 - 15*q - 5*q**i + 6.
-5*(q + 1)*(q + 2)
Let i(s) be the first derivative of 4/5*s**5 + 0*s**2 + 1/3*s**3 + 1/4*s**6 + 0*s + 7/8*s**4 + 2. Suppose i(q) = 0. Calculate q.
-1, -2/3, 0
Factor 5*x**3 - 1/2*x**4 - 16*x**2 + 16*x + 0.
-x*(x - 4)**2*(x - 2)/2
Let f(s) = -17*s**2 + 1220*s - 74428. Let u(x) = 20*x**2 - 1220*x + 74430. Let l(t) = -5*f(t) - 4*u(t). Solve l(w) = 0 for w.
122
Let m(b) = b**3 - 3*b**2 - 40*b + 4. Let z be m(8). Factor 6/5*j**5 + 2/5*j**3 + 0 + 2/5*j**2 + 0*j - 2*j**z.
2*j**2*(j - 1)**2*(3*j + 1)/5
Suppose 12*p - 16/3 + 4/3*p**3 - 8*p**2 = 0. What is p?
1, 4
Let x(k) = -5*k**4 - 18*k**3 - 3*k**2 + 23*k + 3. Let l(m) = -2*m**2 + 1 - 2 - m + 5*m**3 + 3*m**2 - 4*m**3. Let b(q) = -3*l(q) - x(q). Factor b(i).
5*i*(i - 1)*(i + 2)**2
Suppose 0 = -3*a + 3*o + 6, 5*a - a - o = 11. Let t(i) = 7*i**3 + i**2 - i - 7. Let l(j) = j**3 - j**2 + j - 1. Let s(m) = a*l(m) - t(m). Factor s(w).
-4*(w - 1)*(w + 1)**2
Let d(r) = 2*r**3 - 8*r**2 - 9*r - 3. Let h be d(5). Suppose 0*s = 4*s. Determine v, given that -h*v + 13*v**4 + s*v + v - 3*v**3 + 3*v**2 - 12*v**4 = 0.
0, 1
Let i be 0 - 17/663*-36. Factor 14/13*c - 2/13*c**3 + 0 - i*c**2.
-2*c*(c - 1)*(c + 7)/13
Suppose -12*c**2 + c**4 - 10*c**3 - 2*c**2 + 39*c**2 = 0. What is c?
0, 5
Let g(c) be the third derivative of 0*c + 1/135*c**5 + 1/108*c**4 - 2/945*c**7 + 0*c**3 + 0*c**6 - 4*c**2 - 1/1512*c**8 + 0. Find x, given that g(x) = 0.
-1, 0, 1
Let w(q) = -325*q - 648. Let f be w(-2). Suppose -2/9*d**f + 16/9*d + 2 = 0. Calculate d.
-1, 9
Let f(g) be the third derivative of 5*g**8/504 - 13*g**7/315 + g**6/45 + 2*g**5/45 - 42*g**2 + 3. Suppose f(s) = 0. Calculate s.
-2/5, 0, 1, 2
Suppose -3*o - 3 = -4*o. Let w(b) = 3*b**2 - 7*b + 8. Let u be w(o). Solve 6*n**2 - u*n**3 + 48/7*n + 8/7 = 0.
-2/7, 1
Determine f so that -f + 20/7*f**4 + 3/7*f**2 + 31/7*f**3 + 1/7 = 0.
-1, 1/5, 1/4
Find m, given that 0 + 1/2*m**2 - 1/6*m**3 - 1/2*m**4 - 1/6*m**5 + 1/3*m = 0.
-2, -1, 0, 1
Let v(t) = -t**3 + 57*t**2 - 84*t + 43. Let m(h) = 5*h**2 - h + 1. Let k(f) = -3*m(f) + v(f). Find j, given that k(j) = 0.
1, 40
Solve -27 + 92*p - 4*p**3 + 36*p**2 + 4*p**2 + 75 = 0.
-1, 12
Let f(s) be the first derivative of 2*s**6 - 34*s**5/5 - 9*s**4/2 + 34*s**3/3 + 3*s**2 + 299. Find o, given that f(o) = 0.
-1, -1/6, 0, 1, 3
Suppose -3*m - 64 = -5*q, -2*q = -5*m + 6*m + 14. Let x(j) = -4*j - 67. Let o be x(m). Factor 12/7*w**4 + 12/7*w**2 - 18/7*w**3 - 3/7*w + 0 - 3/7*w**o.
-3*w*(w - 1)**4/7
Let h(f) be the third derivative of 1/12*f**4 + 1/40*f**5 + 0 + 5/6*f**3 + 1/360*f**6 + 0*f - 4*f**2. Let u(z) be the first derivative of h(z). Solve u(l) = 0.
-2, -1
Let z(y) be the third derivative of -y**8/48 - 4*y**7/21 - 3*y**6/5 - 8*y**5/15 + 2*y**4/3 - 8*y**2. What is f in z(f) = 0?
-2, 0, 2/7
Let p(c) = c**3 - 7*c**2 - 9*c + 12. Let f be p(8). Let -2*n**3 - n**4 + 3*n**5 + 7*n**3 - 5*n**f - 2*n**3 = 0. What is n?
0, 1
Let m(l) be the second derivative of 3*l**5/160 - l**4/32 - 9*l**3/16 + 27*l**2/16 - 85*l. Factor m(g).
3*(g - 3)*(g - 1)*(g + 3)/8
Suppose -4*s**2 + 8202 - 140*s - 8202 = 0. Calculate s.
-35, 0
Let t = -31 + 29. Let d be 4*(-2)/(-8) - t. Factor 1/6*o**4 - 1/6*o + 0 + 1/6*o**d - 1/6*o**2.
o*(o - 1)*(o + 1)**2/6
Let m(j) = 503 - 5*j - 485 - 6*j**2 + 5*j**2. Let f be m(-7). Let 1/3*n**f - n**2 + 0 + 2/3*n**3 + 0*n = 0. Calculate n.
-3, 0, 1
Let p = -71 - 127. Let b = -196 - p. Factor -10*m - b*m**2 - 2/15*m**3 - 50/3.
-2*(m + 5)**3/15
Let l(p) be the first derivative of -4*p**3/3 + 324*p**2 - 26244*p + 217. Factor l(y).
-4*(y - 81)**2
Let t(m) = -3*m + 21. Let y be t(7). Let l be y + -2 - (-3 - -1). What is w in l + 1/3*w**4 + 1/3*w**2 - 2/3*w**3 + 0*w = 0?
0, 1
Let a be (-10)/35 + 65/7. Let f = a + 1. Factor -f*b - 3*b**3 + 0*b + 7*b**3 - 8 - 2*b.
4*(b - 2)*(b + 1)**2
Determine h, given that -20*h**5 + 20*h**2 + 2551*h**3 - 5280*h**3 + 2635*h**3 + 118*h**4 = 0.
0, 2/5, 1/2, 5
Let x(o) be the first derivative of -5*o**3/3 + 105*o**2/2 - 100*o + 12. Let x(w) = 0. What is w?
1, 20
Let t(z) be the first derivative of 27 + 1/2*z**2 - 1/3*z**3 + 0*z. Find a such that t(a) = 0.
0, 1
Let v(i) = -3*i**2 - 64*i - 363. Let t = 128 - 113. Let h(y) = 21*y**2 + 447*y + 2541. Let r(j) = t*v(j) + 2*h(j). Factor r(a).
-3*(a + 11)**2
Let g(r) be the second derivative of r**6/10 + 9*r**5/10 - 4*r**4 - 2*r + 30. Solve g(l) = 0 for l.
-8, 0, 2
Let l = 868 + -866. Determine c so that 4/3*c**l - 2/3*c - 2/3 = 0.
-1/2, 1
Suppose 0 = 2*f + 4*u, 5*f - u - 3*u = 70. Let i = f - 8. Suppose -h**2 - 3*h**i + h + 2*h**2 = 0. What is h?
0, 1/2
Determine l, given that 6464*l**2 - 27*l**3 + 67 - l**4 - 17 - 6513*l**2 + 27*l = 0.
-25, -2, -1, 1
Factor 0 + 2/17*t**4 + 10/17*t**2 + 12/17*t**3 + 0*t.
2*t**2*(t + 1)*(t + 5)/17
Find q such that 5/2*q - 1/4*q**2 + 11/4 = 0.
-1, 11
Let j(u) = -3*u**2 + 5*u + 22. Let q be j(-2). Solve 0*y**2 + 4/13*y**3 - 22/13*y**4 + q*y + 18/13*y**5 + 0 = 0 for y.
0, 2/9, 1
Factor -625 - 75/2*h**2 + 5/2*h**4 + 35/2*h**3 - 875/2*h.
5*(h - 5)*(h + 2)*(h + 5)**2/2
Let i = 282 + -128. Let g = -152 + i. What is v in -2/11*v**g + 4/11*v + 6/11 = 0?
-1, 3
Factor 5/6*q + 11/6*q**3 - 1/6*q**4 + 25/3 - 11/2*q**2.
-(q - 5)**2*(q - 2)*(q + 1)/6
Let y(f) be the second derivative of -f**7/630 - f**6/360 + 21*f**2/2 - 14*f. Let p(r) be the first derivative of y(r). Factor p(k).
-k**3*(k + 1)/3
Let o = 20 - 0. Let l = 29 - o. Solve -6 - 8*s**2 + 2 + 5*s**2 - l*s - 2 = 0.
-2, -1
Suppose 2*p + 4*m + 2 = 2*m, 4*p + 3*m = 0. Solve -116*c**2 - 6*c**p + 3*c + 116*c**2 + 3*c**5 = 0 for c.
-1, 0, 1
Factor 29*h**2 - 21*h - 27*h**2 - 25*h - 8 - 40.
2*(h - 24)*(h + 1)
Let a = -64 - -75. Factor 3*n**3 + 7*n**2 + 10*n - 3*n**2 - 28*n**3 + a*n**2.
-5*n*(n - 1)*(5*n + 2)
Factor 5*p**2 + 50 + 53*p - 47*p + 49*p.
5*(p + 1)*(p + 10)
Factor 0 - 2/5*l**5 + 0*l**4 + 6/5*l + 12/5*l**3 - 16/5*l**2.
-2*l*(l - 1)**3*(l + 3)/5
Let y be ((-2)/3)/(10/(-45)). Solve -12*k**y - k**4 - k - 2*k**2 - 2*k**2 + 5*k**4 + 13*k = 0 for k.
-1, 0, 1, 3
Let r(x) = -23*x**4 + 25*x**3 + 97*x**2 + 33*x - 18. Let f(w) = -w**4 - w**3 - w**2. Let g(y) = -2*f(y) + r(y). Let g(v) = 0. What is v?
-1, 2/7, 3
Let u(b) be the second derivative of 5/12*b**3 + 0 + 1/24*b**4 + 4*b + 3/2*b**2. Factor u(r).
(r + 2)*(r + 3)/2
Let c(a) be the first derivative of a**5/90 - a**4/2 + 9*a**3 + 21*a**2/2 + 14. Let o(b) be the second derivative of c(b). Factor o(d).
2*(d - 9)**2/3
Let s(d) = d**3 + 35*d**2 - 70*d. Let y(u) = -u**2. Let z(l) = -s(l) - 2*y(l). Solve z(f) = 0.
-35, 0, 2
Let k(x) be the second derivative of -x**8/168 + x**7/42 - x**6/30 + x**5/60 - 6*x**2 + 22*x. Let w(f) be the first derivative of k(f). Factor w(j).
-j**2*(j - 1)**2*(2*j - 1)
Let v(w) be the second derivative of -w**4/114 - 9*w**3/19 - 72*w**2/19 + 304*w - 1. Factor v(h).
-2*(h + 3)*(h + 24)/19
Let k be ((-344)/40 - -6 - -2)*(-98)/3. Factor -k + 28/5*b - 2/5*b**2.
-2*(b - 7)**2/5
Let w be -4 - ((-6)/8 - 0)/(6/48). Solve -12/5*a**w - 9/5*a**3 - 4/5*a + 3/5*a**5 + 2/5*a**4 + 0 = 0 for a.
-1, -2/3, 0, 2
Let g(y) be the second derivative of 0*y**2 - 5/32*y**4 + 3/80*y**5 + 11*y - 1/4*y**3 + 0 + 3/80*y**6. Factor g(l).
3*l*(l + 1)**2*(3*l - 4)/8
Let y(h) be the first derivative of h**6/30 + 3*h**5/20 - 2*h**3/3 + 5*h - 3. Let u(b) be the first derivative of y(b). Factor u(s).
s*(s - 1)*(s + 2)**2
Suppose 0 = -2*r + 5*r - 6. Let b be 8/8 - (-22)/14 - r. Factor b - 10/7*u - 2*u**2.
-2*(u + 1)*(7*u - 2)/7
Factor 1/8*z**3 + 28*z + 29/8*z**2 + 49/2.
(z + 1)*(z + 14)**2/8
Let a(w) be the first derivative of w**6 - 4*w**5/5 - w**4/2 - 61. Find f, given that a(f) = 0.
-1/3, 0, 1
Factor -95 - r**2 + 145 + 5*r**2 - 140 - 15*r + r**2.
5*(r - 6)*(r + 3)
Let -42592*x**3 + 1/2 + 2904*x**2 - 66*x = 0. What is x?
1/44
Suppose -6*v - 21 = -9. Let g be v/(-4) - (-2 + 5)/6. Factor -6*z**4 - 2/5*z**2 + g + 0*z + 18/5*z**5 + 14/5*z**3.
2*z**2*(z - 1)*(3*z - 1)**2/5
Let v = -425/14 + 57263/1890. Let j = v + 158/135. Find i such that 0 - 2/3*i**2 + j*i**5 + 2/3*i**4 - 14/9*i**3 + 4/9*i = 0.
-1, 0, 2/5, 1
Let r(m) be the second derivative of 2*m**7/105 + m**6/24 - 7*m**5/60 - m**4/12 + 12*m**2 - 13*m. Let w(h) be the first derivative of r(h). Factor w(t).
t*(t - 1)*(t + 2)*(4*t + 1)
Let u(v) be the first derivative of -5*v**4/4 - 5*v**3 + 5*v**2/2 + 15*v