+ r**2 + 3*r + 1. Let q(a) = -28*p(a) - 2*x(a). Suppose q(u) = 0. What is u?
-1, -4/17
Let g = 11/188 - -83/188. Let 0*r**2 - g*r + 1/2*r**3 + 0 = 0. What is r?
-1, 0, 1
Let z = 1 - -4. Let i = z + -3. Factor k**i + 4 - 15*k - 3*k**3 + k + 17*k**3 - 5*k**2.
2*(k - 1)*(k + 1)*(7*k - 2)
Suppose 33*p = 29*p. Let j be p*15/12*8/(-20). What is h in -2/5*h - 3/5*h**2 - 1/5*h**3 + j = 0?
-2, -1, 0
Let l(k) be the first derivative of 4/3*k**3 + 64*k - 48*k**2 + 5 + 4/5*k**5 + 6*k**4. Factor l(m).
4*(m - 1)**2*(m + 4)**2
Let j(g) be the first derivative of g**7/420 - g**5/60 - 20*g**3/3 + 8. Let u(h) be the third derivative of j(h). Factor u(d).
2*d*(d - 1)*(d + 1)
Find d, given that -16/11 - 194/11*d**3 - 184/11*d - 324/11*d**2 - 38/11*d**4 = 0.
-2, -1, -2/19
Factor 2/3*n**2 - 1/3*n**3 + 8/9*n + 0 - 1/9*n**4.
-n*(n - 2)*(n + 1)*(n + 4)/9
Let g be (-152)/(-40) + 4/(-5). Let r(y) be the second derivative of 0 + 1/45*y**6 + 2/3*y**2 + 4*y - 1/30*y**5 - 1/6*y**4 + 1/9*y**g. Factor r(j).
2*(j - 2)*(j - 1)*(j + 1)**2/3
Let h(u) = 16*u - 288. Let w be h(18). Factor 3/10*q**5 + 0*q - 1/10*q**3 + w + 1/5*q**4 + 0*q**2.
q**3*(q + 1)*(3*q - 1)/10
Suppose -o + 16 = -19. Factor 4*x + 4*x**3 - 18 + o - 17 + 8*x**2.
4*x*(x + 1)**2
Let x(m) be the first derivative of -m**6/120 + 3*m**5/40 - m**4/4 - 14*m**3/3 - 18. Let r(s) be the third derivative of x(s). What is o in r(o) = 0?
1, 2
Let q = -1/314 + 1891/2198. Find p such that 2/7*p**2 - q*p**3 + 4/7*p**4 + 0 + 0*p = 0.
0, 1/2, 1
Let z = -28 + 28. Factor z*m**2 - 3*m**4 + 3*m**2 + 5*m + m - 6*m**3 + 0*m**4.
-3*m*(m - 1)*(m + 1)*(m + 2)
Let s(v) be the second derivative of -3/2*v**2 + 5*v + 0 - v**3 - 1/4*v**4. Factor s(o).
-3*(o + 1)**2
Let b(f) be the third derivative of -f**6/90 - 2*f**5/15 - f**4/2 - 19*f**3/3 + 10*f**2 + 2. Let p(v) be the first derivative of b(v). What is j in p(j) = 0?
-3, -1
Let m = -7195 - -7197. Factor 52/9*k**m - 44/9*k - 8/9.
4*(k - 1)*(13*k + 2)/9
Let n(x) be the third derivative of -3*x**7/35 - 407*x**6/60 - 411*x**5/2 - 10575*x**4/4 - 2250*x**3 + 10*x**2. Factor n(a).
-2*(a + 15)**3*(9*a + 2)
Let w(s) be the second derivative of -s**7/28 + 16*s**6/5 - 75*s**5/8 + 31*s**4/4 + 31*s + 11. Factor w(a).
-3*a**2*(a - 62)*(a - 1)**2/2
Let k = 17 - 11. Let z(j) = -j**3 + 6*j**2 + j - 3. Let q be z(k). Factor 4*v**4 - 2*v**2 - 2*v**4 + 9*v**5 - v**q - 8*v**5.
v**2*(v - 1)*(v + 1)*(v + 2)
Let b(f) be the first derivative of -4/9*f**3 - 11/6*f**4 - 32/15*f**5 - 6 + 0*f**2 - 7/9*f**6 + 0*f. Determine l, given that b(l) = 0.
-1, -2/7, 0
Suppose 230 = 5*g + 4*t, 2*g + 2*t - 6*t = 64. Suppose 82*o - 75*o - g = 0. Find d, given that 6*d**3 + o*d + 3/2 + 3/2*d**4 + 9*d**2 = 0.
-1
Let z(j) = j**3 + 7*j**2 - 75*j + 39. Let q be z(-13). Factor 2/15*t - 2/5*t**2 + q.
-2*t*(3*t - 1)/15
Let n be (((-2346)/544)/(-69))/((-2)/16*-2). Factor 29/4*b**2 - 39/4*b - 9/4*b**3 + 9/2 + n*b**4.
(b - 3)**2*(b - 2)*(b - 1)/4
Determine o, given that -1/4*o + 1/2*o**2 - 1/2 + 1/4*o**3 = 0.
-2, -1, 1
Factor 0 + 2/23*m**4 - 6/23*m**3 + 0*m**2 + 0*m.
2*m**3*(m - 3)/23
Let d(z) be the second derivative of -z**6/150 - z**5/25 + z**4/6 + 14*z**3/15 + 3*z**2/2 + 4*z - 46. Factor d(w).
-(w - 3)*(w + 1)**2*(w + 5)/5
Let y(n) be the second derivative of n**5/70 + 4*n**4/21 + 17*n**3/21 + 10*n**2/7 + 9*n - 19. Factor y(l).
2*(l + 1)*(l + 2)*(l + 5)/7
Let n(d) = 2*d**2 + 16*d - 5. Let f be n(-12). Let g = -89 + f. Factor 0 + 2/13*k + 6/13*k**3 - 6/13*k**g - 2/13*k**4.
-2*k*(k - 1)**3/13
Let m(x) be the second derivative of x**6/240 - 3*x**5/20 + 59*x**4/48 + 13*x**3/2 + 169*x**2/16 + 266*x. What is l in m(l) = 0?
-1, 13
Find v, given that 30*v - 24*v**2 + 66*v**2 - 37*v**2 - 20*v**3 + 5*v**4 = 0.
-1, 0, 2, 3
Let u be ((-8)/6)/((-22)/6 - -3). Factor u*i**2 - 7*i - i + 3*i + i - 6.
2*(i - 3)*(i + 1)
Let w(l) be the first derivative of -l**6/2 - 39*l**5/5 - 63*l**4/2 - 58*l**3 - 111*l**2/2 - 27*l + 67. Find b, given that w(b) = 0.
-9, -1
Let n(j) be the second derivative of -j**4/24 + 13*j**3/6 - 169*j**2/4 + 20*j - 8. Let n(t) = 0. What is t?
13
What is v in -15*v + 34*v**2 - 63/2*v**3 - 3/2*v**5 + 47/4*v**4 + 9/4 = 0?
1/3, 1/2, 1, 3
Let y(w) = 9*w**2 - w - 6. Let d(q) = -72*q**2 + 9*q + 48. Let v = -41 + 45. Let b(g) = v*d(g) + 33*y(g). Factor b(z).
3*(z + 1)*(3*z - 2)
Let t = 3011/460 + 281/92. Find y, given that 3/5*y**5 + 0*y + 0 - t*y**2 - 27/5*y**4 + 72/5*y**3 = 0.
0, 1, 4
Factor -6/5*p + 2/15*p**2 - 4/3.
2*(p - 10)*(p + 1)/15
Let k(h) be the first derivative of h**6/40 + h**5/20 - h**4/2 - 2*h**3 + 6*h**2 - 4. Let d(a) be the second derivative of k(a). Find q such that d(q) = 0.
-2, -1, 2
Suppose -k - 22 + 20 = 0. Let o(z) = z**3 + 2*z**2 - 3*z - 3. Let c be o(k). Factor -13/3*g**c + 0 + 8*g**4 - 3*g**5 + 0*g + 2/3*g**2.
-g**2*(g - 2)*(3*g - 1)**2/3
Let i(o) be the second derivative of 0*o**3 + 1/240*o**5 + 1/48*o**4 + 2*o + 0 + o**2. Let u(r) be the first derivative of i(r). Let u(m) = 0. What is m?
-2, 0
Let m be (0 - 11/(-3))*-3. Let j = m - -15. Factor 3*x**5 - 3*x**j + 3*x**2 - x**4 - 9*x**3 + 6*x + x**4.
3*x*(x - 2)*(x - 1)*(x + 1)**2
Let z be 4395/1140 - 4/38. Let 0*a - z*a**3 + 0 + 3/4*a**2 + 3*a**4 = 0. Calculate a.
0, 1/4, 1
Suppose 3*v = 4*j + 237, -227 = 4*j - 8*v + 3*v. Let n be 3/21 + (-117)/j. Factor -3/8*p - 1/8*p**n - 1/4.
-(p + 1)*(p + 2)/8
Let y(q) be the first derivative of 2*q**3 + 24*q**4 - 4*q**3 + 16*q - 2*q**3 + 27 - 25*q**4. Suppose y(h) = 0. What is h?
-2, 1
Let t(b) be the second derivative of -3*b**5/20 + 15*b**4/4 - 27*b**3/2 + 39*b**2/2 - 402*b. Factor t(r).
-3*(r - 13)*(r - 1)**2
Suppose -t + 0*t - 1 = 0, -3*a = t - 8. Find f such that -20*f**2 - 6*f - 14*f**3 - 4*f**5 + 2*f**a + 22*f + 20*f**4 = 0.
-1, 0, 1, 4
Let g(q) = -61*q**3 + 59*q**2 + 10*q. Let k(r) = 4 + 550*r**3 - 4 - 90*r + 249*r**2 - 779*r**2. Let p(l) = -35*g(l) - 4*k(l). Factor p(o).
-5*o*(o - 1)*(13*o + 2)
Let t = 817 - 484. Let h be (-4)/(-6) - t/(-108). Suppose h*y + 3/4 - 9/4*y**4 + 3/2*y**2 - 21/2*y**3 + 27/4*y**5 = 0. Calculate y.
-1, -1/3, 1
Suppose 11 = -20*l + 24*l + 3. What is i in -14/5*i**3 - 22/5*i + 32/5*i**l + 4/5 = 0?
2/7, 1
Let a = -20 + 83. Let q = 253/4 - a. Solve q*s + 0 + 1/4*s**2 = 0 for s.
-1, 0
Let c(y) be the second derivative of -1/5*y**5 - 21*y + 0 - 2/3*y**4 + 4*y**2 + 2/3*y**3. Solve c(l) = 0 for l.
-2, -1, 1
Let b be (5*2)/(35/14). Let t(c) be the third derivative of 5*c**2 + 0 + 0*c**3 - 1/48*c**b + 0*c + 1/240*c**5. Determine h so that t(h) = 0.
0, 2
Let n(o) be the third derivative of -o**5/30 - 7*o**4/12 - 168*o**2. Factor n(v).
-2*v*(v + 7)
Factor -10/7*a - 8/7 + 10/7*a**3 + 6/7*a**2 + 2/7*a**4.
2*(a - 1)*(a + 1)**2*(a + 4)/7
Let f(s) be the third derivative of 1/132*s**4 + 0 - 18*s**2 + 0*s - 3/110*s**5 + 0*s**3. Factor f(l).
-2*l*(9*l - 1)/11
Find b, given that 33/4*b - 7/2*b**2 - 5/2 = 0.
5/14, 2
Let g(b) be the first derivative of -4 + 0*b**2 - 1/60*b**5 + 0*b**4 - 2*b**3 + 0*b - 1/180*b**6. Let r(d) be the third derivative of g(d). Solve r(t) = 0.
-1, 0
Let d(m) be the third derivative of m**6/180 - m**4/3 - 2*m**3 - 15*m**2. Let n(b) be the first derivative of d(b). Determine k so that n(k) = 0.
-2, 2
Factor 6/5 + 14/5*d + 2/5*d**3 + 2*d**2.
2*(d + 1)**2*(d + 3)/5
Let w(r) be the third derivative of -1/30*r**5 - 1/6*r**3 + 0 + 5/48*r**4 + 0*r + 8*r**2 + 1/240*r**6. Factor w(z).
(z - 2)*(z - 1)**2/2
Let z(r) = r**5 + 7*r**4 - r**3 + 5*r**2 - 4*r - 8. Let n(x) = x**5 + 6*x**4 + 4*x**2 - 3*x - 6. Let b(d) = -4*n(d) + 3*z(d). Solve b(v) = 0 for v.
-1, 0
Let q(u) be the first derivative of -3*u + 1/12*u**4 - 1/2*u**2 - 6 + 0*u**3. Let n(y) be the first derivative of q(y). Suppose n(d) = 0. Calculate d.
-1, 1
Let f(p) be the second derivative of 8*p + 3 - 7/6*p**3 + 1/24*p**4 + 49/4*p**2. Suppose f(v) = 0. Calculate v.
7
Let d be (-4)/(-10) + (-48)/(-30). Let -2 + 2*y + 2*y**3 - 5*y + y + 0*y + 2*y**d = 0. What is y?
-1, 1
Let h be 16 + -21 - (0 + -5). Determine a, given that h*a - 2/9*a**3 + 0 - 2/9*a**2 = 0.
-1, 0
Let k(x) be the second derivative of x**4/3 - 16*x**3/3 + 30*x**2 + 17*x. Factor k(a).
4*(a - 5)*(a - 3)
Let z(l) = l**2 - l + 1. Let r(h) = -2*h**2 + h + 2. Let t(p) = 3*r(p) + 3*z(p). Let k(u) = -3*u**2 + u + 9. Let v(c) = -6*k(c) + 5*t(c). Solve v(b) = 0.
-1, 3
Let k be 2/(-1*(-6)/