(u) = 0. Calculate u.
-13, 6
Let p(d) be the first derivative of d**5/35 - 47*d**4/28 + 219*d**3/7 - 351*d**2/2 + 378*d - 1680. Factor p(t).
(t - 21)**2*(t - 3)*(t - 2)/7
Let l(u) be the second derivative of 0*u**3 + 0*u**2 + 33*u - 1/30*u**5 + 0 - 1/18*u**4. Let l(i) = 0. Calculate i.
-1, 0
Let t(y) be the first derivative of y**2/2 - 3*y + 5. Let m be t(5). Factor x - x - m*x**3 - 4*x**2 + 6*x**3 - x**4.
-x**2*(x - 2)**2
Let z(w) = -120*w**3 - 705*w**2 + 3485*w + 9220. Let g(a) = -11*a**3 - 64*a**2 + 317*a + 838. Let s(f) = -65*g(f) + 6*z(f). Factor s(h).
-5*(h - 5)*(h + 2)*(h + 17)
Factor 509 + 2268 + 104*b**3 - 1104*b - 89 + 120*b**2 - 53*b**3 - 54*b**3.
-3*(b - 28)*(b - 8)*(b - 4)
Let h(j) = -5*j - 7. Suppose -3*c = -7 + 13. Let u be h(c). Factor 0*m**4 + 6*m - 150*m**2 + u*m**4 + 147*m**2 + 3*m**5 - 9*m**3.
3*m*(m - 1)**2*(m + 1)*(m + 2)
Factor -2/7*v**2 - 55112/7 - 664/7*v.
-2*(v + 166)**2/7
Factor -1/6*i**4 - 8000 + 7600/3*i - 260*i**2 + 11*i**3.
-(i - 20)**3*(i - 6)/6
Let w(s) be the first derivative of -14 - 1/30*s**5 - 1/12*s**4 + 2/3*s**3 + 0*s + 9*s**2. Let l(n) be the second derivative of w(n). Factor l(r).
-2*(r - 1)*(r + 2)
Let f(z) be the first derivative of z**4/10 + 56*z**3/15 + 77*z**2/5 + 20*z + 253. Factor f(j).
2*(j + 1)*(j + 2)*(j + 25)/5
Let u(r) be the third derivative of r**6/300 + 6*r**5/25 + 41*r**4/20 - 32*r**3/3 - 11011*r**2. What is f in u(f) = 0?
-32, -5, 1
Let j be (-77 - -57)/(180/(-27)). Factor 25/2*c**j - 8*c + 32 - 55/2*c**2.
(c + 1)*(5*c - 8)**2/2
Suppose 222 - 1812 = -z. Let l = 11202/7 - z. Factor -l*f**2 - 66/7*f**3 - 3/7*f**5 - 27/7*f + 0 - 24/7*f**4.
-3*f*(f + 1)**2*(f + 3)**2/7
Factor 216/7 + 195/7*d**3 + 564/7*d - 726/7*d**2.
3*(d - 2)**2*(65*d + 18)/7
Let 44*j**3 + 20/3 - 122/3*j - 10/3*j**2 = 0. Calculate j.
-1, 1/6, 10/11
Let o(m) = -768*m + 21504. Let t be o(28). Factor 1/8*h**3 - 11/8*h + 5/4*h**2 + t.
h*(h - 1)*(h + 11)/8
Factor 13/7*d + d**2 - 1/7*d**3 + 6/7 - 1/7*d**4.
-(d - 3)*(d + 1)**2*(d + 2)/7
Let d(v) be the third derivative of 0*v + 0 + 1/30*v**6 + 23/6*v**4 + 111*v**2 - 24*v**3 + 4/5*v**5. Factor d(g).
4*(g - 1)*(g + 4)*(g + 9)
Let u(h) = -h**3. Let s(d) = 2*d**3 + 6*d**2 - 9*d + 4. Let l(w) = -w**2 - w + 1. Let y(o) = -6*l(o) + 2*s(o). Let n(t) = 12*u(t) + y(t). Factor n(p).
-2*(p - 1)**2*(4*p - 1)
Let x = -240 + 243. Suppose x*h + 9*h**2 - h**3 + 9*h**2 - 10*h**2 - 8 - 2*h = 0. What is h?
-1, 1, 8
Let x(j) be the third derivative of -j**5/12 + 85*j**4/8 + 550*j**3/3 + 5214*j**2. Factor x(n).
-5*(n - 55)*(n + 4)
Let p = -36/695 - -35/139. Let y(u) be the second derivative of 0 + 3/14*u**7 + 0*u**4 + 15*u + 0*u**3 + 0*u**2 - p*u**6 + 0*u**5. Solve y(h) = 0.
0, 2/3
Suppose 50*n + 409 = 3*g, 364*n + 37 = -g + 359*n. Let -3/8*f**4 + 9/8*f**g - 3/4*f + 3/8*f**2 + 0 - 3/8*f**5 = 0. What is f?
-2, -1, 0, 1
Let g be 1 - -2 - (-152)/(-51). Let k(t) be the third derivative of 2*t**2 - 1/102*t**4 + g*t**3 + 0 + 1/510*t**5 + 0*t. Let k(u) = 0. What is u?
1
Let c(l) be the first derivative of -4*l**5/35 - 43*l**4/14 + 44*l**3/21 + 1041. Suppose c(q) = 0. Calculate q.
-22, 0, 1/2
Let q be 6/162 - (72864/(-4860))/11. Let o = 8834/5 + -1760. Solve -q*w**5 + 16/5*w**2 + 26/5*w**4 - 2/5 + 1/5*w - o*w**3 = 0.
-2/7, 1
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