c + 33. Let d(z) be the first derivative of y(z). Solve d(o) = 0 for o.
4/5, 1
Let k be (-37)/814 - (-1350)/660. Factor 0 - 63/4*a - 3/4*a**k.
-3*a*(a + 21)/4
Let h be 311/(-24) - (-2954)/211. Let p(c) be the third derivative of -1/24*c**6 + 0*c + 5/3*c**3 + 0 - 11*c**2 + 1/3*c**5 - h*c**4. Factor p(w).
-5*(w - 2)*(w - 1)**2
Let q(n) be the second derivative of 1/45*n**5 - 2/9*n**4 + 3*n + 0*n**3 + 0 - 19/2*n**2. Let g(d) be the first derivative of q(d). Solve g(v) = 0.
0, 4
Let g(x) be the first derivative of 7*x**5/25 + 47*x**4/15 + 56*x**3/15 - 24*x**2/5 + 8*x + 75. Let m(f) be the first derivative of g(f). Factor m(s).
4*(s + 1)*(s + 6)*(7*s - 2)/5
Suppose -6 = -17*x + 15*x. Suppose x*u - 32 = -5*u. Factor -28/3*o**3 + 8/3*o**2 + 20/3*o**u + 0*o + 0.
4*o**2*(o - 1)*(5*o - 2)/3
Let p be (18/14 - 0)*4/774*172. Let u = 1734/1519 - -2/1519. Factor p*v**2 + 2/7 + u*v.
2*(2*v + 1)**2/7
Let o(t) be the first derivative of t**7/560 - t**6/320 - t**5/80 - 6*t**2 + 68. Let f(i) be the second derivative of o(i). Factor f(n).
3*n**2*(n - 2)*(n + 1)/8
Let m(w) be the first derivative of 28*w**5/25 - 4*w**4/5 - 68*w**3/15 - 12*w**2/5 - 3295. Solve m(c) = 0 for c.
-1, -3/7, 0, 2
Suppose -145536/5*f - 4608/5 - 252/5*f**3 - 12104/5*f**2 = 0. What is f?
-24, -2/63
Let q(t) be the second derivative of 16*t**6/15 + 178*t**5/5 - 121*t**4 - 438*t**3 - 432*t**2 - 1868*t. Suppose q(p) = 0. Calculate p.
-24, -3/4, -1/2, 3
Let b(o) be the second derivative of 2500*o**7/21 - 560*o**6/3 - 2191*o**5/10 + 2791*o**4/6 - 103*o**3 + 9*o**2 + 38*o + 5. Determine l so that b(l) = 0.
-1, 3/50, 1
Suppose 175*b - 176*b - f = -15, 13*b = -f + 39. Find t, given that 1458/13 + 2/13*t**3 + 110/13*t**b + 1566/13*t = 0.
-27, -1
Let n(v) = v**3 + 2*v**2 + 5*v - 12. Let r be n(2). Suppose r*g - 613 = -571. Determine l, given that 1/9*l**4 + 0 + 0*l - 10/9*l**g + 25/9*l**2 = 0.
0, 5
Suppose 372*j + 192 = 378*j. Let i be 20*4/j*8/130. Factor 0 + i*d**2 + 0*d + 8/13*d**3.
2*d**2*(4*d + 1)/13
Let j(h) be the first derivative of -129/4*h**4 + 33/5*h**5 + 73*h**3 - 84*h**2 - 1/2*h**6 - 172 + 48*h. Suppose j(z) = 0. What is z?
1, 4
Let l(h) = -9*h**3 + 894*h**2 - 38692*h - 80996. Let s(a) = 10*a**3 - 895*a**2 + 38690*a + 80995. Let j(y) = -5*l(y) - 4*s(y). Let j(g) = 0. Calculate g.
-2, 90
Determine t so that -69312 - 69008*t - 1/3*t**3 + 911/3*t**2 = 0.
-1, 456
Let i(h) = h**3 - 11*h**2 - 3*h - 103. Let z be i(12). Suppose -z*d + 9*d = 20. Suppose 8/5*g**2 + 2/5*g**d - 8/5*g**3 - 2/5*g**4 + 0 + 0*g = 0. Calculate g.
-2, 0, 1, 2
Let y(j) be the third derivative of -j**6/360 - j**5/120 + j**4/2 + 40*j**3/3 - 4*j**2. Let t(p) be the first derivative of y(p). Suppose t(n) = 0. What is n?
-4, 3
Suppose 0 = -4*x + 4*t + 56, -5*t - 58 = 5*x - 18. What is n in -22/3*n**x + 0 - 128/9*n + 28/9*n**4 - 2/9*n**5 - 224/9*n**2 = 0?
-1, 0, 8
Determine x, given that 2326*x - 308*x**2 + 19*x**3 + 16*x**3 - 48*x**3 + 17*x**3 - 5776 + 3754*x = 0.
1, 38
Suppose -2*c = -l - 901, -3620 = l + 3*l - 4*c. Let o be (-2)/(12/l) + 7/14. Suppose -23*x**2 + o - 156 + 20*x + 7*x**2 = 0. Calculate x.
1/4, 1
Let p(l) be the second derivative of -3 - 91/20*l**5 - 4*l**4 - 8*l**2 + 49/30*l**6 + 38/3*l**3 - 29*l. Find u, given that p(u) = 0.
-1, 2/7, 4/7, 2
Find w such that 1164 + 9992*w**2 - 9993*w**2 + 607*w + 556*w = 0.
-1, 1164
Let j(z) be the third derivative of -1/2*z**4 + z**2 - 46*z + 0 + 0*z**3 - 7/60*z**6 + 1/168*z**8 - 1/105*z**7 + 13/30*z**5. Factor j(o).
2*o*(o - 2)*(o - 1)**2*(o + 3)
Let g be 128312/(-120) - 4/10*1. Let i = -1069 - g. Find w, given that -8/9*w + 0 + 16/9*w**4 + i*w**5 - 16/9*w**2 + 2/9*w**3 = 0.
-2, -1, -2/3, 0, 1
Let p(m) be the third derivative of -m**6/60 - 4*m**5/15 + 51*m**4/4 - 7421*m**2. Factor p(o).
-2*o*(o - 9)*(o + 17)
Let s(w) be the first derivative of -w**5 + 1795*w**4 - 2577620*w**3/3 - 4871. Factor s(o).
-5*o**2*(o - 718)**2
Let -40/7*n - 198/7 - 2/7*n**2 = 0. What is n?
-11, -9
Factor 11400*l**2 + l**3 - 346603485 + 2541483485 - 8664000*l - 6*l**3.
-5*(l - 760)**3
Factor 114284*u - 114207*u + 0*u**2 - u**2.
-u*(u - 77)
Let b = 6283 + -6283. Let z(t) be the second derivative of -7/54*t**4 + 11*t + 0 + b*t**2 - 1/27*t**3. Factor z(m).
-2*m*(7*m + 1)/9
Let r(h) be the first derivative of -26 + 50/3*h**3 - 10*h**2 - 15/4*h**4 - 46*h. Let x(z) be the first derivative of r(z). Determine p so that x(p) = 0.
2/9, 2
Let f(v) = -8*v**4 - 24*v**3 + 516*v**2 - 980*v + 783. Let w(d) = d**4 - 2*d**3 - 47*d**2 - 1. Let y(g) = f(g) + 3*w(g). What is r in y(r) = 0?
-13, 2, 3
Suppose -u - 476*b + 8 = -475*b, 32 = 8*u + 4*b. Determine h, given that 1/2*h**5 - 2*h**2 + h**3 + u + 2*h**4 - 3/2*h = 0.
-3, -1, 0, 1
What is j in -9140 + 18917*j**3 - 89*j**4 + 72767*j**3 + 96*j**4 - 48105*j**2 - 54860*j + 20176*j**3 + 238*j**4 = 0?
-457, -2/7, 1
Let a be (-3380)/(-180) - (-4)/18. Let -18*t**3 + 39*t**2 - t**4 + 12 - a*t**4 + 23*t**4 - 36*t = 0. What is t?
1, 2
Solve -51*a**3 + 2*a**4 + a**4 + 2370 - 129*a - 2328 + 135*a**2 = 0 for a.
1, 14
Let s(g) = -43*g**3 + 1634*g**2 - g + 40. Let v be s(38). Find j, given that -98/13*j + 46/13*j**v + 2/13*j**3 + 50/13 = 0.
-25, 1
Find j such that -136*j**3 + 16*j**3 + 145*j**4 + 87*j - 5*j**5 + 135*j**2 - 155*j**3 - 87*j = 0.
0, 1, 27
Factor 140*s - 559/4 - 1/4*s**2.
-(s - 559)*(s - 1)/4
Factor -1/10*f**2 + 44/5 - 21/5*f.
-(f - 2)*(f + 44)/10
Let n(w) = 24*w**3 - 132*w**2 - 267*w - 201. Let u(h) = h**3 - 2*h**2 + 8*h + 1. Let b(s) = n(s) - 9*u(s). Factor b(a).
3*(a - 10)*(a + 1)*(5*a + 7)
Let g be 4/(-10)*((-67)/2 + 1). Suppose 0 = g*d - 10*d + f, 4*d = -4*f. Factor 0*n - 8/7*n**2 - 2/7*n**3 + d.
-2*n**2*(n + 4)/7
Let o(x) be the third derivative of x**6/480 - 7*x**5/10 + 98*x**4 - 21952*x**3/3 - 579*x**2 - 1. Suppose o(c) = 0. Calculate c.
56
Suppose -17*b + 5/4*b**4 + 0 + 39/4*b**3 + 6*b**2 = 0. What is b?
-34/5, -2, 0, 1
Let o = -14 + 14. Let m = -58 - -61. Factor 2*d - d + m*d**2 + o*d - 2*d**2.
d*(d + 1)
Factor 2/3*l**2 + 89888/3 - 848/3*l.
2*(l - 212)**2/3
Suppose s = 4*k + 17 - 25, -4*s = 2*k - 4. Suppose 23*f + 2 = 24*f. Factor -f*j**4 + 11/3*j**3 - 4*j + 1/3*j**5 + 8/3 - 2/3*j**k.
(j - 2)**3*(j - 1)*(j + 1)/3
Let j(c) = -13*c**3 - 1356*c**2 - 1363*c - 10. Let t(i) = -17*i**3 - 1809*i**2 - 1818*i - 13. Let l(w) = -13*j(w) + 10*t(w). Factor l(v).
-v*(v + 1)*(v + 461)
Let y(o) be the second derivative of 3*o**5/100 - 39*o**4/20 + 15*o**3/2 + 4125*o**2/2 + 2192*o. Suppose y(g) = 0. Calculate g.
-11, 25
Let z(l) be the first derivative of 2*l**6/3 - 332*l**5/5 + 1680*l**4 + 2352*l**3 - 7461. What is k in z(k) = 0?
-1, 0, 42
Determine n, given that -1/9*n**2 - 12100/9 - 220/9*n = 0.
-110
Let j(b) be the first derivative of -2*b**7/945 - b**6/540 + b**5/270 + b**2 - 27*b - 136. Let n(v) be the second derivative of j(v). Factor n(u).
-2*u**2*(u + 1)*(2*u - 1)/9
Let g(u) = -u + 2. Let m(d) = 34 - 27 + 4*d + 35 - 4*d**2 - 17*d. Let b(s) = 5*g(s) - m(s). Factor b(p).
4*(p - 2)*(p + 4)
Let m = 1137 - 1129. Let r be (-1 + (-3)/(-9))/m*-6. Factor 0 + 3/2*w + r*w**2.
w*(w + 3)/2
Let z be (-98)/(-2107) + 10/(-215). Factor -6/5*d**2 - 1/10*d**4 + z + 4/5*d + 3/5*d**3.
-d*(d - 2)**3/10
Factor -606*n**2 + 2402 + 603*n**2 - 411 + 678*n + 769.
-3*(n - 230)*(n + 4)
Let x(g) be the third derivative of g**8/448 + g**7/40 - 9*g**6/160 - 7*g**5/80 + g**4/4 + 81*g**2 - 57. Find a such that x(a) = 0.
-8, -1, 0, 1
Let s(l) be the first derivative of -l**5/50 - l**4/15 - l**3/15 - 76*l - 9. Let h(y) be the first derivative of s(y). Let h(a) = 0. What is a?
-1, 0
Let x(h) be the second derivative of 5*h**4/72 - 19*h**3/12 + 35*h**2/6 + 157*h - 1. Find m, given that x(m) = 0.
7/5, 10
Let k be (45/30)/(1/(-321*2)). Let s = 966 + k. Solve -64/7 + 60/7*f**2 - 100/7*f**s + 96/7*f = 0 for f.
-1, 4/5
Let d be ((-7)/(-14)*-13 - -9)*12/10. Let h(p) be the first derivative of 23 + 5/4*p**4 + 10/3*p**d + 0*p + 5/2*p**2. Factor h(l).
5*l*(l + 1)**2
Let y = 31150 + -31146. Factor 68/3*i**2 + y*i**3 + 88/3*i + 32/3.
4*(i + 1)*(i + 4)*(3*i + 2)/3
Let p be (-416)/(-64) + 174/(-28). Find h such that p*h**3 + 32/7 - 2*h**2 + 16/7*h = 0.
-1, 4
Determine v so that 1346/3*v**2 + 0 - 2/3*v**4 - 1520/3*v + 176/3*v**3 = 0.
-8, 0, 1, 95
Let x(m) be the second derivative of -4/27*m**3 + m + 0*m**2 + 1 - 2/135