 14*v - 15*v + 8 = 0. Let s be ((-10)/8)/(-5)*v/1. Factor 1/6*m**s + 0*m - 2/3.
(m - 2)*(m + 2)/6
Let w(p) be the third derivative of 0*p + 0*p**4 + 0*p**3 - 1/150*p**5 + 14*p**2 - 1/525*p**7 + 1/150*p**6 + 0. Let w(y) = 0. What is y?
0, 1
Let f(d) = -5*d + 6*d - 2*d + 10 - 1. Let i be f(6). Determine o, given that 3*o + i*o - 5*o - 4*o**4 - 3*o**2 + o**2 - 7*o**3 = 0.
-1, 0, 1/4
Let -1/2*i**4 + 0*i**3 + 0*i - 9/2 + 5*i**2 = 0. Calculate i.
-3, -1, 1, 3
Let g(o) = -o. Let y(a) = 5*a**2 + 205*a + 1620. Let s(f) = -25*g(f) - y(f). Factor s(x).
-5*(x + 18)**2
Let m(r) be the second derivative of -r**5/130 + r**4/13 + 5*r**3/13 + 8*r**2/13 + r - 2. Factor m(v).
-2*(v - 8)*(v + 1)**2/13
Determine s so that s - 5*s - 4 - 6*s + 2*s + s**2 + 5*s = 0.
-1, 4
Let i(n) be the first derivative of -5/14*n**4 + 29 - 12/7*n - 16/21*n**3 + 19/7*n**2. Factor i(r).
-2*(r - 1)*(r + 3)*(5*r - 2)/7
Let d(y) be the second derivative of 0*y**2 + 0*y**4 + 2/5*y**6 - 2/5*y**5 - 2/21*y**7 - 29*y + 0*y**3 + 0. Find b, given that d(b) = 0.
0, 1, 2
Let q(r) = r**2 + 5*r + 4. Let c be q(-5). Factor -96*a + 4*a**c - 12*a**3 + 64 - 14*a**2 + 18*a**2 + 18*a**3 + 18*a**3.
4*(a - 1)**2*(a + 4)**2
Suppose 2*d = d + 3, -4*d = g - 73. Factor m**3 - 61*m**2 + g*m**2 - 3*m**3.
-2*m**3
Let u be 146/456*(-2 + -5 + 9). Let w = -9/19 + u. Suppose -1/6*t**4 + w*t**2 - 1/6*t**5 + 0 + 0*t + 1/6*t**3 = 0. Calculate t.
-1, 0, 1
Let m be (-6)/(-39) + (0 - 17/(-10)). Let c = -17/10 + m. Let -4/13*v + 6/13 - c*v**2 = 0. Calculate v.
-3, 1
Let n(g) be the first derivative of 2*g**6/3 - 12*g**5/5 - 6*g**4 + 32*g**3/3 - 300. Factor n(s).
4*s**2*(s - 4)*(s - 1)*(s + 2)
Suppose 26*c - 39 - 39 = 0. Let m(h) be the second derivative of -1/35*h**5 + 2/21*h**c - 2/21*h**4 + 4/7*h**2 + 5*h + 0. Factor m(b).
-4*(b - 1)*(b + 1)*(b + 2)/7
Let v(s) = -s**3 + 71*s**2 - 73*s + 212. Let g be v(70). Factor -5*h + 5/2 + 5/2*h**g.
5*(h - 1)**2/2
Let g(b) = -b**2 + 10*b - 42. Let n be g(6). Let a be 21/10 - n/(-30). Factor a*d**3 - 9/2*d - 3*d**2 + 0.
3*d*(d - 3)*(d + 1)/2
Let n be ((-15)/420)/((3/1)/(-24)). Factor 2/7*v**3 + 0 + 2/7*v**2 - n*v**4 - 2/7*v**5 + 0*v.
-2*v**2*(v - 1)*(v + 1)**2/7
Let g(o) be the first derivative of 2*o**6/3 + 3*o**5/5 - 7*o**4/2 - o**3 + 5*o**2 - 531. Determine j, given that g(j) = 0.
-2, -1, 0, 1, 5/4
Factor 0*q**3 + 0 + 4/3*q + 2*q**2 - 2/3*q**4.
-2*q*(q - 2)*(q + 1)**2/3
Suppose -13 = -2*n + 5*m, -4*n = -2*m + 1 - 19. Suppose -26/15*w - 58/15*w**3 - 4/3*w**4 - n*w**2 - 4/15 = 0. Calculate w.
-1, -1/2, -2/5
Factor -5/4 + 1/8*r**5 - 5/4*r**4 + 37/8*r + 17/4*r**3 - 13/2*r**2.
(r - 5)*(r - 2)*(r - 1)**3/8
Let d(c) = -7*c**2 - c + 1. Let r(f) = -76*f**2 + 46*f + 11. Let a(m) = -44*d(m) + 4*r(m). Determine b so that a(b) = 0.
-57, 0
Let l(b) be the first derivative of -b**7/840 + b**6/120 - b**5/40 + b**4/24 - 10*b**3/3 - 14. Let k(f) be the third derivative of l(f). Factor k(i).
-(i - 1)**3
Suppose 0 = -2*t + 2*s - 6, 0*t + 4*s - 12 = -3*t. Find v such that -7*v**2 + 5*v**2 - v + 3*v + t*v**2 = 0.
0, 1
Solve -70*b**2 - 2 + 71*b**2 + 16 + 9*b = 0 for b.
-7, -2
Let g(b) = -27*b + 4. Let r be g(0). Solve 22/21*a - 2*a**2 - 10/21*a**r + 34/21*a**3 - 4/21 = 0 for a.
2/5, 1
Let n(m) = m**2 + 13*m + 30. Let q be n(-10). Suppose -6*v + 4 = -14. Find x such that -1/2*x + x**2 + 1/2*x**5 + q + 0*x**v - x**4 = 0.
-1, 0, 1
Let j(v) be the third derivative of -v**7/1050 + v**6/75 - 3*v**5/50 + 2*v**4/15 - v**3/6 + 10*v**2 - 2. Factor j(n).
-(n - 5)*(n - 1)**3/5
Suppose 0 = 5*j - 7 - 8. Let w(a) = a**3 - 2*a**2 - a - 3. Let x be w(j). Factor -7*s**x + 5*s**3 + 3*s**5 - s**5.
2*s**3*(s - 1)*(s + 1)
Factor -740*h + 23*h**3 - 25*h**3 - 2*h**3 + 368 + 88*h**2 + 288*h**2.
-4*(h - 92)*(h - 1)**2
Determine v so that -1688 + 5*v**5 + 248 - 7*v**4 + 49*v**4 - 370*v**2 + 705*v**3 + 34*v**4 + 44*v**4 - 2400*v = 0.
-12, -1, 2
Let y(f) be the first derivative of 2*f**3 + 12*f**2 + 0*f - 3/4*f**4 + 26. Solve y(b) = 0.
-2, 0, 4
Let p(y) be the third derivative of 16/15*y**4 + 8/15*y**3 - 41*y**2 + 0 - 27/50*y**6 + 0*y + 3/5*y**5. Determine s, given that p(s) = 0.
-2/9, 1
Suppose 27/4*j + 1/4*j**2 + 25/2 = 0. What is j?
-25, -2
Let i be (27/(-72))/(12/14). Let v = i - -67/80. Suppose 0 + v*y**4 - 4/5*y**3 + 2/5*y**2 + 0*y = 0. What is y?
0, 1
Suppose -y + 12 = 102. Let u = -87 - y. Find m such that 0 + 0*m**2 + 2/7*m**u - 2/7*m = 0.
-1, 0, 1
Let j(m) be the first derivative of 5*m**4/4 + 25*m**3/3 - 5*m**2/2 - 25*m - 56. Factor j(q).
5*(q - 1)*(q + 1)*(q + 5)
Suppose -144*f = -136*f. Factor -1/3*y**4 + 2/3*y**2 + f*y + 0 + 1/3*y**3.
-y**2*(y - 2)*(y + 1)/3
Let w = 27825 + -27823. Find q such that 3/5*q + 0 - 1/5*q**w = 0.
0, 3
Let v(t) = 9*t**3 + 33*t**2 + 45*t + 15. Let u(i) = i**3 + i**2 - 1. Let d(p) = 6*u(p) - v(p). Let d(s) = 0. Calculate s.
-7, -1
Let s be 52/117 + 58/72. Let c(n) be the first derivative of 3/8*n**4 + s*n**2 + 1/2*n + 3 + 7/6*n**3. Factor c(f).
(f + 1)**2*(3*f + 1)/2
Suppose 0 = -3*z - 4*h + 2 - 8, 0 = -4*z - 5*h - 7. Suppose 5*y**3 + 3*y + 21*y**2 - 15*y**2 - z*y**3 = 0. What is y?
-1, 0
Suppose 4*k - 26 = -o, 2*o - 8 = -2*k + 4*o. Suppose -3*i + k = -3. Find w such that -24/5*w - 2/5*w**i - 16/5 - 12/5*w**2 = 0.
-2
Let t(y) be the second derivative of -y**8/168 - y**7/105 + y**6/60 + y**5/30 - 3*y**2/2 - 4*y. Let a(k) be the first derivative of t(k). Factor a(n).
-2*n**2*(n - 1)*(n + 1)**2
What is l in -5/4*l**3 - 35/4*l**2 - 55/4*l - 25/4 = 0?
-5, -1
Suppose 5*r = 3*x + 32, 7*r - 36 = 3*r + 5*x. Let n be (-3 - -2)/((-2)/12). What is o in -o**4 + 0*o - r*o - 13 - n*o**2 + 12 - 4*o**3 = 0?
-1
Let g(a) be the second derivative of -a**4/3 - 22*a**3/9 + 8*a**2/3 - 43*a - 10. Factor g(d).
-4*(d + 4)*(3*d - 1)/3
Let u(a) be the second derivative of a**4/48 + a**3/24 - 3*a + 19. Find c such that u(c) = 0.
-1, 0
Determine t, given that 30 + 5*t + 91*t**2 - 31*t**2 - 65*t**2 = 0.
-2, 3
Let o(j) = -j**3 + 0*j**2 + 23*j**2 + 11*j - 8 - 14*j**2. Let l be o(10). Suppose 3/2*n**4 + 9/2*n - 9/2*n**3 - 3 + 3/2*n**l = 0. Calculate n.
-1, 1, 2
Let y(p) be the third derivative of -1/24*p**4 + 0*p**3 - 1/15*p**5 + 1/20*p**6 + 2/105*p**7 - 5/336*p**8 + 8*p**2 + 0 + 0*p. Find q, given that y(q) = 0.
-1, -1/5, 0, 1
Let t(i) be the first derivative of -6/7*i**2 + 22 + 12/7*i**3 + 0*i - 1/14*i**6 - 39/28*i**4 + 18/35*i**5. Factor t(r).
-3*r*(r - 2)**2*(r - 1)**2/7
Let h(u) = 10*u**2 + 334*u - 76. Let l(f) = 2*f**2 + f. Let w(a) = -h(a) - 4*l(a). Factor w(q).
-2*(q + 19)*(9*q - 2)
Factor -100 - 1 - 33 + 43 + i**2 + 90*i.
(i - 1)*(i + 91)
Suppose -n - 6 = -f, 3*f - 15 = -4*n - 18. Factor -2*x**f - 8/3*x**2 + 4/3 + 2/3*x.
-2*(x + 1)**2*(3*x - 2)/3
Suppose t = s + 17 - 94, -5*t - 399 = 2*s. Let j = -79 - t. Factor 0 + j*w + 4/5*w**2 + 0*w**3 - 4/5*w**4.
-4*w**2*(w - 1)*(w + 1)/5
Suppose 3*b + 59 + 1 = 2*s, -3*b = -3*s + 60. Let t = -10 - b. What is i in -2 + 2*i**2 - t*i + 10*i = 0?
-1, 1
Let d(f) = -f**2 + f - 1. Let p(t) = -20*t**2 + 95*t + 220. Suppose 0 = -i - 38 + 13. Let q(k) = i*d(k) + p(k). Suppose q(b) = 0. What is b?
-7
Let i(p) be the second derivative of -p**4/6 - 14*p**3/3 - 49*p**2 + p - 6. Factor i(b).
-2*(b + 7)**2
Let d(p) be the first derivative of p**7/1260 + p**6/180 + p**5/90 + 34*p**3/3 + 52. Let x(f) be the third derivative of d(f). Suppose x(w) = 0. What is w?
-2, -1, 0
Let k(x) be the first derivative of x**5/240 - 7*x**4/96 + 4*x**2 - 14. Let y(p) be the second derivative of k(p). Factor y(b).
b*(b - 7)/4
Let j(g) be the first derivative of g**5/105 + g**4/21 + 21*g**2/2 + 17. Let r(c) be the second derivative of j(c). Solve r(f) = 0 for f.
-2, 0
Let d(n) be the third derivative of 0*n**3 + 0 + 3*n**2 - 1/350*n**7 + 0*n**4 + 1/100*n**5 + 0*n**6 + 0*n. Factor d(a).
-3*a**2*(a - 1)*(a + 1)/5
Solve 2/3*u**2 + 2/9*u**3 - 2/9*u - 2/3 = 0.
-3, -1, 1
Suppose 5*c = 5*s - 20, 2*s - 5*c = -4*c + 6. Let d be (-6)/(-4)*s - 6/(-3). Factor 0 + 1/5*q**2 + 0*q - 1/5*q**4 - 1/5*q**3 + 1/5*q**d.
q**2*(q - 1)**2*(q + 1)/5
Let h(d) be the second derivative of -4*d**7/7 + 59*d**6/30 + 13*d**5/4 - 65*d**4/12 - 41*d**3/6 + 3*d**2 - 168*d + 1. Solve h(x) = 0.
-1, -2/3, 1/8, 1, 3
Let r(v) = -13*v**2 - 13*v - 7. Let o(p) = -p**2 - p + 2. Let f(l) = 2*l**2 + 2*l - 1. Let x(q) = -5*f(q) - 4*o(q). Let m(h) = 3*r(h) - 7