0*j**6 + 6*j**2 - 1 - 1/630*j**7 - 1/18*j**4 + 0*j. Determine z so that c(z) = 0.
-1, 1, 3
Let v(z) be the second derivative of z**5/240 - z**4/96 - z**3/4 - 66*z**2 + 12*z + 5. Let a(y) be the first derivative of v(y). Factor a(d).
(d - 3)*(d + 2)/4
Suppose 3*b + 3/4*b**4 - 13/4*b**3 + 2*b**2 + 0 = 0. Calculate b.
-2/3, 0, 2, 3
Let j(o) be the first derivative of o**6/1620 - 16*o**3 + 52. Let m(l) be the third derivative of j(l). Factor m(n).
2*n**2/9
Let y = 1890 - 936. Let s = 954 - y. Factor s - 2/3*z + z**2.
z*(3*z - 2)/3
Let p(b) be the first derivative of 7/2*b**6 - 24*b**2 + 112 + 174/5*b**5 + 27/4*b**4 + 0*b - 58*b**3. Find t, given that p(t) = 0.
-8, -1, -2/7, 0, 1
Let f(a) be the first derivative of 11 + 1690*a + a**5 - 145/4*a**4 + 415*a**3 - 2795/2*a**2. Factor f(s).
5*(s - 13)**2*(s - 2)*(s - 1)
Suppose 4*k = -3*a + 26, 0 = 5*a + 5*k - 0*k - 35. Let -17591 - 6*b**3 + b**3 + 575*b**a + 2306 - 1535 - 16240*b = 0. Calculate b.
-1, 58
Let c = -5602 + 5604. Let w(r) be the third derivative of -1/570*r**5 + 17*r**c + 0 + 0*r + 0*r**3 + 1/228*r**4. Determine k, given that w(k) = 0.
0, 1
Suppose 0 = -4*w + 575 - 559. Factor -64*y**2 - w + 101*y**3 + 93*y**3 - 164*y**3 + 38*y.
2*(y - 1)**2*(15*y - 2)
Let k(c) be the first derivative of 26/3*c**3 + 25/48*c**4 - 32 + 0*c + 0*c**2 + 1/24*c**5 + 1/720*c**6. Let t(m) be the third derivative of k(m). Factor t(y).
(y + 5)**2/2
Let w(b) be the third derivative of b**7/350 - 27*b**6/100 + 189*b**5/100 + 4301*b**4/10 - 1734*b**3 + 4238*b**2. Let w(o) = 0. Calculate o.
-15, 1, 34
Let q(p) be the third derivative of p**6/780 - 63*p**5/65 + 3969*p**4/13 - 666792*p**3/13 - 731*p**2 + 4*p. Let q(t) = 0. Calculate t.
126
Let o(l) be the third derivative of 0*l**3 + 1/1020*l**6 - 2/1785*l**7 + 0*l**5 - 63 + 0*l**4 + 0*l + l**2 + 1/2856*l**8. Determine s so that o(s) = 0.
0, 1
Let u be (-12)/(-270)*-9 + 0 + 1 - (-714)/910. Suppose 2/13*q**2 + 18/13*q**3 + 0 - u*q - 2/13*q**4 = 0. Calculate q.
-1, 0, 1, 9
Suppose 257*c - 252*c - 2*r = 10, -2*c + 4 = 2*r. Solve 1/7*u**5 + 0*u**c + 1/7*u**4 + 0 + 0*u**3 + 0*u = 0 for u.
-1, 0
Let w be (32/15)/(-4)*97/((-34144)/528). Factor 6/5*r - w - 2/5*r**2.
-2*(r - 2)*(r - 1)/5
Suppose -2155 = -5*w + 5*i, -w + 435 = -79*i + 82*i. Suppose 0 = 4*c - 3*c - 5. Find r, given that 438*r - 4 - w*r + 3*r**2 - c*r**2 = 0.
1, 2
Let o(g) = 8*g**5 - 6*g**4 + 121*g**3 + 9*g. Let r(m) = m**5 - m**4 - m**3 + m. Let z(b) = -4*o(b) + 36*r(b). Factor z(s).
4*s**3*(s - 13)*(s + 10)
Let k be (-15 + -3)*-1*(-7)/(630/(-24)). Let t(j) be the first derivative of k*j - 29 - 2*j**2 + 4/15*j**3. Find g such that t(g) = 0.
2, 3
Let b(h) be the first derivative of -9/8*h**5 + 51/8*h + 99/16*h**2 - 1/4*h**3 - 51/16*h**4 - 26 + 1/16*h**6. Solve b(a) = 0 for a.
-1, 1, 17
Let i(o) be the third derivative of o**8/840 + 4*o**7/105 - 149*o**6/300 + 94*o**5/75 + 37*o**4/15 - 208*o**3/15 + 239*o**2. Let i(n) = 0. What is n?
-26, -1, 1, 2, 4
Solve 16000/9 + 2/9*x**4 + 280*x**2 - 122/9*x**3 - 18400/9*x = 0 for x.
1, 20
Let p(s) = 5*s - 52. Let i be p(11). Factor 0*a**2 + 57*a + 5*a**2 - 49*a + a**3 + i + 1.
(a + 1)*(a + 2)**2
Let v(y) be the first derivative of y**3/12 + 39*y**2/8 + 77*y - 997. Factor v(h).
(h + 11)*(h + 28)/4
Let v = 368547/7 - 52641. Factor 2/7*h**2 - v*h + 450/7.
2*(h - 15)**2/7
Suppose 0 = -2116*g + 2114*g + 6, l = -5*g + 19. Let o(k) be the second derivative of 0 + 7/8*k**2 - 1/48*k**l - 1/4*k**3 - 31*k. Factor o(x).
-(x - 1)*(x + 7)/4
Let k = 19/911 - -873/1822. Factor 6*h + 13/2*h**2 + k*h**4 + 3*h**3 + 2.
(h + 1)**2*(h + 2)**2/2
Let r(w) = w**3 - 24*w**2 - 484*w + 1875. Let l be r(36). Solve -1/7*d**4 + 12/7 - 2/7*d**l + 19/7*d**2 - 4*d = 0.
-6, 1, 2
Let o(g) = -g**3 + 9*g**2 + 29*g - 50. Let i be o(11). Suppose 6*x - 162 = -0*x. Let -3*v + 0*v + x - i + 2*v**2 + v**3 = 0. Calculate v.
-3, 0, 1
Let p = -466 + 487. Suppose 134*v + 11 + 30 + p*v**2 - 21 + 5*v**2 = 0. What is v?
-5, -2/13
Let k(s) be the first derivative of -s**3/24 + 61*s**2/16 - 189*s/4 - 2702. Factor k(j).
-(j - 54)*(j - 7)/8
Suppose -q - 4*l + 4 = -6*q, -2*q = 3*l - 3. Suppose 0 = -q*c + c - 4. Factor -6 + 4*g**2 - 3*g**3 - 3*g**c + 7*g**2 + 8*g - 2*g**2 - 5*g.
-3*(g - 1)**2*(g + 1)*(g + 2)
Suppose -4*d - s = s - 10, 5*d - 8 = -4*s. Determine p, given that -10*p**4 - 18*p**4 + 3449*p**5 - 3454*p**5 - 2*p**d = 0.
-6, 0
Let s be (-1)/(5/(-35)) + -4. Suppose 2*h - 3*i - 171 = 0, -s*h = -2*i + 6*i - 214. Find w, given that -6*w**5 - 20*w**2 + w**5 + h*w**4 - 63*w**4 = 0.
-1, 0, 2
Let v = 44277/188 + 58/47. Let h = v + -236. Find a, given that 1/4*a**3 + h + 1/4*a**2 - 5/4*a = 0.
-3, 1
Let n be (1/(-27))/((-62)/372)*21/28. What is j in 1/2 + 1/3*j - n*j**2 = 0?
-1, 3
Let i(l) = -29*l - 117. Let v be i(-4). Let c be 6/2*(30/18 + v). Let p**3 - 1/2*p**c - 1/4*p**4 + 3/4 - p = 0. What is p?
-1, 1, 3
Suppose 930*u**3 - 6884*u**2 - 219*u**3 + 6724 + 853*u**3 + 1468*u**3 - 1559*u + 160*u**4 - 1475*u + 2*u**5 = 0. Calculate u.
-41, -1, 1, 2
Let d(s) = 19*s**2 - 5420*s + 2440860. Let p(r) = 17*r**2 - 5419*r + 2440854. Let u(j) = -7*d(j) + 8*p(j). Factor u(i).
3*(i - 902)**2
Find p, given that 2/9*p**5 + 17500/9*p + 118/9*p**4 + 0 + 12650/9*p**2 + 242*p**3 = 0.
-25, -7, -2, 0
Let i(p) = 21*p + 7. Let q be i(0). Find y such that 8*y + 8*y**2 + 6*y**2 - y - 12*y**2 + q*y + 20 = 0.
-5, -2
Let u = 74095939/17 + -4357241. Factor -14796/17*h**2 - 3256/17*h - u*h**3 - 1458/17*h**4 - 240/17.
-2*(h + 15)*(9*h + 2)**3/17
Factor 852*v**2 + 2*v - 1735*v**2 - 35 + 884*v**2.
(v - 5)*(v + 7)
Let g(f) = -3*f**4 + f**3 - f**2 - 1. Let x(y) = -22*y**4 + 38*y**3 + 12*y**2 - 120*y - 120. Let a(j) = 8*g(j) - x(j). What is p in a(p) = 0?
-14, -2, -1, 2
Find w such that -138*w + 0 + 111/7*w**2 - 3/7*w**3 = 0.
0, 14, 23
Let z(j) be the third derivative of -j**6/20 + 4*j**5/3 - 175*j**4/12 + 250*j**3/3 + 31*j**2 - 2. Factor z(n).
-2*(n - 5)**2*(3*n - 10)
Let s be (-864)/(-132) - ((-1508)/(-261) + 2/9). What is f in 0*f**2 - 2/11*f**3 + s*f - 4/11 = 0?
-2, 1
Let d(h) = 2*h**2 + h + 3. Let b(r) = -34*r**2 + 69*r + 63. Let f(w) = b(w) - 5*d(w). Let f(n) = 0. What is n?
-6/11, 2
Let t(a) be the second derivative of -2*a**7/63 + 26*a**6/45 + 29*a**5/15 - 485*a**4/9 - 2000*a**3/9 - 1000*a**2/3 + 341*a. Find v such that t(v) = 0.
-5, -1, 10
Solve 52/7*o - 310/7 + 2/7*o**2 = 0 for o.
-31, 5
Let h(p) be the second derivative of p**6/420 - 2*p**5/105 + p**4/21 - 77*p**2/2 + 32*p - 2. Let d(m) be the first derivative of h(m). Factor d(v).
2*v*(v - 2)**2/7
Suppose 9*m**2 - 8*m**2 + 290 - 234 - 439 - 318 + 700*m = 0. What is m?
-701, 1
Let y(r) = 50*r**3 + 214*r**2 + 260*r - 20. Let l(z) = -99*z**3 - 431*z**2 - 519*z + 41. Let g(j) = 4*l(j) + 7*y(j). Factor g(b).
-2*(b + 2)*(b + 3)*(23*b - 2)
Let p(r) = 2*r**3 + 27*r**2 - 17*r - 18. Let g be p(-14). Let 17*q - 31*q + g*q - q**2 = 0. What is q?
0, 10
Let m(h) be the second derivative of h**4/12 - 10*h**3/3 - 22*h**2 + 2*h - 347. Factor m(l).
(l - 22)*(l + 2)
Let f(b) be the second derivative of -b**4/66 - 344*b**3/33 + 345*b**2/11 + 2358*b. Find q, given that f(q) = 0.
-345, 1
Let d = -140 - -156. Suppose d = 2*g + 2*k, 6*k = -2*g + k + 31. Let 0 + 0*p**2 - 6/5*p**g + 0*p - 12/5*p**4 - 6/5*p**5 = 0. What is p?
-1, 0
Let p = 227/21 - 89/21. Let l be (-5 - (-18912)/2800) + (-1)/25. Determine q so that -p*q**2 - 2*q**3 - l*q + 0 = 0.
-3, -2/7, 0
Factor 1782*s + 1537*s + 1104*s + 1937*s + 3*s**2 + 2707500 - 660*s.
3*(s + 950)**2
Suppose -2*j = 7*a - 11*a - 4, -3*a + 3 = 0. Determine y so that 0 + 0 + 8*y**3 + 33*y**4 - 8*y - 15*y**j - 19*y**4 + y**2 = 0.
-1, 0, 1, 8
Factor -135/2*g - 55/4 + 25/4*g**2.
5*(g - 11)*(5*g + 1)/4
Let v = -47 + 92. Let m be (-333)/v + 7 + 22/5. What is s in -4*s**2 - 17*s**4 - 18*s**4 + 50*s**4 - 16*s**m + 5*s**3 = 0?
0, 1, 4
Let o(l) be the second derivative of -2*l**7/105 + l**6/30 + l**5/15 - l**4/6 + 66*l**2 + 124*l. Let x(t) be the first derivative of o(t). Factor x(a).
-4*a*(a - 1)**2*(a + 1)
Suppose 3*x = 3*z, -2*z + 6*z + x - 10 = 0. Determine b so that -153 - 2*b**z + 2*b**3 - 8*b + 161 + 0*b**2 = 0.
-2, 1, 2
Determine t so that -967*t - 4538*t**2 + 7*t**4 + 8706*t**2 + 15488 + 586*t**3 + 6752*t**2 - 42434*t - 13975*t = 0.
-44, 2/7, 4
Let b(i) be the first derivative of 1/10*i**5 + 8 