 What is p in o*p**3 - 2/11*p**s - 4/11*p + 0 = 0?
-1, 0, 2
Let r(y) be the first derivative of 2*y**6/15 - y**4/3 - 2*y - 10. Let a(f) be the first derivative of r(f). Factor a(l).
4*l**2*(l - 1)*(l + 1)
Let w be (-8)/(-15)*(-160)/(-128). Solve 2/3*r**2 + 0*r - w = 0.
-1, 1
Let y(p) be the third derivative of 1/2*p**4 + 1/210*p**7 + 1/20*p**6 + 13/60*p**5 - 5*p**2 + 0 + 0*p + 2/3*p**3. Factor y(u).
(u + 1)**2*(u + 2)**2
Let l be (2/(-45))/((-816)/255). Let p(d) be the third derivative of -l*d**5 + 0*d + 1/720*d**6 - 1/9*d**3 - d**2 + 0 + 1/18*d**4. Factor p(m).
(m - 2)**2*(m - 1)/6
Suppose 3*d + 12 = 3*u, -5*u + 8 - 15 = 4*d. Let c be d - (4/(-42))/(1/39). Let 0 + 1/7*z**4 - 2/7*z - 4/7*z**3 + c*z**2 = 0. What is z?
0, 1, 2
Let d = 2664 + -2664. Find b, given that 0*b - 1/8*b**5 + d - 1/4*b**2 + 1/8*b**3 + 1/4*b**4 = 0.
-1, 0, 1, 2
Let n(w) be the third derivative of -25/8*w**4 + 35/6*w**3 + 0*w + 0 - 1/24*w**6 - 13*w**2 + 3/4*w**5. Factor n(s).
-5*(s - 7)*(s - 1)**2
Let g(x) be the third derivative of -x**7/420 - 163*x**6/480 + 127*x**5/40 - 257*x**4/24 + 43*x**3/3 + 446*x**2 - 1. Find z such that g(z) = 0.
-86, 1/2, 2
Let h(q) be the first derivative of q**7/420 - q**5/60 + 28*q**3/3 - 14. Let d(b) be the third derivative of h(b). Determine p, given that d(p) = 0.
-1, 0, 1
Let d(r) be the third derivative of -r**5/20 + r**4/8 - 5*r**2. Factor d(g).
-3*g*(g - 1)
Let k(u) be the first derivative of 2*u**3/21 + 10*u**2/7 - 22*u/7 + 113. Determine o, given that k(o) = 0.
-11, 1
Let -30*r**3 + 2*r + 26*r**3 - 42*r + 30*r**2 - 2*r**2 = 0. Calculate r.
0, 2, 5
Let p(h) be the second derivative of h**8/448 - h**7/140 - h**6/160 + h**5/40 + 6*h**2 + 13*h. Let o(d) be the first derivative of p(d). What is j in o(j) = 0?
-1, 0, 1, 2
Let x = 1048 + -4167/4. Suppose g - u - 4 = 0, -4 = 3*g - 6*g + u. Factor -x*q**3 + 0 - 14*q**4 + g*q - 3/4*q**2 - 4*q**5.
-q**2*(q + 3)*(4*q + 1)**2/4
Let u(r) be the second derivative of -r**6/60 - r**5/15 - 6*r**2 + 12*r. Let m(f) be the first derivative of u(f). Factor m(w).
-2*w**2*(w + 2)
Let z(f) = -5*f**2 - 9*f + 14. Suppose 3*m - 71 = 34. Let u(p) = -45*p**2 - 80*p + 125. Let a(r) = m*z(r) - 4*u(r). Let a(g) = 0. What is g?
-2, 1
Factor 2*h**2 - 26*h + 14 + 20 - 10.
2*(h - 12)*(h - 1)
Suppose -2*p = -2*p + 3*p. Suppose p = -7*u - 0*u. Factor -2/5*f - 2/5*f**2 + u.
-2*f*(f + 1)/5
Let z(r) be the second derivative of 3*r**5/20 - 15*r**4/4 + 27*r**3 - 60*r**2 - 67*r. Factor z(m).
3*(m - 10)*(m - 4)*(m - 1)
Suppose 4*f = r + 10, -2*f - 5*r - 4 = -20. Suppose -2/3*d - 4/3*d**2 + 0 - 2/3*d**f = 0. Calculate d.
-1, 0
Suppose -u + a + 51 = 0, -2*u = -0*u - 5*a - 102. Let s be ((-4)/(-15))/(17/u). Factor 2/5*y + 0 - 4/5*y**4 + s*y**2 + 0*y**3 - 2/5*y**5.
-2*y*(y - 1)*(y + 1)**3/5
Solve -51 + 52*b**3 + 140*b**2 - 29 + 191*b - 272*b**2 - 12*b**3 - 15*b - 4*b**4 = 0 for b.
1, 2, 5
Let q(b) be the third derivative of b**8/2016 - b**7/630 - b**6/60 + b**5/20 + 3*b**4/16 - 146*b**2. Factor q(t).
t*(t - 3)**2*(t + 1)*(t + 3)/6
Factor -338 + 3/2*f**3 + 155/2*f**2 + 988*f.
(f + 26)**2*(3*f - 1)/2
Let y = 6109951/13596285 - 738/6521. Let r = y - 2/695. Factor 1 + r*j**3 - 5/3*j + 1/3*j**2.
(j - 1)**2*(j + 3)/3
Let v = -18 - -24. Find h, given that 3 - h - 9 - h**5 - v*h**4 + 3*h**2 + 2*h**3 + 9*h**2 = 0.
-6, -1, 1
Let g(c) be the third derivative of c**6/60 - 7*c**5/10 + 6*c**4 - 68*c**3/3 + 190*c**2 + 2. Find x such that g(x) = 0.
2, 17
Find r such that -7/5*r**4 + 0 + 23/5*r**3 + 4/5*r - 4*r**2 = 0.
0, 2/7, 1, 2
Suppose 15*t - 11*t - 12 = 0. Suppose -2*f = 2*r + 2, 2*r + 21 = t*f - r. Suppose -2/9*a**f + 6 + 2*a**2 - 6*a = 0. What is a?
3
Solve -130/23*t**2 + 84/23*t**3 + 26/23*t + 20/23 = 0 for t.
-2/7, 5/6, 1
Let d be -5 + ((-10)/(-60) - (-13)/2). Let f(k) be the second derivative of 3*k**2 + 1/30*k**5 + d*k**3 + 6*k + 7/18*k**4 + 0. Factor f(u).
2*(u + 1)*(u + 3)**2/3
Let f(c) = -c**3 + 2*c**2 - 6*c. Let i(a) = -a. Let p be (-2 - -1)/1*1. Let j(l) = p*f(l) + 5*i(l). Factor j(z).
z*(z - 1)**2
Let a be (-3 + -3 + -2)/(-2). Factor -2*z**a + 1/2*z - z**2 + 0 - 7/2*z**3.
-z*(z + 1)**2*(4*z - 1)/2
Let u(z) be the second derivative of -7*z**5/5 + 3*z**4 + 8*z**3 - 8*z**2 + 95*z. Factor u(w).
-4*(w - 2)*(w + 1)*(7*w - 2)
Let d(i) be the first derivative of 2*i**3/45 - 18*i**2/5 - 22*i/3 - 230. Let d(a) = 0. What is a?
-1, 55
Let x(g) = -2*g**3 - 2*g**2 - 4. Let q be x(-2). Let 3 + 10*l**2 + 3*l**q - 10*l**2 - 6*l**2 = 0. Calculate l.
-1, 1
Let s(m) be the first derivative of m**7/1890 - m**6/360 + m**5/180 - m**4/216 - 5*m**2 + 19. Let a(f) be the second derivative of s(f). Factor a(h).
h*(h - 1)**3/9
Factor 0*g + 24/7*g**2 + 0 + 27/7*g**4 + 114/7*g**3.
3*g**2*(g + 4)*(9*g + 2)/7
Let t(z) be the second derivative of 0 + 1/10*z**5 + 7/3*z**3 + 5/6*z**4 + 3*z**2 - 35*z. Solve t(n) = 0.
-3, -1
Let n = 2999 + -32981/11. Factor -n*w**3 + 16/11*w**2 + 2/11 - 10/11*w.
-2*(w - 1)*(2*w - 1)**2/11
Suppose -15*b = -167 + 62. Suppose 0 = -b*c + 2*c, -2*w + 10 = 2*c. What is v in 6/11*v - 8/11*v**3 + 2/11*v**w - 4/11*v**4 + 4/11*v**2 + 0 = 0?
-1, 0, 1, 3
Let u(q) = -q**3 + 8*q**2 - 7*q + 7. Let v be u(7). Suppose -v*c = 4*c - 22. Factor -2/11*j + 0 + 0*j**3 + 4/11*j**4 - 4/11*j**c + 2/11*j**5.
2*j*(j - 1)*(j + 1)**3/11
Factor 5*a**3 + 52*a**2 + 62*a + 183*a + 18*a**2.
5*a*(a + 7)**2
Suppose b - 5*h = 10, -b + 3*h - 7 = -3*b. Suppose -10 = b*y - 75. Let -n**2 + 2*n**2 + y*n - 14*n = 0. Calculate n.
0, 1
Let u(r) be the second derivative of -13*r + 5/3*r**3 - 55/12*r**4 + 4*r**5 + 0*r**2 - 7/6*r**6 + 0. Let u(w) = 0. Calculate w.
0, 2/7, 1
Let j(v) be the first derivative of 1 - 3/28*v**4 + 3/14*v**2 - 3/7*v**3 + 3/35*v**5 + 6/7*v. Suppose j(y) = 0. Calculate y.
-1, 1, 2
Let t be (-6)/(-12)*(3 + -1)*143. Let w = t - 141. Factor 0*q + 1/4*q**4 - q**3 + 0 + q**w.
q**2*(q - 2)**2/4
Let l = -1462 + 10236/7. Factor 32/7 - 16/7*g + l*g**2.
2*(g - 4)**2/7
Factor -6*i + 8*i**4 - 10*i**2 + 10*i - 4*i**5 + 2*i**2.
-4*i*(i - 1)**3*(i + 1)
Let t(r) be the first derivative of 2 + 1/3*r**4 + 0*r - 2/3*r**2 + 0*r**3. Factor t(f).
4*f*(f - 1)*(f + 1)/3
Factor 1/5*d**2 + 71/5*d - 72/5.
(d - 1)*(d + 72)/5
Suppose 4*d = 3*o + 3, 2*d - o - 4*o = 5. Let a be 2 + -4 + 4 + d. Let 12/5*u**4 - 7/5*u**5 + 0 - 2/5*u**a - 3/5*u**3 + 0*u = 0. What is u?
-2/7, 0, 1
Suppose 0*z + 15 = 2*o + z, 2*o = z + 9. Suppose -5*a + o = -9. Find b, given that 12*b**5 - 2*b**a + 8*b**5 - b**3 - 17*b**5 = 0.
-1, 0, 1
Let h be (-6)/21*14/(-1). Suppose -y + 14*y = 39. Solve a**y + 1/3*a**h + 1/3*a + a**2 + 0 = 0 for a.
-1, 0
Find t, given that 3/7 + 3/7*t**5 + 3/7*t**4 - 6/7*t**2 - 6/7*t**3 + 3/7*t = 0.
-1, 1
Let p(b) = b**2 + b. Let l(v) be the third derivative of v**5/10 - v**4/6 + 9*v**2. Let n(m) = -l(m) + p(m). Solve n(x) = 0.
0, 1
Suppose 8*x - 7 + 2 = -5. Factor x*k**2 - 1/2*k**3 + 0 + 0*k.
-k**3/2
Let f(v) be the first derivative of 4*v**5/5 - v**4 - 40*v**3/3 - 16*v**2 + 139. Factor f(s).
4*s*(s - 4)*(s + 1)*(s + 2)
Let h(r) = 165*r**4 + 1974*r**3 + 5464*r**2 - 1826*r + 146. Let y(t) = 2*t**4 + t**3 + t - 1. Let u(a) = h(a) + 2*y(a). Let u(q) = 0. What is q?
-6, 2/13
Let r(n) = n**2 - n - 27. Let v be r(6). Let b(a) be the second derivative of 0 + 0*a**2 - 2/55*a**5 - 1/165*a**6 - 2/33*a**v - 5/66*a**4 - a. Factor b(d).
-2*d*(d + 1)**2*(d + 2)/11
Let p(q) = -5*q**4 - 15*q**3 - 20*q**2 + 5*q + 5. Let v(w) = -w**3 + w**2 - w - 1. Let j be ((-5)/6)/(8/(-48)). Let f(c) = j*v(c) + p(c). Factor f(y).
-5*y**2*(y + 1)*(y + 3)
Let b(w) = 8*w**2 + 150*w - 158. Let c(i) = 4*i**2 + 76*i - 80. Let l(h) = 6*b(h) - 11*c(h). Factor l(f).
4*(f - 1)*(f + 17)
Suppose 13*b**5 - 12*b**5 - 5*b**5 + b**5 + 9*b**4 = 0. What is b?
0, 3
Let h = -2/4353 + 4393/87060. Let j(m) be the second derivative of 0*m**3 + h*m**5 + 0 + 12*m + 0*m**2 + 1/6*m**4. Factor j(z).
z**2*(z + 2)
Let k(x) be the third derivative of x**8/336 - x**7/45 + 13*x**6/180 - 2*x**5/15 - 13*x**4/24 + 16*x**2. Let t(b) be the second derivative of k(b). Factor t(h).
4*(h - 1)**2*(5*h - 4)
Let p = -21 + 42. Let h be (1/(-2))/(0 - 3/p). Determine t so that -2*t + 6*t**2 + h*t**3 + 0 = 0.
-2, 0, 2/7
Determine y, given that 1/5*y**2 - 92/5 - 44/5*y = 0.
-2, 46
Let k(c) be the third derivative of c**8/560 + c**7/280 - 4*c**3/3 - 6*c**2. Let d(i) 