 - 1)**3*(i + 1)**2/5
Factor -5*r**3 + 17*r**4 - 10*r**2 - 5*r**3 - 1 - 5*r**5 - 4 + 15*r - 2*r**4.
-5*(r - 1)**4*(r + 1)
Suppose 2*c = 5*c - 15. Let u(w) be the second derivative of -1/6*w**4 + 0 + 0*w**c - 3*w + 1/42*w**7 + 1/15*w**6 + 0*w**2 - 1/6*w**3. Factor u(f).
f*(f - 1)*(f + 1)**3
Let p be ((-1 - 4) + -93)/(1 - 10). Suppose -8/9 + p*m**4 - 56/9*m - 10*m**2 + 56/9*m**3 = 0. What is m?
-1, -2/7, 1
Let h be (1 + -2 - -1)*(-11)/22. Suppose 7*v + 3*j = 3*v - 3, -3*j - 3 = 2*v. Determine l so that 0 + 0*l**2 + v*l**3 + h*l - 2/3*l**4 = 0.
0
Let n(b) be the second derivative of b**6/20 - 3*b**5/40 - b**4/8 + b**3/4 - 12*b. Factor n(f).
3*f*(f - 1)**2*(f + 1)/2
Determine q so that -3*q**5 + 70*q**2 - 70*q**2 - 12*q + 15*q**3 = 0.
-2, -1, 0, 1, 2
Suppose 0*q - 3*q = 0. Suppose q = g + 2*g - 6. Factor -1/3*j**3 + 4/3 - j**g + 0*j.
-(j - 1)*(j + 2)**2/3
Factor 6/7*h**2 - 4/7*h + 0 + 4/7*h**3.
2*h*(h + 2)*(2*h - 1)/7
Let i(k) be the first derivative of -1/4*k**4 - 4 + 1/18*k**6 + 4/9*k**3 + 2/3*k**2 + 0*k - 2/15*k**5. Factor i(d).
d*(d - 2)**2*(d + 1)**2/3
Factor -1 + 3/4*c**2 + c.
(c + 2)*(3*c - 2)/4
Let q be 5/20 - 3/(-6)*1. Solve q*n**2 - 1/4 - 1/2*n = 0.
-1/3, 1
Let n(l) be the third derivative of 0 + 1/180*l**5 + 0*l**3 + 5*l**2 + 1/360*l**6 + 0*l + 0*l**4. Find z such that n(z) = 0.
-1, 0
Let b(z) be the first derivative of 8 + 8/55*z**5 - 4/11*z + 5/11*z**2 - 1/33*z**6 - 2/11*z**4 - 4/33*z**3. Find t such that b(t) = 0.
-1, 1, 2
Determine u so that -9*u + 62*u**2 + 3*u**4 - 36*u**2 - 3*u**3 - 41*u**2 = 0.
-1, 0, 3
Let o(l) = -3*l - 4. Let s be o(-2). Let n(v) be the first derivative of v**s + v + 1/3*v**3 + 3. Factor n(r).
(r + 1)**2
Factor 13/3 + 1/3*u**3 + 11/3*u**2 - 25/3*u.
(u - 1)**2*(u + 13)/3
Let s(u) = -u**2 - 4*u - 3. Let j = -6 - -8. Suppose 0 = j*r - 4*r - 2. Let x(y) = -1. Let d(b) = r*x(b) - s(b). Factor d(m).
(m + 2)**2
Let r = 1 - -3. Let d = -1 + 3. Factor -4*g**2 - g - g + 2*g**3 - r + 10*g**2 - d*g**4.
-2*(g - 2)*(g - 1)*(g + 1)**2
Let y(d) = d**2 + d - 1. Let j(q) = -q**5 + 4*q**4 - 4*q**3 - 3*q**2 + 4*q - 1. Let u(t) = 2*j(t) + 2*y(t). Factor u(h).
-2*(h - 2)*(h - 1)**3*(h + 1)
Let u(p) be the third derivative of -p**8/23520 + p**7/8820 + p**4/12 - 4*p**2. Let t(d) be the second derivative of u(d). Factor t(c).
-2*c**2*(c - 1)/7
Solve -81 + 0*p + 3/4*p**3 + 27/4*p**2 = 0.
-6, 3
Find a such that -14/3*a**2 + 10/3*a**3 + 0 - 4/3*a + 8/3*a**4 = 0.
-2, -1/4, 0, 1
Let a(g) be the second derivative of g**7/735 + g**6/140 + g**5/105 + g**2/2 - 4*g. Let w(s) be the first derivative of a(s). What is v in w(v) = 0?
-2, -1, 0
Let g(o) be the second derivative of 28*o**5/45 - 19*o**4/9 + 8*o**2/9 - 11*o. Solve g(r) = 0.
-1/4, 2/7, 2
Let i = 23/145 - -6/145. Suppose -i*n**4 - 2/5*n + 1/5 + 2/5*n**3 + 0*n**2 = 0. Calculate n.
-1, 1
Let c(t) be the second derivative of t**5/20 - t**4/4 + 2*t**2 - 22*t. Suppose c(k) = 0. What is k?
-1, 2
Let q(r) be the second derivative of -1/15*r**5 + 0 + 1/45*r**6 - 2*r + 2/9*r**3 + 0*r**4 - 1/3*r**2. Let q(c) = 0. What is c?
-1, 1
Let a be 0 - 4*1/(-2). Factor 64 - v**a - 25*v - 11*v + 5*v**2 + 4*v.
4*(v - 4)**2
Find p such that -5 + 10 + 5*p**2 - 7 - 3 = 0.
-1, 1
Let i be ((-3)/(-9))/((-3)/9). Let r be 0 - (-4 - i) - 1. Determine c so that 4/3*c**3 + 2/3 - 2*c + 4/3*c**r - 2*c**4 + 2/3*c**5 = 0.
-1, 1
Let c(a) be the third derivative of -a**7/525 + a**6/150 - a**4/30 + a**3/15 - 3*a**2. Determine r so that c(r) = 0.
-1, 1
Suppose x = -4*m + 15, 3*x + 3 = -2*m + 6*x. Factor 2/5*o - 2/5 + 2/5*o**2 - 2/5*o**m.
-2*(o - 1)**2*(o + 1)/5
Suppose 2*b + 6 = 3*f + f, 0 = 5*f + b - 11. Find w, given that 16*w**2 + 10 - 52*w**f + 21*w**3 + 9*w - 4 = 0.
-2/7, 1
Let i(t) be the first derivative of t**3/3 + 1. Let i(u) = 0. Calculate u.
0
Let j(d) be the third derivative of d**6/120 - d**4/24 - 22*d**2. Factor j(o).
o*(o - 1)*(o + 1)
Let n(b) = 20*b**3 + 35*b**2 + b - 5. Let u(i) = -100*i**3 - 174*i**2 - 6*i + 26. Let q(l) = 14*n(l) + 3*u(l). Find p, given that q(p) = 0.
-1, 2/5
Let r be 10/(-20)*0/(2/(-2)). Factor r*p**2 + 0 + 2/5*p - 2/5*p**3.
-2*p*(p - 1)*(p + 1)/5
Factor -1/2*m**3 + 0*m**4 + 0*m + 1/2*m**5 + 0 + 0*m**2.
m**3*(m - 1)*(m + 1)/2
Let k(j) be the second derivative of -j**3/6 + j**2/2 - 5*j. Let y(u) = u**2 + 11*u - 12. Let r(a) = 22*k(a) + 2*y(a). Factor r(d).
2*(d - 1)*(d + 1)
Let c(a) be the second derivative of -a**7/21 + 3*a**5/10 - a**4/3 - 14*a. Factor c(y).
-2*y**2*(y - 1)**2*(y + 2)
Let f(q) be the second derivative of q**4/15 - 4*q**3/15 - 6*q**2/5 + 14*q. Find i, given that f(i) = 0.
-1, 3
Let i(c) be the second derivative of c**7/1260 - c**6/360 - c**5/30 - c**4/12 + 2*c. Let p(r) be the third derivative of i(r). Factor p(u).
2*(u - 2)*(u + 1)
Factor 2/5*w**3 - 2/5*w + 2/5*w**2 - 2/5.
2*(w - 1)*(w + 1)**2/5
Suppose -u + 2*u = 0. Let o = -63 + 67. Factor 2/5*v**o + u*v + 2/5*v**3 + 0*v**2 + 0.
2*v**3*(v + 1)/5
Suppose -5*o + 215 = 38*o. Suppose -2/13*r**o + 0*r + 2/13*r**4 - 2/13*r**2 + 0 + 2/13*r**3 = 0. Calculate r.
-1, 0, 1
Let x(z) be the third derivative of z**8/448 + 3*z**7/280 + z**6/120 - 2*z**3/3 - 4*z**2. Let a(f) be the first derivative of x(f). Solve a(p) = 0 for p.
-2, -2/5, 0
Let u = -609 + 611. Suppose 4/3*a**3 - 2/3*a**4 + 0*a**u - 4/3*a + 2/3 = 0. Calculate a.
-1, 1
Let d = -8 - -6. Let s be d/(-9) + (-14)/(-18). Factor 4*p**2 - 3 - 5*p**2 + s + 6*p - 7.
-(p - 3)**2
Let z(c) = -c. Let i be z(-2). Solve 1 + 5/2*y**4 + 3/2*y**3 - 3/2*y - 7/2*y**i = 0 for y.
-1, 2/5, 1
Let t(x) be the third derivative of x**6/1020 + x**5/1020 + 7*x**3/6 + 3*x**2. Let n(a) be the first derivative of t(a). Determine u so that n(u) = 0.
-1/3, 0
Let w be ((-3)/(-21) - 0) + 28/147. Let t(h) be the first derivative of -1/2*h**2 + 0*h - w*h**3 - 2. Factor t(b).
-b*(b + 1)
Let u(x) be the second derivative of 0 - 4/9*x**2 - 49/54*x**4 - 2*x + 28/27*x**3. Solve u(d) = 0.
2/7
Suppose -5*t - 2*r = -6*r - 18, 0 = 2*t - 3*r - 10. Factor -k**3 + k - 2*k + 0*k**3 + t*k.
-k*(k - 1)*(k + 1)
Let q(a) be the first derivative of a**5/20 + a**4/16 - 5*a**3/12 + 3*a**2/8 - 12. Suppose q(g) = 0. Calculate g.
-3, 0, 1
Let r = -9 + 10. Let d be ((-3)/3)/(r/(-2)). Factor 0 + 1/4*q + 1/2*q**d + 1/4*q**3.
q*(q + 1)**2/4
Suppose z - 10 + 3 = -2*j, 4*z + 2*j = 10. Suppose -2*m + z + 5 = 0. Factor 0 - 5 - 4*i - 2*i**2 + m.
-2*(i + 1)**2
Let s(j) = -j**2 - 2*j - 4. Let k be s(-3). Let y be 1/((21/(-2))/k). Determine z so that -2/3*z**2 + 2/3*z**4 + 0 + y*z - 2/3*z**3 = 0.
-1, 0, 1
Let q(k) = k**4 - k**2 + 1. Let v(t) = -2*t**5 + 2*t**4 + 4*t**3 + 4*t**2 - 4*t + 3. Let i(h) = 21*q(h) - 3*v(h). Let i(n) = 0. What is n?
-2, -1/2, 1
Let r(p) be the first derivative of 5*p**3/3 - 10*p**2 + 20*p - 13. Find a such that r(a) = 0.
2
Let k(v) be the third derivative of v**9/3024 - v**8/560 + v**7/280 - v**6/360 - v**3/6 - 3*v**2. Let u(y) be the first derivative of k(y). Factor u(t).
t**2*(t - 1)**3
Factor -3*y + 3 + 212*y**2 - 3 - 215*y**2.
-3*y*(y + 1)
Suppose 5 = 2*f + 1. Find m, given that -f*m**2 - 3*m + 2 - 10*m**3 + 12*m**3 + m = 0.
-1, 1
Let o = 69 - 69. Let z(k) be the first derivative of o*k**2 + 2/25*k**5 + 0*k**4 + 0*k + 4 - 2/15*k**3. Let z(p) = 0. What is p?
-1, 0, 1
Suppose 2*k + 3*k + 5*l - 90 = 0, -5*k + 122 = -3*l. What is z in -1 - 2*z**2 - z**2 + 21*z**3 - 3*z - k*z**3 = 0?
-1
Let k(s) be the first derivative of -4*s**3/3 + 2*s**2 + 3. Determine c, given that k(c) = 0.
0, 1
Let c(m) = m**3 + 4*m**2 + m + 2. Let f be c(-3). Suppose f = 5*w - 82. Factor w*k**2 + 45*k**2 - 13*k**2 - 40*k + 8.
2*(5*k - 2)**2
Let g be (((-25)/(-2))/5)/5. Let b(f) be the first derivative of -1 - f + g*f**2 - 1/12*f**3. Suppose b(m) = 0. What is m?
2
Solve -441/2*j**2 - 42*j - 2 = 0 for j.
-2/21
Let l = -59 + 59. Let r(q) be the second derivative of l*q**2 - 3*q + 1/6*q**4 + 0 + 0*q**3 + 2/5*q**5. Let r(y) = 0. Calculate y.
-1/4, 0
Let f(h) be the first derivative of h**7/1155 - h**5/110 + h**4/66 - 2*h**2 - 3. Let g(a) be the second derivative of f(a). Factor g(c).
2*c*(c - 1)**2*(c + 2)/11
Suppose -1 = -m + 4. Factor 2*f - 2*f**m - 16*f**4 + f**5 - f**5 - 4*f**5 - 12*f**3.
-2*f*(f + 1)**3*(3*f - 1)
Determine y so that 2*y**2 + 0 + 1/3*y**3 + 3*y = 0.
-3, 0
Suppose 0 = -3*i + 4*i + 5*y - 22, 0 = -4*i + 2*y. Solve 4/11 + 10/11*z 