r + 1)*(2*r - 1)
Suppose 5*t = -5*s + 20, 0*t - 2 = -t. Solve -3/4*j**s + 1 + 1/4*j**4 + 1/2*j**3 - j = 0 for j.
-2, 1
Let n(h) = -9*h**3 - 3*h**2 + 16*h + 37. Let t(p) = -4*p**3 - 2*p**2 + 8*p + 18. Let s(i) = -4*n(i) + 10*t(i). Let s(b) = 0. Calculate b.
-2, 2
Let v(j) = -j - 4. Let d be v(-4). Let n(m) be the third derivative of 0*m**4 + 0*m + 1/3*m**3 + 2*m**2 - 1/30*m**5 + d. Suppose n(t) = 0. Calculate t.
-1, 1
Let k(w) be the third derivative of w**5/210 + w**4/168 - 5*w**2. Suppose k(o) = 0. Calculate o.
-1/2, 0
Factor 0*v + 2/9*v**2 + 0.
2*v**2/9
Suppose 8/5 - 18/5*i**2 - 14/5*i**3 + 24/5*i = 0. What is i?
-2, -2/7, 1
Let l(x) be the second derivative of x**7/280 + x**6/120 - x**3/2 - 4*x. Let f(o) be the second derivative of l(o). Determine z so that f(z) = 0.
-1, 0
Let v be 4*(1 + ((-124)/(-24) - 6)). Factor 1/3*u**2 + 1/3 + v*u.
(u + 1)**2/3
Let j = -2 + 4. Suppose 5*o + j*h = 5, 0 = -h - 3 - 2. Determine a, given that -72*a**2 - 64*a - 16 + 32*a**4 + a**3 - a**o - 5*a**4 = 0.
-2/3, 2
Let j be 3 + -1 - 4/8*-2. Let t(s) = 2*s**2 - 9*s + 4. Let y(k) be the second derivative of -k**3/6 + k. Let f(z) = j*y(z) - t(z). What is i in f(i) = 0?
1, 2
Let w = -3 + 5. Suppose -2*b - 6*b**w - 4*b**3 - 13*b**2 + 7*b**2 - 6*b = 0. What is b?
-2, -1, 0
Let y(z) be the third derivative of z**5/20 + 6*z**2. Solve y(a) = 0.
0
Let n(f) be the second derivative of f**5/60 - f**4/24 + f**2/2 + 2*f. Let a(t) be the first derivative of n(t). Determine i, given that a(i) = 0.
0, 1
Factor u**3 - 2*u**2 - 5*u**3 - 2*u**3 + 5*u**2 + 3*u.
-3*u*(u - 1)*(2*u + 1)
Let d(z) = 2*z**3 + 25*z**2 + 11*z - 10. Suppose 6*c + 12 = 5*c. Let j be d(c). Solve -7/2*n**4 - 2 + 8*n - 25/2*n**j + 1/2*n**5 + 19/2*n**3 = 0 for n.
1, 2
Let g be 8/5 - 4/(-10). Let s(x) = -2*x - x**2 - 4 - 5*x**g + 2*x**3 + 2*x**2. Let c(o) = -o**2 - 1. Let v(j) = -4*c(j) + s(j). Factor v(i).
2*i*(i - 1)*(i + 1)
Let t(l) = l**2 - 10*l + 4. Let n(b) = -6*b**2 + 51*b - 21. Let s(y) = 4*n(y) + 21*t(y). Factor s(k).
-3*k*(k + 2)
Let c(m) be the first derivative of 0*m**2 - 1/27*m**6 + 2/27*m**3 - 2/45*m**5 - 4 + 1/18*m**4 + 0*m. Let c(a) = 0. What is a?
-1, 0, 1
Let c(n) = n**2 - 12*n - 7. Let p be c(13). Let o(u) be the third derivative of -3/100*u**p - 2/25*u**5 - 2/15*u**3 + 11/60*u**4 + 0*u - u**2 + 0. Factor o(d).
-2*(d + 2)*(3*d - 1)**2/5
Let j(t) = -t**2 - 2*t. Let d(f) = -f**2 - 10*f. Let m(i) = -2*i**2 - 15*i. Let o(u) = 7*d(u) - 5*m(u). Let h(y) = 5*j(y) + 2*o(y). Factor h(l).
l**2
Let a(i) be the second derivative of i**5/30 - 2*i**4/3 + 16*i**3/3 - i**2/2 + i. Let j(o) be the first derivative of a(o). What is l in j(l) = 0?
4
Solve 2/3 - 10/3*k - 2/3*k**2 + 10/3*k**3 = 0.
-1, 1/5, 1
Let w(c) be the first derivative of c**4/4 - 2*c**3/3 + 7*c**2/2 - 2*c + 5. Let g(o) = -5*o**3 + 9*o**2 - 36*o + 10. Let q(a) = -6*g(a) - 33*w(a). Factor q(t).
-3*(t - 2)*(t - 1)**2
Let u(x) be the second derivative of 5*x**4/36 + 5*x**3/6 - 10*x**2/3 - 7*x. Determine f so that u(f) = 0.
-4, 1
Let f be ((-2)/(-3))/(20/(-207)). Let o = -27/5 - f. Suppose 0 + o*c**4 + 0*c**2 - 3/2*c**3 + 0*c = 0. Calculate c.
0, 1
Factor -20/3*s**4 - 2/3*s**2 + 0 - 22/3*s**3 + 0*s.
-2*s**2*(s + 1)*(10*s + 1)/3
Let j(w) be the first derivative of 5*w**4 - 3 - 10*w**2 + 8/3*w**3 - 8*w. Find m such that j(m) = 0.
-1, -2/5, 1
Let c(q) = 3*q**3 - 62*q - 82. Let r(n) = n**3 + n + 1. Let h(z) = -c(z) - 2*r(z). Factor h(f).
-5*(f - 4)*(f + 2)**2
Suppose 6 + 8 = 7*w. Suppose 0*h + 0 - 3/4*h**w = 0. What is h?
0
Let r be 1108/36 + (-4)/(-18). Suppose 0 = 2*s - 5*t + 2*t + 9, -2*s - 5*t = -r. Suppose i**4 - 3*i**3 - 4*i**2 + 3*i**2 + s*i**4 = 0. Calculate i.
-1/4, 0, 1
Let z = 243 + -1206/5. Factor -3/5*q**2 - 6/5 - z*q.
-3*(q + 1)*(q + 2)/5
Factor c**2 - 1 + 2 - 1.
c**2
Let k(f) be the first derivative of 4/15*f - 2/45*f**3 + 6 + 1/15*f**2. Factor k(v).
-2*(v - 2)*(v + 1)/15
Let m(o) be the first derivative of -o**6/600 - o**5/150 - o**4/120 + o**2 - 3. Let d(g) be the second derivative of m(g). Factor d(k).
-k*(k + 1)**2/5
Let v(r) be the first derivative of -2/55*r**5 + 0*r**2 + 0*r - 2/33*r**3 - 1/11*r**4 - 5. What is h in v(h) = 0?
-1, 0
Let f = 1/81 - -103/405. Let l(n) be the second derivative of -4/5*n**2 + 2*n + 0 - f*n**3 - 1/30*n**4. Factor l(a).
-2*(a + 2)**2/5
Let t be ((-9)/(-105))/(7 + (-34)/5). Solve -6/7*c + t*c**2 + 3/7 = 0.
1
Determine h so that 8/11*h**2 + 6/11*h**5 - 8/11*h**4 - 4/11*h**3 - 2/11*h + 0 = 0.
-1, 0, 1/3, 1
Let -36/7*b**2 - 3/7*b**3 - 192/7 - 144/7*b = 0. What is b?
-4
Let t be 156/(-315) + 1/2. Let a(r) be the third derivative of 1/672*r**8 + 0*r**5 + 0*r**3 + 2*r**2 + 0 + 0*r**4 + 1/240*r**6 + t*r**7 + 0*r. Factor a(b).
b**3*(b + 1)**2/2
Let v = -31 + 34. Let z(f) be the first derivative of -1/4*f**v - 1/2*f + 2 - 5/8*f**2. Determine a, given that z(a) = 0.
-1, -2/3
Suppose 0 = -4*d + 10 + 6. Suppose 4*f - f = 0. Suppose -2*k**2 + 2*k**3 + 2*k**d - 3*k + k + f*k = 0. What is k?
-1, 0, 1
Let a(h) = -h**3 + 3*h**2 - h - 2. Suppose -5*x - 2 = -4*p + 11, 4 = -4*x. Let g be a(p). Factor -2*i**4 + 5*i**5 + g*i**5 - 3*i**5.
2*i**4*(i - 1)
Let t be 44/14 - 27/9. Factor 0*x**3 + 0 - 1/7*x**2 + t*x**4 + 0*x.
x**2*(x - 1)*(x + 1)/7
Factor f - 4/5 - 1/5*f**2.
-(f - 4)*(f - 1)/5
Let 9/2*i**2 + 5/2*i**4 - i - 6*i**3 + 0 = 0. What is i?
0, 2/5, 1
What is m in 1/5*m**2 - 3/5*m + 2/5 = 0?
1, 2
Let j be (-36)/(-8)*(-2)/(-5). Factor -j*m**2 + 3*m - 6/5.
-3*(m - 1)*(3*m - 2)/5
Let a(b) = -b**2 - b + 23. Let m be a(-5). Let n(i) be the third derivative of -1/5*i**5 - m*i**2 + 0 - 8/3*i**3 + 1/60*i**6 + 0*i + i**4. Factor n(x).
2*(x - 2)**3
Factor 5*p**3 - 5*p**5 - 53 + 28 + 25.
-5*p**3*(p - 1)*(p + 1)
Let d(w) be the first derivative of -w**4/12 + w**2/6 - 2. What is b in d(b) = 0?
-1, 0, 1
Let h be (-319)/(-116) - 6/8. Factor -2/7*b**h + 0 + 2/7*b.
-2*b*(b - 1)/7
Factor 0*v + 9/4*v**4 + 0 + 1/2*v**2 - 11/4*v**3.
v**2*(v - 1)*(9*v - 2)/4
Let h(r) = 6*r**2 + r + 2. Let f(l) = l**2. Let g(a) = -5*f(a) + h(a). Let j be g(0). Find d, given that -2*d**3 + d - d - 2*d**j = 0.
-1, 0
Let n(g) be the first derivative of -g**4/28 - 4*g**3/21 - 3*g**2/14 + 4. Let n(f) = 0. What is f?
-3, -1, 0
Suppose x + 0 - 3 = 0. Let l be (-2 - (-3 + x)) + 5. Find t such that -56/9*t - 8/9 + 98/9*t**4 + 56/9*t**l - 10*t**2 = 0.
-1, -2/7, 1
Let n(o) = -o**5 + o**2 - 1. Suppose 7*l - 2*l = 10. Let i(j) = j**3 + 3 - l + 0 - j**4. Let w(h) = -2*i(h) - 2*n(h). Solve w(f) = 0 for f.
-1, 0, 1
Let d(z) be the second derivative of z**8/672 + z**7/140 + z**6/80 + z**5/120 - 3*z**2/2 - z. Let x(k) be the first derivative of d(k). Factor x(q).
q**2*(q + 1)**3/2
Let t(f) be the second derivative of 3*f**5/100 - f**3/10 + f. Factor t(d).
3*d*(d - 1)*(d + 1)/5
Let o(a) = -3*a - 2. Let p be o(-2). Suppose -9*y - 42*y**p + 48*y**2 + y**3 + 8*y**3 - 9 + 3 = 0. What is y?
-1, -2/7, 1/2, 1
Let y(x) be the first derivative of x**6/180 - x**5/60 - x**4/6 - x**3 - 5. Let h(o) be the third derivative of y(o). Suppose h(j) = 0. What is j?
-1, 2
Suppose -2 + 7 = j, -99 = 4*p + j. Let u be p/56 - (-3)/4. Factor u + 2/7*q**2 - 4/7*q.
2*(q - 1)**2/7
Let l(n) = n - 5. Let i be l(7). Let b + 2*b**2 - 2*b**i + b**2 = 0. What is b?
-1, 0
Let h(s) be the second derivative of -3*s**5/5 - 4*s**4/3 + 10*s**3/3 + 4*s**2 - 2*s. Factor h(j).
-4*(j - 1)*(j + 2)*(3*j + 1)
Let y be (-40)/(-3)*(0 + (-4)/(-16)). Find f such that 8/3*f**2 - 2/3*f**3 + 4/3 - y*f = 0.
1, 2
Factor -2*f**2 - 2 + 8 - 4*f - 8.
-2*(f + 1)**2
Let k(i) = -2*i**2 - 17*i - 19. Let p be k(-7). Determine w so that 4/11*w**3 - 10/11*w**4 - 4/11*w + 0 + 10/11*w**p = 0.
-1, 0, 2/5, 1
Let s(r) = 6*r**2 - 7*r - 1. Let t(z) = -z**2 + 1. Let l(i) = -s(i) - 5*t(i). Let y be l(6). Solve 4*m**y - 6*m**2 - 3 - 4*m + 1 = 0.
-1
Let m(d) be the first derivative of 1/4*d**2 + 0*d + 1/6*d**3 + 2. Solve m(c) = 0.
-1, 0
Let t(y) = -y - 5. Let m be t(4). Let k be 18/12*(-8)/m. Factor -u**2 + 0*u - 1/3*u**3 + k.
-(u - 1)*(u + 2)**2/3
Let n(b) be the third derivative of -2*b**6/195 + 2*b**5/65 - b**4/26 + b**3/39 + 2*b**2. Determine t so that n(t) = 0.
1/2
Let a(u) be the third derivative of -u**8/5040 + u**6/1080 + 2*u**3/3 - u**2. Let p(s) be the first derivative of a(s). Factor p(j).
-j**2*(j - 1)*(j + 1)/3
Let c be 2/(-8) - (22/8 + -3). D