112 - 4*b**7/35 + b**6/40 + 2*b**5/5 - b**4/2 + 28*b**2 + 2. Determine m so that c(m) = 0.
-1, 0, 2/3, 1, 2
Suppose -2*d + 100 = 2*d. Suppose -4*i - 4*c + d + 3 = 0, 0 = -4*i - 5*c + 28. What is u in u**3 + i*u**2 - 2*u**4 + 0*u**4 - 3*u**2 + u**3 = 0?
-1, 0, 2
Let i(y) = 0*y + 0*y**3 + y**3 - 2 + 2*y + 5*y**2. Let f(k) = -k**3 - 6*k**2 - 3*k + 1. Suppose -t = -2 + 5. Let p(q) = t*i(q) - 2*f(q). Factor p(a).
-(a - 1)*(a + 2)**2
Let n(t) = -46*t**2 + 830*t - 29390. Let w(z) = -14*z**2 + 277*z - 9797. Let q(o) = -6*n(o) + 20*w(o). Factor q(x).
-4*(x - 70)**2
Let i(b) be the third derivative of b**7/70 + b**6/40 - 22*b**2 + 4*b. Suppose i(s) = 0. Calculate s.
-1, 0
Suppose 112/3*s**2 + 2 + 32/3*s**3 + 50/3*s = 0. What is s?
-3, -1/4
Let b(t) be the first derivative of t**6/6 - t**5/5 - t**4/2 + 98. Factor b(c).
c**3*(c - 2)*(c + 1)
Let f = -1 + -1. Let a be (-1)/f + (-39)/(-6). Factor -9*k**2 - 8*k**3 - 5*k**5 - 12*k**4 + a*k**2 - k**3.
-k**2*(k + 1)**2*(5*k + 2)
Factor -198*u - 54/11*u**3 + 54*u**2 + 242.
-2*(3*u - 11)**3/11
Suppose 6*s + 4 = 8*s. Factor b + b**3 + 4*b - s*b - 4*b**3.
-3*b*(b - 1)*(b + 1)
Let r(q) be the second derivative of -5*q**7/42 + 3*q**5 - 20*q**4/3 - 40*q. Suppose r(o) = 0. What is o?
-4, 0, 2
Let z be 6/4 - ((-10)/(-4))/5. Let n be (((-2)/(-6))/(-1))/(z/(-6)). Let 1/2*v**5 + 3/2*v - n*v**3 - 1 + v**2 + 0*v**4 = 0. What is v?
-2, -1, 1
Factor -16/7*p - 20/7*p**2 + 4/7.
-4*(p + 1)*(5*p - 1)/7
Let r(n) be the second derivative of -n**4/6 + 2*n**3/3 - 2*n**2 + 22*n. Let q(j) = 0*j - j + 4 + 0*j + j**2 - 3. Let m(h) = 4*q(h) + r(h). Factor m(p).
2*p**2
Let f(m) be the third derivative of -m**9/105840 - m**8/35280 + m**7/2205 + m**6/315 + m**5/60 - 4*m**2. Let q(b) be the third derivative of f(b). Factor q(y).
-4*(y - 2)*(y + 1)*(y + 2)/7
Let s(b) be the third derivative of b**7/504 - 7*b**4/24 - 6*b**2. Let t(p) be the second derivative of s(p). Find d, given that t(d) = 0.
0
Suppose -8*f - 80 = -96. Let j(c) be the first derivative of -1/15*c**f - 1/30*c**4 - 4/45*c**3 + 4 + 0*c. Determine n, given that j(n) = 0.
-1, 0
Let g be -10 - 4*(-480)/190. Factor -6/19 + g*x**4 - 12/19*x**3 + 2/19*x**5 - 22/19*x - 28/19*x**2.
2*(x - 3)*(x + 1)**4/19
Let y(w) = 5*w**2 + 3*w - 8. Let i(p) = 2*p**2 + p - 3. Let z be ((-3)/6)/((-1)/(-2)). Let m = 2 - z. Let f(t) = m*y(t) - 8*i(t). Solve f(j) = 0 for j.
0, 1
Let r(n) be the second derivative of -n**6/70 + 21*n**5/20 - 667*n**4/28 + 1587*n**3/14 + n + 351. Suppose r(y) = 0. Calculate y.
0, 3, 23
Factor -12*j**3 + 0*j + 0 - 9*j**2 - 3/4*j**5 - 21/4*j**4.
-3*j**2*(j + 2)**2*(j + 3)/4
Let p = 72 - 389. Let o = p + 317. Let 0*v**4 - 2/3*v**2 - 1/3*v**5 + 0 + o*v + v**3 = 0. What is v?
-2, 0, 1
Let q(i) be the second derivative of -441*i**5/10 + 154*i**4 - 85*i**3/3 + 2*i**2 + 8*i - 13. Solve q(c) = 0 for c.
1/21, 2
Let v(h) be the second derivative of -h**6/150 - 2*h**5/25 - 3*h**4/10 - 8*h**3/15 - h**2/2 + 12*h + 6. Find n, given that v(n) = 0.
-5, -1
Factor 0*t**4 - 3*t**4 - 47*t + 9*t**3 + 35*t.
-3*t*(t - 2)**2*(t + 1)
Let b be (-740)/(-2860) + (-4 + 6)/(-26). Factor 4/11*d + 6/11 - b*d**2.
-2*(d - 3)*(d + 1)/11
Factor -1/6*t**2 - 16/3 - 2*t.
-(t + 4)*(t + 8)/6
Let s be (-22)/44 - (-50)/28. Let x be ((-14)/(-147))/(4/36). Factor s*h**4 - x + 3*h**3 + 9/7*h**2 - 9/7*h.
3*(h + 1)**3*(3*h - 2)/7
Suppose 2*t + 0 = 8. Determine j so that -18*j**2 - 3*j + 0*j**3 - 7*j**3 - 3 - 9*j - 5*j**3 - 3*j**t = 0.
-1
Let u(l) be the first derivative of 64*l**6/9 + 32*l**5/15 - 6*l**4 + 22*l**3/9 - l**2/3 - 197. What is b in u(b) = 0?
-1, 0, 1/4
Let u(n) be the first derivative of 5*n**9/3024 - n**8/112 + n**7/56 - n**6/72 + 4*n**3/3 + 35. Let l(o) be the third derivative of u(o). What is w in l(w) = 0?
0, 1
Let r = -2 + 6. Suppose t = r - 1. Factor -t*b + 2*b**3 + 3*b**3 + 0*b**2 - 2*b**3 - 3*b**4 + 3*b**2.
-3*b*(b - 1)**2*(b + 1)
Let r(j) = -12*j**2 - 16*j + 64. Let n(f) = -4*f**2 - 5*f + 20. Let s(y) = -16*n(y) + 5*r(y). Factor s(m).
4*m**2
Let j(i) be the third derivative of 1/90*i**5 + 0*i - 1/360*i**6 - 1/9*i**3 - 4*i**2 + 0 + 1/72*i**4. Factor j(y).
-(y - 2)*(y - 1)*(y + 1)/3
Let n(r) = 4*r**3 + 8*r**2 - 38*r + 3. Let o(m) = -m**3 - 2*m**2 + m - 1. Let y(f) = 5*n(f) + 15*o(f). Suppose y(c) = 0. Calculate c.
-7, 0, 5
Factor -4/7*b**2 + 24/7*b - 20/7.
-4*(b - 5)*(b - 1)/7
Let h(g) be the first derivative of g**3/21 - 183*g**2/7 + 33489*g/7 + 143. Factor h(c).
(c - 183)**2/7
Let d(l) be the first derivative of 22 + 0*l**2 - 1/45*l**6 - 1/10*l**4 + 2/25*l**5 + 0*l + 2/45*l**3. Solve d(n) = 0.
0, 1
Let a be 194/126 + (-1270)/1143. Determine t, given that 0*t - 3/7*t**2 + 0 - a*t**3 = 0.
-1, 0
Let d(l) be the second derivative of 23*l**4/96 - 17*l**3/12 - 3*l**2/16 - 211*l. Let d(w) = 0. What is w?
-1/23, 3
Factor 0 - 1/5*t**2 + 4/5*t**3 - 6/5*t - 1/5*t**4.
-t*(t - 3)*(t - 2)*(t + 1)/5
Let p(l) be the first derivative of -l**3/15 - 113*l**2/10 + 267. Solve p(t) = 0.
-113, 0
Let o(y) be the first derivative of y**6/15 - y**5/10 - 9*y - 18. Let v(z) be the first derivative of o(z). Solve v(f) = 0 for f.
0, 1
Let j(r) be the second derivative of -r**6/15 - 11*r**5/10 - 9*r**4/2 + 11*r**3/3 + 28*r**2 - 151*r. Find a such that j(a) = 0.
-7, -4, -1, 1
Let w(k) be the first derivative of k**3/8 + 45*k**2/4 + 675*k/2 - 57. Find h such that w(h) = 0.
-30
Let w(i) = 74*i**2 - 120*i + 46. Let x(f) = -227*f**2 + 360*f - 136. Let g(o) = -14*w(o) - 4*x(o). Suppose g(a) = 0. Calculate a.
5/8, 5/4
Suppose -5*y = -24*y + 12*y. Let -3/4*d**2 + y + 0*d + 1/4*d**3 = 0. Calculate d.
0, 3
Let g(h) = -10*h**2 - 16*h + 24. Let l(o) = -18*o**2 - 28*o + 48. Let a(r) = -5*g(r) + 3*l(r). Find b, given that a(b) = 0.
-3, 2
Suppose -103*s + 100*s + 12 = 0. Suppose 3*a + 0*r + 5*r = 15, 5*a - s*r = 25. Factor -2/15*t**a + 0*t**3 - 4/15*t**4 + 2/15*t + 0 + 4/15*t**2.
-2*t*(t - 1)*(t + 1)**3/15
What is u in 0*u - 8*u**2 + 2/3*u**5 - 16/3*u**3 + 0 + 10/3*u**4 = 0?
-6, -1, 0, 2
Determine k, given that 4/5*k**2 + 4/5*k**3 - 8/5*k + 0 = 0.
-2, 0, 1
Suppose -10 = 8*d - 34. Determine s, given that 32*s**2 - 2*s + 7*s**d + 22*s**4 + 11*s - s - 69*s**3 = 0.
-2/11, 0, 1, 2
Suppose -3*o + 4*t + 33 = 0, 4*o + 5*t = 6*t + 57. Factor 4*s - 4*s**4 + 10*s**4 - 6*s - o*s**3 - 33*s**2 - 10*s.
3*s*(s - 4)*(s + 1)*(2*s + 1)
Let m(d) be the third derivative of 3*d**6/80 - 19*d**5/120 + 11*d**4/48 - d**3/12 + d**2 - 108*d. Factor m(j).
(j - 1)**2*(9*j - 1)/2
Let s = 4495/819 - 121/21. Let x = -2/39 - s. Factor 0*q**2 + x*q**3 + 4/9 - 2/3*q.
2*(q - 1)**2*(q + 2)/9
Suppose 3*o = 6 + 6. Determine s, given that -20*s**3 - 5*s + 10*s**o + 13*s + 6*s**4 + 2 - 6*s**2 = 0.
-1/2, -1/4, 1
Let i(w) be the first derivative of -5*w**4/4 + 85*w**3/3 + 185*w**2/2 + 95*w + 41. Determine v so that i(v) = 0.
-1, 19
Suppose -19 = -7*y - 5. Factor -18*o + 33*o + 1 + 3*o**y - 18*o - o**3.
-(o - 1)**3
Let x(v) be the third derivative of 1/15*v**5 + 1/315*v**7 - 1/45*v**6 + 1/9*v**3 + 0 + 0*v - 18*v**2 - 1/9*v**4. Factor x(k).
2*(k - 1)**4/3
Suppose -113*n**2 + 9 - 29 + 114*n**2 - n = 0. What is n?
-4, 5
Let v(k) be the third derivative of k**5/60 - 7*k**4/24 + k**3 + 33*k**2. Find g such that v(g) = 0.
1, 6
Let a(k) be the third derivative of -2/735*k**7 + 1/105*k**5 + 0*k + 0*k**3 + 0*k**6 - 24*k**2 + 0 + 1/84*k**4 - 1/1176*k**8. Find d such that a(d) = 0.
-1, 0, 1
Let c(g) be the first derivative of g**7/1155 + g**6/330 - g**4/66 - g**3/33 + 11*g**2/2 + 1. Let m(u) be the second derivative of c(u). Solve m(v) = 0 for v.
-1, 1
Let w(i) be the first derivative of 10*i**3/3 + 13*i**2 - 12*i - 49. Factor w(u).
2*(u + 3)*(5*u - 2)
Let b(i) = 35*i**4 - 17*i**3 - 128*i**2 + 137*i. Let a(z) = -16*z**4 + 8*z**3 + 64*z**2 - 68*z. Let m(h) = -9*a(h) - 4*b(h). Factor m(f).
4*f*(f - 4)*(f - 1)*(f + 4)
Let b = 73 - 71. Suppose -6*u - 47*u**b + 29*u**2 + 43*u + 3*u - 8 = 0. What is u?
2/9, 2
Suppose 4*w - c - 173 = 0, -2*w - 3*w - 3*c + 195 = 0. Let l be 11/6 + 7/w. Factor 1/3*o**l + 1/3*o**4 + 0*o + 0 - 2/3*o**3.
o**2*(o - 1)**2/3
Let j = 1106 - 3316/3. What is g in 0 - 2/3*g + j*g**3 + 5/3*g**2 - 5/3*g**4 = 0?
-1, 0, 2/5, 1
Let l(q) be the second derivative of q**5/4 + 5*q**4/6 + 5*q**3/6 + 2*q - 110. Solve l(m) = 0.
-1, 0
Let z = 122 + -106. Suppose 12*d - z*d + 8 = 0. Factor 2/9*n - 2