t g(w) = 21*w - 19. Let v be g(1). Let l be 12/14 + v/28*-4. Let l*a**5 + 4/7*a**4 + 0*a - 4/7*a**2 - 4/7*a**3 + 0 = 0. Calculate a.
-1, 0, 1
Let t be (-32)/(-2) - (-6)/(-3). Suppose 5*y - t + 4 = 0. Find q such that q**3 + 2*q**4 + 3*q**4 - 4*q**3 - y*q**4 = 0.
0, 1
Let u = -17 + 11. Let d be 4*u/(-8) + -1. Solve -7*n**2 - 7*n - 13*n - 20 - 8*n**2 + 10*n**d = 0.
-2
Let w(h) be the second derivative of -h**6/12 - 3*h**5/4 + 175*h. Find s such that w(s) = 0.
-6, 0
Suppose 0 = y + 6*y + 3255. Let p be 4/6 + 124/y. Solve -4/5*h + 6/5 - p*h**2 = 0 for h.
-3, 1
Let -7/5*z**3 + 3*z**2 - 3/5 + 19/5*z = 0. What is z?
-1, 1/7, 3
Suppose 5*s - 4*l = 25, -2*l + l - 3 = 2*s. Let r be ((-5)/(-30)*0)/(-1 - s). Find f, given that r*f**2 - 1/5 - 2/5*f**3 + 2/5*f + 1/5*f**4 = 0.
-1, 1
Find t such that 1/4*t**2 - 11 - 7/4*t = 0.
-4, 11
Let i(j) be the first derivative of -j**4/14 - 6*j**3/7 - 15*j**2/7 - 2*j + 54. Factor i(k).
-2*(k + 1)**2*(k + 7)/7
Let u(f) be the first derivative of f**4/12 - 4*f**3/9 + f**2/2 - 169. Solve u(y) = 0 for y.
0, 1, 3
Let g(z) be the first derivative of z**5/60 + z**4/12 - 15*z**2/2 + 26. Let t(s) be the second derivative of g(s). Factor t(h).
h*(h + 2)
Let k(f) be the third derivative of -21*f**5/20 - 19*f**4/8 + f**3 + 3*f**2 - 12. Factor k(y).
-3*(y + 1)*(21*y - 2)
Let k(x) be the second derivative of x**4/6 + 5*x**3/3 + 4*x**2 + 57*x. Suppose k(h) = 0. What is h?
-4, -1
Let z(s) = -8*s**4 + 7*s**3 + 14*s**2 + 5*s. Let g(p) = p**3 - p. Let u(j) = -g(j) - z(j). Factor u(v).
2*v*(v - 2)*(2*v + 1)**2
Let x(s) = 31*s**2 + 400*s + 1454. Let f(w) = 33*w**2 + 402*w + 1455. Let d(t) = 2*f(t) - 3*x(t). Suppose d(v) = 0. Calculate v.
-22/3
Let c(l) be the first derivative of l**5/55 + 17*l**4/44 + 26*l**3/11 + 16*l**2/11 - 128*l/11 - 18. Factor c(v).
(v - 1)*(v + 2)*(v + 8)**2/11
Let d be (-8 - (-594)/77)/((-26)/(-14) - 2). Factor 80/9*b - 26/3*b**d - 8/3 + 2*b**3.
2*(b - 3)*(3*b - 2)**2/9
Let z = -24 + 43. Determine q so that 4*q - 21*q**3 + 65*q**2 + q**3 - z*q = 0.
0, 1/4, 3
Let u(t) = -t**3 + 8*t**2 + t - 6. Let g be (-20)/8*-2 + 3. Let b be u(g). Factor 2*d**4 + 2*d + 2*d + 34*d**2 + 8*d**3 - 24*d**b.
2*d*(d + 1)**2*(d + 2)
Let r be (0/(-10 - -2))/(-1) - -48. Factor -1/4*k**3 - r*k + 6*k**2 + 128.
-(k - 8)**3/4
Let x(p) be the third derivative of -p**7/315 + p**5/90 - 9*p**2. Let x(y) = 0. Calculate y.
-1, 0, 1
Factor 12/7*o**5 + 44/7*o**4 + 0*o + 0 + 0*o**2 + 24/7*o**3.
4*o**3*(o + 3)*(3*o + 2)/7
Let c(v) = -v**2. Let a(d) = -d**2 - 16*d - 18. Let k be a(-16). Let j(m) = 7*m**2 + 12*m - 18. Let t(f) = k*c(f) - 2*j(f). Factor t(p).
4*(p - 3)**2
Let w(c) be the second derivative of c**4/36 - 28*c**3/9 + 392*c**2/3 - 2*c - 57. Factor w(q).
(q - 28)**2/3
Let v be (2 - (9 + -5))/(2 - 4). Determine m, given that -v + 0 + 2*m**2 - 3*m - 13 + 15*m = 0.
-7, 1
Let g = 2050 + -26647/13. Let q(k) be the first derivative of 1/39*k**6 - g*k**2 - 4/39*k**3 - 2/13*k + 2 + 6/65*k**5 + 1/13*k**4. Factor q(h).
2*(h - 1)*(h + 1)**4/13
Factor -480 - 972 + 125*j - 3*j**2 + 7*j.
-3*(j - 22)**2
Let v(z) = -28*z**3 + 145*z**2 + 247*z + 59. Let w(n) = 28*n**3 - 140*n**2 - 248*n - 60. Let c(x) = 4*v(x) + 3*w(x). What is i in c(i) = 0?
-1, -2/7, 7
Let j(h) be the second derivative of 121*h**5/2 + 55*h**4/4 - 30*h**3 + 10*h**2 - 275*h - 1. Factor j(l).
5*(2*l + 1)*(11*l - 2)**2
Let j(k) = k**2 + 32*k + 37. Let l(f) = -f**2 - 33*f - 37. Let d(x) = -5*j(x) - 6*l(x). What is m in d(m) = 0?
-37, -1
Suppose -3*u + 0*u = 0. Let i(c) = 7*c**2 + 30 + c**2 - 21*c + u*c**2 - 2*c**2. Let x(s) = 5*s**2 - 20*s + 29. Let b(n) = -2*i(n) + 3*x(n). Factor b(r).
3*(r - 3)**2
What is i in -18*i**2 - 12*i**2 - 16*i**2 + 10*i**2 - 30*i - 4*i**3 - 2*i = 0?
-8, -1, 0
Let k = 3759/2 + -1879. Factor 0*o - 1/4*o**2 - 1/4*o**4 + 0 + k*o**3.
-o**2*(o - 1)**2/4
Let p(s) be the second derivative of -2/15*s**4 - 8/75*s**5 + 1/2*s**2 - 1/15*s**3 + 0 - 4*s. Let g(a) be the first derivative of p(a). Factor g(b).
-2*(4*b + 1)**2/5
Suppose 2/7 + t**3 + 3/7*t - 12/7*t**2 = 0. Calculate t.
-2/7, 1
Determine s, given that -110*s**3 - 122*s**3 - 111*s**3 + 17*s + 10*s**2 + 344*s**3 + 8 = 0.
-8, -1
Let w(r) = -4*r**4 + 36*r**3 + 88*r**2 + 6*r + 6. Let b(q) = -4*q**4 + 36*q**3 + 88*q**2 + 5*q + 5. Let l(j) = 6*b(j) - 5*w(j). Suppose l(k) = 0. What is k?
-2, 0, 11
Suppose -v = -0*v - 30. Suppose 22*o**2 + 84*o + v*o**2 + 12 - 13*o**2 + 0*o**2 = 0. Calculate o.
-2, -2/13
Let j(t) be the third derivative of -t**7/5880 + t**5/840 + t**3 - 9*t**2. Let r(n) be the first derivative of j(n). Determine m so that r(m) = 0.
-1, 0, 1
Suppose 72*r = 78*r - 12. Let -22/7*a**r - 18/7*a + 4/7 = 0. What is a?
-1, 2/11
Let t(m) be the second derivative of -2*m**2 - 8/3*m**3 - 2*m**4 - 4/5*m**5 - 2/15*m**6 + 0 + 6*m. Determine a so that t(a) = 0.
-1
Let j(i) be the second derivative of 12*i + 0 - 1/3*i**4 - 4/3*i**3 + 6*i**2. Let j(x) = 0. Calculate x.
-3, 1
Let v be 906/(-10) - (-1)/(1/2). Let j = v + 89. Factor 4/5*d**3 + 0*d**2 - 4/5*d + j - 2/5*d**4.
-2*(d - 1)**3*(d + 1)/5
Factor -12 + 3/2*d**3 - 9*d**2 + 18*d.
3*(d - 2)**3/2
Let v(w) be the first derivative of -w**7/560 - w**6/60 - 3*w**5/80 - 2*w**3/3 - 11. Let i(k) be the third derivative of v(k). Let i(u) = 0. What is u?
-3, -1, 0
Let w(u) be the second derivative of u**5/420 - u**4/56 + u**2 + 31*u. Let a(g) be the first derivative of w(g). Factor a(d).
d*(d - 3)/7
Let s be ((-125)/(-70))/(60/126). Suppose -3*n + s*n**2 - 9/4 + 3/2*n**3 = 0. Calculate n.
-3, -1/2, 1
Let z = 489 - 485. Let g(i) be the second derivative of 0*i**2 + 21/5*i**6 + 0 + 8/7*i**3 - 106/21*i**z + 33/5*i**5 - 35/3*i**7 - 9*i. Factor g(h).
-2*h*(5*h + 3)*(7*h - 2)**3/7
Let g(q) be the third derivative of -q**7/17640 + q**5/210 - 7*q**4/24 + 2*q**2. Let x(n) be the second derivative of g(n). Find j such that x(j) = 0.
-2, 2
Let s(q) = q**4 + q**3 - q**2 + 1. Let o(g) = 10*g**4 + 28*g**3 - 44*g**2 + 12. Let f(p) = -2*p - 29. Let c be f(-15). Let v(r) = c*o(r) - 12*s(r). Factor v(n).
-2*n**2*(n - 4)**2
Let m(r) be the third derivative of -1/150*r**5 + 1/30*r**4 + 0*r - 1/15*r**3 - 20*r**2 + 0. Factor m(w).
-2*(w - 1)**2/5
Let b(z) = -z**4 + 14*z**3 + 12*z**2 - 3*z + 3. Let i(a) = 36*a**2 - 10*a - 3*a**4 + 6 + 42*a**3 + a**4 - 2*a**4 + 4. Let o(q) = 10*b(q) - 3*i(q). Factor o(j).
2*j**2*(j + 1)*(j + 6)
Let b(n) be the first derivative of n**8/9240 + n**7/660 + 2*n**6/495 - 4*n**5/165 + 26*n**3/3 - 35. Let k(a) be the third derivative of b(a). Factor k(d).
2*d*(d - 1)*(d + 4)**2/11
Let d = 75 + -107. Let b = 35 + d. Factor 2/13*m**b + 0 - 4/13*m**2 + 2/13*m.
2*m*(m - 1)**2/13
Let y(g) = -3*g + 74. Let x be y(24). Factor -4*s**5 + 0*s**5 + 44*s**4 - 26*s**x - 96*s**3 - 118*s**2.
-4*s**2*(s - 6)**2*(s + 1)
Let p(o) be the first derivative of -o**4/3 - 20*o**3/3 - 18*o**2 + 20*o + 3. Let b(k) be the first derivative of p(k). Solve b(n) = 0 for n.
-9, -1
Let b = 7 - 4. Let w(a) = -a**2 - 8*a + 36. Let g be w(-11). Factor -m - 3 + b + 0 + m**g.
m*(m - 1)*(m + 1)
Factor 4/5*m**3 - 2/5*m + 0*m**2 - 2/5*m**5 + 0 + 0*m**4.
-2*m*(m - 1)**2*(m + 1)**2/5
Factor 2/5*f**3 - 8/5*f**2 - 54/5*f + 36.
2*(f - 6)*(f - 3)*(f + 5)/5
Let b be 46/15 - 4/6. Let i = 40532/5 - 8106. Let b*u + 8/5*u**3 + 18/5*u**2 + i = 0. What is u?
-1, -1/4
Let -8/13*g**3 - 2/13*g**2 - 2/13*g**4 + 0 + 12/13*g = 0. What is g?
-3, -2, 0, 1
Let u(p) be the second derivative of -p**7/1120 + p**6/96 - p**5/20 + p**4/8 - 4*p**3/3 - 17*p. Let a(w) be the second derivative of u(w). Factor a(o).
-3*(o - 2)**2*(o - 1)/4
Let g(o) be the third derivative of o**8/1512 - 4*o**7/945 - 29*o**6/540 - 14*o**5/135 + 7*o**4/27 + 32*o**3/27 + 211*o**2. Find c, given that g(c) = 0.
-2, -1, 1, 8
Let v(z) be the first derivative of z**7/525 - 2*z**5/75 + 9*z**2/2 - 10. Let i(m) be the second derivative of v(m). Let i(n) = 0. Calculate n.
-2, 0, 2
Let i be (-28)/(-15)*(-48)/168*3/(-2). Determine m, given that -8/5*m + i + 4/5*m**2 = 0.
1
Factor -4*i**2 + 64*i - 30*i - 230*i.
-4*i*(i + 49)
Let v(s) = 11*s + 55. Let h be v(-5). Let l(j) be the first derivative of 2 + 0*j**2 + h*j + 3/5*j**5 + 9*j**3 + 9/2*j**4. Solve l(b) = 0 for b.
-3, 0
Let q be 3/(-5) + (-36)/(-10). Let y be (68/(-16) + 5)*(-1 - -5). Determine n so that q*n**2 + n**2 - 2*n**3 + 0*n**3 -