0*h - 58. Let i be d(-3). Let b(w) be the first derivative of -2/15*w**3 + 1 - 2/5*w**i - 2/5*w. Let b(z) = 0. Calculate z.
-1
Let k(y) be the third derivative of y**6/40 + y**5/4 + y**4 + 2*y**3 - 47*y**2. Factor k(w).
3*(w + 1)*(w + 2)**2
Let c = -587 - -593. Let n(v) be the second derivative of -c*v + 0 - 1/20*v**4 - 3/100*v**5 + 0*v**2 + 0*v**3. What is q in n(q) = 0?
-1, 0
Let f = -98 - -68. Let d be (-6)/f - 28/(-10). Factor 30*t**3 - 3*t**2 - 4 - 18*t - 8*t**2 + d*t**2 + 0*t**2.
2*(t - 1)*(3*t + 1)*(5*t + 2)
Let u = 45 + -42. Let m(z) be the third derivative of 1/2*z**4 + 0*z + 4*z**2 + 1/20*z**5 + 0 + 2*z**u. Factor m(c).
3*(c + 2)**2
Factor 45 + 2*s**3 + 210*s**2 - 107*s**2 - 74*s + 11 - 69*s**2 - 18.
2*(s - 1)**2*(s + 19)
Factor 1459*q - 2456*q - 2756*q**2 - 4*q**4 + 204*q**3 + 10473*q - 256*q**2 + 12696.
-4*(q - 23)**2*(q - 6)*(q + 1)
Suppose 133 - 31 = 17*b. Let c(t) be the third derivative of 1/210*t**b - 7*t**2 + 0 + 0*t + 0*t**5 - 1/14*t**4 + 4/21*t**3. Factor c(z).
4*(z - 1)**2*(z + 2)/7
Let o(n) be the third derivative of -2*n**7/105 - n**6/6 + 2*n**5/15 + 4*n**4 + 128*n**2 + 2*n. Factor o(y).
-4*y*(y - 2)*(y + 3)*(y + 4)
Suppose -2/3*x**3 + 0 - 30*x**2 + 0*x = 0. Calculate x.
-45, 0
Let f = -668 + 668. Factor f*j**2 + 1/4*j**3 + 0*j + 0.
j**3/4
Let w(o) = 4*o**2 - 44. Let x be w(9). Let r = x - 839/3. Suppose 1/2*m**2 + 1/6*m**3 + 0 + r*m = 0. What is m?
-2, -1, 0
Factor 27/4*a + 1/4*a**2 - 7.
(a - 1)*(a + 28)/4
Let r(t) = -83*t - 77. Let c be r(-1). Let a(v) be the first derivative of 4/5*v**3 + 4/5*v**5 + 1/5*v**2 + 1/5*v**c + 0*v - 9 + 6/5*v**4. Factor a(l).
2*l*(l + 1)**3*(3*l + 1)/5
Let d(l) be the third derivative of l**8/2688 - 19*l**7/840 + l**6/3 + 5*l**5/3 + l**2 - 44*l. Find x such that d(x) = 0.
-2, 0, 20
Suppose 5*r - 22 = 2*p - 26, -8 = -4*p + 5*r. Let g(c) be the first derivative of 11 + 2/13*c**p - 2/39*c**3 + 2/65*c**5 - 1/13*c**4 + 0*c. Factor g(q).
2*q*(q - 2)*(q - 1)*(q + 1)/13
Let -3 - 14*j - 184*j**3 + 2*j**2 - 5 - 8*j**2 + 2*j**2 + 186*j**3 = 0. What is j?
-1, 4
Let x(w) be the second derivative of 2*w**7/7 + 8*w**6/5 - 321*w**5/20 + 157*w**4/4 - 43*w**3 + 24*w**2 - 234*w. Suppose x(a) = 0. What is a?
-8, 1/2, 1, 2
Suppose -b**2 + 5*b**2 - 15*b**4 + 18*b - 3*b**5 + 11*b**2 - 16*b**3 + b**3 = 0. What is b?
-3, -2, -1, 0, 1
Let k(d) be the first derivative of d**6/2 - 12*d**5/5 + 15*d**4/4 - 2*d**3 + 59. Factor k(m).
3*m**2*(m - 2)*(m - 1)**2
Let -16*i**2 + 12*i**4 - 13609*i - 4*i**3 + 13609*i = 0. What is i?
-1, 0, 4/3
Let t(j) be the first derivative of -j**4/3 - 28*j**3/9 - 28*j**2/3 - 32*j/3 + 62. Factor t(n).
-4*(n + 1)*(n + 2)*(n + 4)/3
Suppose -5*x + 18 = 4*d, -2*x + 9*d - 6 = 4*d. Suppose -13*p + 27 = -25. Solve -x*t**p + 2*t**5 - t**5 - t**3 - 2*t**5 = 0 for t.
-1, 0
Suppose 8*n - 4 = 6*n. Determine k, given that -2*k + 0*k - k**2 - 6 + n*k - 5*k = 0.
-3, -2
Suppose 38/9*j - 20/3 + 2/9*j**3 + 20/9*j**2 = 0. Calculate j.
-6, -5, 1
Suppose 0*o + 0 + 1/2*o**3 + 2*o**4 - 7*o**2 = 0. What is o?
-2, 0, 7/4
Let l be 1 + (2 - (-4 - -7)). Let c(a) be the third derivative of 5*a**2 + l*a**3 + 0 + 1/12*a**4 + 0*a - 1/60*a**5. Determine v so that c(v) = 0.
0, 2
Suppose -i - 4*s = -19, -6 + 20 = 2*i + 2*s. Suppose d**3 - 2*d**2 - 6*d**4 + 16*d**2 + 3*d + 3*d**i + d = 0. What is d?
-1, -1/3, 0, 2
Let p(r) be the first derivative of 0*r**2 - 1/12*r**3 - 1/16*r**4 + 1/24*r**6 + 0*r - 6 + 1/20*r**5. Factor p(n).
n**2*(n - 1)*(n + 1)**2/4
Let l(a) be the first derivative of -2*a**5/5 - 31*a**4/2 - 198*a**3 - 605*a**2 + 5324*a + 55. Factor l(m).
-2*(m - 2)*(m + 11)**3
Let m be 18/4 + (-2)/4. Suppose -24 + 39 = 46*u - 77. What is i in -4/7*i**5 - 8/7*i**u + 8/7*i**3 + 4/7 + 4/7*i**m - 4/7*i = 0?
-1, 1
Let s(m) be the third derivative of -m**8/3192 + m**7/1995 + m**6/190 + m**5/285 - 5*m**4/228 - m**3/19 + m**2 + m. Find k, given that s(k) = 0.
-1, 1, 3
Let d(m) be the second derivative of -1/39*m**3 + 0 + 1/130*m**5 + 7*m + 0*m**2 + 1/78*m**4 - 1/195*m**6. Factor d(g).
-2*g*(g - 1)**2*(g + 1)/13
Let i = 191 - 81. Let v be -1 - (i/25 - 6). Factor v*h**2 + 6/5*h + 0.
3*h*(h + 2)/5
Solve 3/7*b**5 + 102/7*b**2 + 69/7*b + 72/7*b**3 + 18/7 + 24/7*b**4 = 0.
-3, -2, -1
Let f(i) = 7*i + 14. Let k be f(-3). Let y be -2 + (5/(-7) - (4 + k)). Let 0 - 2/7*t**2 - y*t = 0. Calculate t.
-1, 0
Factor -3/5*v**2 + 0 - 12/5*v.
-3*v*(v + 4)/5
Factor -26*j**2 - 48 - 38628*j + 38708*j - j**4 + 12*j**3 - 22*j**2.
-(j - 6)*(j - 2)**3
Let x(r) = -r**4 - 2*r**3 - 3*r**2 + 2*r - 4. Suppose -2*h + 7*h = -35. Let v(p) = p**4 + 3*p**3 + 7*p**2 - 4*p + 7. Let d(u) = h*x(u) - 4*v(u). Factor d(w).
w*(w - 1)*(w + 2)*(3*w - 1)
Suppose 5*k = 5*f + 20, 2*f + 136*k - 139*k = -14. Suppose -1/4*t**f + 0 + 1/4*t - 1/4*t**3 + 1/4*t**4 = 0. Calculate t.
-1, 0, 1
Let w be ((-242)/(-33) - 8)*(-3)/4. Factor -w*t**2 + 2*t - 2.
-(t - 2)**2/2
Suppose -d = -0*d + 3*i + 10, 5*i + 14 = -3*d. Factor -6*h**3 + 6*h**d - 3*h**3 + 6*h**3.
-3*h**2*(h - 2)
Let a = -60/43 - -472/215. Factor -1/5*x**2 - a - 4/5*x.
-(x + 2)**2/5
Factor -118/3*l + 119/3 - 1/3*l**2.
-(l - 1)*(l + 119)/3
Let s(u) be the third derivative of -1/60*u**6 - 1/2*u**5 - 25/4*u**4 + 0 - 11*u**2 - 125/3*u**3 + 0*u. Solve s(v) = 0.
-5
Suppose 2*c - 6*c = -4. Factor 7*z**2 - z**3 - 6*z**2 - c + 1.
-z**2*(z - 1)
Let d = 7001 - 6996. Determine a, given that 16/15*a**3 - 2/15*a**d - 64/15 - 32/15*a - 4/15*a**4 + 32/15*a**2 = 0.
-2, 2
Let o(h) be the third derivative of h**6/120 + 3*h**5/20 + 5*h**4/8 + 3*h**3/2 - 7*h**2. Let t(x) be the first derivative of o(x). Find c, given that t(c) = 0.
-5, -1
Solve -11*g**5 - 17*g**5 - 18*g**5 - 369*g**3 + 237*g**2 + 183*g**4 + 34*g**5 - 39*g = 0.
0, 1/4, 1, 13
Let k(t) be the third derivative of 0 + 0*t**3 + 0*t**4 + 3*t**2 - 1/330*t**5 + 0*t. What is h in k(h) = 0?
0
Suppose 8*g = -3*g + 110. Factor 5*j**2 - j + j - g*j + 5*j.
5*j*(j - 1)
Let u(f) be the first derivative of 7*f**6/9 - 4*f**5/15 - 7*f**4 + 136*f**3/9 - 37*f**2/3 + 4*f + 45. Let u(x) = 0. Calculate x.
-3, 2/7, 1
Let c(d) = d**4 - 3*d**2 + d. Let m(l) = -4*l**4 + 12*l**3 + 44*l**2 + 18*l + 8. Let b(x) = 6*c(x) + m(x). Factor b(j).
2*(j + 1)**2*(j + 2)**2
Let i(y) be the second derivative of 27/2*y**2 + 1/4*y**4 + 9*y + 0 + 3*y**3. Find p such that i(p) = 0.
-3
Let f(k) be the first derivative of 8/105*k**5 - 6 - 1/63*k**6 - 1/21*k**2 + 8/63*k**3 + 0*k - 1/7*k**4. Factor f(o).
-2*o*(o - 1)**4/21
Let w = -3608/3 - -1203. Factor -5/6*d**2 + 0 + 1/2*d**3 + w*d.
d*(d - 1)*(3*d - 2)/6
Let t = -1973/9 - -1976/9. Suppose 2/3*q**2 + 0 + q**3 - t*q**5 + 0*q + 0*q**4 = 0. What is q?
-1, 0, 2
Let r(j) be the first derivative of -25 + 0*j - 1/2*j**5 - 9/4*j**4 + 2*j**2 - 2*j**3. Determine i so that r(i) = 0.
-2, 0, 2/5
Let q(a) = -a - 17. Let g be q(-19). Let d = -1/4 + g. Factor -d*s**2 + 1/2 + 5/4*s.
-(s - 1)*(7*s + 2)/4
Let v(i) be the second derivative of -i**8/53760 + i**7/5040 - i**6/1152 + i**5/480 + i**4/3 + 2*i. Let c(o) be the third derivative of v(o). Factor c(d).
-(d - 2)*(d - 1)**2/8
Let c = -23 - -35. Let -5*o**3 - 9*o + 3*o + 2*o**3 - c*o**3 - 21*o**2 = 0. Calculate o.
-1, -2/5, 0
Let s be (6/44)/((-387)/(-128) - 3). Factor 512/11 + 2/11*v**2 - s*v.
2*(v - 16)**2/11
Let p(x) be the first derivative of x**7/525 - x**5/150 + 13*x**2/2 + 8. Let h(j) be the second derivative of p(j). Let h(f) = 0. What is f?
-1, 0, 1
Let k(t) = -2*t - 4. Let v be k(-3). Suppose -y - 16 = 3*n + 4*y, 4*n - 7 = -y. Let -6*l**4 + n*l**2 - 2*l**3 + l**2 + 2*l**2 + 4*l - v*l = 0. Calculate l.
-1, -1/3, 0, 1
Suppose -s + 22 = 2*b, -5*b + 31 = s - 0*b. Let x be 1/(-4)*s/(-22). Factor 4/11*i**3 - 2/11 + x*i**4 + 0*i**2 - 4/11*i.
2*(i - 1)*(i + 1)**3/11
Let x(g) be the first derivative of -1/2*g - 1/24*g**3 - 8 + 1/4*g**2. Factor x(s).
-(s - 2)**2/8
Let f(a) = -9*a - 23. Let x(w) = w**2 + 9*w + 5. Let y be x(-8). Let d be f(y). What is t in 2/9*t**d + 2/9 + 4/3*t**2 + 8/9*t**3 + 8/9*t = 0?
-1
Let s(a) be the third derivative of a**7/350 + 7*a**6/200 - 9*a**5/100 - 7*a**4/40 + 4*a**3/5 + 5*a**2. Determine h so that s(h) = 0.
-8, -1, 1
Factor 10*o**2 + 3*o**3 - 2*o**3 - 6*o**3 + 60*o**2.
-5*o**2*(o - 14)
Let a(g) = -3 + 15*g + 5 - 5*g - 3*g**2. Let u(s) = -s**2 - s + 1. Let p(i) = 3*a(i) + 6*u(i). Determine q so that p(q) = 0.
-2/5,