37. What is i in -1/3*i**3 + i**4 + 2/3*i - p*i**5 + 0 - i**2 = 0?
-1, 0, 1, 2
Let p be -10 - (3/36 + 9/(-12)). Let o = p + 65/6. Find v, given that -1/2*v**3 - o*v + 1/2 + 3/2*v**2 = 0.
1
Let z = -4644 - -18579/4. Suppose 3/2*j**2 - 3/4*j + z*j**3 - 3/2 = 0. What is j?
-2, -1, 1
Suppose 4*v - 13 = 51. Let z be 7/((-28)/16) + v. Find f, given that z*f**2 + 6*f**2 + 4*f - 4*f**3 - 23 + 7 - 2*f**2 = 0.
-1, 1, 4
Let d(o) be the first derivative of o**4/7 - 16*o**3/7 - 30*o**2/7 + 104*o/7 + 96. Find j such that d(j) = 0.
-2, 1, 13
Let d(s) be the first derivative of -3*s**5/35 + 3*s**4/4 - 4*s**3/7 - 18*s**2/7 + 163. Let d(m) = 0. Calculate m.
-1, 0, 2, 6
Let x(j) be the first derivative of 2*j**3/45 - 2*j**2/15 - 2*j - 52. What is c in x(c) = 0?
-3, 5
Let m(c) be the third derivative of c**10/35280 - 3*c**8/7840 - c**7/1470 - 3*c**4/8 + 3*c**2. Let n(k) be the second derivative of m(k). Factor n(z).
6*z**2*(z - 2)*(z + 1)**2/7
Suppose 14 = 3*u + 4*a, 4*a = u + a + 4. Factor 2/3*z**2 + u + 8/3*z.
2*(z + 1)*(z + 3)/3
Let r be (-3)/(-12) + (52/(-16))/1. Let c be (-20)/15*(1 + r)/4. Determine i so that 0 - 4/3*i**2 - 1/3*i + 4/3*i**4 - c*i**3 + i**5 = 0.
-1, -1/3, 0, 1
Let w(y) = 6*y**4 + 10*y**3 + 2*y**2 - 4*y. Let i(x) be the third derivative of x**7/210 - 14*x**2. Let c(o) = -2*i(o) + w(o). Find v such that c(v) = 0.
-2, -1, 0, 1/2
Suppose -10 = -a - 5*v, 12*a + 5*v - 15 = 10*a. Factor -72*r**2 - 36*r**3 - 8*r**4 - 54*r + 0 - 2/3*r**a.
-2*r*(r + 3)**4/3
Let u be 6/6 - ((-20)/(-10) - 3)*-1. Factor 0 - 3/5*q**3 + 3/5*q + u*q**2.
-3*q*(q - 1)*(q + 1)/5
Let x(c) be the second derivative of 8*c + 1/150*c**5 + 0*c**2 - 2/225*c**6 + 0 + 1/90*c**4 + 0*c**3. Suppose x(l) = 0. What is l?
-1/2, 0, 1
Factor 64*p**4 + 25/2 - 848*p**3 + 612*p**2 - 151*p.
(2*p - 25)*(4*p - 1)**3/2
Let z(j) = -j**3 - 5*j**2 + j - 15. Let k be z(-6). Suppose o - 20 + k = -3*n, -2*o = -2*n + 14. Solve 22/15*b**2 - 26/15*b + 8/15 - 4/15*b**n = 0 for b.
1/2, 1, 4
Let s(b) = -2*b**2 + 83*b - 81. Let n(i) = i**2 - 28*i + 27. Let u be (2/(4/(-3)))/((-6)/8). Let f(q) = u*s(q) + 7*n(q). Let f(x) = 0. Calculate x.
1, 9
Let z(k) = k**3 + 15*k**2 - 16*k + 4. Let l be z(-16). Solve 5*m**2 - 7 - 4*m + 5*m + l*m - 3 = 0.
-2, 1
Let n be (-30)/50 - (-295)/450. Let x(h) be the first derivative of 12 - 1/27*h**6 - n*h**4 + 0*h**2 - 4/45*h**5 + 0*h**3 + 0*h. Factor x(b).
-2*b**3*(b + 1)**2/9
Let d(t) = 4*t**2 - t. Let x(j) = 9*j**2 - 8*j - 16. Let q(u) = 2*d(u) - x(u). Factor q(a).
-(a - 8)*(a + 2)
Let n = -14 - -15. Let z be 0/n - -2*1. Solve z*y - 2*y - 14*y**2 + 17*y**2 - 3 = 0 for y.
-1, 1
Let b(t) be the second derivative of -t**8/1848 - 2*t**7/1155 + t**5/165 + t**4/132 + 19*t**2/2 + 12*t. Let a(m) be the first derivative of b(m). Factor a(k).
-2*k*(k - 1)*(k + 1)**3/11
Let k(b) be the first derivative of -5*b - 2/3*b**4 - 1/5*b**5 - 7 + 0*b**2 - 2/3*b**3. Let r(a) be the first derivative of k(a). Factor r(v).
-4*v*(v + 1)**2
Let 192/5 + 12/5*k**4 + 928/5*k**2 + 18/5*k**5 - 80*k**3 - 736/5*k = 0. Calculate k.
-6, 2/3, 2
Let m = 27 - -1. Suppose 7*q + 7 - m = 0. Let 21*t**2 - 12 + 4*t**5 - t**5 + t**q - 4*t**3 - 9*t**4 = 0. Calculate t.
-1, 1, 2
Let u(n) = -5*n**3 - n**2 + 9. Let v(t) = -t**3 + 2. Let p(g) = -g**3 + g**2 + 4*g - 2. Let s be p(2). Let a(b) = s*u(b) - 9*v(b). What is l in a(l) = 0?
-2, 0
Factor 9/7 + 12/7*b**2 - 39/7*b.
3*(b - 3)*(4*b - 1)/7
Let h(v) = -v**3 + v**2 - v + 1. Let n(m) = -4*m**3 + 10*m**2 - 3*m - 3. Let p(u) = -5*h(u) + n(u). Determine l so that p(l) = 0.
-4, -2, 1
Let h(t) be the second derivative of 1/4*t**5 + 0 + 13*t - 5*t**2 - 5/3*t**4 + 25/6*t**3. Factor h(w).
5*(w - 2)*(w - 1)**2
Suppose 2*q = -5*m - 6, 0 = -3*q + 2*m - 48 + 58. Factor 2/7*w**q + 0*w + 2/7*w**3 + 0.
2*w**2*(w + 1)/7
Let g be 1/(-2) + -106*5/40. Let n = g + 14. Factor 0*x + 0*x**2 - 1/2*x**4 + 1/4*x**5 + 0 + n*x**3.
x**3*(x - 1)**2/4
Let u(h) be the first derivative of -4*h**5/15 - 34*h**4/3 - 176*h**3 - 3388*h**2/3 - 5324*h/3 + 27. Factor u(w).
-4*(w + 1)*(w + 11)**3/3
Let n(f) be the first derivative of -f**9/16632 + f**7/4620 + 26*f**3/3 + 5. Let u(i) be the third derivative of n(i). Find x such that u(x) = 0.
-1, 0, 1
Let k = 67 + -60. Let a(i) be the third derivative of 4/21*i**k - 29/36*i**6 + 0*i - 4*i**2 + 0 - 5/3*i**4 + 5/3*i**5 - 1/56*i**8 + 8/9*i**3. Factor a(q).
-2*(q - 2)**3*(3*q - 1)**2/3
Let q(v) = v**2. Let b(w) = -12*w**3 - 77*w**2 - 43*w - 6. Let p(h) = -b(h) + 2*q(h). Suppose p(a) = 0. What is a?
-6, -1/3, -1/4
Let h = 57425/4 - 14351. Find f, given that 3/2*f - h*f**2 - 3*f**3 + 0 = 0.
-2, 0, 1/4
Let w be -3 - 1 - -6 - -2. Let h(g) be the third derivative of -3/5*g**3 - 7/150*g**5 + 1/4*g**w + 0 + 1/300*g**6 + 10*g**2 + 0*g. Factor h(y).
2*(y - 3)**2*(y - 1)/5
Let 4/3 + 0*n**2 + 2*n - 2/3*n**3 = 0. Calculate n.
-1, 2
Determine m, given that -1142 + 5*m**3 + 1142 - 160*m**2 = 0.
0, 32
Let x be (-14)/((-70)/(-10)) + (-309)/(-153). Let g(t) be the second derivative of 0*t**2 + 0 - 11*t + x*t**3 + 1/102*t**4. Let g(n) = 0. Calculate n.
-1, 0
Let c(t) be the third derivative of 0 + 0*t + 1/49*t**7 - 1/294*t**8 - 19/210*t**5 + 3*t**2 - 2/105*t**6 + 4/21*t**3 + 1/7*t**4. Find s such that c(s) = 0.
-1, -1/4, 1, 2
Let z(v) be the first derivative of v**7/840 - v**5/240 - 9*v**2/2 - 1. Let q(t) be the second derivative of z(t). Determine k so that q(k) = 0.
-1, 0, 1
Suppose -34 - 10*l**2 + 8*l**2 + 153*l - 117*l = 0. Calculate l.
1, 17
Let s be -2*1 + (-4 - -10)*(19 + -18). Factor 1/2*j**5 + j**2 + 0*j + 0 - j**s - 1/2*j**3.
j**2*(j - 2)*(j - 1)*(j + 1)/2
Solve -5/2*b**2 - 35/2*b + 0 = 0.
-7, 0
Let k(n) = 2*n**2 + 1. Let i(b) = b + 9. Let l be i(-8). Let s be k(l). Factor -s*g + 21/2*g**3 + 0 + 15/2*g**2.
3*g*(g + 1)*(7*g - 2)/2
Let s(y) be the third derivative of -y**5/75 + 7*y**4 - 1470*y**3 + 51*y**2 + 1. Factor s(q).
-4*(q - 105)**2/5
Factor 0 - 76/5*g**2 + 2/5*g**3 + 722/5*g.
2*g*(g - 19)**2/5
Suppose -4 - 8 = -3*h, g = 5*h - 21. Let l be g*(-4)/(-4) + 22. Let l*f**3 - 7 + 36*f**2 + 2*f + 7*f + 1 = 0. Calculate f.
-1, 2/7
Factor -15*b + 9/5*b**2 + 24/5.
3*(b - 8)*(3*b - 1)/5
Let y be (-4)/(-3)*(-9)/(-6). Find i, given that 2*i**3 + 3*i**2 - i - i**y + i = 0.
-1, 0
Factor 112/5*g - 2/5*g**2 - 22.
-2*(g - 55)*(g - 1)/5
Let t(f) be the first derivative of f**4/8 - 317*f**3/12 + 1580*f**2 - 6241*f/4 - 44. Factor t(x).
(x - 79)**2*(2*x - 1)/4
Let k = 303 - 300. Let t(g) be the first derivative of 2/9*g**k + 1/9*g**2 + 2/45*g**5 + 1/6*g**4 + 0*g - 6. Solve t(o) = 0 for o.
-1, 0
Let g(r) = r**3 - r**2 + 1. Let v(n) = -2*n**3 - n**2 - 5. Let x(s) = 5*g(s) + v(s). Factor x(j).
3*j**2*(j - 2)
Let t(j) be the first derivative of -j**8/336 + j**6/60 - j**4/24 + 5*j**2 + 3. Let k(i) be the second derivative of t(i). Solve k(s) = 0.
-1, 0, 1
Let l(i) be the second derivative of i**6/5 + 21*i**5/20 + 3*i**4/2 - i**3/2 - 3*i**2 - 53*i. Determine w so that l(w) = 0.
-2, -1, 1/2
Let p(w) = -5*w - 20. Let n be p(-5). Let h be (1/n - 70/100)*-4. Suppose 0*z**h - 8/5*z + 8/5*z**3 + 4/5 - 4/5*z**4 = 0. Calculate z.
-1, 1
Let o(x) = -3*x**2 + 3. Let m be o(0). Factor -2/11*i**m - 4/11*i**2 + 0 - 2/11*i.
-2*i*(i + 1)**2/11
Let o = 4728 + -4724. Factor -4/17*q**2 + 6/17*q**5 + 14/17*q**3 + 0*q - 16/17*q**o + 0.
2*q**2*(q - 1)**2*(3*q - 2)/17
Let b be (-2)/(-6)*(-129)/(-301). Let u(t) be the second derivative of 0 - 2*t - 2/21*t**3 + 1/42*t**4 + b*t**2. Solve u(f) = 0 for f.
1
Let g be (-4 - 2) + (-1 + 2)*0. Let h(v) = -11*v - 66. Let w be h(g). Find l, given that -4/5*l + w*l**2 + 1/5*l**3 + 0 = 0.
-2, 0, 2
Let j(w) be the second derivative of 0*w**2 + 1/16*w**3 + 0 - 1/32*w**4 - 28*w. Factor j(p).
-3*p*(p - 1)/8
What is r in -11*r**3 - r**2 - 1/2*r**5 + 13/2*r**4 + 23/2*r - 11/2 = 0?
-1, 1, 11
Let t = -14 + 16. Let m be (t*-1)/(1/(-2)). Factor -3*k**4 - 4*k**3 - 4*k**2 + k + m*k**5 - k + 7*k**4.
4*k**2*(k - 1)*(k + 1)**2
Suppose 6/7*t**2 + 0*t + 2/7*t**5 - 2/7*t**3 - 6/7*t**4 + 0 = 0. What is t?
-1, 0, 1, 3
Let r = 3519 - 3519. Suppose r + 1/2*x**3 - 1/6*x**4 + 1/6*x - 1/2*x**2 = 0. What is x?
0, 1
Find f such that 0 + 0*f - 2/3*f**3 + 2/3*f**5 - 2/9*f**2 + 2/9*f**4 = 0.
-1, -1/3, 0, 1
Suppose 1/2*a - 1/4*a**3 + 0 - 1/4*a**2 = 0. Calculate a.
-2, 0, 1
Let l(x) = -92*x + 4. Let a be l(2). Let n be 