ctor -7/3*t + w*t**4 + 2 + t**3 - t**2.
(t - 1)**2*(t + 2)*(t + 3)/3
Suppose -338*z = -78*z - 289*z + 58. Determine h, given that 2646 - 2562*h - 250/3*h**z - 2/3*h**3 = 0.
-63, 1
Let a(f) be the first derivative of f**5/30 + f**4/12 - f**3/9 - f**2/2 + 46*f + 44. Let q(u) be the first derivative of a(u). Determine n so that q(n) = 0.
-3/2, -1, 1
Let h be 7104/144 + -40 - (9/3 - -5). What is b in -h*b**3 + 0 + 2/9*b**4 + 20/9*b + 2/3*b**2 = 0?
-1, 0, 2, 5
Solve 162/5*q**2 - 2/5*q**3 - 672*q + 640 = 0.
1, 40
Let l(k) = 2*k**3 + 32*k**2 - 28*k + 42. Let m(b) = 2*b**3 + 31*b**2 - 33*b + 40. Let t(r) = -5*l(r) + 6*m(r). Factor t(j).
2*(j - 1)**2*(j + 15)
Suppose 4*x + 2*m - 140 = 0, 2*m = -3*x - m + 102. Let s = -31 + x. Factor -2*a + a**2 + 3*a + a + 2 - s.
(a - 1)*(a + 3)
Let p be (-32)/12*3/108*-27. Factor p*r**2 - 7/4*r - 1/4*r**3 + 0.
-r*(r - 7)*(r - 1)/4
Factor -c**2 - 609*c - 6148 - 28444 - 18769 + 147*c.
-(c + 231)**2
Suppose 0 = 2570*j - 2566*j + 12. Let p be 33/44*(-1)/j*8. Let 1/2*s + 1/4*s**p - 3/4 = 0. Calculate s.
-3, 1
Let q(w) = -7*w**4 + 11*w**3 + 4*w**2 - 8*w + 6. Let m(o) = 13*o**4 - 20*o**3 - 8*o**2 + 14*o - 11. Let g(u) = -6*m(u) - 11*q(u). Factor g(s).
-s*(s - 2)*(s + 1)*(s + 2)
Let q(g) be the second derivative of 0*g**4 + 11/150*g**5 - 1/315*g**7 + 0*g**2 + 0*g**3 - 2/45*g**6 + 44 + g. Factor q(i).
-2*i**3*(i - 1)*(i + 11)/15
Let m(l) = -25 + l**2 + 8*l - 16 + 59. Let g be m(-5). Determine a, given that 2/7*a - 2/7*a**g + 2/7*a**2 + 0 - 2/7*a**4 = 0.
-1, 0, 1
Let k be (752/20)/((-10)/(-25)). What is z in -120 + 45*z**2 + 45*z**2 - k*z**2 - 68*z = 0?
-15, -2
Suppose 26450/11*b**2 + 2/11 + 460/11*b = 0. Calculate b.
-1/115
Suppose x - 9 = -i - 1, 4*i - x - 7 = 0. Let b be ((-60)/8)/(i/(-6)). What is n in -5*n**5 + 7*n**3 - b*n**3 + 13*n**3 = 0?
-1, 0, 1
Let l = 6739/56 + -33583/280. Factor 26/5*f**2 + l - 24/5*f**3 + 8/5*f**4 - 12/5*f.
2*(f - 1)**2*(2*f - 1)**2/5
Let v(f) be the second derivative of f**5/25 - f**4/15 - 68*f**3/15 - 112*f**2/5 - 21*f + 28. Factor v(c).
4*(c - 7)*(c + 2)*(c + 4)/5
Let y be ((-2)/40)/(670/(-8375)). Let q(t) be the third derivative of 0*t + 1/12*t**5 + 0 + y*t**4 - 5*t**2 + 0*t**3. Factor q(k).
5*k*(k + 3)
Suppose 77*b - 571 - 79 = -111. Let m(l) be the second derivative of 0*l**4 + 0*l**2 - 5*l + 0*l**3 - 1/60*l**5 + 1/126*l**b + 0 + 0*l**6. Factor m(d).
d**3*(d - 1)*(d + 1)/3
Suppose -13*i = -60*i. Suppose -5*f = -g + 15, -4*g + i*f - 4*f - 12 = 0. Solve -2/9 - 4/9*d**3 + g*d**2 + 2/9*d**4 + 4/9*d = 0 for d.
-1, 1
Let p(w) be the first derivative of -1/5*w**3 + 1/20*w**4 + 3/25*w**5 - 72 + 1/30*w**6 + 0*w - 1/5*w**2. Factor p(v).
v*(v - 1)*(v + 1)**2*(v + 2)/5
Let k be (-15)/(-21)*((-4 - -10) + 1). Find j such that -17*j + 4*j**3 + 8*j**2 - 12*j + k*j - 12*j**2 = 0.
-2, 0, 3
Let n(p) be the first derivative of p**3/3 + 415*p**2/2 + 414*p + 2321. Factor n(b).
(b + 1)*(b + 414)
Let s(n) be the first derivative of n**4/12 - 527*n**3/9 + 1051*n**2/6 - 175*n + 2498. Factor s(r).
(r - 525)*(r - 1)**2/3
Let s = -12889 + 12921. Let d(k) be the first derivative of s + 0*k + 0*k**2 + 1/12*k**4 + 0*k**3. Let d(r) = 0. Calculate r.
0
Let q(x) = -69*x**3 + 142*x**2 - 25*x. Let t(s) = 70*s**3 - 140*s**2 + 30*s. Let a(g) = -5*q(g) - 6*t(g). Factor a(k).
-5*k*(k - 1)*(15*k - 11)
Let 134*s**3 - 46*s**3 + 158*s**2 - 152 - s**4 - 5*s**4 - 146*s + 58*s**3 = 0. Calculate s.
-1, 1, 76/3
Let l(j) = -300*j - 51898. Let x be l(-173). Solve -48/7 - 10/7*v**x + 124/7*v = 0.
2/5, 12
Let f(z) = z**3 - 13*z**2 + 15*z - 15. Let t be f(13). Suppose -t = 21*c - 24*c. Factor -c*d - 3*d**3 + 60*d.
-3*d**3
Factor -115*t**3 - 1157*t + 15*t**4 + 2275*t - 1188*t + 165*t**2 + 5*t**5.
5*t*(t - 2)*(t - 1)**2*(t + 7)
Let d = 146 - 144. Factor 54 - 2*n**4 - 39*n**3 + 19*n**d - 55*n**2 - 21*n**3 + 76*n**3.
-2*(n - 3)**3*(n + 1)
Let q(m) be the third derivative of m**8/784 + 9*m**7/245 - m**6/280 - 9*m**5/70 - m**2 - 637. Find c, given that q(c) = 0.
-18, -1, 0, 1
Let i(l) be the third derivative of -l**6/255 - 491*l**5/510 - 7625*l**4/102 - 3721*l**3/17 + 3*l**2 + 8. Factor i(j).
-2*(j + 61)**2*(4*j + 3)/17
Let j(f) be the third derivative of f**6/48 - f**5 + 115*f**4/48 + 96*f**2 - 2. Factor j(x).
5*x*(x - 23)*(x - 1)/2
Let w(n) be the second derivative of 22*n + 0 + 1/6*n**3 + 0*n**2. Let z(s) = s**2 - 7*s + 3. Let v(o) = 3*w(o) + z(o). Factor v(p).
(p - 3)*(p - 1)
Let v(r) be the first derivative of 17/6*r**3 + 1/4*r**2 + 112 - 1/8*r**4 - 17/2*r. Factor v(a).
-(a - 17)*(a - 1)*(a + 1)/2
Determine p so that 171/4 + 12*p**3 + 690*p**2 + 1371/4*p = 0.
-57, -1/4
Let j(c) be the third derivative of -c**8/5040 + c**7/420 - c**6/90 - 4*c**5/15 + c**4/12 + 4*c**2 + c. Let q(r) be the third derivative of j(r). Factor q(i).
-4*(i - 2)*(i - 1)
Factor -10*a**2 + 29/3*a + 1/3*a**3 + 0.
a*(a - 29)*(a - 1)/3
Suppose 2*k - 1 = -d - 0, -5*d = 5*k - 15. Let r(y) = 3*y**3 - 4*y**2 - 4*y - 7. Let i be r(d). Determine q so that -245*q**2 - 36 + i*q**2 + 54*q + 279 = 0.
-9
Factor -1/6*b**2 - 15/2*b - 82/3.
-(b + 4)*(b + 41)/6
Let a(x) be the third derivative of x**7/70 + x**6/2 - 11*x**5/10 - 5*x**4/2 + 21*x**3/2 - 8*x**2 + 85*x. Suppose a(j) = 0. Calculate j.
-21, -1, 1
Let v(c) be the second derivative of -c**6/30 - 11*c**5/20 - 5*c**4/3 + 16*c**3/3 + 928*c. Suppose v(z) = 0. Calculate z.
-8, -4, 0, 1
Suppose -17*x - 1288 = -1356. Let o(g) be the third derivative of -7*g**2 + 3/32*g**x + 1/80*g**5 + 0 + 0*g**3 + 0*g. What is s in o(s) = 0?
-3, 0
Let v(k) = 3*k**4 + 20*k**3 + 14*k**2 - 27*k - 80. Let w(s) = s**4 + 7*s**3 + 5*s**2 - 9*s - 24. Let n(r) = 4*v(r) - 14*w(r). Factor n(h).
-2*(h - 1)*(h + 1)**2*(h + 8)
Let j(w) be the first derivative of 5*w**3/4 - 15785*w**2/8 - 5265*w/2 - 11274. Factor j(o).
5*(o - 1053)*(3*o + 2)/4
Let g be -21 - (-18854)/924 - 120/(-84). Factor 45*x + g*x**2 + 1215/2.
5*(x + 27)**2/6
Let z = -89 + 93. Factor 28*r**3 - 19*r**4 - 4*r**z - 8*r**2 + 22*r**5 - 9*r**4 - 10*r**5.
4*r**2*(r - 1)**2*(3*r - 2)
Let t(k) = k**5 - k**3 - 24*k**2 - 15. Let i(h) = -2*h**5 + 2*h**4 + h**3 + 48*h**2 + 35. Let y(j) = -3*i(j) - 7*t(j). Let y(s) = 0. What is s?
-6, -2, 0, 2
Let p(b) be the third derivative of b**6/240 + 9*b**5/10 - 187*b**4/16 + 113*b**3/3 - 2*b**2 + 550. Factor p(k).
(k - 4)*(k - 1)*(k + 113)/2
Let k(h) = 13*h**2 - 3*h - 111. Let y be k(17). Determine f so that -5518 - 3*f**2 - y - 294*f + 1910 = 0.
-49
What is x in 0 + 33/5*x**3 - 15*x**2 + 39/5*x + 3/5*x**4 = 0?
-13, 0, 1
Let t = -26953 - -26953. Let p(n) be the third derivative of 0*n**3 - 1/40*n**6 + 0 + 21*n**2 + 0*n + 0*n**7 + 0*n**5 + 1/112*n**8 + t*n**4. Factor p(i).
3*i**3*(i - 1)*(i + 1)
Suppose -8*q - 5*n = -6*q - 53, -5*n = -5*q + 45. Factor 10*f**2 + 13*f**2 + 8*f**2 - 33*f**2 - q*f.
-2*f*(f + 7)
Let r(v) be the second derivative of -v**4/84 + 31*v**3/21 - v - 132. Factor r(t).
-t*(t - 62)/7
Let p(l) = 57*l**3 - 1767*l**2 + 784*l - 101. Let z(j) = -28*j**3 + 884*j**2 - 386*j + 50. Let q(g) = 4*p(g) + 7*z(g). Factor q(y).
2*(y - 27)*(4*y - 1)**2
Let i = 328708/3 - 109564. Let 8/9 + 70/9*n**2 + 8/3*n**3 + i*n = 0. Calculate n.
-2, -2/3, -1/4
Let u(m) be the first derivative of -m**6/45 - m**5/10 - m**4/9 - 12*m - 3. Let i(s) be the first derivative of u(s). Factor i(w).
-2*w**2*(w + 1)*(w + 2)/3
Let s(d) = 2*d**3 + d**2 + 738*d + 1490. Let k be s(-2). Factor 8*f**4 + 0 - 9261/8*f - 1/8*f**5 - 693/4*f**3 + 1323*f**k.
-f*(f - 21)**3*(f - 1)/8
Let j(k) = 10*k**5 + 18*k**4 + 80*k**3 - 11*k**2 - 40*k - 167. Let a(y) = -y**5 - y**4 - y**3 + 12*y**2 + 1. Let q(x) = -44*a(x) - 4*j(x). Solve q(d) = 0.
-3, -2, 1, 13
Let x(a) = a**2 + 2*a - 3. Let l(g) = -2*g**2 + 25*g + 67. Let k(b) = 2*l(b) + 6*x(b). Determine m so that k(m) = 0.
-29, -2
Let m(k) be the first derivative of 5*k**4/8 - 215*k**3/6 - 1425*k**2/4 - 2205*k/2 - 983. Let m(p) = 0. What is p?
-3, 49
Suppose 30*d = 167 - 205 + 128. Let k(p) be the second derivative of -4*p**2 + 0 - 1/3*p**4 + 33*p + 2*p**d. Factor k(i).
-4*(i - 2)*(i - 1)
Let y = -1446 + 1454. Let g(v) be the second derivative of -1/42*v**4 + y + v - 16/21*v**3 - 64/7*v**2. What is f in g(f) = 0?
-8
Suppose -5*w + 4*w + 5*h + 44 = 0, -5*w = -5*h - 180. Suppose 17 = 3*c - 4*v + 4, -2*c + 2*v + 8 = 0. What is b in -117*b + 40*b + 28*b + c*b**2 + 12 