+ 2)*(5*b + 3)/7
Suppose -w + 1/4*w**4 - 11/4*w**3 - 21/2*w**2 + 14 = 0. Calculate w.
-2, 1, 14
Let c = 2860 - 2857. Let a(v) be the second derivative of 0 - 64/51*v**c + 49/34*v**5 - 12/17*v**2 + 2*v - 7/102*v**4. Factor a(f).
2*(5*f - 3)*(7*f + 2)**2/17
Let i(b) be the first derivative of b**4 - 16*b**3 + 64*b**2 + 548. Solve i(p) = 0.
0, 4, 8
Suppose -12 + 42 = 5*k. Let d(j) = 2*j**4 + 4*j**3 + 26*j**2 + 6*j. Let z(l) = l**4 + 4*l**3 + 25*l**2 + 7*l. Let q(c) = k*z(c) - 5*d(c). Factor q(u).
-4*u*(u - 3)*(u + 1)**2
Let o(d) be the second derivative of d**5/60 + d**4/2 + 6*d**3 - 40*d**2 - 144*d. Let c(y) be the first derivative of o(y). Find g such that c(g) = 0.
-6
Let i(p) be the first derivative of -p**7/840 + 2*p**6/45 + 7*p**5/24 + 3*p**4/4 + 181*p**3/3 - 88. Let d(c) be the third derivative of i(c). Factor d(w).
-(w - 18)*(w + 1)**2
Let s(o) be the third derivative of -o**6/360 - 23*o**5/36 - 37*o**4/6 - o**2 + 3826. Factor s(k).
-k*(k + 4)*(k + 111)/3
Suppose 4*h + 11 = 51. Suppose -11*s = -h*s - 4. Determine l, given that s*l**2 + 21*l - 20 - l**2 - 4 = 0.
-8, 1
Suppose 3*m = -4*z + 4657 + 2738, 3*z - 5545 = -m. Suppose z*b = 1838*b + 90. Suppose -b*o - 6 + 9/4*o**3 + 3/2*o**2 = 0. What is o?
-2, -2/3, 2
Let x(b) be the third derivative of b**7/504 + b**6/36 - 7*b**5/8 - b**4/4 - 7*b**3/3 + 3*b**2 + 24. Let t(v) be the second derivative of x(v). Factor t(q).
5*(q - 3)*(q + 7)
Let s(v) be the third derivative of -v**8/3360 + v**6/360 - 73*v**4/24 - 23*v**2. Let m(d) be the second derivative of s(d). Factor m(w).
-2*w*(w - 1)*(w + 1)
Solve -196/11*u**3 + 196/11*u - 9604/11 + 1/11*u**4 + 873*u**2 = 0.
-1, 1, 98
Let m be (7 + (-7023)/35)*10/(-8). Let g = m + -479/2. Factor 6/7*n - g*n**5 - 20/7*n**3 + 6*n**4 - 12/7*n**2 + 2/7.
-2*(n - 1)**3*(3*n + 1)**2/7
Suppose -3*k = -5*u + 30, 13 = -4*u + 5*u - 2*k. Solve 15*o - 23*o**3 + 33 + 25*o**u - 11 - 39*o + 10 = 0.
-4, 2
Let i be 52/(-494) + (-158)/(-57). Let g(y) be the first derivative of 2*y**2 - 4/5*y**5 - 2*y**4 - 4*y + 2/3*y**6 - 5 + i*y**3. Find b such that g(b) = 0.
-1, 1
Let -239/3*z + 1/2*z**4 - 117/2*z**2 - 20 + 5/3*z**3 = 0. What is z?
-12, -1, -1/3, 10
Let t(q) be the first derivative of -q**4/21 - 16*q**3/21 - 24*q**2/7 + 98*q + 96. Let m(y) be the first derivative of t(y). Determine f, given that m(f) = 0.
-6, -2
Let k(h) be the third derivative of -1/750*h**5 - 4*h**2 - 1/500*h**6 + 2/75*h**3 + 0*h + 1/100*h**4 - 2 - 1/2625*h**7. Solve k(g) = 0 for g.
-2, -1, 1
Let z(f) be the second derivative of f**5/30 - 37*f**4/6 - 38*f**3/3 + 224*f**2/3 - 4794*f. Determine o so that z(o) = 0.
-2, 1, 112
Let p(a) = -10*a**4 + 5337*a**3 + 57*a. Let s(i) = -i**4 + 593*i**3 + 6*i. Let v(x) = -2*p(x) + 19*s(x). Solve v(t) = 0 for t.
-593, 0
Let l = 399 + -396. Factor -24*m**2 + l*m**4 + m**4 + 62*m**3 - 66*m**3.
4*m**2*(m - 3)*(m + 2)
Suppose -19 = -3*k + 17*d - 22*d, -2*k = -5*d + 4. Solve -57*m**2 + 9*m**2 - 87*m**k - 28*m**4 + 23*m**3 - 4*m**5 = 0.
-3, -2, 0
Factor 3/2*r**3 - 3135/2*r + 291/2*r**2 + 8025/2.
3*(r - 5)**2*(r + 107)/2
Let z(p) be the third derivative of -p**5/140 - 33*p**4/8 + p**2 - 69. Factor z(d).
-3*d*(d + 231)/7
Let r(o) be the second derivative of o**9/432 + 23*o**8/1344 + 25*o**7/504 + o**6/16 + 55*o**4/4 + 172*o. Let n(a) be the third derivative of r(a). Factor n(m).
5*m*(m + 1)**2*(7*m + 9)
Let c(d) be the second derivative of -d**7/16 - 51*d**6/80 + 21*d**5/160 + 167*d**4/32 + 9*d**3 + 21*d**2/4 - 3400*d. What is n in c(n) = 0?
-7, -1, -2/7, 2
Let d(o) be the second derivative of 11082241*o**4/4 - 6658*o**3 + 6*o**2 + 4183*o. Let d(w) = 0. Calculate w.
2/3329
Let g = -3 - -13. Let r be (-12)/10*70/21. Let i(l) = -l**2 + 6. Let o(y) = -2*y**2 + 13. Let c(h) = g*i(h) + r*o(h). Solve c(v) = 0.
-2, 2
Factor -216/5*c**2 + 0*c + 0 + 2/5*c**3.
2*c**2*(c - 108)/5
Suppose -6*w - 4*t - 25 + 73 = 0, 2*w = 4*t - 32. Suppose w - 7/3*u**3 - 10/3*u**2 + 11/3*u = 0. Calculate u.
-2, -3/7, 1
Suppose -4*k - i = -24, -18*k + 6*i - 94 = -17*k. Find o such that 0 + 4/9*o**5 + 2/9*o - 1/9*o**4 - 4/3*o**3 - 5/9*o**k = 0.
-1, 0, 1/4, 2
Let y(o) be the first derivative of o**5/35 + 37*o**4/14 + 48*o**3/7 - 1892. Find r such that y(r) = 0.
-72, -2, 0
Let m = -195524 - -391055/2. What is p in -9*p - 1/4*p**3 - m*p**4 + 0 + 3/4*p**5 + 15*p**2 = 0?
-2, 0, 2/3, 3
Let l(p) = p**4 + 10*p**3 - 36*p**2 + 162*p - 197. Let h(u) = -3*u**4 - 27*u**3 + 108*u**2 - 486*u + 589. Let z(c) = 4*h(c) + 11*l(c). Factor z(j).
-(j - 3)**3*(j + 7)
Suppose 4*s = -5*f - 14, f + 30 - 8 = -4*s. Let j be (10/6 - 2)*s. Solve 4*v**5 + 6 - 8*v**4 + 2*v**2 + 6*v**j - 4*v**3 - 6 = 0.
-1, 0, 1, 2
Let d be (-12)/15 - 55/(-55). Let v(a) be the second derivative of 2*a**2 - 2/3*a**3 + d*a**5 - 11*a - 1/3*a**4 + 0. Factor v(i).
4*(i - 1)**2*(i + 1)
Let h(q) be the third derivative of q**5/30 - 10*q**4/3 - 75*q**3 - q**2 - 66*q + 6. Let h(a) = 0. What is a?
-5, 45
Let t(y) = 3*y**2 + y - 2. Let m be t(-4). Let -4*d**3 - m*d**4 + 78*d**4 + 4*d**2 - 35*d**4 = 0. Calculate d.
0, 2
Let d(w) be the second derivative of -w**4/4 + 9*w**3 + 57*w**2/2 + 603*w. Factor d(o).
-3*(o - 19)*(o + 1)
Let h(w) be the third derivative of -5*w**4/12 + 3*w**3/2 - 35*w**2. Let n be h(0). Factor -4*a + 5*a**3 + 5*a**2 - 14*a**4 - a + n*a**4.
-5*a*(a - 1)**2*(a + 1)
Factor 306916/3 + 1108/3*z + 1/3*z**2.
(z + 554)**2/3
Let n = 26/9751 - -9647/39004. Let -9/4*f - n*f**2 + 0 = 0. What is f?
-9, 0
Let k(o) be the first derivative of -2*o**5/85 - 46*o**4/17 - 4904*o**3/51 - 15456*o**2/17 - 56448*o/17 - 3302. Find z, given that k(z) = 0.
-42, -4
Let h(u) be the third derivative of -u**6/120 - 13*u**5/40 + 7*u**4/4 + 55*u**3/6 + 2*u**2 + 36. Let x(c) be the first derivative of h(c). Factor x(n).
-3*(n - 1)*(n + 14)
Let q = 21 - 45. Let n(k) = -k - 20. Let i be n(q). Solve 11*v**2 + 3*v**3 - 4*v - 10*v**2 + 3*v**2 - i*v**4 + v**5 = 0.
-1, 0, 1, 2
Let m = 313/1923 + 5/1282. Let l(u) be the third derivative of 2/3*u**6 + 0 + 0*u + 0*u**3 + 5/12*u**4 - m*u**7 - 11/12*u**5 - 12*u**2. Factor l(k).
-5*k*(k - 1)**2*(7*k - 2)
Let c(n) be the second derivative of -112*n**6/45 - 941*n**5/30 - 355*n**4/3 - 544*n**3/9 + 352*n**2/3 - 4250*n. Suppose c(i) = 0. Calculate i.
-4, -11/16, 2/7
Let m(g) = g**3 - 24*g**2 + 45*g - 22. Let s be m(22). Suppose -3*f = 3*l, s = 4*f - 6*l + 7*l. Factor -1/3*t**3 + 0*t - 2/3*t**2 + f.
-t**2*(t + 2)/3
Let c = -3/733 - -781/11728. Let h(l) be the third derivative of c*l**4 - 1/80*l**6 - 1/4*l**3 - 13*l**2 + 0*l + 0 + 1/40*l**5. Factor h(r).
-3*(r - 1)**2*(r + 1)/2
Determine s so that 826/3*s**2 - 24 - 32*s - 832/3*s**3 - 12*s**5 + 298/3*s**4 = 0.
-2/9, 1/2, 2, 3
Let a be (140/(-25))/(47 + 74145/(-1575)). Suppose 1/2*s**4 + 28*s - a + 8*s**3 + 37*s**2 = 0. What is s?
-7, -3, 1
Suppose -4 = -y - 6, 0*h - 2*h - 3*y = 0. Solve -64/5*r**2 - 24/5*r**4 + 36/5*r + 56/5*r**h + 4/5*r**5 - 8/5 = 0 for r.
1, 2
Find d, given that 639 - 15*d**2 - 5*d**3 - 2264 + 137*d + 388*d = 0.
-13, 5
Factor 526 + 34*g**2 - 31 + 18*g**2 - 150*g - 57*g**2.
-5*(g - 3)*(g + 33)
Let a(q) be the second derivative of q**6/840 + q**5/105 + q**4/56 - 36*q**2 + 80*q. Let n(y) be the first derivative of a(y). Factor n(m).
m*(m + 1)*(m + 3)/7
Let k = -1228 - -1228. Let w(u) be the third derivative of -13*u**2 + k + 1/60*u**5 - 1/16*u**6 + 1/6*u**3 + 11/48*u**4 + 0*u. Suppose w(t) = 0. Calculate t.
-2/3, -1/5, 1
Let h = 617 - 624. Let r(k) = 5*k**4 - 7*k**2 + 7*k - 7. Let n(g) = 4*g**4 + 2*g**3 - 6*g**2 + 6*g - 6. Let y(z) = h*n(z) + 6*r(z). Factor y(i).
2*i**3*(i - 7)
Let y(h) be the third derivative of h**6/60 - 3*h**5/55 + h**4/44 - 103*h**3/2 - 169*h**2. Let r(n) be the first derivative of y(n). Factor r(d).
6*(d - 1)*(11*d - 1)/11
Let p(w) = 8*w + 16. Let u be p(-2). Find c, given that 12*c**3 - 10*c**4 + 8*c**2 + 4*c**4 - 2*c**4 + u*c**4 - 12*c = 0.
-1, 0, 1, 3/2
Let h(c) = 843*c**2 - 7*c - 2. Let k be h(-1). Let t = k + -834. Find y such that -4*y**2 + 0 - t*y - 2/7*y**3 = 0.
-7, 0
Let p(z) be the second derivative of z**6/120 - 3*z**5/80 - 37*z**4/48 - 11*z**3/8 + 9*z**2 + 639*z. Factor p(n).
(n - 8)*(n - 1)*(n + 3)**2/4
Let a(t) be the third derivative of -7/60*t**6 + 0 - 318*t**2 - 1/30*t**5 + 3/70*t**7 - 1/336*t**8 + 0*t - 7/6*t**3 + 5/8*t**4. Factor a(j).
-(j - 7)