**5 - v*x**4 + 12 - 5*x**3 + 25/2*x**2 - 10*x. What is y in o(y) = 0?
-2, 1
Let g(x) be the third derivative of -x**7/42 + 25*x**6/24 - 137*x**5/12 - 1625*x**4/24 + 845*x**3 - 659*x**2 - 4*x. Solve g(r) = 0.
-3, 2, 13
Let q(g) = -g**3 - g**2 - g + 1. Suppose -58*f + 70 = -44*f. Let r(a) = 9*a**3 - 3*a**2 - 11*a + 27. Let v(x) = f*q(x) + r(x). Factor v(h).
4*(h - 2)**2*(h + 2)
Find g, given that 0 + 140/3*g**2 + 4/9*g**3 + 0*g = 0.
-105, 0
Find r such that -8094*r + 20218*r**2 + 20234*r**2 - 40455*r**2 = 0.
-2698, 0
Suppose 1671*l - 462*l - 1437 + 452 - 105*l**2 + 3*l**3 - 3578 = 0. Calculate l.
9, 13
Factor -12*a + 12*a**3 - 52*a**2 + 102*a**4 - 106*a**4 + 16*a**3 + 27 + 45.
-4*(a - 3)**2*(a - 2)*(a + 1)
Let q(m) be the first derivative of 85 - 3/10*m**5 - 3/2*m**3 - 3/4*m**2 + 0*m - 9/8*m**4. Find b, given that q(b) = 0.
-1, 0
Let v be -1 + 22 + (27 - (-920)/(-23)) - 5. Factor -81/2*l**2 + 81/2 - 3/4*l + 3/4*l**v.
3*(l - 54)*(l - 1)*(l + 1)/4
Let g be (-308)/132 + -3 + (1252/48 - 5). Let -33/2*t - 6*t**3 - 6 - 3/4*t**4 - g*t**2 = 0. What is t?
-4, -2, -1
Let y = 2820843/28 + -100728. Let j = -219/14 + y. Find g, given that 3/2*g**2 + 0 - 3/4*g**4 + 0*g + j*g**3 = 0.
-1, 0, 2
Let x = 635/3954 - -4/659. Let p(a) be the first derivative of -1/3*a + 17 + 1/5*a**5 - 2/9*a**3 - 1/18*a**6 + 1/2*a**2 - x*a**4. Let p(o) = 0. Calculate o.
-1, 1
Suppose 0 = 12*c - 8*c + 176. Let n be 0 + (-35)/(-20) - 11/c. Determine z so that 0*z + 18/19*z**4 - 4/19*z**n + 14/19*z**3 + 0 = 0.
-1, 0, 2/9
Let m be (35/10 - 4)*4. Let k be 46/10 + 4*(-3 - m). Factor 6/5*q + 0 + k*q**2.
3*q*(q + 2)/5
Let s(q) = -q**3 + 8*q + 2. Let k be s(5). Let t = k + 86. Factor 6*u**2 - 10*u**3 - 9*u**2 - t*u + 13*u**3 + 3.
3*(u - 1)**2*(u + 1)
Let u(k) be the third derivative of 9/20*k**5 - 1/120*k**6 - 3*k + 169/6*k**3 + 7*k**2 + 0 - 65/8*k**4. Factor u(q).
-(q - 13)**2*(q - 1)
Let x = -86 + 9. Let m = -74 - x. Factor -60*h + 5*h**5 - 5*h**m - 61*h**2 + 15*h**4 + 6*h**2 + 0*h**4 - 20.
5*(h - 2)*(h + 1)**3*(h + 2)
Determine h so that 4/3*h**4 - 444*h**2 + 1656*h + 70/3*h**3 - 720 = 0.
-30, 1/2, 6
Suppose 20/3*h**2 - 2/9*h**3 + 62/9*h + 0 = 0. Calculate h.
-1, 0, 31
Suppose -5*f = -2*a, -84*f + 91*f - 2*a = 8. Suppose 24*w**3 + 4/3*w**5 + 88/3*w**2 + 52/3*w + 28/3*w**f + 4 = 0. What is w?
-3, -1
Let n(a) be the third derivative of 0 - 1/40*a**5 + 0*a + 2*a**2 - 81*a**3 + 9/4*a**4. Let n(l) = 0. Calculate l.
18
Let q(s) be the second derivative of -29 + 2/15*s**3 - 4/5*s**2 - s + 1/15*s**4. Factor q(b).
4*(b - 1)*(b + 2)/5
Solve -88*x - 992/3 - 4/3*x**2 = 0 for x.
-62, -4
Factor -443 - 2*k**3 + 2*k**4 + 443 - 2*k**3 + 2*k**4 + 4*k - 4*k**2.
4*k*(k - 1)**2*(k + 1)
Let k(h) = -117*h**4 - 140*h**3 + 140*h**2 + 478*h - 41. Let r(l) = 17*l**4 + 20*l**3 - 20*l**2 - 68*l + 6. Let j(a) = 6*k(a) + 41*r(a). Factor j(f).
-5*f*(f - 2)*(f + 2)*(f + 4)
Suppose -227*q = -35*q - 384. Find t such that 49 + 3/2*t**3 + 119/2*t - 20*t**q = 0.
-2/3, 7
Let f = -938811 - -4694079/5. Factor -f - 3*m**3 - 69/5*m - 63/5*m**2 + 3/5*m**4.
3*(m - 8)*(m + 1)**3/5
Solve -55/4*v - 105/2 + 5/4*v**2 = 0 for v.
-3, 14
Let t be (112/(-24))/(1078/(-396)). Determine o, given that 8/7 + 18/7*o + t*o**2 + 2/7*o**3 = 0.
-4, -1
Let a(q) be the third derivative of -91*q**2 + 0 + 1/25*q**6 + 0*q**3 + 1/20*q**4 + 0*q + 37/150*q**5. Factor a(w).
2*w*(w + 3)*(12*w + 1)/5
Let q = 3/86524 + 740834/800347. Let g = q - -12/37. Suppose g*b**3 + 1 + 17/4*b**2 + 4*b = 0. Calculate b.
-2, -1, -2/5
Let l(w) be the second derivative of 0*w**2 - 1/3*w**3 + 0*w**4 + 1/40*w**5 + 32*w + 2. Let l(j) = 0. What is j?
-2, 0, 2
Let s be (72496/70)/(-2) + (-15)/25. Let j = -518 - s. Factor -3/7*o**2 + j*o - 3/7*o**3 + 3/7.
-3*(o - 1)*(o + 1)**2/7
Suppose x = 4*o - 21, -5*o = -1676*x + 1680*x. Suppose 7*q - 3*q - 20 = 0. Determine r, given that 34/3*r**3 + 4*r**2 + 0 - 8*r**q + 0*r - 62/3*r**o = 0.
-3, -1/4, 0, 2/3
Suppose -213*r + 52*r + 392 = 70. Factor 21 + 3/7*h**r + 6*h.
3*(h + 7)**2/7
Suppose 31*i + 476 = -27*i + 476. Let 15/2*w**3 + 6*w**4 + 0*w + i + 3/2*w**2 = 0. Calculate w.
-1, -1/4, 0
Let g(y) be the first derivative of -2*y**3/21 + 139*y**2/7 - 1658. Determine f, given that g(f) = 0.
0, 139
Let o(b) be the second derivative of b**7/105 + 22*b**6/25 + 279*b**5/25 - 10186*b**4/15 - 14053*b**3/5 - 21294*b**2/5 - b + 3548. Let o(x) = 0. Calculate x.
-39, -1, 14
Solve -1/8*j**2 - 1/4 + 3/8*j = 0.
1, 2
Let j be 2688/432 + -3*2/27. Let k(b) be the third derivative of -7*b**2 + 0*b**5 - 2/27*b**3 + 0*b + 1/540*b**j - 1/36*b**4 + 0. Factor k(m).
2*(m - 2)*(m + 1)**2/9
Let i(g) be the second derivative of -g**6/150 + g**5/75 + g**4/6 + 2*g**3/5 - 49*g**2/2 - 6*g - 9. Let m(q) be the first derivative of i(q). Solve m(j) = 0.
-1, 3
Let j(u) = 2*u**2 + 143*u + 3. Let r be (-21)/28*(11 + -7). Let v(a) = -a**2 + a + 1. Let i(t) = r*v(t) + j(t). Suppose i(m) = 0. What is m?
-28, 0
Let k(z) = -30*z**3 - 1. Let w(d) = -183*d**3 + 3699*d**2 - 1142064*d + 1138362. Let v(s) = -6*k(s) + w(s). Find f such that v(f) = 0.
1, 616
Let o(f) = 8*f**2 - 4*f - 6. Let k(d) be the first derivative of -12*d - 3 - 4*d**2 + 17/3*d**3. Let q(s) = -6*k(s) + 13*o(s). Find y, given that q(y) = 0.
-1, 3
Let r be (120 - 121)*(-2 - -3)/((-2)/46). Let w(t) be the third derivative of -3/8*t**4 + 0*t - 1/120*t**6 + 0 - 5/9*t**3 + r*t**2 - 1/9*t**5. Factor w(i).
-(i + 1)*(i + 5)*(3*i + 2)/3
Let y(m) be the third derivative of 28/39*m**3 - 1/390*m**5 + 9*m**2 + 0*m + 0 - 1/13*m**4. Let y(g) = 0. What is g?
-14, 2
Let j(t) = -80*t**2 + 122*t + 2378. Let u(d) = -15*d**2 + 24*d + 476. Let v(i) = 2*j(i) - 11*u(i). Factor v(x).
5*(x - 12)*(x + 8)
Let k = 131861/3 - 43947. Factor -56/15*p**2 - 2/5*p**3 - 22/3*p + k.
-2*(p + 5)**2*(3*p - 2)/15
Let r(i) be the first derivative of -i**4 - 3196*i**3/3 - 319998*i**2 - 636804*i - 2898. Determine f, given that r(f) = 0.
-399, -1
Let d(p) be the first derivative of p**4/5 + 197*p**3/3 + 613*p**2/5 + 49*p + 69. Factor d(z).
(z + 1)*(z + 245)*(4*z + 1)/5
Let q(u) be the first derivative of -u**5/4 + 55*u**4/12 - 119*u + 131. Let k(l) be the first derivative of q(l). Factor k(s).
-5*s**2*(s - 11)
Let k(n) be the second derivative of 5*n**7/231 + 17*n**6/55 + 31*n**5/22 + 63*n**4/22 + 92*n**3/33 + 12*n**2/11 - 1381*n. Let k(f) = 0. What is f?
-6, -2, -1, -1/5
Let j(n) be the second derivative of -n**7/112 + 3*n**6/8 - 57*n**5/20 - 593*n**4/16 + 153*n**3/16 + 867*n**2/4 - 25*n. Determine r, given that j(r) = 0.
-4, -1, 1, 17
Factor 3/4*n**3 - 21/4*n**4 + 9/4*n**2 + 0*n - 15/4*n**5 + 0.
-3*n**2*(n + 1)**2*(5*n - 3)/4
Let u = -17287 - -17291. Let n(i) be the third derivative of -5/12*i**u + 0*i**6 + 0*i**3 + 1/4*i**5 + 0 + 0*i + 31*i**2 - 1/42*i**7. Let n(h) = 0. Calculate h.
-2, 0, 1
Let m = 905/692 + -10/173. Let t(u) be the first derivative of 10*u + 0*u**3 + m*u**4 - 15 - 15/2*u**2. Factor t(i).
5*(i - 1)**2*(i + 2)
Let j(z) be the third derivative of -z**8/1680 - 3*z**7/350 - 7*z**6/300 + z**5/150 + z**4/8 + 7*z**3/30 - 972*z**2. Factor j(h).
-(h - 1)*(h + 1)**3*(h + 7)/5
Let r be (1 - 1)/3 + (-2 - -4). Suppose -6*t + r*w = -2*t - 4, t + w = 7. Factor 3*s**t - 21*s - 6*s**3 + 18*s + 6*s**2.
-3*s*(s - 1)**2
Let b be ((-208)/1365*7)/(-4). Factor b + 2/15*v**3 + 0*v**2 - 2/5*v.
2*(v - 1)**2*(v + 2)/15
Let p(q) = q**2 - 26*q - 54. Let a be p(28). Factor -24176*u**a + 4*u - 4 + 24175*u**2 + 0*u.
-(u - 2)**2
Let p = -437011/27 + 16191. Let r = p + -2/27. Factor 4/3*k**4 - 2/3*k**5 + 4/3*k**3 - 4/3 - r*k**2 + 14/3*k.
-2*(k - 1)**4*(k + 2)/3
Let t(h) be the second derivative of -1/360*h**5 + 0 + 12*h**2 + 0*h**3 + 1/48*h**4 - 15*h. Let i(w) be the first derivative of t(w). Factor i(n).
-n*(n - 3)/6
Suppose -4*t + 5 = -3*d - 0, 4*d - 40 = -4*t. Suppose d = -10*m + 25. Factor 6/5*r**3 - 1/5*r**m + 0 + 1/5*r**4 - 6/5*r.
r*(r - 1)*(r + 1)*(r + 6)/5
Let -70*z - 26*z - 144 - 19*z**2 - 217075*z**3 + 217074*z**3 = 0. Calculate z.
-12, -4, -3
Let k(c) be the third derivative of c**8/504 + 16*c**7/315 - c**6/9 - 5*c**5/9 + 19*c**4/36 + 34*c**3/9 - 1012*c**2. Let k(y) = 0. What is y?
-17, -1, 1, 2
Let c(q) = -q**4 + q**3 - q**2 + 2*q - 1. Let x(r) = -16*r**4 + 725*r**3 - 14940*r**2 + 24038*r + 6077. Let s(k) = 21*c(k) - 3*x(k). Let s(i) = 0. What is i?
-2/9, 2, 39
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