2/2 - 2*m + 14. Let q(x) be the first derivative of j(x). Factor q(w).
4*(w - 3)*(w + 4)
Let f = 196043 + -196041. Solve 0*n + 0*n**f + 0 + 3/2*n**5 - 3*n**4 + 3/2*n**3 = 0.
0, 1
Let y(o) be the first derivative of o**5/20 + o**4/4 - 3*o**3/2 + o**2 + 25*o + 4. Let v(h) be the second derivative of y(h). Determine b so that v(b) = 0.
-3, 1
Let t(b) be the first derivative of b**4/38 + 78*b**3/19 + 1680*b**2/19 + 12928*b/19 + 4327. Factor t(x).
2*(x + 8)**2*(x + 101)/19
Let v be (-12)/78 + (-4530)/(-24375). Let t = v + 1738/375. Suppose -58*b - 92/3*b**3 + 596/9*b**2 - 2/9*b**5 + t*b**4 + 18 = 0. Calculate b.
1, 9
Let c(u) = 89*u**3 - 267*u**2 + 647*u + 77. Let r(p) = -209*p**3 + 534*p**2 - 1295*p - 155. Let s(v) = 5*c(v) + 2*r(v). Suppose s(l) = 0. What is l?
-1/9, 5
Let k(u) be the third derivative of u**9/22680 - u**7/2100 + u**6/1350 + 89*u**3/6 - 23*u**2. Let c(i) be the first derivative of k(i). Factor c(l).
2*l**2*(l - 1)**2*(l + 2)/15
Let k = 116 + -114. Determine l so that 54 + 111*l + 111*l + 84*l - 48*l**k - 261*l + 9*l**3 = 0.
-2/3, 3
Let z(a) be the second derivative of -3*a**6/10 + 129*a**5/10 - 109*a**4/4 - 347*a**3 - 324*a**2 + 4*a + 185. Determine w so that z(w) = 0.
-2, -1/3, 4, 27
Let m(z) be the second derivative of -6*z**2 - 29/45*z**5 - 158/135*z**6 - 11/63*z**7 + 58/9*z**4 + 108*z + 0 - 5/3*z**3. Suppose m(x) = 0. Calculate x.
-3, -1/3, 6/11, 1
Let -125/2*o**2 + 3/4*o**3 + 0 - 1/4*o**5 + 21*o**4 - 42*o = 0. What is o?
-1, 0, 2, 84
Let p(d) = 2664*d**3 - 724*d**2 + 64*d - 6. Let h(v) = 5329*v**3 - 1447*v**2 + 127*v - 14. Let n(x) = 2*h(x) - 5*p(x). Factor n(s).
-2*(11*s - 1)**3
Suppose -3*z = 2*p - 5*z - 14, 3*p - 30 = 6*z. Let k(g) be the second derivative of 0 + 1/70*g**5 - 4/21*g**3 + 0*g**2 + 0*g**p - 26*g. What is x in k(x) = 0?
-2, 0, 2
Let n(i) be the second derivative of -i**8/6720 - i**7/945 - i**6/540 + 2*i**4/3 + i - 29. Let d(j) be the third derivative of n(j). Factor d(w).
-w*(w + 2)*(3*w + 2)/3
Let -14/3*o**3 - 358/3*o**2 - 200/3*o + 0 = 0. Calculate o.
-25, -4/7, 0
Let z be (901992/(-351))/98 - (-28 - 0). Suppose 0 + 4*q**3 - 6*q + 0*q**2 - z*q**4 + 2/9*q**5 = 0. Calculate q.
-1, 0, 3
Let y = -222370 - -222372. Determine d so that -120 - 2946/5*d**y + 636*d - 3387/5*d**3 - 27/5*d**5 - 576/5*d**4 = 0.
-10, -2, 1/3
Let a = -366353 - -366678. Suppose 380*s**2 + 0 - 1970/3*s**3 - 125/3*s**5 + a*s**4 - 200/3*s = 0. What is s?
0, 2/5, 2, 5
Let a(w) = w**5 - 11*w**4 - 60*w**3 - 48*w**2 - 24*w + 4. Let f(v) = v**4 + v**3 + 6*v - 1. Let u(r) = -a(r) - 4*f(r). Factor u(s).
-s**2*(s - 12)*(s + 1)*(s + 4)
Let b(u) be the first derivative of 4*u**5/5 + 6*u**4 - 100*u**3/3 + 36*u**2 + 2. Factor b(r).
4*r*(r - 2)*(r - 1)*(r + 9)
Let a(o) be the second derivative of o**7/70 + 2*o**6/25 - 3*o**5/50 - 3*o**4/5 + 9*o**3/10 - 2*o + 548. Factor a(x).
3*x*(x - 1)**2*(x + 3)**2/5
Suppose -60 + 932*k**3 - 1720*k - 12035*k**2 + 387*k**3 + 2886*k**3 = 0. Calculate k.
-2/29, 3
Let p(h) be the second derivative of -17/180*h**5 - 5/18*h**4 - 2/9*h**3 + 0 - 1/90*h**6 - 11/2*h**2 - h. Let v(y) be the first derivative of p(y). Factor v(b).
-(b + 2)**2*(4*b + 1)/3
Factor -4218538 - 2*b**3 + 122*b + 40*b + 4218700 - 2*b**2.
-2*(b - 9)*(b + 1)*(b + 9)
Factor 6/11*x**2 + 6/11*x - 72.
6*(x - 11)*(x + 12)/11
Let m(l) be the second derivative of -l**7/147 - 11*l**6/21 - 63*l**5/5 - 1739*l**4/21 - 4525*l**3/21 - 1875*l**2/7 + 2621*l. Suppose m(n) = 0. What is n?
-25, -3, -1
Let h = -305 + 320. Let -12*l**2 - 6*l - 37*l**5 - 84*l**3 - 100*l**4 + l**5 - l + h*l = 0. Calculate l.
-1, 0, 2/9
Let b(t) be the third derivative of -t**5/140 - 9*t**4/28 - 16*t**3/7 + 1713*t**2 - 2. Factor b(g).
-3*(g + 2)*(g + 16)/7
Let l(t) = 201*t**2 + 1155*t + 471. Let f(o) = -40*o**2 - 231*o - 94. Let y(p) = 21*f(p) + 4*l(p). Factor y(g).
-3*(g + 6)*(12*g + 5)
Let h = -14668/3 - -4892. Suppose 2*s + 4*n - 20 = 0, s = 4*n - 2*n - 6. Find v such that h + 0*v - 2/3*v**s = 0.
-2, 2
Let s(n) be the third derivative of -17*n**4/6 + 35*n**3 + 789*n**2. Let k be s(3). Factor -8 - 4*g**3 + 8/3*g + k*g**2 + 2/3*g**4.
2*(g - 3)*(g - 2)**2*(g + 1)/3
Suppose 2*g + 43 = 133. Factor -17*l - 17*l**2 + g*l + 16*l**2.
-l*(l - 28)
Let m be 125*((-14)/(-28))/(10/(-8)). Let y = m + 53. Factor -6*j**y - 3*j**4 + 1313*j - 1313*j - 3*j**2.
-3*j**2*(j + 1)**2
Let x(n) be the second derivative of n**6/120 - n**5/8 - 7*n**4/4 + 20*n**3/3 - 168*n. Let j(f) be the second derivative of x(f). Solve j(g) = 0 for g.
-2, 7
Let h(w) be the second derivative of w**7/420 - 7*w**6/180 + 7*w**5/30 - 2*w**4/3 - 7*w**3 + 23*w - 1. Let v(u) be the second derivative of h(u). Factor v(k).
2*(k - 4)*(k - 2)*(k - 1)
Let i(c) be the first derivative of 92*c**6/51 - 6778*c**5/85 + 32563*c**4/34 - 48668*c**3/51 - 5580*c**2/17 + 1296*c/17 - 8597. Solve i(k) = 0 for k.
-1/4, 2/23, 1, 18
Let u be (-1 + -1 + 0)/((-82)/(-41)). Let n be 3*(-3)/(-99)*21 + u. Find g such that -6/11 - n*g + 2/11*g**3 - 2/11*g**2 = 0.
-1, 3
Suppose 0 = o + 2, -4*o - 21 = 3*w - 19. Solve 14*b**3 - 18*b**3 + 54*b**4 - 53*b**4 + 4*b + w*b**2 - 3 = 0.
-1, 1, 3
Let f = -1318 - -1339. Let w be ((32/(-6))/(-4))/(70/f). Suppose 12/5 - w*t**2 - 2/5*t = 0. What is t?
-3, 2
Let g be 2392/(-2760) + 14/8 + (-9)/12. Let y(c) be the second derivative of -28*c - g*c**3 + 1/50*c**5 + 1/30*c**4 + 0 + 0*c**2. Factor y(v).
2*v*(v - 1)*(v + 2)/5
Let u be (-18)/8*(-11*(-9)/(-108) - 2/(-8)). Factor u*a**3 - 39/2 - 3/2*a + 39/2*a**2.
3*(a - 1)*(a + 1)*(a + 13)/2
Find k, given that -11 + 1/9*k**2 - 10/3*k = 0.
-3, 33
Suppose -4*q = 2*p + 68, 2733*q - 19 = 2734*q. Find n such that n - 4/3*n**2 + 2/3*n**p + 2/3 - n**3 = 0.
-1, -1/2, 1, 2
Let q(w) = 9*w**3 - 2. Let o(i) = -17*i**3 - 98*i**2 - i + 102. Let m(b) = -3*o(b) - 6*q(b). What is u in m(u) = 0?
-1, 1, 98
Factor -408/7 - 2/7*i**3 + 814/7*i - 404/7*i**2.
-2*(i - 1)**2*(i + 204)/7
Let w = 1412507/40 + -282495/8. Solve -1/5*l**3 + 2/5*l**2 + w*l - 8/5 = 0.
-2, 2
Let y(k) be the first derivative of 833*k**2 - 1316/3*k**3 + 1/3*k**6 - 21 + 95*k**4 - 46/5*k**5 - 686*k. Factor y(t).
2*(t - 7)**3*(t - 1)**2
Let z be 168/(-63)*6*(-30)/16. Factor a**3 + 952 - 922 + a - 2*a - z*a**2.
(a - 30)*(a - 1)*(a + 1)
Let i(u) be the first derivative of u**4/18 + 28*u**3/27 + 53*u**2/9 + 80*u/9 - 1586. Determine s, given that i(s) = 0.
-8, -5, -1
Suppose 0 = 68*o - 73*o + 150. Factor -19*l**2 - 11*l**2 + 1027*l + 5*l**3 - 972*l - o.
5*(l - 3)*(l - 2)*(l - 1)
Let v(h) be the first derivative of 58 + 9/16*h**2 + 0*h + 0*h**3 - 1/32*h**4. Suppose v(x) = 0. Calculate x.
-3, 0, 3
Let o be (88/54 - 2)/((-840)/(-45) + -20). Let z(k) be the first derivative of -1/3*k**2 + 0*k - 1/24*k**4 + o*k**3 - 2. Factor z(d).
-d*(d - 4)*(d - 1)/6
Let g be (-10 - 16590/(-1110)) + 4/74. Let -292/9*f**3 - 64/9*f**g + 0 + 56/3*f**2 + 224/9*f**4 - 4*f = 0. Calculate f.
0, 3/4, 1
Suppose -292*l - 8814 = -46190. Factor -16*h - 1/2*h**2 - l.
-(h + 16)**2/2
Let c(y) = -24*y**2 + 10*y - 2. Suppose q - 38 + 4 = 0. Let i(b) = -q*b**2 + 35*b**2 + 0*b + b. Let r(w) = -c(w) - 4*i(w). Factor r(z).
2*(2*z - 1)*(5*z - 1)
Solve 376/3*z**2 + 128 - 4/3*z**3 + 764/3*z = 0 for z.
-1, 96
Let s(n) = -2*n**2 - n. Let j(z) = 25 + 60*z**2 - 5*z**2 + 592*z - 537*z. Let x(d) = -j(d) - 25*s(d). Factor x(m).
-5*(m + 1)*(m + 5)
Let d(a) = -a**4 - a**3 - a**2 + 6. Let r(j) = j**5 - 14*j**4 + 3*j**3 - 5*j**2 + 30. Let v(s) = -5*d(s) + r(s). Factor v(k).
k**3*(k - 8)*(k - 1)
Let f(z) = 16*z**2 - 41*z + 7. Let r(b) = -11 + 9 - 3*b**2 + 10*b - b**2. Suppose 5*h - 3*h - 18 = 0. Let i(c) = h*r(c) + 2*f(c). Factor i(q).
-4*(q - 1)**2
Factor -40*h**2 - 2*h**3 + 144*h - 42 - 287*h + 82*h**2 + 145*h.
-2*(h - 21)*(h - 1)*(h + 1)
Let x be (-8 - 1) + 27 + 51 + -66. Factor 10/13*n**2 + 0 + 8/13*n + 2/13*n**x.
2*n*(n + 1)*(n + 4)/13
Let j(g) = 36*g**2 + 56*g + 20. Let m = -31 - -20. Let y(s) = -30*s - 12*s**2 - 17*s - 7 + 28*s. Let z(b) = m*y(b) - 4*j(b). What is a in z(a) = 0?
-1, -1/4
Let k = 4678 - 4678. Let p(f) be the first derivative of -1/15*f**6 + 0*f**2 - 3/10*f**4 + 34 + 0*f**3 + 8/25*f**5 + k*f. Determine x, given that p(x) = 0.
0, 1, 3
Let g = 349376 - 349371. Suppose -21/2*d**g + 0 - 195/2*d**2 + 27*d + 195/2*d**4 - 33/2*d**3 = 0. Calculate d.
-1, 0, 2/7, 1, 9
Let u(f) be the second de