 113/3*b**3 = 0.
-20, -1, -3/5
Let n(x) = x**3 - 366*x**2 + 7*x - 28. Let a(m) = -m**3 + 183*m**2 - 4*m + 16. Let o(k) = -7*a(k) - 4*n(k). Factor o(f).
3*f**2*(f + 61)
Let u = 521940 + -4175499/8. Factor -15/8*o**3 - 3/8 - u*o - 33/8*o**2.
-3*(o + 1)**2*(5*o + 1)/8
Let z = 1681/21 - 235/3. Suppose -10/7*x**5 - 2/7*x**3 + z*x - 34/7*x**2 + 0 + 34/7*x**4 = 0. Calculate x.
-1, 0, 2/5, 1, 3
Let v(g) be the first derivative of 0*g**3 + 0*g + 1/200*g**6 + 1/8*g**4 + 17 + 3/50*g**5 - 5/2*g**2. Let c(a) be the second derivative of v(a). Factor c(w).
3*w*(w + 1)*(w + 5)/5
Let s(i) be the third derivative of 69 + 1/5*i**4 - 2*i**2 + 0*i - 4/75*i**5 + 0*i**3 + 1/300*i**6. Find z, given that s(z) = 0.
0, 2, 6
Let s = -473 - -475. Solve -81 + 14*t**2 + 2*t**3 + 162 + t**s + 63*t - t**3 = 0.
-9, -3
Let i be ((-3)/10)/(1/245*-2). Let b = 743/20 - i. Factor 2/5 - 2/5*y**2 + b*y - 2/5*y**3.
-2*(y - 1)*(y + 1)**2/5
Let h(g) be the second derivative of -g**7/63 + 11*g**6/45 + g**5/2 - 31*g**4/18 - 58*g**3/9 - 8*g**2 - 1591*g. Determine s, given that h(s) = 0.
-1, 2, 12
Let h(i) be the third derivative of 5*i**8/336 - 3*i**7/14 + 13*i**6/12 - 2*i**5 + 879*i**2 + 1. Factor h(k).
5*k**2*(k - 4)*(k - 3)*(k - 2)
Let a(m) = 2*m**3 - 3*m**2 - m - 1. Let u(w) = -59*w**3 - 1074*w**2 - 5098*w + 2002. Let k(l) = -2*a(l) - u(l). What is g in k(g) = 0?
-10, 4/11
Factor -13 - 83*c + 154*c + 67 + 33 - 157*c - c**2.
-(c - 1)*(c + 87)
Let w = 1503925/11 - 136716. Find c such that w*c**2 + 336/11*c + 576/11 = 0.
-24/7
Factor 669*a - 82*a**3 - 93*a - a**3 + 4*a**2 + 79*a**3 - 576.
-4*(a - 12)*(a - 1)*(a + 12)
Let a = 360 + -354. Factor -31*q**3 - 5*q + 17*q**3 - 10*q**2 + 10 + a*q**3 + 13*q**3.
5*(q - 2)*(q - 1)*(q + 1)
Factor 23/3*c + 1/3*c**4 + 1/3*c**3 - 10/3 - 5*c**2.
(c - 2)*(c - 1)**2*(c + 5)/3
Let v(k) be the first derivative of -k**6/120 - k**5/40 + k**4/4 - 5*k**3 + k + 1. Let f(z) be the third derivative of v(z). Let f(u) = 0. What is u?
-2, 1
Suppose 88*l - 201*l = -96*l - 34. Solve 42/5*k - 9/5*k**5 - 24/5 + 27/5*k**l + 57/5*k**4 - 93/5*k**3 = 0.
-2/3, 1, 4
Let a(s) be the first derivative of 237 - 2*s**3 + 4*s**2 - 1/2*s**4 + 0*s. Let a(c) = 0. What is c?
-4, 0, 1
Let q = 1066846/889055 - -4/177811. What is m in -8/5*m + 4/15*m**2 - 2/15*m**4 + 8/15*m**3 - q = 0?
-1, 3
Factor 0 + 46/9*t - 1/9*t**2.
-t*(t - 46)/9
Let x(i) be the first derivative of i**5/25 + 3*i**4/20 - 3*i**3/5 - 27*i**2/10 - 465. Factor x(b).
b*(b - 3)*(b + 3)**2/5
Factor 186*a**2 + 0*a**4 + 171*a**2 + 3*a**4 + 72*a**3 + 122*a**2 - 47*a**2.
3*a**2*(a + 12)**2
Determine i, given that -249*i**4 - 107*i**4 - 245*i - 2*i**5 - 28*i**4 - 141*i + 384*i**2 + 295*i**3 + 93*i**3 = 0.
-193, -1, 0, 1
Let l(x) = 16*x**3 - 1391*x**2 - 2099*x - 780. Let s(r) = -11*r**3 + 696*r**2 + 1049*r + 390. Let y(v) = -6*l(v) - 11*s(v). Factor y(a).
5*(a + 1)*(a + 26)*(5*a + 3)
Factor 140*h**2 + 6*h**3 + 8353 - 2053 + 365*h + 95*h**2 + 1915*h - h**3.
5*(h + 6)**2*(h + 35)
Find l such that 0 + 0*l + 248/3*l**2 + 2/3*l**4 + 70/3*l**3 = 0.
-31, -4, 0
Let z(m) = -m + 14. Let o be z(5). Suppose o*t - 80 = -7*t. Determine j so that -16*j**4 - 95*j + 19*j**2 + 4*j**3 + 2 - t*j**2 + 84*j + 7*j**5 = 0.
-1, 2/7, 1
Let x = 6747 + -6747. Let g(a) be the second derivative of -1/24*a**4 - 1/80*a**5 + x*a**3 + 0*a**2 + 15*a + 0. Factor g(u).
-u**2*(u + 2)/4
Let n(k) be the first derivative of 3*k**4/4 + 2*k**3 - 429*k**2/2 - 2591. Find s such that n(s) = 0.
-13, 0, 11
Let t(b) be the first derivative of -1/2*b**3 - 99 + 0*b**2 + 9/16*b**4 + 0*b. Factor t(c).
3*c**2*(3*c - 2)/4
Let k be ((-190)/1330)/((-3)/(-2)*2/(-12)). Let l(x) be the first derivative of 18 - 1/14*x**4 - 5/7*x**2 + k*x + 8/21*x**3. Find i such that l(i) = 0.
1, 2
Let j(l) be the third derivative of -l**6/120 + 47*l**5/10 - 6627*l**4/8 - 1680*l**2. Factor j(c).
-c*(c - 141)**2
Let p(k) be the third derivative of -k**5/60 - 19*k**4/4 - 113*k**3/6 - 121*k**2 + 4*k + 4. What is i in p(i) = 0?
-113, -1
Factor -423*l**2 + 3/4*l**3 + 79524*l - 4983504.
3*(l - 188)**3/4
Let o(t) = 4*t - 15. Let m(u) = -5*u + 15. Let s(w) = 5*m(w) + 6*o(w). Let r be s(-16). Solve -3*k**3 + 2 + r + 4*k - 4*k**2 + k**2 - k = 0.
-1, 1
Let k(t) be the third derivative of -t**6/80 - 99*t**5/10 - 9801*t**4/4 + 58*t**2 - 22. Factor k(o).
-3*o*(o + 198)**2/2
Let v(g) be the second derivative of -g**5/10 - 7*g**4/3 - 32*g**3/3 + 128*g**2 - 3900*g. Find n such that v(n) = 0.
-8, 2
Let v(p) be the first derivative of -4*p**3/3 - 108*p**2 - 964*p + 35. Let q(x) = -x**2 - 72*x - 321. Let d(o) = -8*q(o) + 3*v(o). Factor d(w).
-4*(w + 9)**2
Let -536/7*t**4 - 19822/7*t - 384*t**3 + 19596/7*t**2 + 3468/7 - 18/7*t**5 = 0. What is t?
-17, 2/9, 1, 3
Let x(b) be the third derivative of b**8/6720 - b**7/630 + b**6/720 + b**5/20 - 11*b**4/3 + 71*b**2. Let p(l) be the second derivative of x(l). Factor p(a).
(a - 3)*(a - 2)*(a + 1)
Let x be (-21)/35*(-27)/(-189)*-77. Factor 3/5*w**4 + 6*w**3 + 0*w + 0 - x*w**2.
3*w**2*(w - 1)*(w + 11)/5
Let u(t) be the third derivative of 7*t**6/480 - 11*t**5/120 - 25*t**4/96 + t**3/6 + 551*t**2. Factor u(l).
(l - 4)*(l + 1)*(7*l - 1)/4
Let z(n) = -8*n**3 - 6*n**2 - 178*n + 10. Let t(g) = -6*g**3 - 8*g**2 - 176*g + 8. Let s(m) = 5*t(m) - 4*z(m). Factor s(p).
2*p*(p - 14)*(p + 6)
Let c(p) = 2*p**2 + 3*p + 13. Let x be c(7). Let -83*f**2 - 809*f**2 - x - 25*f**3 + 47*f**2 - 664*f = 0. What is f?
-33, -2/5
Let m = -51/1720 - -993/860. Factor -3/2*z + 1/2 + m*z**2.
(3*z - 2)**2/8
What is q in -156/5*q**2 + 0 - 4/5*q**4 - 112/5*q - 48/5*q**3 = 0?
-7, -4, -1, 0
Let a be 3220/392 + (-3 - (1 + 4)). Let v(d) be the first derivative of -31 - a*d**4 + 9/7*d**3 + 3/7*d**2 - 27/35*d**5 + 0*d. Solve v(y) = 0.
-1, -2/9, 0, 1
Let m(c) be the second derivative of 86*c + 0*c**2 + 1/15*c**4 + 0*c**3 + 1/50*c**5 + 0. Factor m(w).
2*w**2*(w + 2)/5
Let m be (-374)/187 + 8*1. Let u(i) be the third derivative of 0*i + 19*i**2 - 1/24*i**4 + 0 + 0*i**3 - 1/8*i**5 - 13/240*i**m. Factor u(y).
-y*(y + 1)*(13*y + 2)/2
Let x(w) be the first derivative of -w**5/240 + 3*w**4/32 - 7*w**3/12 - 107*w**2/2 - 134. Let b(u) be the second derivative of x(u). Factor b(d).
-(d - 7)*(d - 2)/4
Suppose 9*g = 20 - 2. Suppose 4*s = -3*r + 29, g*s - s - 2*r = -1. Factor -9*y + 0 + y**2 + 3 + s*y.
(y - 3)*(y - 1)
Let a(b) be the second derivative of -b**4/12 + 337*b**3/3 - 113569*b**2/2 + 5547*b. Factor a(m).
-(m - 337)**2
Let p = 2 + 6. Suppose 0*i - 5*k + 13 = -i, 5*k - 9 = 3*i. Factor 2*s - 2*s + p*s**i - 4*s**4 + 121*s**3 - 125*s**3.
-4*s**2*(s - 1)*(s + 2)
Suppose 4*z + 10 - 33 = -3*j, 2*z - 5*j = -21. Factor -1331*a**2 + 66*a - 33 + 1340*a**z + 30*a.
3*(a + 11)*(3*a - 1)
Suppose 13*s - 14*s = -63. Let y(v) = -2*v + 129. Let m be y(s). Factor -4/21*o**4 + 0 + 2/21*o**5 - 2/7*o**m + 8/21*o**2 + 8/21*o.
2*o*(o - 2)**2*(o + 1)**2/21
Let k(h) = 14*h + 544. Let j be k(-38). Let x be -2*152/(-48) + j. Factor -x*d - 605/6 - 5/6*d**2.
-5*(d + 11)**2/6
Factor -155*o - 459 - 10*o**2 + 21*o**2 - 43 - 8 - 6*o**2.
5*(o - 34)*(o + 3)
Factor 89*k + 270*k**2 + 29*k**3 - 137*k + 0*k - 24*k**3 - 227*k.
5*k*(k - 1)*(k + 55)
Let m(v) be the first derivative of 2*v**3/3 + 2890*v**2 + 4176050*v + 4100. Factor m(t).
2*(t + 1445)**2
Let m be (-8)/(-18) - (-52752)/33912. Solve -55/2*t - 65 + 5/2*t**m = 0 for t.
-2, 13
Let t(k) be the second derivative of k**7/231 - 14*k**6/165 - 133*k**5/55 - 568*k**4/33 - 1535*k**3/33 - 650*k**2/11 - 9*k - 38. Find y such that t(y) = 0.
-5, -1, 26
Let i be ((-5)/(-2))/(755/906). Find m such that -6/5*m**2 + 0 + 3/5*m**5 + 0*m**4 - 9/5*m**i + 0*m = 0.
-1, 0, 2
Let k(u) be the second derivative of 225*u**7/14 + 657*u**6/2 + 40617*u**5/20 + 34297*u**4/12 + 5372*u**3/3 + 578*u**2 - 3*u + 142. Factor k(c).
(3*c + 1)**3*(5*c + 34)**2
Suppose -12 = -m - 8. Let t = 43115/2 + -21556. Factor 0 + k + 1/2*k**2 + 1/2*k**5 - t*k**3 - 1/2*k**m.
k*(k - 2)*(k - 1)*(k + 1)**2/2
Let p(w) be the third derivative of 2*w**7/525 - 7*w**6/100 + 3*w**5/10 + 7*w**4/15 - 4008*w**2. Determine m so that p(m) = 0.
-1/2, 0, 4, 7
Factor 1/4*s**4 + 1047/4*s + 57/4*s**3 + 441/2 + 413/4*s**2.
(s + 2)*(s + 3)**2*(s + 49)/4
Let v be (-48)/(-15) + 1/(-5). Suppose 2*f - 1 = -3*r + 14, 3*f - 6 = r. Suppose -4 - 7*i**v + 3 + 6*i**r + i + i**2 = 0. Calculate i