 - 5*r**2. What is l in b(l) = 0?
-1, 0
Let x(m) be the third derivative of m**5/360 - 5*m**4/144 + m**3/6 - 175*m**2. Solve x(z) = 0 for z.
2, 3
Let y(i) be the second derivative of -i**5/5 + 5*i**4 - 2*i + 18. Suppose y(q) = 0. What is q?
0, 15
Let l(h) be the second derivative of 0*h**2 + 0*h**4 + 5*h - 1/150*h**5 + 0*h**3 + 0. Factor l(y).
-2*y**3/15
Let q(x) be the second derivative of x**5/5 + 4*x**4 - 2*x**3/3 - 24*x**2 + 42*x. Solve q(w) = 0.
-12, -1, 1
Determine u, given that 0 + 70/11*u**2 + 2/11*u**4 + 2*u**3 + 50/11*u = 0.
-5, -1, 0
Suppose 3*m**5 + 4*m**2 - 10*m**3 + 21*m**3 - 3*m**3 + 5*m**4 - 2*m**5 = 0. What is m?
-2, -1, 0
Let y be 4/(-6)*(0 + -3). Let 0*i + i - 10*i**3 + y*i**2 + 11*i**3 = 0. Calculate i.
-1, 0
What is c in 6*c - 2/3*c**2 + 6 - 2/3*c**3 = 0?
-3, -1, 3
Let h(w) = -3*w**3 - 3*w**2 - 48*w + 97*w - 43*w. Let c(t) = 3*t**3 + 3*t**2 - 6*t. Let z(s) = -5*c(s) - 4*h(s). Factor z(p).
-3*p*(p - 1)*(p + 2)
Let n be (-12)/(-30) + 14/(-10). Let h(i) = 5*i**2 + 2*i. Let c be h(n). Let -3*r**2 + 3*r**4 + 3*r**3 - r**c - 5*r**3 + 3*r**5 = 0. Calculate r.
-1, 0, 1
Let f(l) = -5*l - 20. Let m(s) = 2*s**2 + 10*s - 4. Let v be m(-5). Let k be f(v). Factor k + 0*i**2 + 1/4*i**5 + 1/2*i**3 + 0*i - 3/4*i**4.
i**3*(i - 2)*(i - 1)/4
Factor 3199 + 2581 - 21*s**2 + 12*s**2 + 340*s + 8*s**2 + 6*s**2.
5*(s + 34)**2
Let t(w) be the first derivative of 1/72*w**4 - 1 - 1/120*w**5 + 0*w**2 + 0*w**3 - 6*w. Let l(i) be the first derivative of t(i). Find k such that l(k) = 0.
0, 1
Let p(o) be the third derivative of o**5/20 + 15*o**4/4 + 29*o**3/2 + 39*o**2. Factor p(c).
3*(c + 1)*(c + 29)
Let b(p) = -6*p - 1. Let q be b(-1). Suppose -3*t - 4 = -q*t. Factor 4*w**2 - t*w - 4*w**4 + 24*w**3 - 24*w**3 + 2*w**5.
2*w*(w - 1)**3*(w + 1)
Let t = 11383/2 + -5568. Let s = t + -122. Find u such that 0 - u**2 + 11/4*u**3 - u - 9/4*u**5 + s*u**4 = 0.
-2/3, 0, 1
Let m(z) be the second derivative of z**4/4 + 61*z**3 + 11163*z**2/2 + 2*z + 222. Factor m(p).
3*(p + 61)**2
Let j(a) = 9*a**3 + 92*a**2 + 229*a - 3925. Let t(d) = 22*d**3 + 230*d**2 + 572*d - 9812. Let p(q) = 12*j(q) - 5*t(q). Solve p(m) = 0.
-14, 5
Let d(h) be the third derivative of h**8/112 - 104*h**7/35 + 14281*h**6/40 - 31381*h**5/2 - 167825*h**4/2 - 171500*h**3 - 39*h**2. Factor d(s).
3*(s - 70)**3*(s + 1)**2
Let d = -26879/132 + 815/4. Let j = d - -6/11. Find m, given that 0*m + j*m**3 + 0 - 1/3*m**4 - 1/3*m**2 = 0.
0, 1
Suppose 35 = -8*o + 27. Let c(l) be the first derivative of l**2/2 - 1. Let z(q) = q**2 + 3*q. Let j(f) = o*z(f) + 2*c(f). Factor j(g).
-g*(g + 1)
Let j be 418/(-352) + (-10)/(-8). Let q(z) be the second derivative of -4*z + j*z**4 - 1/12*z**3 + 0*z**2 + 0. Suppose q(v) = 0. What is v?
0, 2/3
Let q = -41 - -74. Let g = q - 31. Suppose -1/3*v**g + 0 - 1/3*v = 0. What is v?
-1, 0
Factor -27/4*q**3 + 0 + 39/4*q**2 - 3*q**4 + 0*q.
-3*q**2*(q - 1)*(4*q + 13)/4
Let f(h) = -h**3 + h**2 + 10*h - 2. Let s be f(3). Suppose -96*b - s = -101*b. Factor -1/4*p**b + 0 + 0*p.
-p**2/4
Find i such that 32*i**3 + 12 + 7*i**2 - 64*i**3 + 31*i**3 - 16*i = 0.
2, 3
Let h = -9991 + 9993. Determine b so that 2/7*b - 2/7*b**h - 2/7*b**3 + 2/7 = 0.
-1, 1
Let k be (-7772)/4020 + 14/6. Solve 72/5 - 2/5*i**4 + 2/5*i**2 + 96/5*i - 26/5*i**3 + k*i**5 = 0 for i.
-2, -1, 3
Suppose -1 = 5*q - 26. Let d = -3 + q. Determine j so that -7*j**2 - 4*j**2 + d*j**2 - 3*j**3 - 9*j - 3 = 0.
-1
Suppose -5*f + 8 = 2*a, -3*f + 8*f - 3*a = 38. Factor 1/2*c**5 + c**2 - 3*c**3 - 3/2 + 5/2*c + 1/2*c**f.
(c - 1)**3*(c + 1)*(c + 3)/2
Find w such that -140/3 - 35/3*w**2 - 500/3*w = 0.
-14, -2/7
Let z be 118/7 - 2/(-14). Suppose -z*a + 12 = -13*a. What is t in 2*t**4 + t**2 + t**3 - 5*t**3 + 8*t**a + t**2 = 0?
-1, 0
Let p(d) = -2*d + 4*d - 6*d + 3*d. Let q(k) = -5 + 7*k + k**2 + 4 - 6*k. Let y(h) = -3*p(h) - 3*q(h). Suppose y(f) = 0. What is f?
-1, 1
What is f in 0 - 27/2*f + 3/2*f**2 = 0?
0, 9
Let z(h) = -h**4 + h**3 + 1. Let f(i) = -i**2 - 6*i + 3*i**2 + 10*i**4 + 10*i**4 - 15 - 5*i**3 - 7*i**4. Let a(o) = 2*f(o) + 22*z(o). Let a(q) = 0. Calculate q.
-2, -1, 1
Let p(v) be the second derivative of -v**7/126 - 2*v**6/45 - v**5/15 - 216*v. Factor p(u).
-u**3*(u + 2)**2/3
Suppose -11/6*x**2 + 1/3*x**3 - 2*x + 6 + 1/6*x**4 = 0. What is x?
-3, 2
Factor 22*f**2 - 2*f**4 - 3*f - 10*f**3 + 29*f**2 + 66*f - f**4 - 5*f**3.
-3*f*(f - 3)*(f + 1)*(f + 7)
Let r = 18 + -24. Let q be (r - -4)*(-2)/2. Suppose -2/11*d**q - 8/11 + 8/11*d = 0. What is d?
2
Let m(u) be the second derivative of -5/2*u**2 + 0 + 1/4*u**5 + 5/12*u**4 - 6*u - 5/6*u**3. Solve m(j) = 0 for j.
-1, 1
Let j(t) be the second derivative of t**7/120 + t**6/72 - t**5/60 - 7*t**3/6 + 14*t. Let l(x) be the second derivative of j(x). Let l(b) = 0. What is b?
-1, 0, 2/7
Let l(b) be the second derivative of b**7/189 - b**5/45 + b**3/27 + 164*b. Factor l(q).
2*q*(q - 1)**2*(q + 1)**2/9
Let t(h) = 5*h**4 + 30*h**3 - 37*h**2 - 2. Let m(a) = -a**2 - 1. Let j(o) = -2*m(o) + t(o). Determine k so that j(k) = 0.
-7, 0, 1
Let o(m) be the third derivative of -m**7/280 + m**6/30 - m**5/8 + m**4/4 + m**3/3 + 10*m**2. Let u(y) be the first derivative of o(y). What is g in u(g) = 0?
1, 2
Factor -13092*v + 809*v - 44*v**3 + 43*v**3 + 373248 + 216*v**2 - 3269*v.
-(v - 72)**3
Solve -6*t**2 - 52/9*t**3 - 4/9*t**5 + 34/9*t**4 + 0 + 4*t = 0 for t.
-1, 0, 1/2, 3, 6
Let g be 3/8*(-1 - 35/(-21)). Let t(h) be the second derivative of 0 - 3*h + g*h**2 - 1/24*h**4 + 0*h**3. Factor t(o).
-(o - 1)*(o + 1)/2
Let c(b) be the third derivative of -b**9/20160 + b**7/1680 - b**5/12 + 12*b**2. Let k(y) be the third derivative of c(y). Factor k(l).
-3*l*(l - 1)*(l + 1)
Let l = 3245 + -16221/5. Factor -2/5*i**2 + l*i - 4/5*i**3 + 0 + 2/5*i**4.
2*i*(i - 2)*(i - 1)*(i + 1)/5
Suppose -2*g + 4*j + 6 = -8, -5*g + j = -44. Factor 8*k**4 + k - g*k**4 - k**3 - 3*k**2 + 4*k**3.
-k*(k - 1)**3
Solve 3/2*i + 0 - 3/2*i**2 = 0.
0, 1
Let v(f) be the first derivative of -5*f**4/4 - 50*f**3/3 - 85*f**2/2 - 40*f - 399. Find m such that v(m) = 0.
-8, -1
Let g(h) be the first derivative of h**7/105 - 2*h**5/25 - h**4/15 + h**3/5 + 2*h**2/5 - 10*h - 4. Let z(i) be the first derivative of g(i). Factor z(u).
2*(u - 2)*(u - 1)*(u + 1)**3/5
Suppose 20*n - 2045 = -1985. Let 4/5*m**n + 0 + 0*m**2 + 0*m + 7/5*m**5 + 16/5*m**4 = 0. What is m?
-2, -2/7, 0
Factor 2*l**2 + 714*l - 5*l**2 + 25981 - 68464.
-3*(l - 119)**2
Let j = 252 - 247. Let a(m) be the third derivative of 0*m + 5*m**2 + 1/8*m**4 + 1/60*m**j + 0 + 1/3*m**3. Factor a(r).
(r + 1)*(r + 2)
Let k be (-6)/(-9)*(-321)/2*1. Let f = k - -107. Suppose z**2 - z**3 + 1/3*z**4 + f - 1/3*z = 0. What is z?
0, 1
Let j = 112 + -109. Let -20*k**2 + 4*k**4 - 59*k**3 + 12*k + 19*k**j + 16 + 28*k**3 = 0. Calculate k.
-1, 1, 4
Factor 20*w**2 - 310 + 68 - 6*w**3 - 4*w**3 - 77*w + 9*w**3.
-(w - 11)**2*(w + 2)
Let m(c) = -c**5 + c**4 - c**2 - 1. Let g(b) = b**4 - 4*b**3 - 3*b**2 + 3*b + 1. Let d(j) = -g(j) + m(j). What is z in d(z) = 0?
-1, 1, 2
Let k(t) be the first derivative of -2*t**3 + 4*t**2 + 14*t + 175. Factor k(r).
-2*(r + 1)*(3*r - 7)
Let a be ((-65)/(-52)*-2)/(1/(-2)). Let i(t) be the second derivative of -1/14*t**2 - 1/210*t**6 + 3*t + 0*t**a + 0 + 0*t**3 + 1/42*t**4. Factor i(u).
-(u - 1)**2*(u + 1)**2/7
Let r = -2209/7 - -316. Let l(a) = 3*a + 9. Let x be l(-3). Suppose x - 6/7*z - r*z**2 = 0. What is z?
-2, 0
Suppose 4*s + 2*v - 30 = 0, 4*v = -4*s + 17 + 15. Suppose 10 = s*i - 4. Find f, given that 6/5*f**4 + 0 + 4/5*f**2 - i*f**3 + 0*f = 0.
0, 2/3, 1
Suppose -2*q = v - 5*v - 14, -v - 11 = -3*q. Let l(r) be the second derivative of -3*r + 0*r**q + 1/15*r**4 + 0*r**2 - 1/50*r**5 + 0. Factor l(d).
-2*d**2*(d - 2)/5
Factor 118*x**2 - 12*x**2 - 5*x**3 - 980*x + 34*x**2.
-5*x*(x - 14)**2
Let p be (4/16*2)/(2/(-20)). Let d be ((-15)/(-18))/p*(-3)/1. What is q in -q + d*q**2 + 1/2 = 0?
1
Let c(k) be the first derivative of -7 + k**2 - 8/7*k - 4/21*k**3 - 1/14*k**4. Find y such that c(y) = 0.
-4, 1
Suppose -5*a = 4*b - 113, -a + 106 = 4*b - 3*a. Factor -25*k**4 + 2*k**5 + 4*k**3 - 4*k**2 + 2 - 2*k - 4*k**5 + b*k**4.
-2*(k - 1)**3*(k + 1)**2
Let j be -2 - (2 + -2 + -5) - (-9 - -10). Factor -j*h - 4 - 1/4*h**2.
-(h + 4)**2/4
Let i be 4*(-1)/(-12)*(-1 + 1). Let j(n) be the second derivative of -1/20*