) = -32*q**3 - 10*q**2 + 16*q - 34. Let l(t) = v(t) + 10*x(t). Suppose l(m) = 0. What is m?
-2, 1, 6
Let i(p) be the second derivative of p**5/10 + 5*p**4/3 + 29*p**3/3 + 20*p**2 - 4*p + 3. Determine g, given that i(g) = 0.
-5, -4, -1
Let k(u) = -3*u**2 - 5*u. Let v be (-6)/(-15) + (-36)/15. Let s(t) = -t. Let n(b) = v*s(b) + k(b). Factor n(y).
-3*y*(y + 1)
Let q(f) be the third derivative of f**5/270 + 5*f**4/108 - 2*f**2 + 62*f. Factor q(t).
2*t*(t + 5)/9
Let o(f) be the first derivative of 4*f**5 + 15*f**4 - 145*f**3 - 235*f**2 - 120*f - 81. Determine s, given that o(s) = 0.
-6, -1/2, 4
Let p(o) be the third derivative of 0*o + 26*o**2 - 49/12*o**5 - 40/3*o**3 + 0 - 35/3*o**4. Factor p(f).
-5*(7*f + 4)**2
Suppose -47*z + 18*z + 116 = 0. Let j(a) be the first derivative of -4/39*a**3 + 5 + 1/26*a**z + 0*a**2 + 0*a. Factor j(l).
2*l**2*(l - 2)/13
Let i(v) be the second derivative of -2*v**6/5 + 111*v**5/5 - 1129*v**4/4 - 2220*v**3 - 5400*v**2 + 531*v + 2. Determine z so that i(z) = 0.
-3/2, 20
Suppose 7*x - 5*x = 8. Suppose x*c + 8 + 4 = 0, -4*p + 2*c + 26 = 0. Solve 2*o**4 + o**4 - 4*o**2 + o + 3*o**3 - 16*o - 6 - p*o**2 = 0 for o.
-1, 2
Let v(l) be the first derivative of -4*l**5/25 + 2*l**4 + l**3/5 - 29*l**2/10 - 2*l + 6. Solve v(d) = 0 for d.
-1/2, 1, 10
Let i(w) = -w**3 - 30*w**2 - 291*w - 967. Let g(k) = 6*k + 1. Let m(c) = 5*g(c) - 5*i(c). Find r such that m(r) = 0.
-11, -8
Suppose -11*g - 34 = -9*g - 5*b, 2*g + 2 = b. Find a, given that 3/2*a**4 + 3/2*a**3 + 0*a + 0 - g*a**2 = 0.
-2, 0, 1
Let p be (80/(-15) - -4)/((-8)/12). Let y(f) be the second derivative of -1/4*f**p - 1/80*f**5 - 3*f + 1/24*f**3 + 1/24*f**4 + 0. Let y(u) = 0. What is u?
-1, 1, 2
Suppose 0 = 3*q + 2*q - g - 20, 3*q = -4*g + 35. Determine r, given that 5*r**q + 10 - 9*r**4 + 20*r**3 + 10*r**2 - 4*r**4 - 7*r**4 - 25*r = 0.
-1, 1, 2
Let q(w) be the second derivative of 5*w**4/6 - 8*w**3/3 - 25*w. Let p(c) = 3*c**2 - 5*c. Let l = -14 + 0. Let i(b) = l*p(b) + 4*q(b). Factor i(a).
-2*a*(a - 3)
Factor 0*y + 0 - 3/2*y**3 - 27/2*y**2.
-3*y**2*(y + 9)/2
Let t(q) be the second derivative of -q**5/14 - 11*q**4/42 + 2*q**3/21 + 8*q**2/7 - 11*q - 2. Determine y so that t(y) = 0.
-2, -1, 4/5
Let b(l) = 14*l**2 + 2*l - 1. Let a be b(1). Determine x, given that 6*x**2 - 10*x**3 - 13*x + 2*x + a*x = 0.
-2/5, 0, 1
Let x(u) = u**2 + 2. Let c(w) = -4*w**2 + 5*w - 6. Let r(k) = -3*c(k) - 15*x(k). Find g, given that r(g) = 0.
-4, -1
Let z(x) be the third derivative of -4/3*x**3 - 10*x**2 - 1/3*x**4 + 0*x - 1/30*x**5 + 0. Factor z(h).
-2*(h + 2)**2
Let w be (8 - 86/10)*(-40)/108. Let w*g**2 + 2/3*g + 0 = 0. What is g?
-3, 0
Suppose -3/5*f**2 + 2/5 - 1/5*f**3 + 1/5*f + 1/5*f**4 = 0. Calculate f.
-1, 1, 2
Let i = -3157 - -9517/3. Factor 14/3*u**5 - i*u**4 - 26/3*u**2 + 18*u**3 + 4/3*u + 0.
2*u*(u - 1)**3*(7*u - 2)/3
Let f(i) be the second derivative of 13*i + 0 - 1/2*i**4 + 3/20*i**5 + 0*i**2 - 3/2*i**3. Find h, given that f(h) = 0.
-1, 0, 3
Let q be (-8)/6*1854/12*1. Let x = -203 - q. Suppose 0 - 1/2*d**2 + 0*d - 1/2*d**4 + d**x = 0. What is d?
0, 1
Let -28/5 + 14/15*t**3 - 214/15*t + 284/15*t**2 = 0. What is t?
-21, -2/7, 1
Let m be 5 + 5 - (-988)/(-114). Determine o so that 4/3*o + m*o**2 + 0 + 1/3*o**3 = 0.
-2, 0
Let n(x) be the third derivative of 0*x**4 - 1/150*x**5 + 0*x**6 + 0*x + 0*x**3 - 38*x**2 + 1/525*x**7 + 0. Factor n(k).
2*k**2*(k - 1)*(k + 1)/5
Suppose 8 + 2 = 5*h. Factor -p**h - 10*p**3 + p**2 + 7*p**3 + 3*p**2.
-3*p**2*(p - 1)
Let n = 47 - 233/5. Let i(c) be the second derivative of 2/15*c**3 + n*c**2 - 1/12*c**4 - 3/100*c**5 + 0 + 5*c. Factor i(m).
-(m - 1)*(m + 2)*(3*m + 2)/5
Let a(g) be the second derivative of 1/70*g**5 + 5/21*g**3 + 11*g + 2/21*g**4 + 2/7*g**2 + 0. Factor a(p).
2*(p + 1)**2*(p + 2)/7
Let o(m) be the first derivative of 25/3*m**3 + 4*m**5 + 0*m + 10*m**4 + 12 + 5/2*m**2. Factor o(a).
5*a*(a + 1)*(2*a + 1)**2
Let c be (4/3)/(5/(45/4)). Solve 4*x**c - 8*x**2 - 4*x + 9 + 8 - 9 = 0 for x.
-1, 1, 2
Let m(j) be the first derivative of 1/3*j**3 + 6*j + 37 - 5/2*j**2. Factor m(x).
(x - 3)*(x - 2)
Let u(f) = -71*f**3 - f**2 + 68*f**3 - 3*f**2 + 2. Let w(t) = -t**3 - t**2 + 1. Let y(g) = 2*u(g) - 4*w(g). Factor y(z).
-2*z**2*(z + 2)
Let l(b) be the second derivative of -5*b**4/72 - 35*b**3/12 - 25*b**2/3 + 158*b. Factor l(x).
-5*(x + 1)*(x + 20)/6
Let i = 50 + -48. Factor -14*u - i + 41*u**3 + 10*u**2 - 43*u**3 + 8.
-2*(u - 3)*(u - 1)**2
Let n = 9 + -3. Suppose 2*p**3 + n*p**2 - 13*p**2 + 5*p**2 = 0. What is p?
0, 1
Let h = 177 - 87. Suppose -5*b**4 - 5*b + h + 5*b**3 - 90 + 5*b**2 = 0. What is b?
-1, 0, 1
Solve -24/17 - 8/17*f + 2/17*f**2 = 0.
-2, 6
Let h(v) be the third derivative of -1/64*v**6 + 1/20*v**5 + 0*v + 0*v**3 - 1/16*v**4 + 1/560*v**7 + 0 + 9*v**2. Factor h(k).
3*k*(k - 2)**2*(k - 1)/8
Let z(s) be the third derivative of 0 + 0*s - 1/80*s**5 - 3/16*s**4 + 13*s**2 - 5/8*s**3. Factor z(h).
-3*(h + 1)*(h + 5)/4
Let j(w) = w**3 + 4*w**2 - 2*w - 2. Let v be j(-4). Factor l - 3*l**4 - v*l**2 + l**4 + 6*l**3 - l + 2*l.
-2*l*(l - 1)**3
Suppose 16 = 5*l + 6. Let a = 17 + -15. Factor -1/2*y**2 - a - l*y.
-(y + 2)**2/2
Let h(l) = l**3 + 7*l**2 - 7*l + 13. Let y be h(-8). Let n = 73/3 + -24. Suppose 1/3*c**y + 1/3*c**4 - n*c**2 + 0 + 0*c - 1/3*c**3 = 0. What is c?
-1, 0, 1
Let j = 1184 + -1182. Let z(u) be the first derivative of -2/39*u**6 + 2/65*u**5 + 0*u**j + 0*u + 3 - 2/39*u**3 + 1/13*u**4. Let z(i) = 0. What is i?
-1, 0, 1/2, 1
Let u(a) be the second derivative of -2*a**6/21 + 2*a**5/35 + 5*a**4/7 - 32*a**3/21 + 8*a**2/7 + a + 33. What is z in u(z) = 0?
-2, 2/5, 1
Let c(f) be the third derivative of -2*f**7/105 - 2*f**6/15 + f**5/15 + 8*f**4/3 + 8*f**3 + 38*f**2. Let c(z) = 0. Calculate z.
-3, -2, -1, 2
Let s(k) be the first derivative of 0*k + 6 + 1/12*k**6 - 1/2*k**4 - 1/3*k**3 + 1/5*k**5 + 3/4*k**2. Determine v, given that s(v) = 0.
-3, -1, 0, 1
Let m = -173439/2102 - -12/1051. Let j = -81 - m. Determine t, given that -j*t**2 + 1/2*t**4 + 1/2*t + 1 - 1/2*t**3 = 0.
-1, 1, 2
Let m(b) be the third derivative of -21/20*b**5 + 0 + 0*b + 1/40*b**6 + 147/8*b**4 - 22*b**2 - 343/2*b**3. Factor m(w).
3*(w - 7)**3
Let b(h) be the first derivative of -5*h**4 + 275*h**3/3 + 35*h**2 - 226. Factor b(p).
-5*p*(p - 14)*(4*p + 1)
Let u be -4*6/24 - -3. Let f(y) be the first derivative of 1/8*y + 4 + 1/24*y**3 + 1/8*y**u. Solve f(x) = 0.
-1
Let f(o) be the third derivative of o**6/900 + o**5/75 + o**4/60 - 2*o**3/9 + 34*o**2 - 7*o. What is m in f(m) = 0?
-5, -2, 1
Let k(z) be the first derivative of z**6/2880 - z**5/480 + z**4/192 + 11*z**3/3 + 8. Let r(v) be the third derivative of k(v). Solve r(g) = 0.
1
Let h be 368/(-1495) + 6/15. Factor 0 + 0*o + 0*o**2 + h*o**4 + 2/13*o**3.
2*o**3*(o + 1)/13
Let k(n) = n**3 + 42*n**2 + n. Let p(s) = -50*s**2. Let u(o) = -7*o**2. Let q(v) = -2*p(v) + 15*u(v). Let y(l) = -5*k(l) - 40*q(l). Let y(h) = 0. What is h?
-1, 0
Let f(r) = 2*r - 8. Suppose 2*g - 16 = -2*h, -g = -4*h - 6*g + 35. Let d be f(h). Factor 7*b**3 + 25*b**4 + 5*b**5 + 35*b**3 + 20*b**d - 2*b**3.
5*b**2*(b + 1)*(b + 2)**2
Let m(g) be the first derivative of -g**3/24 + 87*g**2/8 - 173*g/8 + 636. Factor m(d).
-(d - 173)*(d - 1)/8
Let v be (-23140)/(-5850) + (-4)/(-90). Let z(o) be the third derivative of 0*o + 0 + 1/210*o**5 + 1/210*o**6 - 1/42*o**v - 1/21*o**3 - 7*o**2. Factor z(u).
2*(u - 1)*(u + 1)*(2*u + 1)/7
Let u(b) be the first derivative of 0*b**3 + 0*b**2 + 1/48*b**4 + 5 + 6*b. Let o(v) be the first derivative of u(v). Factor o(c).
c**2/4
Let d = 256698 + -2307991/9. Let m = -253 + d. Factor 4/9 - m*i + 2*i**2 + 2/9*i**4 - 10/9*i**3.
2*(i - 2)*(i - 1)**3/9
Suppose -20 + 16*k**3 + 76/3*k**2 - 16/3*k**4 - 2/3*k**5 - 46/3*k = 0. Calculate k.
-10, -1, 1, 3
Suppose -12*z = -7*z - 15. Suppose 30 + 8*a**3 + 35*a - 13*a**z + 0*a**3 = 0. Calculate a.
-2, -1, 3
Let r be (-3)/(-9) - (-10)/6. Suppose 3*h + m = 17 - 6, 6 = r*h + 2*m. Find c, given that c**4 - 2*c**3 + 5*c**2 + c**2 + 2*c - h - 2*c**4 - c**4 = 0.
-2, -1, 1
Let y(t) be the first derivative of -t**7/210 - t**6/90 + t**5/30 + t**4/6 + 5*t**3/3 + 6. Let n(x) be the third derivative of y(x). Factor n(b).
-4*(b - 1)*(b + 1)**2
Factor -8/3*i + 20/3 - 1/3*i**2.
-(i - 2)*(i + 10)/3
Determine a so that 104 + 1477