**5 + 14*d**5 - 66*d**2 + 19*d**5 + 12*d**4 - 42*d**2 - 44*d**5.
3*d*(d - 3)**2*(d + 3)*(d + 7)
Let o be (37 + (-4 - -1))*(-206)/(-1751). Determine u so that 0 - 10*u + 19/2*u**2 - 1/2*u**o + u**3 = 0.
-4, 0, 1, 5
Let z(p) be the third derivative of -p**5/720 + 331*p**4/96 + 497*p**3/36 - 514*p**2. Factor z(h).
-(h - 994)*(h + 1)/12
Let z = 206731/1240404 + 1/413468. Factor 0 + 1/6*d**3 + 5/2*d + 17/6*d**2 - z*d**4.
-d*(d - 5)*(d + 1)*(d + 3)/6
Find y, given that -95 + 14*y**3 + 162*y - 55*y - 1 + 488*y**2 - 4*y**3 + 275*y = 0.
-48, -1, 1/5
Let d(b) = -2*b + 76. Let x be ((-72)/7)/(10/(-35)). Let c be d(x). Let 0 + 6/5*k**c + 0*k + 4/5*k**2 + 2*k**3 = 0. Calculate k.
-1, -2/3, 0
Suppose 1315 = -l + 17*j - 15*j, 0 = 5*l - 5*j + 6550. Let m = l - -6527/5. Suppose -26/5*x + 28/5 - m*x**2 = 0. Calculate x.
-14, 1
Let h(l) be the first derivative of l**7/924 + l**6/990 - l**5/33 - 2*l**4/33 + l**3 + 5*l**2/2 - 53. Let n(r) be the third derivative of h(r). Factor n(v).
2*(v - 2)*(v + 2)*(5*v + 2)/11
Let u(k) = -k**2 + 14*k + 23. Suppose 6*q + 56 = 10*q. Let c be u(q). Factor 35*x**2 - c*x**5 + 5*x + 77*x**4 + 75*x**3 + 43*x**5 - 12*x**4.
5*x*(x + 1)**3*(4*x + 1)
Find u, given that 0 + 2/7*u**3 + 634/7*u**2 + 0*u = 0.
-317, 0
Let p = 421 + -325. Solve -3*h**2 - 93*h**4 + 198*h**4 - 15*h - 6 + 15*h**3 - p*h**4 = 0 for h.
-1, -2/3, 1
Let q(h) = 37*h**2 - 124*h + 43. Let x be q(3). Suppose -3/7*p**2 + 3/7*p**x - 3/7*p**3 + 3/7*p + 0 = 0. What is p?
-1, 0, 1
Let j be 1*18 + (-2 - -1) + 2. Factor 14 + 61 - j + 36*n + 4*n**2.
4*(n + 2)*(n + 7)
Let z(c) be the second derivative of -c**5/30 + c**4/2 - 5*c**3/3 + 21*c**2/2 + 36*c - 2. Let u(q) be the first derivative of z(q). Factor u(w).
-2*(w - 5)*(w - 1)
Factor 1/4*t**4 - 45/4*t + 43/4*t**2 - 11 + 45/4*t**3.
(t - 1)*(t + 1)**2*(t + 44)/4
Let 0 + 64/13*h - 10*h**2 + 68/13*h**3 - 2/13*h**4 = 0. What is h?
0, 1, 32
Determine t, given that 1366/3*t**3 - 2888/3*t + 25*t**4 - 532*t**2 + 1/3*t**5 + 0 = 0.
-38, -1, 0, 2
Let k(b) be the first derivative of -b**3/2 - 57*b**2 - 2166*b + 225. Factor k(x).
-3*(x + 38)**2/2
Let w(p) be the second derivative of -2*p + 1/105*p**7 + 3/5*p**4 - 9/5*p**3 + 13/25*p**5 - 27/5*p**2 + 6 + 3/25*p**6. Factor w(m).
2*(m - 1)*(m + 1)*(m + 3)**3/5
Let b(x) be the first derivative of -17*x**5/10 + 101*x**4/16 - 65*x**3/12 - x**2/4 - 387. Let b(r) = 0. What is r?
-1/34, 0, 1, 2
Suppose -1089 = -19*i + 10*i. Let t be (11/i)/((-1)/(-4)). Let 6/11*s**2 + 2/11*s**3 + 0 + t*s = 0. Calculate s.
-2, -1, 0
Let u(k) = 4*k**2 - 56*k. Let h(c) = -c**2 + 14*c. Suppose -3*s + 4*l = -2, -4 = -4*s - l + 5. Let p(y) = s*u(y) + 9*h(y). Let p(q) = 0. What is q?
0, 14
Let b(o) be the second derivative of 3*o**5/100 + 5967*o**4/20 + 11868363*o**3/10 + 23606174007*o**2/10 - 1005*o. Let b(n) = 0. Calculate n.
-1989
Suppose 200*r = 192*r - 24. Let n be r/27*(-12 + 9). Suppose -s + n*s**3 + 0*s**2 - 2/3 = 0. Calculate s.
-1, 2
Let q(l) be the second derivative of l**8/1680 - l**7/420 - 7*l**6/360 - l**5/30 - 17*l**3/6 + 55*l. Let f(p) be the second derivative of q(p). Factor f(r).
r*(r - 4)*(r + 1)**2
Let g(u) be the first derivative of -7*u**4/6 - 8*u**3/3 + 4*u**2/3 - 162. Factor g(r).
-2*r*(r + 2)*(7*r - 2)/3
Let t be (-3 + 5/(-225)*-109)*3. Let k = t - -524/285. Solve -4/19*z**2 + 22/19*z**3 - 24/19*z + 16/19 - 12/19*z**4 + k*z**5 = 0.
-1, 1, 2
Suppose 852*y = 816*y + 65 + 43. Let g(n) be the second derivative of 12/11*n**2 - 3/55*n**5 - 1/165*n**6 - 3/22*n**4 + 4/33*n**y - 16*n + 0. Solve g(h) = 0.
-3, -2, 1
Let g be ((-66)/12 + 5)*160/(-4). Find q such that -g*q + 81*q + 5*q**2 - 36*q + 20 = 0.
-4, -1
Let y be (-738)/(-156) + 18/(-78). Find h such that -27/2 + y*h - 3/8*h**2 = 0.
6
Factor 4/3*y**2 + 124/3 - 128/3*y.
4*(y - 31)*(y - 1)/3
Let t = 17 - 37. Let a be 7/2 - 10/t. Find y such that -10 + 15*y**4 + 2*y**2 - 20*y + 0*y**a - 5*y - 7*y**2 + 25*y**3 = 0.
-1, -2/3, 1
Let b = -1930 + 3210. Let 3907*p + 3758*p - 7825*p + 5*p**2 + b = 0. What is p?
16
Factor -1/3*j**5 + 0*j**4 + 0 + 1/3*j**3 + 0*j + 0*j**2.
-j**3*(j - 1)*(j + 1)/3
Let v(y) be the third derivative of 0*y - 1 - 1/240*y**6 - 1/30*y**5 + 141*y**2 + 1/48*y**4 + 1/3*y**3. Let v(q) = 0. Calculate q.
-4, -1, 1
Suppose 0 = l + 3*b + 33 + 128, 0 = 3*b - 3. Let w = 822/5 + l. Determine c so that -98/5 - w*c**2 - 28/5*c = 0.
-7
Find t such that 11320/3*t - 8008900/3 - 4/3*t**2 = 0.
1415
Let m be (491 + -495)/((7/9)/(2*2/(-24))). Solve 54/7*j**2 + 6 + m*j**3 + 90/7*j = 0.
-7, -1
Let s(w) be the second derivative of 2/75*w**6 - 4 + 0*w**3 + 0*w**2 - 2/5*w**5 + 8/15*w**4 + 17*w + 2/105*w**7. Solve s(l) = 0 for l.
-4, 0, 1, 2
Let n(m) be the first derivative of m**6 + 74*m**5/65 - 274*m**4/13 - 1816*m**3/39 + 48*m**2/13 + 3532. Find p, given that n(p) = 0.
-3, -2, 0, 2/39, 4
Let a(l) = 10*l**2 + 45*l - 25. Let i be a(-5). Factor 9/2*t**3 + 27*t**4 - 42*t**2 + i + 18*t.
3*t*(6*t**2 + 5*t - 6)/2
Let m(f) be the second derivative of 0*f**3 + 0*f**2 - 23*f - 1 - 1/6*f**4 - 1/5*f**6 - 2/5*f**5. Let m(u) = 0. What is u?
-1, -1/3, 0
Let n(t) be the second derivative of t**6/120 - t**5/20 + 2*t**3/3 - 145*t**2/2 + 7*t. Let h(g) be the first derivative of n(g). Factor h(l).
(l - 2)**2*(l + 1)
Let s(d) = d**2 - 139. Let b be s(12). Let g(z) be the second derivative of -3/2*z**3 + 18*z + 3/20*z**b + 0*z**2 + 1/2*z**4 + 0. Factor g(v).
3*v*(v - 1)*(v + 3)
Suppose 3 + 97 = 153*o - 206. Let x be (2 + -4)*1/(-3). Let 1/3*b + x - 1/3*b**o = 0. Calculate b.
-1, 2
Suppose -2*u - 14 = -12, 2*n - 3 = -u. Let a(j) be the third derivative of 0*j + 17*j**n - 7/180*j**6 + 4/9*j**4 + 4/9*j**3 + 1/18*j**5 + 0. Factor a(q).
-2*(q - 2)*(q + 1)*(7*q + 2)/3
Let k be ((-65)/117)/(((-90)/(-24))/((-54)/12)). Factor -4*m**2 + k*m**3 + 10/3*m + 0.
2*m*(m - 5)*(m - 1)/3
Let z(l) be the third derivative of 28*l**2 + 0*l + 1/240*l**6 + 0*l**3 + 1/24*l**4 + 0 + 1/40*l**5. Factor z(r).
r*(r + 1)*(r + 2)/2
Let k(a) be the first derivative of -a**4 + 32*a**3 + 104*a**2 + 7969. Factor k(d).
-4*d*(d - 26)*(d + 2)
Let q be (-78)/114 - ((-132)/176 + 2/(-8)). Let j(g) be the first derivative of -13 + 2/57*g**3 - 2/19*g**2 - q*g. Factor j(y).
2*(y - 3)*(y + 1)/19
Let s be (-1)/(5/11586) - (-8)/(-10). Let n = s + 2318. Factor n + 2/7*f**2 + 2/7*f.
2*f*(f + 1)/7
Let x(d) = -3*d**3 - 2*d**2 + 37*d - 92. Let l(g) = -5*g**3 - 6*g**2 + 73*g - 170. Let a(v) = 4*l(v) - 7*x(v). Factor a(u).
(u - 4)*(u - 3)**2
Let v(c) be the third derivative of 5*c + 0*c**5 - 1/165*c**6 + 5*c**2 + 4/33*c**4 + 1/1155*c**7 + 0 - 16/33*c**3. Solve v(i) = 0.
-2, 2
Let a be -15 - 4378/(-286) - 86/364. Let m(f) be the first derivative of 4/7*f + a*f**4 + 37 - 4/7*f**2 - 1/35*f**5 + 1/7*f**3. Factor m(u).
-(u - 2)*(u - 1)**2*(u + 2)/7
Let s(d) be the second derivative of -d**7/48 + 55*d**6/288 - 7*d**5/24 - 51*d**4/4 + d + 27. Let q(z) be the third derivative of s(z). Factor q(i).
-5*(3*i - 7)*(7*i - 2)/2
Let y(k) be the second derivative of -k**7/105 - k**6/30 + k**5/30 + k**4/6 + 41*k**2/2 - k - 2. Let v(f) be the first derivative of y(f). Solve v(d) = 0.
-2, -1, 0, 1
Let i = 10521/7022 + 6/3511. Suppose -12*k**2 + i*k**3 + 30*k - 24 = 0. Calculate k.
2, 4
Suppose 626*u - 1616 = -182*u. Factor -2/7*r**u + 32/7 - 30/7*r.
-2*(r - 1)*(r + 16)/7
Suppose -3*j = -3*i - 36, -4*j + 5*j = -2*i. Suppose j*p - 6 = 18. Factor 2/3*x + 0 - 1/3*x**2 + x**4 - 4/3*x**p.
x*(x - 1)**2*(3*x + 2)/3
Let y be (280/60)/(-2 - (-329)/165). Let o = 3083/4 + y. Solve -o*r**2 - 3/2*r + 9/4 = 0.
-3, 1
Let t(s) = -s**2 - 13*s - 22. Let c(o) be the second derivative of -o**3/6 - o**2 + 5*o + 2. Let p(z) = -22*c(z) + 2*t(z). Let p(j) = 0. What is j?
-2, 0
Let t = -183805/14 + 13129. Let m(p) be the second derivative of -3/140*p**5 + 1/14*p**3 + t*p**4 + 15*p + 0 - 3/7*p**2. Factor m(x).
-3*(x - 2)*(x - 1)*(x + 1)/7
Let p(m) be the first derivative of -m**4/4 + 1333*m**3 - 5330667*m**2/2 + 2368593037*m + 6491. Factor p(d).
-(d - 1333)**3
Let i(o) be the first derivative of 13/2*o**4 + 11/5*o**5 + 16/3*o**3 + 1/6*o**6 + 0*o + 0*o**2 - 36. Solve i(g) = 0.
-8, -2, -1, 0
Find x such that -290/3 - 760/3*x**2 + 25/3*x**3 + 1025/3*x = 0.
2/5, 1, 29
Solve 0 - 7*a - 27/2*a**2 + 1/2*a**4 - 6*a**3 = 0 for a.
-1, 0, 14
Let c(i) = -70*i**2 + 17*i - 87. Let b(v) = -33*v**