*3 - 54*m = 0. Calculate m.
-27, -1, 0
Let f be (2 - 8) + (-5 - -11 - -4). Let s = -162 - -1136/7. Solve 0 + 2/7*v**3 + 0*v + s*v**5 + 0*v**2 + 4/7*v**f = 0 for v.
-1, 0
Let n(v) be the first derivative of 49*v**3/6 + 119*v**2/2 + 32*v - 572. Determine l, given that n(l) = 0.
-32/7, -2/7
Let i = 10 - 6. Factor -5*t**2 + 1764 + 3*t**2 - 168*t + i*t**2 + 2*t**2.
4*(t - 21)**2
Let z be (1/(2/4))/((-748)/102 - -8). Let o(r) be the second derivative of 1/10*r**4 - 4/15*r**z + 30*r + 0 + 1/50*r**5 + 0*r**2. Find m, given that o(m) = 0.
-4, 0, 1
Suppose 2*t = 8*b + 88, 27*b = 5*t + 28*b - 178. Let -4*a**3 - 27 - t*a - 18*a**2 - 1/3*a**4 = 0. Calculate a.
-3
Let f(i) be the first derivative of 155 + 5/4*i**4 + 0*i - 10/3*i**3 + 5/2*i**2. Factor f(j).
5*j*(j - 1)**2
Let j(p) be the third derivative of -p**7/210 - p**4/24 + 123*p**2. Let k(n) = 9*n**4 + 6*n**3 + 9*n**2 + 12*n. Let q(z) = -24*j(z) - 3*k(z). Factor q(v).
-3*v*(v + 1)**2*(v + 4)
Let o = -39 + 46. Let n(c) = c**2 - 2*c + 1. Let r be n(o). Factor -3*s**4 + 33*s**3 + 0*s**4 + 24 + 3*s**5 - r*s - 6*s**4 - 6*s**2 - 9*s**4.
3*(s - 2)**3*(s - 1)*(s + 1)
Solve -89/2*t + 1/2*t**3 - 7*t**2 - 57 = 0 for t.
-3, -2, 19
Let b(r) = -r**3 - 7*r**2 - 7*r - 3. Let o = -7 - -1. Let d be b(o). Find u, given that -d*u**3 - 4*u**2 + 3 + 2*u**3 - 3*u**3 + 1 + 4*u = 0.
-1, 1
Let d(f) be the first derivative of -1/16*f**4 + 3/4*f + 7 + 1/12*f**3 + 5/8*f**2. Find v such that d(v) = 0.
-1, 3
Let v(o) = -o**3 - 102*o**2 - 295*o + 201. Let m be v(-99). What is k in -m*k - 1/4*k**2 - 5 = 0?
-10, -2
What is b in 15*b**5 - 84*b**4 - 9*b**2 + 22*b**4 + 50*b**4 + 21*b**3 - 8*b + 49*b**4 = 0?
-1, 0, 8/15
Let z be (-33)/(-18) + 1/(-3). Let d = 2723905 + -2723900. Factor 0*s**2 + 3/4*s**d + 0 + 0*s**3 + z*s**4 + 0*s.
3*s**4*(s + 2)/4
Let r(n) = n**2 + 8*n + 9. Let j be r(-9). Suppose 48 = 3*u - j. Factor 7*c**3 - 5*c**4 - u*c**3 + 12*c**2 - 57*c**2 - 15*c**3.
-5*c**2*(c + 3)**2
Let u(d) = -2*d**2 - 37*d + 35. Let m be u(-16). Suppose -98*w = -m*w + 68. Factor 2/7*v**5 + 2/7*v**2 + 6/7*v**3 + 0*v + 0 + 6/7*v**w.
2*v**2*(v + 1)**3/7
Let b(s) be the second derivative of s**4/42 + s**3/3 - 30*s**2/7 + 1580*s. Factor b(r).
2*(r - 3)*(r + 10)/7
Let z(w) be the first derivative of 4*w**5/5 + 40*w**4 + 988*w**3/3 + 1080*w**2 + 1584*w - 11408. Solve z(n) = 0 for n.
-33, -3, -2
Let j = -533 + 547. Suppose -j*k = -32*k. Find a, given that -24/7*a**2 - 12/7*a - 15/7*a**3 + k - 3/7*a**4 = 0.
-2, -1, 0
Let q(d) be the second derivative of -d**6/30 - d**5/10 + 13*d**4/3 - 47*d**3/3 + 45*d**2/2 + 505*d. Let q(c) = 0. Calculate c.
-9, 1, 5
Let q(z) be the first derivative of -2*z**3/15 + 197*z**2/5 - 215. Find s, given that q(s) = 0.
0, 197
Let l(j) be the first derivative of j**5/25 + 43*j**4/20 + 481*j**3/15 + 357*j**2/10 - 882*j/5 + 1956. Suppose l(f) = 0. Calculate f.
-21, -2, 1
Let k = 91/615 + 38/205. Let l(p) be the first derivative of 1/4*p**2 - 1/2*p + 3 + k*p**3. What is z in l(z) = 0?
-1, 1/2
Solve -6/13*w + 4/13 + 2/13*w**3 + 0*w**2 = 0 for w.
-2, 1
Let h be ((-3956)/(-4816))/((-2)/16) - -7. Let p(b) be the first derivative of -10/21*b**3 - h*b**2 - 31 - 1/14*b**4 + 18/7*b. Determine x, given that p(x) = 0.
-3, 1
Let f = -173 - -199. What is l in -l**2 + 1 + 56*l - 29*l - f*l - l**3 = 0?
-1, 1
Let j(y) be the first derivative of 19*y**5 - 85*y**4/2 - 325*y**3/3 - 30*y**2 - 1077. Suppose j(r) = 0. What is r?
-1, -4/19, 0, 3
Let f(w) = w**2 - 484*w + 11528. Let p(x) = -5*x**2 + 1935*x - 46110. Let d(n) = -15*f(n) - 4*p(n). Factor d(t).
5*(t - 48)**2
What is d in 1/7 - 316/7*d - 49612/7*d**3 + 25278/7*d**2 + 24649/7*d**4 = 0?
1/157, 1
Suppose 4*c + 4*u - 28 = 0, 2*u = 4*c - 12 + 8. Determine j so that -1142*j + 3*j**4 + 16*j**3 + 1110*j - c*j**4 - 2*j**5 = 0.
-2, 0, 2
Let a(s) be the second derivative of 1/9*s**3 + 1/9*s**4 - 1/3*s**2 + 0 - 39*s. Determine l, given that a(l) = 0.
-1, 1/2
Let o = -318687/32480 - -117/928. Let b = 79/7 + o. Factor b - 4/5*h**3 + 0*h**2 + 12/5*h.
-4*(h - 2)*(h + 1)**2/5
Let r(z) be the first derivative of z**4/66 + 16*z**3/11 + 576*z**2/11 - 31*z + 3. Let t(o) be the first derivative of r(o). Factor t(c).
2*(c + 24)**2/11
Suppose -33407 = -6*a + 240217. Solve 95 + 45599*f**3 - 18*f**2 + 103*f**2 + 185*f - a*f**3 = 0.
-1, 19
Let c(g) be the second derivative of g**4/16 + 15*g**3/4 - 93*g**2/8 - 107*g - 30. Factor c(b).
3*(b - 1)*(b + 31)/4
Factor 1/3*a**2 - 136 + 202/3*a.
(a - 2)*(a + 204)/3
Let c(l) be the second derivative of -1/15*l**4 + 4/15*l**3 + 14 + 2/75*l**6 - 2/25*l**5 + 0*l**2 + 4*l. Find i, given that c(i) = 0.
-1, 0, 1, 2
Let j be 2*(24/(-27) + 2 + 15/(-45)). Factor 22/9*z + 2/9*z**3 - 10/9 - j*z**2.
2*(z - 5)*(z - 1)**2/9
Let q(u) be the second derivative of 7*u**6/6 + 227*u**5/8 - 6595*u**4/24 + 2285*u**3/3 - 525*u**2 - 7780*u. Let q(p) = 0. What is p?
-21, 2/7, 2, 5/2
Suppose -113 = 3*w - 5*l - 40, -5*w = -2*l + 90. Let p be (1*2)/(w/(-256)). Factor 7*h**2 - 24 + p*h - 68*h - 3*h**3 - 25*h**2.
-3*(h + 2)**3
Let m(v) be the third derivative of -v**6/840 - 17*v**5/420 + v**4/2 - 11*v**2 + 82*v. Determine p so that m(p) = 0.
-21, 0, 4
Let h(j) = -j**2 + j - 1. Let a(i) = -12*i**2 - 548*i + 553. Let y(k) = 18*k**2 + 822*k - 830. Let r(c) = -7*a(c) - 5*y(c). Let q(w) = h(w) - r(w). Factor q(u).
5*(u - 1)*(u + 56)
Let k = 696 - 641. Suppose 0 = k*o - 104 - 61. Find g such that 2/5*g**o + 0 + 0*g - 4/5*g**2 = 0.
0, 2
Suppose -4*l + 56 = 16. Let p be (-1)/(-2)*l + (-12 - -11). Find u such that -3 - 4*u**3 + 6*u**2 - 18*u**2 + 4*u + 3 + p + 8*u**4 = 0.
-1, -1/2, 1
Determine h so that 129*h + 1083/4*h**5 + 1677/2*h**2 + 6339/4*h**3 + 6 + 1140*h**4 = 0.
-2, -1, -2/19
Let i = 471 - -231. Suppose 4*v - i = -686. Factor -9/5*q**2 + 3/5*q**3 - 3/5*q + 6/5 + 3/5*q**v.
3*(q - 1)**2*(q + 1)*(q + 2)/5
Let p(j) be the second derivative of -12*j**4 - 4*j**3 - 19 - 3*j - 1/2*j**2. Factor p(b).
-(12*b + 1)**2
Let b(n) = -11*n**2 + 365*n - 66. Let i be b(33). Factor i + 6/11*a**2 - 12/11*a.
6*a*(a - 2)/11
Determine c, given that 94*c**2 - 2*c**4 + 32272*c**3 + 32270*c**3 - 64498*c**3 + 48*c = 0.
-1, 0, 24
Let i be (-56004)/4667 + 316/22 + 0. Factor -58/11*g - i*g**2 + 2/11*g**3 - 30/11.
2*(g - 15)*(g + 1)**2/11
Let g = -142725664/2559 + 55774. Let y = 23041/12795 - g. Solve -3/5*b**3 - y*b + 3*b**2 - 27/5 = 0 for b.
-1, 3
Let t be 12225/26080 + 2/64. What is v in t + 5/8*v + 1/8*v**2 = 0?
-4, -1
Let t(x) be the first derivative of 32/7*x - 38 + 1/28*x**4 + 10/21*x**3 + 16/7*x**2. Solve t(o) = 0 for o.
-4, -2
Let o(a) be the first derivative of 12/7*a + 5/7*a**2 - 15 - 2/21*a**3. Suppose o(s) = 0. What is s?
-1, 6
Let x(t) be the second derivative of 5*t + 6/5*t**2 - 169/100*t**5 + 76/15*t**3 + 15 + 91/12*t**4. Find z, given that x(z) = 0.
-2/13, 3
Suppose 0 = y - 10*w - 14, 56 = 10*y - 6*y + 3*w. Let l(i) be the first derivative of y + 1/12*i**3 + 1/16*i**4 + 0*i + 0*i**2. Factor l(z).
z**2*(z + 1)/4
Let f(s) be the second derivative of -21*s + 4/15*s**5 - 2 - 7/9*s**4 - 4/9*s**3 + 0*s**2. Factor f(y).
4*y*(y - 2)*(4*y + 1)/3
Let h(o) be the first derivative of -o**6/45 + 26*o**5/75 + 3*o**4/2 + 94*o**3/45 + 16*o**2/15 + 185. Factor h(r).
-2*r*(r - 16)*(r + 1)**3/15
Let d(l) = 72*l - 358. Let w be d(5). Let f(c) be the third derivative of -11/96*c**4 + 0*c - 13/240*c**5 + 12*c**w + 1/12*c**3 + 0. Factor f(s).
-(s + 1)*(13*s - 2)/4
Let r(h) = 3*h**3 - 267*h**2 - 258*h + 2. Let q(i) = -3*i**3 + 273*i**2 + 258*i - 3. Let f(d) = 2*q(d) + 3*r(d). Find p, given that f(p) = 0.
-1, 0, 86
Let o be 9/(-5) - -2 - (-54)/30. Let 28*t**3 + 38*t - 67*t + 14 + 2*t**2 + o*t**5 - 16*t**4 - t**5 = 0. What is t?
-1, 1, 14
Let v(c) be the second derivative of 0 - 171/10*c**5 - 39*c**4 + 7/3*c**6 - 75*c + 24*c**2 - 4/3*c**3. Let v(m) = 0. Calculate m.
-1, -2/5, 2/7, 6
Suppose -k + 26*c - 30 = 23*c, -k - 10 = 2*c. Let u be 162/(-405)*20/k. Suppose 0 + 16/9*x**4 - 16/9*x**2 + 8/9*x**3 - 4/3*x + u*x**5 = 0. What is x?
-3, -1, 0, 1
Let t(v) be the second derivative of -v**6/30 - v**5/2 + 13*v**4/4 - 2*v**3/3 - 26*v**2 + 3*v + 332. Factor t(h).
-(h - 2)**2*(h + 1)*(h + 13)
Let w(t) be the second derivative of t**7/28 + 3*t**6/5 + 129*t**5/40 + 3*t**4 - 20*t**3 - 2*t - 669. Suppose w(h) = 0. What is h?
-5, -4, 0, 1
Let c = -1377/4 - -