j(q).
4*q*(2*q + 1)
Suppose -55 - 12 + 264*k - 11 + 100*k**2 + 159 + 27 + 8*k**3 = 0. What is k?
-9, -3, -1/2
Let -63/5*w**2 - 24/5*w - 6/5*w**3 + 21/5*w**4 + 12/5 = 0. Calculate w.
-1, 2/7, 2
Let q be (-5 - (-4 + -1))/1. Let j(c) = 3*c**2 - 8*c + 10. Let r be j(1). Let q + 1/5*n**r + 3/5*n**3 + 1/5*n**2 + 3/5*n**4 + 0*n = 0. What is n?
-1, 0
Let m(c) be the first derivative of 2 + 7/4*c**4 + 8*c + 3/5*c**5 - 6*c**2 - 2*c**3. What is p in m(p) = 0?
-2, 2/3, 1
Let j(w) be the first derivative of -w**6/160 + 3*w**5/40 - 5*w**4/32 - 27*w**2/2 + 3. Let f(x) be the second derivative of j(x). Suppose f(c) = 0. Calculate c.
0, 1, 5
Let x(s) be the first derivative of -2*s**5/25 - 18*s**4/5 - 316*s**3/15 - 84*s**2/5 + 558*s/5 - 226. Solve x(h) = 0.
-31, -3, 1
Let s be (-21)/(-99) - 8/(-6). Let q = -1/22 + s. Determine n so that 0*n**2 - 3/2*n + 0 + q*n**3 = 0.
-1, 0, 1
Let b(c) = 5*c**4 + 9*c**3 - 19*c**2 + 9*c - 1. Let z(w) = -8*w**4 - 17*w**3 + 36*w**2 - 19*w + 3. Let j(k) = 10*b(k) + 6*z(k). Suppose j(q) = 0. What is q?
1, 2
Let s(z) = 1. Let m(w) = -30*w**2 + 25*w + 7. Suppose 0 = 25*c - 29*c + 8. Let f(h) = c*s(h) - m(h). Find o, given that f(o) = 0.
-1/6, 1
Let c(i) be the first derivative of i**6/1620 - i**5/135 + i**4/36 + i**3 - 8. Let r(j) be the third derivative of c(j). Factor r(h).
2*(h - 3)*(h - 1)/9
Let o(f) be the first derivative of -7/2*f**4 + f**2 + 0*f - 47 - 3/2*f**3. Factor o(a).
-a*(4*a - 1)*(7*a + 4)/2
Let y = -14 + 19. Suppose -5*c + 22 = -0*c + 3*o, 2*c + 16 = y*o. Factor -3*n**2 + c*n - n + n.
-n*(3*n - 2)
Let q(b) = -b**3 + 2*b**2 - b - 3. Suppose 0 = 3*u + u + 12. Let l(h) = -1. Let o(a) = -2*a - 9. Let j be o(-5). Let p(r) = j*q(r) + u*l(r). Factor p(y).
-y*(y - 1)**2
Suppose -2*q - 2*p = 0, -q - 8*p = -4*p + 6. Determine m so that 3 - 5/2*m - 1/2*m**q = 0.
-6, 1
Factor -11*q - 2069*q**3 + 2054*q**3 + 2*q - 21*q**2 - 3*q**4.
-3*q*(q + 1)**2*(q + 3)
Let t(c) be the first derivative of 0*c + 1/9*c**2 + 0*c**4 - 4/45*c**5 - 1/27*c**6 + 4/27*c**3 + 43. Let t(l) = 0. Calculate l.
-1, 0, 1
Let s(r) be the first derivative of 2*r**3/3 - 25*r**2 - 52*r - 356. Solve s(z) = 0 for z.
-1, 26
Factor 34056*q - 20186*q - 336*q**2 - 4*q**3 - 20926*q.
-4*q*(q + 42)**2
Let h(d) be the first derivative of 1/60*d**6 - 6 + 1/5*d**4 - 3/25*d**5 - 2*d**2 + 0*d + 8/15*d**3. Let a(o) be the second derivative of h(o). Factor a(v).
2*(v - 2)**2*(5*v + 2)/5
Let n(t) be the second derivative of 1/105*t**6 + 1/147*t**7 + 0*t**4 + 0*t**5 + 0*t**2 + 4*t + 0 + 0*t**3. Find d such that n(d) = 0.
-1, 0
Let p be (-16)/88 - (-68)/11. Determine c so that -p*c - 7*c**4 - 4*c**4 + 8*c**2 - 4*c**2 + 4*c**3 + 2*c**5 + 5*c**4 + 2 = 0.
-1, 1
Factor -2*w**2 - 3*w**2 - 8*w**2 + 11*w**2.
-2*w**2
Suppose 0 = 6*k - 2*k. Let v(q) = q**2 + 4. Let t be v(k). Factor 12*l**3 + 9*l**2 + 0*l - 2*l + 5*l**t + l + 3*l.
l*(l + 1)**2*(5*l + 2)
Let f(g) be the first derivative of -1/4*g**4 - 2*g + 3/2*g**2 + 0*g**3 + 17. Solve f(n) = 0 for n.
-2, 1
Factor 29/5*q + 4/5*q**2 + 7/5.
(q + 7)*(4*q + 1)/5
Factor -5*f**3 - 33*f**2 - 8*f**3 - 30*f + 10*f**3.
-3*f*(f + 1)*(f + 10)
Let n be (-42)/6*(5 - 3 - 119/49). Solve 2/5*p**2 - 3/5*p**n - p**4 + 0*p + 0 = 0 for p.
-1, 0, 2/5
Let w(i) = -32*i**2 - 474*i + 18716. Let h(u) = -23*u**2 - 316*u + 12477. Let a(z) = -7*h(z) + 5*w(z). Solve a(o) = 0 for o.
79
Let c(o) be the second derivative of -o**4/24 - o**3/12 + 3*o**2/2 - 8*o. Solve c(w) = 0.
-3, 2
Let w(a) be the second derivative of 5/2*a**5 + 0*a**2 - 35/12*a**4 + 0 + 5/6*a**3 - 12*a. Factor w(m).
5*m*(2*m - 1)*(5*m - 1)
Let i(c) = -3*c + 47. Let g be i(14). Determine h, given that -129*h**5 + 9*h**3 + g*h - 17*h + 30*h**4 - 36*h**2 + 138*h**5 = 0.
-2, -1/3, 0, 1
Let n(p) be the third derivative of 0*p - 29*p**2 + 5/3*p**3 - 5/112*p**8 + 1/21*p**7 - 1/3*p**5 + 0 - 5/8*p**4 + 1/4*p**6. Find l such that n(l) = 0.
-1, 2/3, 1
Let y(d) be the first derivative of -7*d**6/18 + 74*d**5/15 - 53*d**4/3 + 70*d**3/9 + 25*d**2/2 + 83. Suppose y(s) = 0. What is s?
-3/7, 0, 1, 5
Let x be (-11)/(-66)*0 + (1 - 1). Let w(y) be the second derivative of -2/3*y**2 + x - 1/18*y**4 + 7*y + 1/3*y**3. Suppose w(u) = 0. What is u?
1, 2
Let w(l) = -4*l**2 + 16*l - 12. Let a(t) = 2*t**2 - 18*t + 12. Let s(m) = -m**2 - m. Let r(p) = 2*a(p) - 4*s(p). Let b(i) = -3*r(i) - 7*w(i). Factor b(n).
4*(n - 3)*(n - 1)
Let z be 6937/1155 + -12 - (-4 - 2). Let t(a) be the third derivative of 1/660*a**6 + 0 - z*a**5 + 5*a**2 + 0*a + 1/132*a**4 + 0*a**3. What is c in t(c) = 0?
0, 1
Let g be -1 + (0 - -3*(-2 + 3)). Factor -5*d**3 - d**g + 11*d - d + 2*d**2 - 6*d**2.
-5*d*(d - 1)*(d + 2)
Factor -228*r - 33*r**2 - 199*r**2 + 3 - 3 + 4.
-4*(r + 1)*(58*r - 1)
Let j(n) = 19*n + 686. Let v be j(-36). Find o such that 0 - 1/7*o - 2/7*o**3 - 3/7*o**v = 0.
-1, -1/2, 0
Let i(c) be the second derivative of -c**6/180 - c**5/60 - c**3/2 + 9*c. Let r(f) be the second derivative of i(f). Factor r(t).
-2*t*(t + 1)
Let i(r) be the second derivative of -r**4/90 + r**3/9 - 4*r**2/15 + 47*r - 1. Find d, given that i(d) = 0.
1, 4
Let h = -16758 + 117307/7. Factor -2/7 + h*w - 1/7*w**4 + 3/7*w**2 - 1/7*w**3.
-(w - 1)**2*(w + 1)*(w + 2)/7
Let k(z) = 2*z**4 + 20*z**3 + 10*z**2 - 82*z + 60. Let j(y) = 2*y**4 + 20*y**3 + 11*y**2 - 81*y + 63. Let q(c) = -4*j(c) + 6*k(c). Suppose q(s) = 0. What is s?
-9, -3, 1
Suppose 2*s - 8*s = -108. Let x be s/15*65/273. Factor 0*d - x*d**4 + 0*d**2 - 2/7*d**5 + 4/7*d**3 + 0.
-2*d**3*(d - 1)*(d + 2)/7
Let b(u) be the second derivative of u**7/105 + 11*u**6/75 + 43*u**5/50 + 73*u**4/30 + 56*u**3/15 + 16*u**2/5 + 59*u + 1. Factor b(i).
2*(i + 1)**3*(i + 4)**2/5
Let f(b) = 3*b**2 - 33*b - 33. Let s(z) be the second derivative of -z**4/12 + 8*z**3/3 + 8*z**2 - 15*z. Let j(h) = 4*f(h) + 9*s(h). Factor j(q).
3*(q + 2)**2
Let u = 53 - 51. Let d(c) be the third derivative of 0*c - 8/27*c**3 + 0*c**5 - 2/27*c**4 + 1/1890*c**7 + u*c**2 + 1/270*c**6 + 0. Factor d(g).
(g - 2)*(g + 2)**3/9
Let y(p) be the third derivative of -p**5/570 + 11*p**4/228 + 4*p**3/19 + 112*p**2. Factor y(i).
-2*(i - 12)*(i + 1)/19
Let l be (20/6 - 2)*213/710. Factor -8/5*c**2 - 6/5*c**3 - l*c + 0.
-2*c*(c + 1)*(3*c + 1)/5
Let p = 19/85 + 3/17. Let k be 3/10*(-30)/(-45). Factor 1/5*d**2 - p - k*d.
(d - 2)*(d + 1)/5
Let p(t) be the second derivative of -1/18*t**4 + 0*t**2 + 1/30*t**5 - 2*t + 0 + 0*t**3. Factor p(g).
2*g**2*(g - 1)/3
Let i(v) be the first derivative of 16 + 3/4*v**4 + 0*v + 0*v**2 - v**3. Determine l so that i(l) = 0.
0, 1
Let m(l) be the second derivative of -3*l + 0 - 1/10*l**6 + 0*l**3 + 1/2*l**4 - 3/2*l**2 + 0*l**5. Factor m(w).
-3*(w - 1)**2*(w + 1)**2
Let g(p) be the third derivative of -p**7/1155 + p**5/330 + 5*p**2 - 31*p. Factor g(d).
-2*d**2*(d - 1)*(d + 1)/11
Let x(i) be the third derivative of i**6/840 - 223*i**5/420 + 4181*i**4/56 - 4107*i**3/14 - 11*i**2 - 1. Factor x(g).
(g - 111)**2*(g - 1)/7
Suppose 2*c + 106 = z, -565 = -5*z - 2*c - 35. Factor 53*n - z*n**2 - 300 + 7*n + 103*n**2.
-3*(n - 10)**2
Let v(o) be the second derivative of 25*o**7/63 - 169*o**6/36 - 1499*o**5/120 - 259*o**4/36 + 19*o**3/9 + 10*o**2/3 + 663*o. Solve v(j) = 0.
-1, -2/5, 1/4, 10
Suppose 8*x + 4 = 10*x. Factor 0 + 8/13*v - 2/13*v**x.
-2*v*(v - 4)/13
Let z(l) be the second derivative of l**7/1680 + l**6/160 + l**4/4 - 8*l. Let i(v) be the third derivative of z(v). Factor i(g).
3*g*(g + 3)/2
Let o(h) be the first derivative of 2/3*h + 2/3*h**3 - 23 - h**2 - 1/6*h**4. Factor o(u).
-2*(u - 1)**3/3
Let q be (1*-12)/((-9)/2) - (-52)/(-78). Find p, given that -24/7 + 3*p**q - 78/7*p = 0.
-2/7, 4
Suppose 4*h - 196 - 220 = 0. Let r = h - -71. Suppose -155*v**3 - 120*v**4 - 6*v + r*v**5 + 120*v**2 + 4*v - 18*v = 0. What is v?
-1, 0, 2/7, 2/5, 1
Let b(t) be the third derivative of t**7/1050 - t**6/600 - t**5/150 - 82*t**2. Determine c so that b(c) = 0.
-1, 0, 2
Let m be (74 + -77)/(-5 - 0). Solve 3/5*q**3 - m*q + 9/5*q**2 - 3/5*q**4 - 6/5 = 0.
-1, 1, 2
Let w(b) be the second derivative of -b**5/140 - b**4/14 - 5*b**3/42 + 6*b**2/7 - 69*b. What is i in w(i) = 0?
-4, -3, 1
Suppose -123 = 49*q - 221. Let v(c) be the first derivative of -6/5*c**5 + 8/3*c + 8 + q*c**4 - 4*c**2 + 10/9*c**3. Let v(p) = 0. What is p?
-1, 2/3, 1
Let r(q) be the second derivative of -3*q