*d**2 + 0*d**3 + 1/40*d**6. Let i(x) = 0. What is x?
-1, 0
Let f(q) be the first derivative of 58/45*q**5 + 4/9*q**6 - 2/9*q**2 - 76 + 10/9*q**4 + 2/27*q**3 + 0*q. Determine l so that f(l) = 0.
-1, -2/3, 0, 1/4
Suppose 20/19*c + 48/19 - 20/19*c**3 - 50/19*c**2 + 2/19*c**4 = 0. What is c?
-2, -1, 1, 12
Let x(l) be the third derivative of -l**5/105 + l**4/14 + 72*l**3/7 + 1214*l**2. Let x(f) = 0. What is f?
-9, 12
Let f(o) be the second derivative of o**4/3 - 20*o**3 + 112*o**2 - 1160*o. Determine y so that f(y) = 0.
2, 28
Let m(l) be the second derivative of l**6/10 - 27*l**5/20 - l**4/4 + 9*l**3/2 + 2*l - 7. Factor m(u).
3*u*(u - 9)*(u - 1)*(u + 1)
Let q = -14232/35 + 14526/35. What is m in q - 19/5*m - 1/5*m**2 = 0?
-21, 2
Suppose -8*v + 24*v + 12*v + 24*v = 0. Let n(o) be the second derivative of 2/3*o**3 + v + 13*o - 3*o**2 + 1/6*o**4. Factor n(a).
2*(a - 1)*(a + 3)
Let f(s) be the first derivative of 4*s**3/9 + 2*s**2/3 - 120*s - 7862. Let f(a) = 0. Calculate a.
-10, 9
Determine g so that -12 - 21*g + 12*g**2 + 52*g - g**3 - 17*g - 13*g + 0*g**3 = 0.
-1, 1, 12
Let p(t) be the second derivative of 0 - 17/2*t**2 - 1/90*t**5 + 1/18*t**4 + 0*t**3 - 14*t. Let i(d) be the first derivative of p(d). Factor i(m).
-2*m*(m - 2)/3
Let l(g) be the first derivative of 0*g - 1/4*g**2 - 1/24*g**6 - 1/12*g**3 - 93 + 3/16*g**4 + 1/20*g**5. Let l(y) = 0. What is y?
-1, 0, 1, 2
Let z(u) be the third derivative of u**5/60 - 53*u**4/12 + 797*u**2. Factor z(s).
s*(s - 106)
Let b(g) be the third derivative of g**5/120 + g**4/2 + 11*g**3/3 + 397*g**2. Let b(l) = 0. Calculate l.
-22, -2
Factor 3/8*d**2 + 0 - 11/8*d**3 + 0*d + d**4.
d**2*(d - 1)*(8*d - 3)/8
Let p(f) be the second derivative of -7*f**7/27 + 112*f**6/45 + 706*f**5/45 + 208*f**4/9 + 320*f**3/27 - 312*f. Determine x so that p(x) = 0.
-2, -4/7, 0, 10
Let f = -2534701/3 - -844901. Find w, given that 0 + 128/3*w + f*w**3 + 32/3*w**2 = 0.
-8, 0
Let d(m) be the first derivative of -m**5/10 - 4*m**4/3 + 19*m**3/3 - m**2/2 + 113*m + 150. Let f(i) be the second derivative of d(i). Solve f(k) = 0.
-19/3, 1
Let x(b) be the first derivative of -63075*b**4/8 + 435*b**3 - 27*b**2/4 + 139. Factor x(d).
-3*d*(145*d - 3)**2/2
Let n be (-36)/((11 - 2) + -13) - (10 + -5). Determine i, given that 62/5*i**4 + n*i - 8/5*i**5 - 24*i**3 + 46/5*i**2 + 0 = 0.
-1/4, 0, 1, 2, 5
Let g(y) be the first derivative of -11 + 5*y**2 - 6*y - 1/2*y**4 - 2/3*y**3. Factor g(t).
-2*(t - 1)**2*(t + 3)
Let o be -1 - ((-20)/55 - 684/660). Suppose 0 = 2*m - 4*h + 8, h + 2*h - 6 = 0. Factor -o*r**3 + m + 0*r**2 + 8/5*r.
-2*r*(r - 2)*(r + 2)/5
Let g(r) = -r**2 + 40*r - 282. Let o be g(10). Let f(h) be the second derivative of 0*h**2 - 3/4*h**4 + o*h + 2*h**3 + 0 + 3/40*h**5. Factor f(m).
3*m*(m - 4)*(m - 2)/2
Factor 5/4*q**2 - 1/2*q**3 + 7/4*q + 0.
-q*(q + 1)*(2*q - 7)/4
Let v(t) = 3*t**2 + t + 45. Let j be v(0). Suppose 15*y = j*y - 60. Let 0*k + k**4 - 4/3*k**y - 3*k**5 + 0 + 8/3*k**3 = 0. Calculate k.
-1, 0, 2/3
Let j(v) be the second derivative of v**5/180 - v**3/18 + 66*v**2 - 196*v. Let g(p) be the first derivative of j(p). Factor g(z).
(z - 1)*(z + 1)/3
Let z = 157 + -155. Factor -1 - 16*g**3 + 46*g**2 - 20*g - 151*g**2 + 71*g**2 + 1 - z*g**4.
-2*g*(g + 1)*(g + 2)*(g + 5)
Let t(m) be the second derivative of m**6/90 - m**5/40 - m**4/36 + 137*m. Factor t(s).
s**2*(s - 2)*(2*s + 1)/6
Let p(c) be the first derivative of 3*c**4/16 + c**3/3 - 15*c**2/8 + 4949. Factor p(v).
v*(v + 3)*(3*v - 5)/4
Let m(v) be the third derivative of v**5/150 - 7*v**4/5 + 803*v**3/15 - 323*v**2 - 10*v. Factor m(o).
2*(o - 73)*(o - 11)/5
Solve -1830/13*k + 450/13 - 6/13*k**5 + 98/13*k**4 - 596/13*k**3 + 1628/13*k**2 = 0.
1/3, 3, 5
Suppose 347*g + 577 = 1271. What is h in h - 1/8*h**g + 0 = 0?
0, 8
Suppose -o = 4*o + 2*x - 450, 3*o = 3*x + 249. Suppose 0 = 2*c + 6*c - o. What is i in i**3 - c*i - 48 + 15 - 4*i**2 + 27 = 0?
-1, 6
Let l(t) be the second derivative of 0 + 0*t**2 - 27*t + 1/2*t**5 - 1/3*t**4 + 7/15*t**6 + 0*t**3. Factor l(w).
2*w**2*(w + 1)*(7*w - 2)
Let k(u) be the first derivative of u**6/135 - u**5/30 + u**4/54 + u**3/9 - 2*u**2/9 + 301*u + 84. Let m(t) be the first derivative of k(t). Factor m(c).
2*(c - 2)*(c - 1)**2*(c + 1)/9
Suppose 473*i - 188*i = -523*i + 165*i - 875*i. Factor 50/13*c**3 + i*c**2 + 2/13*c**5 + 0*c - 20/13*c**4 + 0.
2*c**3*(c - 5)**2/13
Suppose -12*d - 826 = -850. Suppose -3*i = -11 - 1. Let -87 + 87 - i*h**d = 0. Calculate h.
0
Let j(x) be the second derivative of x**6/150 + 113*x**5/100 + 1721*x**4/30 + 2178*x**3/5 - 20412*x**2/5 - 2271*x. Factor j(t).
(t - 2)*(t + 7)*(t + 54)**2/5
Let -195066/5*y**2 - 3/5*y**4 - 1524/5*y**3 - 385572/5*y - 192027/5 = 0. What is y?
-253, -1
Let 248/7*r + 4/7*r**4 + 32 - 12/7*r**2 - 32/7*r**3 = 0. Calculate r.
-2, -1, 4, 7
Let d be (7/(-12 - ((-7)/2 - 16)))/((-2)/(-36)). Factor -22/5*j - 2/5*j**2 + d.
-2*(j - 3)*(j + 14)/5
Suppose 16*x = -2*m + 112, -x + 386 = -4*m + 379. Find o, given that 0*o**2 - 2/5*o**5 + m*o**4 + 0 + 0*o**3 + 0*o = 0.
0
Let w(u) be the third derivative of 6*u**2 + 0*u**5 + 1/240*u**6 + 0 + 0*u - 1/96*u**4 + 0*u**3 + 0*u**7 - 1/1344*u**8. Let w(p) = 0. Calculate p.
-1, 0, 1
Let p = -193 - -202. Let a be (-6)/(-2 + -4)*5/p. Determine s, given that 2/3*s**3 - 1/9*s**4 + 0 - a*s**2 + 0*s = 0.
0, 1, 5
Let d(p) = 18*p**2 + 11*p - 19. Let i be d(-5). Let k = 378 - i. Let -1/2 + k*q**2 - 3/4*q**3 - 3/4*q = 0. What is q?
-1/3, 1, 2
Let m(g) = -4*g**3 + 271*g**2 - 4896*g + 4634. Let y(q) = 4*q**3 - 272*q**2 + 4896*q - 4632. Let t = -94 + 89. Let w(h) = t*y(h) - 4*m(h). Solve w(a) = 0 for a.
1, 34
Factor -60 - 2/7*c**2 + 94/7*c.
-2*(c - 42)*(c - 5)/7
Let i(p) = -793*p**2 + 10301*p + 109. Let j be i(13). What is t in 20/3*t + j + 5/3*t**2 = 0?
-3, -1
Let p(x) be the second derivative of x**7/84 + x**6/20 - 11*x**5/20 - 15*x**4/4 - 9*x**3/4 + 135*x**2/4 - 8883*x. Factor p(y).
(y - 5)*(y - 1)*(y + 3)**3/2
Factor 5*y**4 - 124989*y**2 + 0*y + 124997*y**2 + 0*y**3 - 17*y**3 + 12*y.
y*(y - 2)**2*(5*y + 3)
Let w(t) = 23*t**2 - 19952*t - 20100125. Let a(s) = 19*s**2 - 19966*s - 20100125. Let m(r) = -7*a(r) + 6*w(r). Let m(b) = 0. What is b?
-2005
Factor -56*g**2 - 36992/3 + 1496*g + 2/3*g**3.
2*(g - 34)**2*(g - 16)/3
Let w(m) be the second derivative of -m**4/6 - 2*m**3/3 - 3*m**2 + m. Let s(j) = -j + j + 43127*j**2 - 43128*j**2. Let d(h) = 4*s(h) - w(h). Factor d(l).
-2*(l - 3)*(l + 1)
Let u = 3528 - 3522. Let p(y) be the third derivative of -11*y**2 + 0 - 4/315*y**7 - 4/9*y**4 + 0*y**u + 0*y**3 + 0*y + 1/504*y**8 + 8/45*y**5. Factor p(l).
2*l*(l - 2)**3*(l + 2)/3
Suppose 42 - 364 = -14*g. Factor -g*t**4 + 69*t**4 + 3*t**3 - 3*t + 9*t**2 - 30*t**4 - 25*t**4.
-3*t*(t - 1)*(t + 1)*(3*t - 1)
Let f = 4/651 - 142/46655. Let q = f - -256/645. Factor -2/5 + 0*g + q*g**2.
2*(g - 1)*(g + 1)/5
Let w(m) = m**2 + m - 4. Let j(b) = -4*b**2 - 6*b + 21. Let y(k) = j(k) + 5*w(k). Let t(s) = -4*s**2 + 3*s - 8. Let o(v) = -4*t(v) - 20*y(v). Factor o(u).
-4*(u - 3)*(u + 1)
Let h be 3/2*16/30. Suppose -5*y = 9*z - 8*z - 7, 5 = 5*y. Determine q so that -2/5*q**z - 2/5 + h*q = 0.
1
Let j be (9/6 + -6 + 8 - (12 + -16)) + 9. Let 1/4*g**2 - j*g + 0 = 0. What is g?
0, 66
Let t = -104/47 - -3791/1692. Let k(j) be the second derivative of 8*j + 1/6*j**2 + 0 + t*j**3 - 1/36*j**4 - 1/120*j**5. Suppose k(r) = 0. Calculate r.
-2, -1, 1
Let w(b) be the third derivative of 1/224*b**8 + 0 + 127*b**2 + 1/16*b**4 + 1/70*b**7 - 1/10*b**5 - 1/40*b**6 + 0*b + 1/2*b**3. Let w(z) = 0. Calculate z.
-2, -1, 1
Let k(t) be the first derivative of -t**3/3 - 175. Let b(d) = -5*d**3 + 30*d**2 - 35*d. Let f(z) = -b(z) + 10*k(z). Factor f(v).
5*v*(v - 7)*(v - 1)
Determine z, given that 241*z**2 - 226*z**3 - 3*z**5 - 414*z**2 - 805*z - 80*z**4 - 2*z**5 + 1036*z**3 + 253*z**2 = 0.
-23, -1, 0, 1, 7
Let f be 12/(-42) - 660/(-154). Let s(v) be the second derivative of -6*v + 1/6*v**f + 0*v**2 - 4/3*v**3 + 0. Factor s(q).
2*q*(q - 4)
Suppose 8294728 - 8294128 - 2220*j - 17*j**3 - 4*j**3 + 426*j**2 = 0. What is j?
2/7, 10
Solve -4/3*j**2 + 76*j - 2024/3 = 0.
11, 46
Let l(s) be the third derivative of -s**6/60 - 83*s**5/15 - 394*s**2 + 6. Find m, given that l(m) = 0.
-166, 0
Let i(n) be the second derivative of -n**4/12 + 17*n**3/3 - 144*n**2 - 4