.
-1, 0, 2
Suppose -5*r + 31 = 1. Suppose r = 3*m - 27. Determine f so that -2*f**5 + 15*f**3 - 2*f**5 - m*f**3 = 0.
-1, 0, 1
Suppose 2*o - 22 = -5*s, 5*o = s + o. Factor -1 - 5*y**4 - 10*y**3 + 6 + 7*y + s*y - y.
-5*(y - 1)*(y + 1)**3
Suppose -3*c + 4 + 44 = 0. Suppose c = 3*p + 2*s, -6*s + 25 = -s. Factor 24/7*t**3 + 4/7*t - 22/7*t**p + 0.
2*t*(3*t - 2)*(4*t - 1)/7
Let q = 32785/4 + -8146. Let g = q + -50. Factor 3/4 + h + g*h**2.
(h + 1)*(h + 3)/4
Let d(p) be the second derivative of -p**7/42 - 2*p**6/15 + 3*p**5/10 + p**4/3 - 5*p**3/6 - 54*p. Suppose d(n) = 0. What is n?
-5, -1, 0, 1
Suppose -3*h = -16 + 1. Suppose -h*b - f = -18, 3*f + 3 = 4*b - 0*b. Let -s - s**2 - 1/3*s**b - 1/3 = 0. Calculate s.
-1
Let q(g) be the third derivative of -g**5/30 - 53*g**4/60 + 22*g**3/15 + 187*g**2. Solve q(z) = 0.
-11, 2/5
Suppose 2*i = 4*g - 6*g - 6, g = -5*i - 27. Suppose -o**2 - o**4 + 0 - 10/3*o**g + 0*o = 0. Calculate o.
-3, -1/3, 0
Let r(t) = -t**2 + 2*t + 1. Let a(d) = 10*d**2 - 15*d - 15. Let h(l) = a(l) + 15*r(l). Find q such that h(q) = 0.
0, 3
Determine g so that -80/13*g**2 - 88/13*g - 14/13*g**3 + 2/13*g**4 + 0 = 0.
-2, 0, 11
Factor 1/3*p**3 + 0 + 5/6*p**2 + 1/3*p.
p*(p + 2)*(2*p + 1)/6
Find q, given that 28/3*q**2 + 0 + 0*q + 2/3*q**4 - 10*q**3 = 0.
0, 1, 14
Let t(b) be the first derivative of -2/7*b + 10/21*b**3 + 1 + 1/7*b**2 + 3/14*b**4. Determine m so that t(m) = 0.
-1, 1/3
Let u(z) be the third derivative of -25*z**8/112 + z**7 - 69*z**6/40 + 7*z**5/5 - z**4/2 - 4*z**2 + 1. Factor u(g).
-3*g*(g - 1)**2*(5*g - 2)**2
Let i(w) be the second derivative of -w**6/270 - w**5/15 + w**4/36 + 17*w**3/27 - 4*w**2/3 + 209*w. Factor i(m).
-(m - 1)**2*(m + 2)*(m + 12)/9
Factor -21/4*k**3 + 121/4*k + 0 - 99/4*k**2 - 1/4*k**4.
-k*(k - 1)*(k + 11)**2/4
Let k = -17 + 19. Suppose 0*h + k*h = -2*y + 10, -h + 3*y = -5. Determine d, given that 40/7*d**h + 0*d + 0 - 4/7*d**3 + 0*d**2 + 6/7*d**4 = 0.
-2/5, 0, 1/4
Factor -24*o - 4*o**5 - 76*o**2 - 84*o**3 - 45*o**4 + 13*o**4 - 4*o**4.
-4*o*(o + 1)**3*(o + 6)
Let v(y) be the third derivative of -y**7/210 - y**6/15 + 11*y**5/60 + 3*y**4/4 - 3*y**2 - 50. Factor v(w).
-w*(w - 2)*(w + 1)*(w + 9)
Let a(z) be the second derivative of -2*z**6/7 + 4*z**5/35 + 4*z**4/21 + 96*z. Factor a(j).
-4*j**2*(3*j - 2)*(5*j + 2)/7
Suppose -3*l + l + v = 27, -4*v - 46 = 3*l. Let c = 16 + l. Factor -c + 4*h**2 + 15*h - 19*h + 0*h**2 - 6*h**2.
-2*(h + 1)**2
Let n(j) = -3*j**2 - 8*j + 5. Let z be n(-3). Factor -4*v**3 - 6 + 8*v**z - 9 - 23 + 14 + 20*v.
-4*(v - 3)*(v - 1)*(v + 2)
Suppose -36 = -2*h - 32. Let g(b) be the third derivative of 0*b**3 + 0*b - 1/20*b**5 - 1/8*b**4 + 5*b**h + 0. Factor g(v).
-3*v*(v + 1)
Let c(i) be the second derivative of -i**6/135 - 7*i**5/90 - i**4/3 - 20*i**3/27 - 8*i**2/9 + 45*i. Solve c(t) = 0.
-2, -1
Let f be -1*((-9)/3)/1. Let h(c) be the first derivative of 5/2*c**4 + 4*c**3 + f + 3*c**2 + c + 3/5*c**5. Factor h(u).
(u + 1)**3*(3*u + 1)
Let n(x) be the first derivative of 1/10*x**2 + 4 - 1/20*x**4 + 1/15*x**3 - 1/5*x. What is c in n(c) = 0?
-1, 1
Factor 2*s - 241*s**2 + 491*s**2 + s**3 - 246*s**2 + s**3.
2*s*(s + 1)**2
Suppose -3*s = -2*s - 5. Let g(c) = 5*c**3 + 4*c**2 - 23*c + 6. Let o(z) = -3*z**3 - 3*z**2 + 15*z - 4. Let r(n) = s*g(n) + 8*o(n). Solve r(b) = 0 for b.
1, 2
Let r(m) be the first derivative of m**6/72 - m**5/24 - 5*m**4/4 + 11*m**3/3 + 2. Let h(i) be the third derivative of r(i). Factor h(b).
5*(b - 3)*(b + 2)
Let o(v) = 2*v**3 + 27*v**2 - 10*v + 56. Let f be o(-14). Determine w so that f - 24/5*w**2 - 16/5*w + 4/5*w**3 + 6/5*w**4 = 0.
-2, -2/3, 0, 2
Suppose -16/21*b + 2/3*b**3 - 8/21 - 2/21*b**2 + 10/21*b**4 + 2/21*b**5 = 0. Calculate b.
-2, -1, 1
Suppose -12*i + 12 = -8*i. Let z(a) be the first derivative of 0*a**4 + 1/20*a**5 + 0*a + 0*a**2 - 3 - 1/12*a**i. Factor z(s).
s**2*(s - 1)*(s + 1)/4
Let z be (-3 + (-18)/(-3))*1. Let j(p) be the third derivative of 0 + 1/120*p**5 + 0*p**z + 0*p - 1/24*p**4 - 5*p**2. Solve j(b) = 0.
0, 2
Let b(f) be the second derivative of -f**7/14 - 7*f**6/90 + 11*f**5/60 + 7*f**4/36 - f**3/9 + 110*f. Find h, given that b(h) = 0.
-1, 0, 2/9, 1
Let p = 308/4845 + 1/323. Let c(s) be the second derivative of -p*s**3 + 2/5*s**2 - 1/30*s**4 - 6*s + 0. Factor c(q).
-2*(q - 1)*(q + 2)/5
Let a(b) be the third derivative of b**6/120 - b**5/40 + 5*b**3/6 + 17*b**2. Let i(j) be the first derivative of a(j). Solve i(t) = 0.
0, 1
Let v(t) be the first derivative of t**3/9 - 12*t**2 + 432*t + 163. Factor v(b).
(b - 36)**2/3
Factor 1/11*u**3 + 10/11*u**2 - u + 0.
u*(u - 1)*(u + 11)/11
Let u(g) be the first derivative of -8*g**3/69 - 21*g**2/23 - 10*g/23 + 38. Factor u(o).
-2*(o + 5)*(4*o + 1)/23
Let n(v) be the second derivative of v**6/10 - 9*v**5/20 - v**4/4 + 3*v**3/2 - 26*v. Factor n(c).
3*c*(c - 3)*(c - 1)*(c + 1)
Let u(s) be the second derivative of -s**7/294 + s**6/30 + 3*s**5/140 - 55*s**4/84 - 25*s**3/21 + 3*s + 128. Let u(a) = 0. What is a?
-2, -1, 0, 5
Let m(f) be the second derivative of -1/2*f**3 + 0 - 1/20*f**5 - 1/4*f**4 - 18*f - 1/2*f**2. Let m(r) = 0. What is r?
-1
Let d(n) be the second derivative of n**7/21 + n**6/15 - 9*n**5/10 + 11*n**4/6 - 4*n**3/3 + 169*n + 2. Factor d(s).
2*s*(s - 1)**3*(s + 4)
Let w(j) be the third derivative of -j**5/30 - 5*j**4/12 - 2*j**3 - 92*j**2. What is s in w(s) = 0?
-3, -2
Let g = 85 + -81. Let f(n) = -n + 6. Let y be f(g). Determine h, given that 2/5*h**y + 2/5 - 4/5*h = 0.
1
Let l(p) = -2*p - 23. Let t be 1*(-3 + -8 + 1) + -3. Let z be l(t). Find m such that -7/3*m**z - 1/3*m**5 - 1/3*m**2 + 5/3*m**4 + 8/3*m - 4/3 = 0.
-1, 1, 2
Let a(j) be the third derivative of j**8/84 - 4*j**7/21 + j**6 - 8*j**5/3 + 25*j**4/6 - 4*j**3 - j**2 - 17*j. Suppose a(d) = 0. What is d?
1, 6
Let w(v) be the first derivative of -1/3*v**2 + v - 8 - 1/9*v**3. Factor w(m).
-(m - 1)*(m + 3)/3
Determine v so that -15/2 - 24*v - 3/2*v**4 - 27*v**2 - 12*v**3 = 0.
-5, -1
Factor -1/4*v**3 - 507/4*v + 2197/4 + 39/4*v**2.
-(v - 13)**3/4
Factor -h**2 + 77 - 101 - 111*h - 90 + 4*h**2.
3*(h - 38)*(h + 1)
Let h = 20843/8 - 2605. Solve -7/8*l**4 - 5/8*l + 1/8 + 3/4*l**2 + h*l**5 + 1/4*l**3 = 0.
-1, 1/3, 1
Let n(c) = c**2 - 6*c + 2. Let s be n(6). Suppose s*u = 32 - 8. Factor -3*d**3 + d + 3*d**4 + u*d**3 + 9*d**2 + 2*d.
3*d*(d + 1)**3
Let o(f) = -8*f - 27. Let q be o(-8). Factor 20*a**2 + 4*a - q*a**2 + 18*a**2 + 3 + 0.
(a + 1)*(a + 3)
Let w = -52 - -59. Factor 0*b**3 - 8*b**3 + w*b**2 + 13*b**3 - 17*b**2.
5*b**2*(b - 2)
Let f(t) = 4*t**2 + t. Let n be f(-1). What is r in -2*r**2 - n*r**4 - 2*r**2 + 4*r**2 - 6*r**3 = 0?
-2, 0
Let z = -1637 - -1640. Factor 0*i + 14/3*i**z + 0 + 4/3*i**2.
2*i**2*(7*i + 2)/3
Solve 54*y + 9417*y**3 - 117*y**2 - 9330*y**3 + 4*y**5 - 27*y**4 - y**5 = 0 for y.
0, 1, 2, 3
Let n(a) be the second derivative of a**7/1050 - a**6/600 - a**5/300 + a**4/120 + 7*a**2 - 5*a. Let x(l) be the first derivative of n(l). Solve x(c) = 0 for c.
-1, 0, 1
Let i(m) be the second derivative of -m**7/147 - m**6/105 + 3*m**5/70 + 5*m**4/42 + 2*m**3/21 + 29*m. Find r such that i(r) = 0.
-1, 0, 2
Let h = 731/5 - 5097/35. Factor 18/7*s - 2*s**2 - h.
-2*(s - 1)*(7*s - 2)/7
Suppose 0 = -5*i - 21*i + 52. Let w(n) be the first derivative of -9 - n**4 + 0*n**3 - 2/5*n**5 + 2*n**i + 2*n. Solve w(j) = 0.
-1, 1
Factor -3*m - 2*m**2 + 74 + 23*m - 5*m + 57*m.
-2*(m - 37)*(m + 1)
Let k = -153/12305 + 2/535. Let c = k - -122/805. What is d in 1/7*d**3 + c*d**5 - 2/7*d**4 + 0 + 0*d + 0*d**2 = 0?
0, 1
Let t(w) be the third derivative of -w**7/105 + w**6/30 + w**5/30 - w**4/6 + 18*w**2 - 2. Determine v so that t(v) = 0.
-1, 0, 1, 2
Suppose 4*r - r + 5 = 4*w, 0 = -2*w - 4*r + 8. Let g(j) be the first derivative of -1/2*j**4 + 0*j**2 - w + 2/3*j**3 + 0*j. Factor g(l).
-2*l**2*(l - 1)
Factor 1/2*n**3 - 23/2*n**2 + 60*n + 72.
(n - 12)**2*(n + 1)/2
Let b(z) be the first derivative of -8*z**3/3 - 18*z**2 + 20*z + 86. What is t in b(t) = 0?
-5, 1/2
Suppose w + 4 = 3*v, -5*w + 0*v + 2*v = -6. What is t in 7*t**2 + 8*t**3 + t**2 - 4*t**4 + 4 - 8*t - 8*t**w = 0?
-1, 1
Suppose 0 = -146*h + 100*h + 92. Suppose -1/2*b**4 + 0 + 0*b**h - b**3 + 1/2*b**5 + 0*b = 0. What is b?
-1, 0, 2
Let i be 525/168 + 1/(-8). Suppose v = 1 + 2. Suppose z**i + 3*z**2 + z**v - 6*z + z**3 = 0. Cal