 1)**2*(y + 2)
Let n(s) be the second derivative of 2/15*s**6 + 0*s**3 + 0*s**4 + 0*s**2 + 0 + 9*s + 2/5*s**5. Factor n(l).
4*l**3*(l + 2)
Let l = -24 - -26. Solve -85*k**2 + 181*k**l - 4*k**3 - 16 - 32*k - 116*k**2 = 0.
-2, -1
Suppose -2*x = 15 - 17. Suppose -5*z - 25 = -5*u, -u + 0*z = 2*z + x. Factor -u*v - 8*v**2 + 3*v + 5*v**2 + v**3 + 4.
(v - 2)**2*(v + 1)
Suppose 232*h = 371*h - 556. Let -1/2*x**2 + h + x = 0. Calculate x.
-2, 4
Solve -2/5*l**2 - 12/5*l + 32/5 = 0.
-8, 2
Let h(v) be the third derivative of v**7/210 - 3*v**6/40 - 11*v**5/30 - 393*v**2. Factor h(j).
j**2*(j - 11)*(j + 2)
Let a(c) = -4*c**4 - 21*c**3 + 131*c**2 - 120*c + 2. Let h(m) = 63*m**4 + 336*m**3 - 2097*m**2 + 1917*m - 33. Let k(r) = 33*a(r) + 2*h(r). Factor k(d).
-3*d*(d - 2)*(d + 7)*(2*d - 3)
Let c(u) be the second derivative of -u**6/180 - u**5/15 - u**4/3 - 2*u**3 + 3*u**2/2 - u + 13. Let s(y) be the second derivative of c(y). Factor s(w).
-2*(w + 2)**2
Let a be 16 - ((-5 - -3) + 4). Let j be 18/a - (-4)/24*-6. Factor j*p + 4/7*p**2 + 2/7*p**3 + 0.
2*p*(p + 1)**2/7
Let a(k) = -k**2 - 9*k + 2. Suppose 4*d - q + 31 = 0, 2*d - q - 7 = 4*q. Let i be a(d). Solve 4*n**i + 112 + 4*n - 112 = 0.
-1, 0
Let o be (10/(-2) - -1)*(-9)/(-4). Let n(b) = 33*b**2 - 20*b - 4. Let l(k) = -8*k**2 + 5*k + 1. Let f(c) = o*l(c) - 2*n(c). Factor f(t).
(t - 1)*(6*t + 1)
Suppose 12 = -3*x + 7*x. Factor -2*j**2 + 3*j**3 - 9*j**3 + 5*j**x + 2 + j.
-(j - 1)*(j + 1)*(j + 2)
Let k(u) = 6*u**2 - 10*u + 7. Let x be k(1). Let p(b) be the second derivative of 0*b**2 + 0 - 1/16*b**4 - 1/8*b**x - 3*b. Suppose p(h) = 0. What is h?
-1, 0
Let m(k) be the second derivative of k**7/21 + 2*k**6/15 - 13*k**5/10 + 5*k**4/3 - 3*k + 4. What is y in m(y) = 0?
-5, 0, 1, 2
Let g(o) be the first derivative of 0*o**2 - 1 + 0*o - 5/4*o**4 + 20/3*o**3. Suppose g(p) = 0. Calculate p.
0, 4
Let g(v) be the second derivative of -v**6/270 + 2*v**5/45 - 11*v**4/54 + 4*v**3/9 - v**2/2 - 52*v. Find m such that g(m) = 0.
1, 3
Let m = 93 + -277/3. Let p(a) be the second derivative of 3*a + 2*a**2 + 0 - m*a**3 + 1/5*a**5 - 1/3*a**4. Factor p(h).
4*(h - 1)**2*(h + 1)
Let r(g) = 28*g**3 - 3*g**2 - 3. Let p(f) = -164*f**3 + 18*f**2 + 17. Let o(h) = 6*p(h) + 34*r(h). Determine u, given that o(u) = 0.
0, 3/16
Suppose 4*r + 11 = -3*y, -4*y + 11*r = 10*r - 17. Let x be 3 + (26/(-39) - 1/y). Factor -2/11*n**3 + 0*n + 0 - 4/11*n**x.
-2*n**2*(n + 2)/11
Suppose 4*a + 5*p = -14, 4*a - 8*p - 95 = -31. Let -3/2*i**2 + 15/4*i - 3*i**3 - 3/4*i**5 + 3*i**a - 3/2 = 0. What is i?
-1, 1, 2
Let m(z) be the second derivative of 0*z**2 + 0 + 11*z + 1/48*z**4 - 1/24*z**3. Factor m(u).
u*(u - 1)/4
Let n be 34/10 + 12/20. Suppose -n*w = -w. Factor -t**4 + w*t**2 - t**3 - t**2 + 3*t**3.
-t**2*(t - 1)**2
Suppose 0 = 3*s - y - 64, -y = 5*s - 3*y - 105. Let c(t) = -t**3 + 22*t**2 + 23*t + 3. Let h be c(s). Factor 0*b**h + 0 + 0*b - 2/7*b**2 + 2/7*b**4.
2*b**2*(b - 1)*(b + 1)/7
Suppose -2*g + 0 - 4 = -p, -3*g + 85 = 5*p. Factor p*d**4 + 394*d**5 - 3*d**4 - 6*d**3 - 397*d**5.
-d**3*(d - 3)*(3*d - 2)
Find f such that -9/8*f + 9/8*f**3 - 3/4*f**4 + 3/8 + 3/8*f**2 = 0.
-1, 1/2, 1
Let r be 59/118*(-11 + 2)/(-3). Let v be 5/4 - 1/(-4). Solve -3*i**3 + 0 + v*i**2 + 0*i + r*i**4 = 0 for i.
0, 1
Determine g so that 22*g**4 + 30*g**4 + 18*g**2 + 22*g**3 - 20*g**4 + 2*g + 26*g**3 = 0.
-1, -1/4, 0
Let a = -63/2 + 379/12. Let l(s) be the second derivative of -a*s**3 + 0 - 5*s + 0*s**5 - 1/12*s**4 + 1/84*s**7 + 0*s**2 + 1/30*s**6. Factor l(m).
m*(m - 1)*(m + 1)**3/2
Let j = 52189 - 52185. What is q in 2/3*q**5 - 2/3*q**3 + 0*q + 0 + 2/3*q**2 - 2/3*q**j = 0?
-1, 0, 1
Factor 59 + 39*x - 57*x - 2*x**2 - 59.
-2*x*(x + 9)
Let v(m) = 2*m**3 - m + 2 - 5*m + 4*m + m**2. Let y be v(1). Determine d so that 8*d**3 + d - d + 4*d + 6*d**2 - 6*d**y = 0.
-2, -1, 0
Factor -178*q**3 + 5*q**4 - 32*q + 540*q**3 - 44*q**2 + 64 - 175*q**3 - q**5 - 179*q**3.
-(q - 4)**2*(q - 1)*(q + 2)**2
Let o be ((-3)/(-66 + 3))/(57/342). Let 4/7*v**4 - 4/7*v**2 + 0*v**3 - 2/7*v + o*v**5 + 0 = 0. Calculate v.
-1, 0, 1
Suppose -2*w - 45 - 27 = -2*h, 4*h - 2*w - 136 = 0. Suppose -34*p + h*p = 0. Factor 11/2*a**2 + p - 5/2*a**3 - a.
-a*(a - 2)*(5*a - 1)/2
Suppose 3 = -5*w + 2*z - z, 0 = 5*w - 4*z + 12. Suppose 0 + w*x - 14/3*x**2 + 2/3*x**3 = 0. What is x?
0, 7
Suppose -19697*h = -19696*h. Factor h*x + 0 - 2/9*x**3 + 2/9*x**2.
-2*x**2*(x - 1)/9
Let z = 0 - 5. Let g be 7/z - (-12)/4. What is x in 154/5*x**2 + g - 98/5*x**3 - 64/5*x = 0?
2/7, 1
Factor -4/3*v - 1/3*v**2 + 5/3.
-(v - 1)*(v + 5)/3
What is d in -5705*d + 5705*d + 72*d**2 - 3*d**3 = 0?
0, 24
Determine u so that 0*u + 0 - 17/2*u**4 + 7/2*u**3 + 4*u**2 + u**5 = 0.
-1/2, 0, 1, 8
Let h(u) = -19*u**5 + 115*u**4 - 96*u**3 - 31*u**2 + 34. Let r(q) = 3*q**5 - 19*q**4 + 16*q**3 + 5*q**2 - 6. Let j(p) = -6*h(p) - 34*r(p). Factor j(x).
4*x**2*(x - 2)**2*(3*x + 1)
Let s(c) be the second derivative of 3*c**6/80 - 3*c**5/40 - 37*c**4/32 + 7*c**3/8 + 9*c**2/2 + 12*c + 2. Let s(m) = 0. What is m?
-3, -2/3, 1, 4
Suppose 9*i**2 + 619*i**2 + 272*i**2 - 1020*i**3 + 124*i**4 - 4*i**5 = 0. What is i?
0, 1, 15
Let w(g) be the second derivative of -2*g**7/189 + 2*g**6/45 - g**5/45 - g**4/9 + 4*g**3/27 + 11*g + 6. Find s such that w(s) = 0.
-1, 0, 1, 2
Let i(c) be the third derivative of 2*c**7/525 + 4*c**6/75 + 2*c**5/25 - 4*c**4/15 - 14*c**3/15 - 9*c**2 + 22. Factor i(h).
4*(h - 1)*(h + 1)**2*(h + 7)/5
Let q(t) be the second derivative of -t**7/21 + t**6/15 + 3*t**5 + 38*t**4/3 + 56*t**3/3 - 119*t + 1. Let q(s) = 0. What is s?
-2, 0, 7
Let q(t) be the third derivative of t**8/2688 - t**7/420 + t**5/30 - t**4/12 + 161*t**2. Factor q(g).
g*(g - 2)**3*(g + 2)/8
Suppose 0 = 2*r - 4*r + 16. Suppose -m = -2*m - 2*u - 2, 0 = m + 4*u + r. Suppose -50*d**2 + 48*d**2 + 2*d**3 + 2*d**m + 0*d**3 - 2*d = 0. What is d?
-1, 0, 1
Let z(d) = -2*d**2 + 14*d + 2. Let f be z(0). Let t(m) be the second derivative of 1/18*m**4 + 0 + 4/9*m**3 - 1/30*m**5 - f*m - 4/3*m**2. Factor t(c).
-2*(c - 2)*(c - 1)*(c + 2)/3
Factor 20/3*w**4 + 0*w**2 - 20/3*w**3 + 0 - 5/3*w**5 + 0*w.
-5*w**3*(w - 2)**2/3
Find q such that 114 + 9*q**3 - 151*q + 126 + 63*q**2 - 12*q**3 - 101*q + 9*q**2 = 0.
2, 20
Let d(a) = a + 4. Let p be d(-1). Determine m, given that -15*m**2 + 9*m**3 - 12*m**3 - 5*m**4 - 5*m - 12*m**p = 0.
-1, 0
Let y(n) be the second derivative of -6*n + 5/12*n**4 + 5/3*n**3 - 15/2*n**2 + 0. Solve y(g) = 0 for g.
-3, 1
Suppose -4*i = -2*l + 20, -19 = -7*l - i - 2*i. Let f(k) be the first derivative of 4/3*k**3 - 8 + l*k + 4*k**2. Determine m, given that f(m) = 0.
-1
Determine w so that 2*w**5 + 16*w**5 - w + w + 2*w**3 - 17*w**5 + 3*w**4 = 0.
-2, -1, 0
Suppose 39/7*o - 18/7 - 1/7*o**4 + 9/7*o**3 - 29/7*o**2 = 0. Calculate o.
1, 2, 3
Suppose -50*x = -287 + 87. Let -9/7*p**2 + 0 - 39/7*p**3 - 12/7*p**5 - 48/7*p**x + 0*p = 0. Calculate p.
-3, -1/2, 0
Let 92/9 - 14/3*y - 2/9*y**2 = 0. Calculate y.
-23, 2
Let s = 267/20 - 66/5. Let m(c) be the first derivative of -7 + 1/4*c**3 - 3/8*c**4 + 0*c**2 + 0*c + s*c**5. Solve m(o) = 0 for o.
0, 1
Suppose 0 = -5*p + 2*z - 4, -2*z = -3*p + p + 2. Let i be (p/(-7))/(2/14). Factor 2*q - i*q - 3*q**2 + 9*q - 6.
-3*(q - 2)*(q - 1)
Let a = -160 - -162. Let q(h) be the second derivative of -3/4*h**5 + 0*h**3 - 6*h + 1/2*h**4 + 0 + 0*h**a. Factor q(d).
-3*d**2*(5*d - 2)
What is v in 5 + 8 + 35*v + 22 + 5 - 426*v**2 + 421*v**2 = 0?
-1, 8
Let q(l) be the second derivative of l**7/105 - 8*l**6/75 + 23*l**5/50 - 14*l**4/15 + 4*l**3/5 + 59*l. Let q(i) = 0. What is i?
0, 1, 2, 3
Suppose 0 = -5*a + f + 1 + 19, -4*a - 2*f + 30 = 0. Suppose -a*d = 4*q - 28, -d - 3*q = -q - 2. Find z, given that d*z**2 - 5*z**2 - 5 + 2*z**2 = 0.
-1, 1
Let h(a) be the third derivative of -a**11/776160 - a**10/117600 - 11*a**5/30 + 4*a**2. Let p(z) be the third derivative of h(z). Factor p(w).
-3*w**4*(w + 3)/7
Let w(q) be the first derivative of 0*q + 20/27*q**3 + 13/18*q**4 + 7/45*q**5 + 31 - 4/9*q**2. Suppose w(x) = 0. What is x?
-2, 0, 2/7
Let h(b) be the first derivative of 5/4*b**4 + 5/3*b**3 + 0*b + 13 - 5*b**2. Let h(o) = 0. Calculate o.
-2, 0, 1
Factor 56/13*d**2 + 2/13*d**5 + 16/13*d**4 + 34/13*d + 44/13*d**3 + 8/13.
2*(d + 1)**4*(d + 4)/13
Let z(j) be the first derivative of -j**6/9 + 4*j