Suppose 7*d - 3*d - 8 = 0. Factor 4 - 5*i + 3*i - 4*i + 2*i**d.
2*(i - 2)*(i - 1)
Let j(p) be the first derivative of 0*p**3 + 0*p - 1/15*p**5 + 1 - 1/12*p**4 + 0*p**2. Factor j(f).
-f**3*(f + 1)/3
Let q be ((-1)/((-2)/1)*-2)/(-3). Factor 1/3*c**3 + q + c**2 + c.
(c + 1)**3/3
Let v(r) = 28*r**2 + 60*r + 32. Let f(u) = u**3 + 29*u**2 + 61*u + 33. Let k(w) = 4*f(w) - 6*v(w). Solve k(p) = 0.
-1, 15
Let 2/9*s**2 + 0 - 2/9*s**4 - 4/9*s + 2/3*s**3 - 2/9*s**5 = 0. Calculate s.
-2, -1, 0, 1
Suppose -2*y - v = -13, 3*v = -2*y + 8*v - 5. Let a = 8 - y. Find d such that -d**2 - 2*d + 3*d - a*d**3 + 2*d**3 + d**4 = 0.
-1, 0, 1
Factor 0*r - 74*r**2 + 76*r**2 + 6*r.
2*r*(r + 3)
Let i(a) = -9*a**2 - 5*a - 1. Let o(c) = -5*c**2 + 15*c + 19*c**2 - 7*c + 2. Let b = 17 + -9. Let k(q) = b*i(q) + 5*o(q). Solve k(z) = 0.
-1, 1
Let u be (-2)/7 + 3930/35. Suppose u*m + 3*m**2 - 112*m = 0. What is m?
0
Let i(h) be the third derivative of -h**7/42 - 5*h**6/24 - 3*h**5/4 - 35*h**4/24 - 5*h**3/3 + 4*h**2. Factor i(d).
-5*(d + 1)**3*(d + 2)
Let l(m) = -4*m**2 - 2. Let w(p) = -p**2. Let b = -2 - -6. Suppose -2*z = -t, 2*z + b*t + 13 = -3*z. Let j(x) = z*l(x) + 6*w(x). Find h such that j(h) = 0.
-1, 1
Factor -3*m**2 - 6*m - 12*m**3 + 2*m**3 + 13*m**3.
3*m*(m - 2)*(m + 1)
Factor 3/5*j - 6/5*j**4 + 0 - 12/5*j**2 + 3*j**3.
-3*j*(j - 1)**2*(2*j - 1)/5
Let k(m) be the first derivative of -m**5/5 + m**4/2 - m**2 + m - 1. Suppose k(j) = 0. What is j?
-1, 1
Let i = 71 - 67. Let p(l) be the second derivative of -l + 0*l**2 + 0 - 1/6*l**i - 1/12*l**3. Factor p(f).
-f*(4*f + 1)/2
Suppose 5*o = -1 + 16. Factor -4/3*x**o - 5/3*x**4 - 2/3*x**5 + 0 + 0*x - 1/3*x**2.
-x**2*(x + 1)**2*(2*x + 1)/3
Let z be 4/70*(-1 + 344/24). Let i(b) be the first derivative of 1/7*b**4 + 2/7*b + 2/5*b**5 - 4/21*b**6 + 2/7*b**2 + 1 - z*b**3. Let i(p) = 0. What is p?
-1, -1/4, 1
Let h(b) be the first derivative of b**5/30 - b**4/6 - 2*b**2 - 3. Let g(z) be the second derivative of h(z). Solve g(v) = 0.
0, 2
Let p(r) be the second derivative of 1/20*r**5 - 1/12*r**4 + 0 + 0*r**2 - 4*r + 1/18*r**3 - 1/90*r**6. Factor p(m).
-m*(m - 1)**3/3
Factor 40*z**3 + 6*z**5 - 20*z**4 - 14*z**4 - 6*z**2 + 2*z**5 - 2*z**2.
2*z**2*(z - 2)**2*(4*z - 1)
Let s(n) be the second derivative of -25*n**7/98 + 3*n**6/7 + 333*n**5/140 + 17*n**4/7 + 6*n**3/7 - 26*n. Suppose s(l) = 0. What is l?
-1, -2/5, 0, 3
Let f be -2 + (432/(-20))/(-9). Suppose f*o - 4/5 + 2/5*o**2 = 0. What is o?
-2, 1
Factor 1/4*x**5 + 0*x - 5/4*x**4 - 3/4*x**2 + 0 + 7/4*x**3.
x**2*(x - 3)*(x - 1)**2/4
Let j(y) = -2*y - 12. Let r be j(-9). Suppose -r*s + s = -10. Suppose -4*a**3 + a**3 + 1 + s*a**3 - 3*a + 0*a + 3*a**2 = 0. What is a?
1
Factor 6/5*n**3 + 0 - 6/5*n**4 + 0*n + 2/5*n**5 - 2/5*n**2.
2*n**2*(n - 1)**3/5
Let n = -2 + 4. Find o such that -o**2 - 1 - 2*o**2 + 0 - 6*o - n = 0.
-1
Let b(t) be the first derivative of -25*t**6/6 - 12*t**5 - 45*t**4/4 - 10*t**3/3 - 49. Factor b(l).
-5*l**2*(l + 1)**2*(5*l + 2)
Let l(z) = -8*z - 22*z + 12*z**2 - 7 + 2*z**3 + 34. Let s(f) = -3*f**3 - 13*f**2 + 31*f - 27. Let b(h) = -4*l(h) - 3*s(h). Factor b(w).
(w - 3)**3
Let z(u) be the first derivative of -3*u**5/25 + 9*u**4/10 - 9*u**3/5 + 27. Suppose z(x) = 0. Calculate x.
0, 3
Factor 8*p - 14 + 5*p**2 + 12 + 10 - 3*p**2.
2*(p + 2)**2
Let x(p) = p**2 + 4*p + 3. Suppose 0 = 5*l + 20. Let t be x(l). Factor 6*n**4 + 15/2*n**3 + 3/2*n**5 + t*n**2 + 0 + 0*n.
3*n**2*(n + 1)**2*(n + 2)/2
Let k = 37 + -25. Factor k*r - 15*r**2 - 5*r**3 + 11*r**3 + 1 - 4.
3*(r - 1)**2*(2*r - 1)
Let t(j) be the third derivative of -1/30*j**7 + 1/12*j**4 + 0*j**3 + 0 + 0*j - 2*j**2 - 1/40*j**6 + 1/20*j**5 - 1/112*j**8. Factor t(m).
-m*(m + 1)**3*(3*m - 2)
Let u(b) be the third derivative of -b**7/1155 - b**6/165 - b**5/55 - b**4/33 - b**3/33 - 14*b**2. Factor u(d).
-2*(d + 1)**4/11
Let n(o) = 5*o**3 + 25*o**2 + 10*o - 10. Let l(d) = -d + 1. Let j(b) = 10*l(b) + n(b). Determine i so that j(i) = 0.
-5, 0
Suppose 2/5 - 3/5*s + 1/5*s**2 = 0. What is s?
1, 2
Let s be (-1)/5 - (-1812)/60. Let t be (-4)/12 - (-58)/s. Suppose 6/5*b**2 + t*b + 2/5 = 0. Calculate b.
-1, -1/3
Let h(u) be the first derivative of -u**5/20 + u**3/6 + u - 7. Let x(z) be the first derivative of h(z). Factor x(b).
-b*(b - 1)*(b + 1)
Let f(i) = i**4 + i**3 - i**2 + 1. Let h(v) = -5*v**5 - 13*v**4 - 3*v**3 + 13*v**2 + 5*v - 3. Let c(j) = 3*f(j) + h(j). Factor c(z).
-5*z*(z - 1)*(z + 1)**3
Let f = 11 + -7. Factor -2*z**3 + z - z - 3*z**f + 2*z + 4*z**2 - z**4.
-2*z*(z - 1)*(z + 1)*(2*z + 1)
Let r be 8/4*1*1. Suppose -n + 2 = -2*k - 0, 0 = r*k - 2*n + 4. Factor -343/3*x**5 - 92/3*x**2 - 8/3*x - 637/3*x**4 + k - 126*x**3.
-x*(x + 1)*(7*x + 2)**3/3
Let y(f) = -2 + 1 - 2 + 2*f**2 + 7*f - f**2. Let m be y(-8). Factor 1 + m*n**2 + 9/2*n.
(2*n + 1)*(5*n + 2)/2
Let u(i) be the second derivative of i**7/126 - i**5/60 - 3*i. What is y in u(y) = 0?
-1, 0, 1
Factor 0 + 1/5*k**2 - 1/5*k.
k*(k - 1)/5
Let w(l) = -l**3 + l**2 - 1. Let p(y) = 2*y**3 + 22*y**2 - 60*y + 42. Let x(h) = -p(h) - 6*w(h). Factor x(m).
4*(m - 3)**2*(m - 1)
Let t be (2 + -1)*4 - 40/12. Let b(j) be the first derivative of 1 + 0*j**3 - 1/2*j**2 + 1/12*j**4 + t*j. Determine a so that b(a) = 0.
-2, 1
Let r(l) be the second derivative of 3*l**5/4 + 3*l**4/4 - l**3 - 11*l. Suppose r(z) = 0. Calculate z.
-1, 0, 2/5
Suppose -3*y + 9 = -5*s + 3, 2 = y + s. Find l, given that 0 - l - 1/2*l**y = 0.
-2, 0
Let u(q) be the second derivative of q**7/280 + 7*q**6/720 - q**4/48 + q**3/3 + 3*q. Let b(f) be the second derivative of u(f). Factor b(m).
(m + 1)*(2*m + 1)*(3*m - 1)/2
Suppose -5*l = 5*g - 50, 0 = -l + 5*l - 4*g. Suppose -2*i - 2*i = l*x - 12, -9 = -5*x - 3*i. Factor -1/4*p + x + 1/4*p**2.
p*(p - 1)/4
Let w(h) be the second derivative of 3*h**5/20 - h**4/2 - h**3/2 + 3*h**2 - 4*h. Find y such that w(y) = 0.
-1, 1, 2
Let y(a) be the first derivative of -a**7/630 - a**6/180 - a**5/180 - 3*a**2 + 1. Let j(d) be the second derivative of y(d). Let j(x) = 0. Calculate x.
-1, 0
Let k(t) be the first derivative of 2/21*t**3 + 4/7*t**2 + 8/7*t - 4. Factor k(s).
2*(s + 2)**2/7
Factor 2/11*l - 2/11*l**3 + 2/11*l**2 + 0 - 2/11*l**4.
-2*l*(l - 1)*(l + 1)**2/11
Let s be (1 + 2/(-10))/(22/55). Let -8/9*u**3 - 94/9*u**4 + 22/9*u**s - 4/9*u + 28/3*u**5 + 0 = 0. What is u?
-1/2, 0, 2/7, 1/3, 1
Let f(q) be the third derivative of -q**7/525 + q**6/75 - q**5/75 - q**4/15 + q**3/5 + 10*q**2. Solve f(n) = 0.
-1, 1, 3
Let r(c) be the first derivative of 81*c**5/4 - 225*c**4/16 - 40*c**3/3 - 5*c**2/2 - 17. Suppose r(s) = 0. What is s?
-2/9, 0, 1
Let z = -22 - -33. Let w = z + -8. Find n, given that -2/7*n**4 + 0 + 0*n + 0*n**2 - 2/7*n**w = 0.
-1, 0
Suppose 0 = 2*z + 3*x - 4*x - 19, -3*z - 5*x = -61. Let p = z + -10. Determine r so that 1/3*r**5 + 2/3*r**p - 4/3*r**4 + 2/3 + 4/3*r**3 - 5/3*r = 0.
-1, 1, 2
Let f(t) be the second derivative of -4*t + 0*t**3 + 1/49*t**7 + 0 + 0*t**2 - 1/21*t**4 + 2/105*t**6 - 3/70*t**5. Let f(k) = 0. What is k?
-1, -2/3, 0, 1
Let n(x) be the first derivative of 4*x**3/15 + x**2 + 4*x/5 + 13. Factor n(h).
2*(h + 2)*(2*h + 1)/5
Let u(j) be the first derivative of -1/4*j**2 - 3 - 1/3*j**3 + j + 1/8*j**4. Solve u(c) = 0 for c.
-1, 1, 2
Let y be (1 + (-70)/30)*6/(-4). Factor 2/5*n**3 + 54/5 + 54/5*n + 18/5*n**y.
2*(n + 3)**3/5
Let b(c) = -c**2 - 6*c + 2. Let z be b(-6). Suppose v**2 + 9*v**2 + 7*v**z - 1 - 16*v**2 = 0. What is v?
-1, 1
Let l(s) = 2*s**3 + 6*s**2 - 2*s - 2. Let v = 3 - 7. Let q(w) = w**2 + 1. Let u(i) = v*q(i) + 2*l(i). Let u(c) = 0. What is c?
-2, -1, 1
Let 0 + j**2 - 1/4*j**3 - 3/4*j = 0. Calculate j.
0, 1, 3
Let m(x) = -x**3 + 7*x**2 - 8*x - 10. Let t be m(3). Solve 2/15*a**t + 0 + 2/15*a**4 + 0*a - 4/15*a**3 = 0 for a.
0, 1
Let j(x) be the first derivative of -1/3*x**3 - 1/16*x**4 + 5 + 0*x - 1/2*x**2. Let j(a) = 0. Calculate a.
-2, 0
Let l be (0 + 1/2)/((-6)/(-8)). Let k(i) be the second derivative of 0 - 1/6*i**4 + 2*i - l*i**3 + 0*i**2. Factor k(c).
-2*c*(c + 2)
Let c = 5 - 9. Let p be c/12*1*-6. Factor 1/2*z + p*z**3 - 7/4*z**2 - 3/4*z**4 + 0.
-z*(z - 1)**2*(3*z - 2)/4
Let q = 1621/2 + -810. Factor -q*u + 1/2*u**2 + 0 + 1/2*u**3 - 1/2*u**4.
-u*(u - 1)**2*(u + 1)/2
Let k(m) = -m**3 + 4*m**2 - m - 6. Let x be k(3). Suppose 12 = -x*t + 6*t. What is f in 2/3*f - 