j**5. Find a such that v(a) = 0.
-2/5, -1/3, 20
Let f(m) be the second derivative of 0 + 0*m**3 + 1/72*m**4 - 1/180*m**5 + 4*m - 3*m**2. Let p(j) be the first derivative of f(j). Find c such that p(c) = 0.
0, 1
Let b(s) = 4*s + 12. Let w be b(-2). Let n be (w/5)/(20/(-50)) - -2. Find u, given that -3/5*u**2 + 1/5*u**3 + n*u + 4/5 = 0.
-1, 2
Let z = -293 - -317. Find m such that 5 - 4 + 9 + 3*m**2 + 11 + z*m = 0.
-7, -1
Suppose -43*c + 62*c = 4 - 4. What is o in c*o**4 - 2/3*o**5 + 0 + 0*o**2 + 2/3*o**3 + 0*o = 0?
-1, 0, 1
Let m = -3110 + 15553/5. Factor -3/5*t**3 + m*t**2 + 6/5 + 11/5*t - 1/5*t**4.
-(t - 2)*(t + 1)**2*(t + 3)/5
Let i(o) be the third derivative of -1/360*o**6 - 7/24*o**4 - 2/45*o**5 - 117*o**2 + 0 + o - o**3. Solve i(b) = 0 for b.
-3, -2
Let b(z) be the third derivative of z**6/1440 + 7*z**5/480 + z**4/16 + 11*z**3/3 + 143*z**2. Let x(t) be the first derivative of b(t). Factor x(p).
(p + 1)*(p + 6)/4
Suppose -22*o - 136 = 12*o. Let k be ((-82)/574)/(o/7). Factor 3*g**2 + 16 + k*g**3 + 12*g.
(g + 4)**3/4
Let 0*x**2 + 0*x**2 + 20*x**2 - 73*x**5 - 84*x**5 - 50*x**3 - 5*x**4 + 120*x + 162*x**5 = 0. Calculate x.
-2, 0, 2, 3
Let x(i) be the first derivative of -i**5/110 - i**4/66 - 21*i - 65. Let k(j) be the first derivative of x(j). Factor k(r).
-2*r**2*(r + 1)/11
Let r = -167 + 1152. Let j = 3941/4 - r. Find v, given that 1/4*v**3 + 1/4*v**2 - j*v - 1/4 = 0.
-1, 1
Let o(f) be the second derivative of -f**5/30 - f**4/9 + 7*f**3/9 - 4*f**2/3 + 14*f + 30. Factor o(i).
-2*(i - 1)**2*(i + 4)/3
Let j(t) be the second derivative of t**4/4 - 1482*t**3 + 3294486*t**2 - 4623*t. Factor j(b).
3*(b - 1482)**2
Let x(t) be the second derivative of t**5/90 - 5*t**4/36 + 2*t**3/3 - 39*t**2/2 - 5*t - 4. Let n(s) be the first derivative of x(s). Factor n(c).
2*(c - 3)*(c - 2)/3
Let f(u) be the second derivative of u**4/78 + 159*u**3/13 - 478*u**2/13 + 3128*u. Factor f(x).
2*(x - 1)*(x + 478)/13
Let u(m) = -17*m - 2. Let s be u(-4). Suppose -72*d + s*d = -18. Determine l, given that -5*l**3 + 2*l - 8*l**2 - d*l - 3*l + 2*l**3 = 0.
-2, -2/3, 0
Factor 251/6*p - 100 - 1/6*p**3 - 7/3*p**2.
-(p - 8)*(p - 3)*(p + 25)/6
Factor -3/2*h**2 - 327/2 + 165*h.
-3*(h - 109)*(h - 1)/2
Let b(v) be the third derivative of 3*v**3 + 0 - v**2 + v + 1/16*v**4 - 1/40*v**5. Factor b(i).
-3*(i - 4)*(i + 3)/2
Let k be 12/(-20) - (128/40 + -4). Let s be 5 + -9*1 + -39 + 45. Let -1/10*i - k + 1/10*i**3 + 1/5*i**s = 0. What is i?
-2, -1, 1
What is z in 636056/3 - 1/3*z**4 + 257/3*z**3 + 613868/3*z - 7310*z**2 = 0?
-1, 86
Let h(u) be the first derivative of 3*u**4/16 + 389*u**3 + 9327*u**2/8 + 2331*u/2 + 2335. Let h(b) = 0. What is b?
-1554, -1
Let s(k) be the second derivative of -k**5/20 + 5*k**4/6 - 14*k**3/3 + 12*k**2 - k + 1246. Factor s(d).
-(d - 6)*(d - 2)**2
Let y = 214 + -220. Let z be -2 - -1 - (456/44)/y. Find t such that z + 18/11*t**2 - 40/11*t = 0.
2/9, 2
Suppose 5*p = 14 + 6. Suppose -7*d + 103 - 37 = -53, 4*h + 43 = 3*d. Factor -2/3*t**p + 0 + 0*t**h - 8/3*t + 2*t**3.
-2*t*(t - 2)**2*(t + 1)/3
Let c be (-8)/(-16) - 2/(-4)*23. Suppose -6*h + 6 = -c. Factor -64*b**3 + 6*b**4 + 24*b**h + 108 - 216*b - 2*b**4 + 144*b**2.
4*(b - 3)**3*(b - 1)
Suppose 696 - 101 = 119*f. Let x(a) be the third derivative of 0*a - 20*a**2 + 1/8*a**3 - 9/64*a**4 + 7/160*a**f + 0. Factor x(w).
3*(w - 1)*(7*w - 2)/8
Suppose -12 = -q + 5*s, s - 8 = 4*q - 9*q. Find l, given that -3*l**3 - 225*l**2 + 65*l**2 + 75*l**q - 9*l + 70*l**2 + 3*l**4 = 0.
-1, 0, 3
Suppose 0 = -33*x + 13*x. Suppose -6 = -5*i + 3*q + 5, x = -i - 5*q + 19. Factor 1/2*p**5 - 8*p**2 - 3*p**i + 9/2*p - 1 + 7*p**3.
(p - 2)*(p - 1)**4/2
Let i(c) = 13*c**2 - 75*c + 1174. Let h(p) = 97*p**2 - 527*p + 8220. Let u(j) = -2*h(j) + 15*i(j). Factor u(r).
(r - 45)*(r - 26)
Let i = -643719 - -8368351/13. Factor 0 - 2/13*r**4 - 10/13*r**2 + 8/13*r**3 + i*r.
-2*r*(r - 2)*(r - 1)**2/13
Suppose 10 = 3*q - 5, -2*b - 2*q + 136 = 0. Let n = 255/4 - b. Factor 15/4*c - 9/2 - n*c**2.
-3*(c - 3)*(c - 2)/4
Let x(g) be the first derivative of 0*g + 3/2*g**2 - 31/15*g**3 - 201 - 1/25*g**5 + 17/20*g**4. Factor x(t).
-t*(t - 15)*(t - 1)**2/5
Suppose -4*b - 4*m = -68, 0 = -5*b + 3*m + 194 - 205. Find c such that -1/4*c**b + 1/4*c**3 - 3/4*c**4 + 0*c + 7/4*c**2 - 1 = 0.
-2, -1, 1
Factor -18*y**4 - 3848*y**3 - 8*y + 3888*y**3 - 4*y + 46*y**2.
-2*y*(y - 3)*(y + 1)*(9*y - 2)
Suppose 0 = 4*h - 1212 + 324. Suppose -43*o + h = -6*o. What is r in 0 + o*r**2 + 2/5*r**4 + 18/5*r + 14/5*r**3 = 0?
-3, -1, 0
Let i(v) be the second derivative of v**6/10 - 15*v**5/4 + 33*v**4/2 + 1728*v - 1. Solve i(z) = 0.
0, 3, 22
Factor -318/7 + 69*m - 24*m**2 + 3/7*m**3.
3*(m - 53)*(m - 2)*(m - 1)/7
Suppose -464/9*r**2 + 0 - 2/3*r**3 + 464/9*r**4 + 46/9*r**5 - 40/9*r = 0. What is r?
-10, -1, -2/23, 0, 1
Let p(z) be the second derivative of 2*z**5/105 - 25*z**4/18 + 33*z**3/7 - 6*z**2 - 105*z - 3. What is b in p(b) = 0?
3/4, 1, 42
Suppose 4*y - 2*c = -7*c - 8, 21 = 3*y - 3*c. Find q such that -36*q**3 + 176*q**y - 6*q**2 - 25*q**4 + 66*q**2 = 0.
-2/5, 0, 6
Let p(k) be the first derivative of -216/5*k**2 + 146 + 7/5*k**4 + 2/25*k**5 - 1728/5*k + 24/5*k**3. Factor p(r).
2*(r - 4)*(r + 6)**3/5
Let s(f) = -3*f**2 - 11*f - 39. Let x be s(-10). Let l = -226 - x. Let 5*c**l + 5/3*c + 5/3 - 25/3*c**2 = 0. What is c?
-1/3, 1
Let c be (10 + 1632/(-84))/(18/(-28)). Suppose -6*h + 11*h - 4*o = 26, 6 = h - o. Factor 140/3*t + c*t**h + 4/3*t**3 + 100/3.
4*(t + 1)*(t + 5)**2/3
Let h(j) be the second derivative of -2*j**7/147 - 22*j**6/35 + 328*j**5/35 - 1293*j. Solve h(n) = 0 for n.
-41, 0, 8
Suppose -6*m + 36 = 18. Solve 120*g + 27*g**3 - 262*g**2 + 220 - 42*g**m - 63*g**2 = 0 for g.
-22, -2/3, 1
Let v(y) = 7*y**2 - 60*y + 120. Let z be v(3). Let f(u) be the first derivative of -2/27*u**z + 5/9*u**2 - 8/9*u - 33. Solve f(s) = 0 for s.
1, 4
Let v(x) be the second derivative of 4*x**7/63 + 472*x**6/45 + 2293*x**5/30 + 3749*x**4/18 + 2264*x**3/9 + 452*x**2/3 - 4150*x. Suppose v(m) = 0. Calculate m.
-113, -2, -1/2
Let d(i) = 3*i**3 + 3*i**2 - 5*i - 6. Let b be d(14). Let b*o - 549*o**2 - 3*o**3 + 9181*o - 23520*o - 680943 - 9425*o - 18469*o = 0. What is o?
-61
Let p be (41 - 1)*(207/18 - 11). Let b be (p/(-25))/(24/(-60)). Factor 2/3*q**b - 2/3*q - 4.
2*(q - 3)*(q + 2)/3
Let q = -195 - -332. Let j = -135 + q. Solve 3/2*n**2 - 2 - 2*n**3 + j*n + 1/2*n**4 = 0 for n.
-1, 1, 2
Suppose 0 = 3*g - 2*g - 3, 5*k + 22 = 4*g. Let v be 0*4/16*k/4. Determine d, given that -2 - 3*d + 3*d**3 + v + 2 = 0.
-1, 0, 1
Let n be ((-12)/18*-6*6/24)/(10/6). Determine k, given that 0 + 0*k + 0*k**2 + 3/5*k**5 - n*k**3 + 8/5*k**4 = 0.
-3, 0, 1/3
Let x be (0 + -2)/((-454)/681). Let h(i) be the second derivative of 0 - 1/3*i**4 + 2/3*i**x + 0*i**2 + 11*i. Factor h(t).
-4*t*(t - 1)
Let r(h) be the third derivative of 0*h + 5/12*h**4 + 1/30*h**5 + 48*h**2 + 0 + 2*h**3. Solve r(b) = 0 for b.
-3, -2
Let j(l) be the third derivative of -1/60*l**6 + 0 + 0*l + 4/3*l**5 - 301*l**2 - 13/4*l**4 + 0*l**3. What is d in j(d) = 0?
0, 1, 39
Determine g, given that -693/5*g + 216 + 102/5*g**2 + 3/5*g**3 = 0.
-40, 3
Find x, given that 6*x**4 + 6*x**3 + 9*x**3 - 8*x**3 + 175*x - x**4 - 185*x**2 - 2*x**3 = 0.
-7, 0, 1, 5
Let h(x) be the second derivative of -1/6*x**4 - 36*x + 0*x**2 + 2/3*x**3 + 0 + 1/80*x**5. Find y such that h(y) = 0.
0, 4
Let r = -38392 + 38396. Let q(u) be the first derivative of -48 - 1/15*u**5 + 7/12*u**r - 13/9*u**3 - 1/2*u**2 + 6*u. Factor q(i).
-(i - 3)**2*(i - 2)*(i + 1)/3
Let l(b) = -b**2 - 9*b - 16. Let p be (-12)/9*3 - (1 - 1). Let x be l(p). Factor -120*r**x - r**2 + 9*r**2 - 4*r**3 + 116*r**4.
-4*r**2*(r - 1)*(r + 2)
Let n(c) be the first derivative of -4*c + 1/70*c**5 - 24 - 1/21*c**3 + 3/7*c**2 - 1/14*c**4. Let p(d) be the first derivative of n(d). Factor p(h).
2*(h - 3)*(h - 1)*(h + 1)/7
Let i be (9/(-18))/((-1)/4). Suppose 3*r + 5*p - 84 = 0, -27 = -561*r + 562*r - 2*p. Factor 0*c**i + 0 - 1/3*c**r + 1/3*c.
-c*(c - 1)*(c + 1)/3
Factor 288/5*j**3 - 52/5*j**4 + 1/5*j**5 - 562/5*j**2 + 463/5*j - 138/5.
(j - 46)*(j - 3)*(j - 1)**3/5
Let u = 34 + -32. Suppose -i + 9 = u*i. Factor -24 + 6*a**2 + 2*a**i + 0*a**2 + 16.
2*(a - 1)*(a + 2)**2
Let u(q) = q**3 - 7*q**2 - 2*q + 17. Let g be u(7). Let d = -19 + 21. Factor