i + 1)*(i + 7)/9
Let b(a) be the first derivative of -1/6*a - 1/18*a**3 + 8 - 1/6*a**2. Factor b(d).
-(d + 1)**2/6
Let a(u) = -4*u**3 + 12*u**2 - 14*u - 2. Let y(l) = -5*l**3 + 13*l**2 - 15*l - 3. Let j(z) = 3*a(z) - 2*y(z). Let j(g) = 0. What is g?
0, 2, 3
Let y(c) = c**4 - 3*c**3 + c**2 + 2. Let u(q) = -2*q**4 - 17*q**3 + 221*q**2 - 640*q - 6. Let b(m) = u(m) + 3*y(m). Factor b(x).
x*(x - 10)*(x - 8)**2
Let g be 16/6 - ((-8)/(-3) - 3). Let a(x) be the second derivative of 0*x**2 - 1/70*x**5 + 0*x**g + 0 + 1/42*x**4 + 13*x. Factor a(h).
-2*h**2*(h - 1)/7
Factor 7*p**3 - 226*p**5 + 32*p**2 + 224*p**5 + p**3 - 32 - 6*p**4.
-2*(p - 2)*(p - 1)*(p + 2)**3
Let z(t) be the first derivative of -t**6/24 + 3*t**5/10 - 3*t**4/4 + 2*t**3/3 - 151. Factor z(w).
-w**2*(w - 2)**3/4
Suppose 124*u - 50 = 114*u. Let g(n) be the second derivative of 0 + 11/9*n**3 + 13/18*n**4 + 2/3*n**2 + n + 2/15*n**u. Factor g(q).
2*(q + 1)*(q + 2)*(4*q + 1)/3
Let z = -11208 + 11208. Suppose 3/4*o - 9/8*o**2 + 3/8*o**4 + 0*o**3 + z = 0. What is o?
-2, 0, 1
Let q(b) = -b**2 + b. Let s(v) = -v**2 - 8*v + 25. Let k be (-2)/(-2) - 25/(-5 + 10). Let p(l) = k*q(l) + 2*s(l). Factor p(z).
2*(z - 5)**2
Factor 32*p**4 + 2*p**5 + 468*p + 616*p**2 - 91*p**2 + 83*p**2 + 155*p**3 + 428*p + 512 + 45*p**3.
2*(p + 2)**2*(p + 4)**3
Let h(k) = -5*k**2 + 106*k + 106. Let c(t) = -t**2 + 6*t + 2. Let y(o) = c(o) - h(o). Factor y(u).
4*(u - 26)*(u + 1)
Suppose -15*k**2 - 5/4*k**3 - 45/4*k + 55/2 = 0. Calculate k.
-11, -2, 1
What is a in -2/5*a - 63/5*a**4 - 37/5*a**2 + 0 - 179/5*a**3 + 81/5*a**5 = 0?
-1, -1/9, 0, 2
What is w in 15 + 21*w**3 + 57 - 246*w + 1454*w**2 - 1481*w**2 = 0?
-3, 2/7, 4
Let j(n) be the second derivative of 0 + 25/3*n**4 + 23*n + 16*n**2 - 76/3*n**3 - 4/5*n**5. What is p in j(p) = 0?
1/4, 2, 4
Suppose 2*m + 5 = 9. Factor -m*k**2 - 1 - 3 + 3*k**2.
(k - 2)*(k + 2)
Let m(t) be the third derivative of t**8/26880 + t**7/10080 - t**6/2880 - t**5/480 - 3*t**4/8 - 10*t**2. Let c(v) be the second derivative of m(v). Factor c(p).
(p - 1)*(p + 1)**2/4
Let v(y) be the second derivative of y**4/78 - 4*y**3/39 + 4*y**2/13 - y - 25. Solve v(i) = 0 for i.
2
Let s = -336/55 + 1558/165. Factor 2/9*y**3 - s*y**2 + 50/3*y - 250/9.
2*(y - 5)**3/9
Let p = -1895/16 + -117/16. Let m = p + 126. Factor m*r**5 + 0 + r**2 + 3/4*r**3 - r - r**4.
r*(r - 2)**2*(r - 1)*(r + 1)/4
Suppose 4*r + 21*r + 32*r + 3*r**2 - 10*r - 279 + 37*r = 0. What is r?
-31, 3
Let n be (3*-15)/3*6. Let q be ((-4)/10)/(6/n). Factor 3*j**2 + q*j + j**2 - 4*j.
2*j*(2*j + 1)
Let o(z) be the second derivative of 5*z - 7/30*z**4 + 1/5*z**3 + 1/10*z**5 + 0*z**2 + 0 - 1/75*z**6. Factor o(n).
-2*n*(n - 3)*(n - 1)**2/5
Suppose 60*p + 15 = 63*p. Factor -5*a**4 + p*a**3 - 30*a**3 - 45*a**2 - 10 - 21*a - 14*a.
-5*(a + 1)**3*(a + 2)
Let a(s) = -s**3 + 11*s**2 - 15*s - 12. Let h be a(9). Let 6*j + 5*j**2 - h*j**2 - 9*j - 12*j + 5*j**3 = 0. What is j?
-1, 0, 3
Let a(h) be the second derivative of -1/9*h**2 - 2/3*h**4 + 0 - 4/9*h**3 + 23*h. Factor a(f).
-2*(6*f + 1)**2/9
Suppose -56 + 88 = 2*q. Suppose 35*d = 27*d + q. What is w in -1/5*w**d + 1/5 + 1/5*w - 1/5*w**3 = 0?
-1, 1
Let u be -4*2/4 + 2. Let i be (1 + u)*52/494. Suppose 0*j**2 - 2/19*j + i*j**3 + 0 = 0. What is j?
-1, 0, 1
Suppose 3/4*b**2 + 675/4 + 45/2*b = 0. What is b?
-15
Let y = -1831/800 - -58/25. Let i(k) be the first derivative of 1/8*k**3 + y*k**4 + 3/16*k**2 + 10 + 1/8*k. Solve i(x) = 0 for x.
-1
Let p = -21 - -16. Let n(d) = 5*d**2 + 6*d - 6. Let w(f) = 4*f**2 + 5*f - 5. Let h(o) = p*n(o) + 6*w(o). Factor h(l).
-l**2
Let c(r) be the third derivative of -r**8/171360 - r**7/8568 - r**6/1020 + 8*r**5/15 - 18*r**2. Let g(q) be the third derivative of c(q). Factor g(f).
-2*(f + 2)*(f + 3)/17
Let v be (-6)/(-72)*(-4 - -8)*12. Factor 0 + 0*x**2 - 5*x**5 - 11/3*x**v - 2/3*x**3 + 0*x.
-x**3*(3*x + 1)*(5*x + 2)/3
Let h be -2*(-1)/5 - (-12258)/(-70). Let c = 175 + h. Suppose -c*v**3 + 54/7 - 54/7*v + 18/7*v**2 = 0. What is v?
3
Let m(j) be the first derivative of j**7/1890 - 2*j**6/405 - j**5/270 + 2*j**4/27 + 7*j**3 - 10. Let c(w) be the third derivative of m(w). Factor c(x).
4*(x - 4)*(x - 1)*(x + 1)/9
Let r = -39/158 - -275/474. Solve r*w**2 + 1/3 - 2/3*w = 0.
1
Determine w, given that -9*w**5 + 10*w**5 - 329*w**4 + 345*w**4 + 15*w**3 = 0.
-15, -1, 0
Let v(n) be the third derivative of -1/1365*n**7 - 1/260*n**6 + 0*n + 9*n**2 - 1/156*n**4 + 0*n**3 + 0 - 1/130*n**5. Solve v(f) = 0.
-1, 0
Let s(k) be the first derivative of 2/3*k + 1 + 1/12*k**4 + 5/6*k**2 + 4/9*k**3. Determine a so that s(a) = 0.
-2, -1
Let p be ((-18)/(-3))/(14 - 11). Let o(n) be the first derivative of 6/5*n**p - 4/15*n**3 - 8/5*n - 2. Determine k so that o(k) = 0.
1, 2
Let o(t) be the first derivative of 1/84*t**4 + 1/21*t**3 + 3*t + 1/14*t**2 + 3. Let c(r) be the first derivative of o(r). Let c(m) = 0. What is m?
-1
Suppose 199*f = 99 + 37 + 461. Factor 0 + 9/5*u**4 + 0*u - 3/5*u**f - 6/5*u**2.
3*u**2*(u - 1)*(3*u + 2)/5
Let d(y) = 2*y**3 + 5*y**2 + 3. Let o(l) = 4*l**3 + 11*l**2 + 7. Suppose 33 = -3*b + 12. Let n(k) = b*d(k) + 3*o(k). Factor n(z).
-2*z**2*(z + 1)
Suppose -4*v - 3 = 5. Let t(z) = -5*z - 1. Let s be t(v). Suppose -2 - 15*m**2 - 1 + s*m + 9 = 0. What is m?
-2/5, 1
Suppose 3*i = -10*x + 11*x + 11, 2*i - 4 = 4*x. Let f be 140/4*8/20 - i. Factor -f*j**3 - 8/5*j**4 - 88/5*j - 108/5*j**2 - 16/5.
-2*(j + 2)**3*(4*j + 1)/5
Let x(g) be the first derivative of -1/90*g**5 - 2/27*g**3 + 0*g**2 + 5*g - 1/18*g**4 + 5. Let d(c) be the first derivative of x(c). Solve d(s) = 0 for s.
-2, -1, 0
Let u(d) be the second derivative of 6/17*d**2 + 2/51*d**4 + 11/51*d**3 + 16*d + 0 - 1/170*d**5. Factor u(s).
-2*(s - 6)*(s + 1)**2/17
Let 38/3 + 1/3*f**2 + 7*f = 0. What is f?
-19, -2
Suppose c + 5*z - 40 = 0, 5*z - 244 + 204 = 2*c. Factor 2/9*p**4 + 10/9*p**3 + 0*p + 0 + c*p**2.
2*p**3*(p + 5)/9
Find z, given that 3*z**3 - 3 - 4*z - z**2 - 3*z**2 + 13*z + 5*z**2 - 10*z**2 = 0.
1
Let j(y) be the third derivative of -y**6/1020 - 3*y**5/170 + y**4/17 + 20*y**3/51 + 546*y**2. Suppose j(i) = 0. What is i?
-10, -1, 2
Suppose -33 = 3*h - 15. Let g be 1*(-7 - -8) - h/(-14). Factor 0 + g*t + 4/7*t**2.
4*t*(t + 1)/7
Let t be ((4 - 2)*1)/1. Suppose -7*p = -t*p - s - 30, -2*p + 9 = -s. Find d, given that -18*d**3 + 26*d**3 - 8*d - 16*d**2 + 5*d**4 + p*d**4 + 4 = 0.
-1, 1/3, 1
Let o = -1427 - -1438. Let s(t) be the first derivative of -o - 4/5*t**5 + 4*t**3 + 10*t**2 + 8*t - t**4. Let s(m) = 0. Calculate m.
-1, 2
Let j be (2/2 - 1)/(25/25). Let f(w) be the second derivative of j*w**2 - 5*w + 1/60*w**5 - 2/9*w**3 + 0 + 1/12*w**4. Suppose f(y) = 0. What is y?
-4, 0, 1
Let p(r) be the second derivative of -2*r**6/45 + r**5/15 + r**4/3 - 2*r**3/9 - 4*r**2/3 + r - 2. What is h in p(h) = 0?
-1, 1, 2
Suppose -2*s - s = -54. What is k in -9*k**4 - 24*k**3 - s*k**2 + 0*k**4 + 3 + 0 = 0?
-1, 1/3
Let l(i) be the second derivative of i**4/8 + 5*i**3/2 + 7*i + 1. Suppose l(s) = 0. What is s?
-10, 0
Let t(w) be the first derivative of 4*w**5/45 - 4*w**4/9 + 8*w**3/27 + 8*w**2/9 - 4*w/3 + 6. Factor t(v).
4*(v - 3)*(v - 1)**2*(v + 1)/9
Let -3/11*p - 3/11*p**4 + 1/11*p**5 + 2/11*p**2 + 2/11*p**3 + 1/11 = 0. What is p?
-1, 1
Let b(a) be the second derivative of 5*a**7/42 - a**6/6 - a**5/4 + 5*a**4/12 + 97*a. Solve b(f) = 0 for f.
-1, 0, 1
Let f(u) be the third derivative of u**5/390 - u**4/6 + 16*u**3/13 + 118*u**2. Let f(j) = 0. What is j?
2, 24
Factor 1 + 39*n - 57 - 3*n**2 - 54 + 1 - 17.
-3*(n - 7)*(n - 6)
Let r(k) be the second derivative of -k**5/40 - k**4/16 + k**3/2 + 4*k**2 + 15*k. Let h(y) be the first derivative of r(y). Find z, given that h(z) = 0.
-2, 1
Let -18/7*c**5 - 4/7 - 20*c**3 - 104/7*c**2 - 12*c**4 - 34/7*c = 0. What is c?
-2, -1, -1/3
Let o(p) be the second derivative of p**8/3360 - p**7/420 + p**5/15 + 13*p**4/4 + 44*p. Let f(x) be the third derivative of o(x). Factor f(s).
2*(s - 2)**2*(s + 1)
Let d(b) be the second derivative of -b**7/14 - 13*b**6/10 - 81*b**5/10 - 17*b**4 + 20*b**3 + 144*b**2 + 15*b - 2. Find z, given that d(z) = 0.
-6, -4, -2, 1
Suppose -34 + 14 = -5*a. Let b(f) be the first derivative of -1 - 1/3*f**3 + 1/8*f**a + 1/4*f**2 + 0*f. Factor b(k).
k*(k - 1)**2/2
Let p(i) = -i**2 - 11*i + 9. Let w(u) = u. Let m(b