v**3/3 - 194*v**2/5 + 384*v/5 + 753. Solve b(z) = 0.
2, 96
Let k(d) be the third derivative of -1/660*d**6 + 1/11*d**3 - 2*d**2 + 1/330*d**5 + 7 + 5/132*d**4 + 0*d. Suppose k(n) = 0. What is n?
-1, 3
Find h such that 25*h**4 - 5054*h - 5225*h**2 + 211*h**3 + h**5 - 351*h**3 - 7*h**3 = 0.
-19, -1, 0, 14
Let z = 1385 + -2765/2. Let t(j) be the first derivative of 5/4*j**4 + 2 + 0*j + 0*j**3 - z*j**2. Factor t(p).
5*p*(p - 1)*(p + 1)
Factor 5*u**5 - 85*u**2 + 16*u - 49*u**3 + 9*u - 15*u**4 - 2*u - 26*u**3 - 53*u.
5*u*(u - 6)*(u + 1)**3
Let o(d) be the first derivative of -d**3/4 - 18*d**2 - 189*d - 8612. Find v, given that o(v) = 0.
-42, -6
Let b(p) be the third derivative of -5*p**8/336 + 11*p**7/14 + 135*p**6/8 + 1075*p**5/12 - 6991*p**2. Solve b(f) = 0 for f.
-5, 0, 43
Let q(v) be the second derivative of v**6/540 + v**5/45 + 4*v**3/3 + v**2/2 - v - 13. Let z(l) be the second derivative of q(l). Factor z(d).
2*d*(d + 4)/3
Solve 16/5*u**3 + 0*u + 0 + 2/5*u**4 - 18/5*u**2 = 0 for u.
-9, 0, 1
Let j(p) be the third derivative of -p**6/160 + 377*p**5/40 - 142129*p**4/32 + 88*p**2 - 19*p - 1. Factor j(u).
-3*u*(u - 377)**2/4
Let l(z) = -24*z**3 - 586*z**2 - 43216*z. Let w(u) = -83*u**3 - 1757*u**2 - 129647*u. Let m(g) = 7*l(g) - 2*w(g). Factor m(v).
-2*v*(v + 147)**2
Let l(u) be the second derivative of -u**6/45 + 9*u**5 - 3082*u**4/3 + 35912*u**3/9 - 360*u - 2. Let l(k) = 0. What is k?
0, 2, 134
Let x(k) = k - 1. Let p(i) = 19*i - 75. Let d(q) = -p(q) + 6*x(q). Let b be d(5). Let 0 - 1/5*m**5 + 3/5*m**b + 2/5*m - 3/5*m**2 - 1/5*m**3 = 0. What is m?
-1, 0, 1, 2
Let l(f) be the third derivative of -f**8/4032 + f**7/336 + f**6/8 + f**5/10 + f**4/12 + 102*f**2. Let a(k) be the third derivative of l(k). Factor a(b).
-5*(b - 6)*(b + 3)
Let x(j) be the first derivative of j**6/180 - j**5/15 + j**4/4 - 32*j**3/3 - 78. Let s(h) be the third derivative of x(h). Determine v so that s(v) = 0.
1, 3
Determine j so that 48/7*j + 32/7*j**2 - 64/7 - 4/7*j**4 - 12/7*j**3 = 0.
-4, -2, 1, 2
Let j be -69*(-2)/6 - 5. Factor -j + 30*a + 28*a**2 + 26*a**2 - 9*a - 57*a**2.
-3*(a - 6)*(a - 1)
Let z(k) = 2043*k - 189996. Let c be z(93). Factor -6*m + 27/2*m**2 + 42*m**c + 0.
3*m*(4*m - 1)*(7*m + 4)/2
Let w = 348 - 1081. Let c = 736 + w. Let -1/6*v**c - 1/2*v + 1/6 + 1/2*v**2 = 0. Calculate v.
1
Let j(r) be the first derivative of r**5/160 + 5*r**4/32 - 17*r**3/24 - 18*r - 45. Let i(v) be the first derivative of j(v). Solve i(f) = 0.
-17, 0, 2
Suppose 2*a = 69 - 169. Let f = 55 + a. Determine n, given that -f*n + 4*n + 5 + n - 5*n**2 = 0.
-1, 1
Let s(u) = -27*u**2 + 15939*u - 31878. Let x(g) = -38*g**2 + 22314*g - 44629. Let q(k) = -17*s(k) + 12*x(k). Factor q(y).
3*(y - 1063)*(y - 2)
Let v = 6414/365 - 88/5. Let q = 65/292 - v. Let 1/4*l**3 - q*l**2 - 1/4*l + 1/4 = 0. Calculate l.
-1, 1
Let x(w) = 15*w + 7. Suppose 2*v = v + 3. Let p be x(v). Find c such that -260*c - 48 - 4*c**5 + 8*c**3 + 2*c**2 + 28*c**4 - 186*c**2 - p = 0.
-1, 5
Let q(o) be the second derivative of 1/63*o**7 + 0*o**2 - 2/45*o**6 - 1/10*o**5 + 0*o**3 - 1 + 10*o + 0*o**4. Determine b, given that q(b) = 0.
-1, 0, 3
Let h be (-220)/30 + (-10976)/(-240). Factor h*u + 12/5 + 135*u**3 + 171*u**2.
3*(u + 1)*(15*u + 2)**2/5
Let k be 81/162 + 13/2. Let t be 7 + -7 + -4 + k. Factor -1/3*d**t + 1/3*d**2 + 0 + 0*d.
-d**2*(d - 1)/3
Let k(p) = -20*p**5 + 26*p**4 - 84*p**3 - 24*p**2 - 34. Let h(y) = -7*y**5 + 9*y**4 - 30*y**3 - 8*y**2 - 12. Let j(d) = 17*h(d) - 6*k(d). Factor j(o).
o**2*(o - 4)*(o - 1)*(o + 2)
Let k(x) be the third derivative of -x**7/525 + 17*x**6/300 - 22*x**5/75 + 7*x**4/15 + 746*x**2. Determine c, given that k(c) = 0.
0, 1, 2, 14
Let a(i) be the first derivative of 1/4*i**4 + 118 - 5/12*i**3 + 0*i - 1/20*i**5 + 1/4*i**2. Find t, given that a(t) = 0.
0, 1, 2
Let q(t) be the third derivative of -t**5/360 + 47*t**4/24 - 140*t**3/9 - 4*t**2 + 5*t. Determine x so that q(x) = 0.
2, 280
Let g(o) be the second derivative of 4/3*o**3 - 2 + 4/5*o**5 + 5/3*o**4 + 2/15*o**6 + 0*o**2 - 4*o. Factor g(s).
4*s*(s + 1)**2*(s + 2)
Let s be (-5)/((-225)/(-6)) + (-7928)/(-60). Let i be (-22)/s + (-5)/(-6). Find w, given that i*w**3 - 2/9*w**4 + 0 - 2/3*w**2 + 2/9*w = 0.
0, 1
Let k(r) be the first derivative of -2/9*r**3 - 1/18*r**4 + 43 - 18*r + 0*r**2. Let y(q) be the first derivative of k(q). Factor y(d).
-2*d*(d + 2)/3
Let d(j) be the first derivative of -j**6/45 + 4*j**5/3 + 157*j**4/30 + 212*j**3/45 + 1688. What is p in d(p) = 0?
-2, -1, 0, 53
Let z(w) = -1311*w**2 - 22731*w + 1020. Let p(t) = 164*t**2 + 2841*t - 128. Let h(g) = -39*p(g) - 5*z(g). Factor h(i).
3*(i + 18)*(53*i - 2)
Let 15/4*q + 93/2*q**3 + 27*q**2 + 27*q**4 + 0 + 15/4*q**5 = 0. What is q?
-5, -1, -1/5, 0
Let b(i) be the first derivative of 3/8*i**5 + 0*i - 6*i**3 + 0*i**2 + 1/18*i**6 - 19 + 5/12*i**4. Let x(j) be the third derivative of b(j). Factor x(o).
5*(o + 2)*(4*o + 1)
Suppose 2/7*c**3 - 50/7 - 54/7*c**2 + 102/7*c = 0. What is c?
1, 25
Factor 22*g**2 + 8 - 119*g + 338*g - 167*g + 15*g**4 + 84*g**2 + 71*g**3.
(g + 2)**2*(3*g + 1)*(5*g + 2)
Suppose 11*z - 15*z - 8 = -i, 4*i - 15 = -z. Suppose -3*l = i*q - 4 - 16, q - 5*l + 18 = 0. Factor 0 + 2/13*t**q + 4/13*t.
2*t*(t + 2)/13
Let y(b) = -3*b**3 - 45*b + b - 56*b**2 - 14*b + 5*b**3. Let z(g) = -g**3 + 29*g**2 + 30*g. Let m(d) = -3*y(d) - 5*z(d). Factor m(c).
-c*(c - 24)*(c + 1)
Let v = -1 + 1. Suppose 4*b - 1 = -p - 9, -3*p + 4*b + 56 = 0. Factor 7*t**2 - 3*t**2 + p*t**3 + v*t**2 + 4*t**5 - 3*t**4 + 15*t**4.
4*t**2*(t + 1)**3
Let g(r) = -5*r**2 + 85*r + 373. Let v(p) = 3*p**2 - 42*p - 186. Suppose 0*u = -4*c - 4*u + 52, 19 = c + 4*u. Let l(j) = c*v(j) + 6*g(j). Solve l(s) = 0.
-8
Solve -3*k**2 + 5452*k - 1895755 - 889*k - 328208 + 603*k = 0.
861
Let w(q) be the second derivative of 1/2*q**4 - 2*q + 49 + 3/2*q**2 - 3/40*q**5 - 5/4*q**3. Factor w(y).
-3*(y - 2)*(y - 1)**2/2
Let h be ((-18)/(-108))/(((-1323)/(-648))/7). Factor h*p**3 + 0*p**2 + 0*p + 0 - 2/7*p**5 + 2/7*p**4.
-2*p**3*(p - 2)*(p + 1)/7
Let i be (-41 - -44)/(2/(-8)*6). Let o be (-22 + 40/2)/(3/i). Factor -o - 16/9*x + 1/3*x**2.
(x - 6)*(3*x + 2)/9
Let n = -19522 + 19566. Let r(u) be the second derivative of -10*u**2 - u**5 + 0 + 1/6*u**6 + n*u + 10/3*u**3 + 5/4*u**4. Find c, given that r(c) = 0.
-1, 1, 2
Let u be 9780/(-40) + -2 + 4. Let i = u - -243. Factor 3/2*d + i*d**3 + 1/2 + 3/2*d**2.
(d + 1)**3/2
Suppose 4*o - 12 = 0, -c - 2*o + 4 + 6 = 0. Solve 14*d - 14 + 3*d**2 - 4*d**3 + 5*d - 3*d**3 - 12*d**c + 11*d**4 = 0 for d.
-7, -2, 1
Let m(u) = -9*u**2 - 1238*u - 2320. Let s(y) = 13*y**2 + 1850*y + 3480. Let l(j) = 7*m(j) + 5*s(j). Factor l(w).
2*(w + 2)*(w + 290)
Factor -22430*v**2 + 2744 - 20719 - 3150 - 42900*v - 660*v**3 - 5*v**4.
-5*(v + 1)**2*(v + 65)**2
Let f(x) be the second derivative of 1/72*x**4 + 6*x - 12 + 1/18*x**3 - 2/3*x**2. Solve f(b) = 0.
-4, 2
Let n(s) be the second derivative of -s**5/80 - 7*s**4/48 + 469*s**3/24 + 475*s**2/8 + s - 2294. Factor n(x).
-(x - 19)*(x + 1)*(x + 25)/4
Let s = -1797 + 909. Let l be s/(-259)*7*(-4)/(-30). Let 2*j**2 + 6/5 - l*j = 0. Calculate j.
3/5, 1
Suppose 5*f - 5*c + 2*c = 55, 25 = -5*c. Suppose 4*h - f = 3*h. Factor -o - o**2 + 0*o**3 - h*o + o + 2*o**3 + 4.
(o - 2)*(o + 2)*(2*o - 1)
Suppose -37*r - 65 = -287. Let w(q) be the first derivative of 2/5*q**5 - 1/12*q**r + 0*q**2 + 0*q - 5 + 1/3*q**3 - 5/8*q**4. Suppose w(v) = 0. Calculate v.
0, 1, 2
Factor 8*y**2 - 9*y**2 + 780*y - 621 - 203 + 6*y**2 - 756.
5*(y - 2)*(y + 158)
Let s be -8*(-15)/21 - -8*(-9)/(-252). Let t(a) be the second derivative of 14/3*a**3 + s*a**2 - 28*a + 0 + 2/3*a**4. Factor t(c).
4*(c + 3)*(2*c + 1)
Solve -52*p - 4*p**4 - 24 - 1/3*p**5 - 134/3*p**2 - 19*p**3 = 0 for p.
-3, -2
Let t(u) be the first derivative of -u**4/12 - u**3/2 - u**2 - 19*u - 38. Let q(p) be the first derivative of t(p). Factor q(o).
-(o + 1)*(o + 2)
Let w be (-3 + 2 - (-23)/(2300/180))*(-1060)/(-24). Find t such that w*t - 4/3 + 110/3*t**2 = 0.
-1, 2/55
Let s = -1368/17 - 3487/68. Let k = s + 132. Suppose 9 - 11/4*f**2 - 3*f + 1/2*f**3 + k*f**4 = 0. What is f?
-3, 2
Let d(x) = x**2 - x. Suppose 5*l + 2*i - 274 = 0, 3*l - 182 = -5*i - 10. Let f(b) = -36 - l - 2 + 20*b**2 + 37 - 65*b. Let w(t) = -15*d(t) + f(t). Factor w(n).
5*(n - 11)*(