se -34 + q - 45*d - 36 + 45*d**2 = 0. Calculate d.
1/3, 2/3
Solve 58/7*v**3 - 2/7*v**5 - 4/7*v**4 + 16 - 40/7*v - 92/7*v**2 = 0.
-7, -1, 2
Let y(x) be the second derivative of -5*x**4/12 - 5*x**3/6 + 5*x**2 - 3*x - 30. Factor y(o).
-5*(o - 1)*(o + 2)
Let j(p) be the first derivative of -p**3 - 249*p**2 - 20667*p + 112. Suppose j(k) = 0. Calculate k.
-83
Let s(u) be the first derivative of 2*u**5/5 + 5*u**4 + 14*u**3 - 40*u**2 - 200*u + 55. Factor s(v).
2*(v - 2)*(v + 2)*(v + 5)**2
Suppose -5*w = 3*o - 21, 21 = 2*o + 3*w - 2*w. Factor 1 + 147*d + 6*d**2 + o*d**3 - 3 - 3*d**5 - 156*d - 4.
-3*(d - 2)*(d - 1)*(d + 1)**3
Let d(f) be the first derivative of -f**3/24 + 13*f**2/16 + 57*f/4 - 726. Suppose d(b) = 0. Calculate b.
-6, 19
Let l be -2 + 173/26 + (-28)/182. Let 39/2*w**2 + l*w**3 + 20*w + 6 = 0. What is w?
-3, -2/3
Let a(o) be the first derivative of -1 - 2/3*o**6 + o**4 + 0*o + 4/5*o**5 - 4/3*o**3 + 0*o**2. Factor a(g).
-4*g**2*(g - 1)**2*(g + 1)
What is z in -1/2*z**4 + 34*z**3 - 99*z**2 + 98*z - 65/2 = 0?
1, 65
Let d(w) = -18*w**2. Let h be d(-1). Let s = h - -46. Suppose 0 + 6*z**5 - 20*z**2 + 4 - 4*z**2 + 44*z**3 - s*z**4 - 2*z = 0. What is z?
-1/3, 1, 2
Let i(o) be the first derivative of o**6/6 + 2*o**5 + 13*o**4/4 - 20*o**3 + 18*o**2 + 28. Factor i(l).
l*(l - 1)**2*(l + 6)**2
Let h(u) be the first derivative of -1/14*u**4 - 8/21*u**3 - 4/7*u - 5/7*u**2 - 8. Factor h(s).
-2*(s + 1)**2*(s + 2)/7
Let k = -117/226 - -573/452. Find i, given that 3/2 + 3*i**2 + k*i**3 + 15/4*i = 0.
-2, -1
Suppose -4*q + 6 = -2*f, 4*q = 5*f - 1 - 2. Suppose 5 - 4*l - 5*l - l - 4*l**4 + 10*l**f - l**4 = 0. What is l?
-1, 1
Factor 42*z**4 + 174*z**4 - 6*z**3 - 26*z**3 - 52*z**5.
-4*z**3*(z - 4)*(13*z - 2)
Suppose -5*r = -4*t - 31, 0 = 2*r - 5*r + 2*t + 17. Factor -4*m**r - 5*m**2 + 2*m - 3*m**2 + 8 + 2*m.
-4*(m - 1)*(m + 1)*(m + 2)
Let c(p) = p**3 + p**2 - 1. Let m be 10/(5 + -7) - 7. Let y(u) = -3*u**3 - 3*u**2 - 4*u. Let s(v) = m*c(v) - 3*y(v). What is g in s(g) = 0?
-2, -1, 2
Suppose 2*o + 3*l = 21, -14*l - 77 = 2*o - 25*l. Solve 0 + o*g**2 - 4/7*g**4 + 8/7*g**3 + 0*g = 0 for g.
0, 2
Factor -17*g + 4*g - 3*g**2 - 11*g - 11*g - 2*g**2.
-5*g*(g + 7)
Let y = 83/8 + -245/24. Let x(r) be the second derivative of 0 - y*r**4 - 1/3*r**3 + 0*r**2 + 1/10*r**5 + 4*r + 1/15*r**6. Factor x(o).
2*o*(o - 1)*(o + 1)**2
Let n = 285/4 - 71. Suppose -2 = 2*o + b - 11, 0 = -b + 5. Factor -1/4*p + n*p**3 + 0 + 0*p**o.
p*(p - 1)*(p + 1)/4
Suppose -17 = -d - 13*l + 8*l, -3*d - 5*l + 21 = 0. Let s(b) be the third derivative of 1/6*b**3 + 0*b + 1/40*b**5 + 0 - 7/48*b**4 + 2*b**d. Factor s(v).
(v - 2)*(3*v - 1)/2
Let d(r) be the third derivative of -r**3 - 12*r**2 - 1/540*r**5 + 0*r**4 + 1/1620*r**6 + 0 + 0*r. Let u(s) be the first derivative of d(s). Factor u(z).
2*z*(z - 1)/9
Let j = -488 + 494. Let g(v) be the second derivative of -46/15*v**3 - 4/5*v**2 + 243/100*v**5 + 243/25*v**j - v + 0 - 9/2*v**4. Factor g(s).
(2*s - 1)*(9*s + 2)**3/5
Let c = -27 + 30. Factor -w**3 - 3*w**2 + 3*w - w**c + w + w**4 + 4.
(w - 2)**2*(w + 1)**2
Let p = 4578 - 18311/4. Find u such that -5/4 - p*u**2 + 3/2*u = 0.
1, 5
Suppose -66 - 91 - 123 = -56*t. Factor 5/3*a**3 - 5/3*a**4 + 0*a + 0 + 5/3*a**2 - 5/3*a**t.
-5*a**2*(a - 1)*(a + 1)**2/3
Let g(a) be the second derivative of -3*a**5/20 + 3*a**4/4 + 8*a**3 + 18*a**2 + 179*a. Factor g(n).
-3*(n - 6)*(n + 1)*(n + 2)
Let g(o) be the first derivative of 35/3*o**3 + 21*o - 1 - 24*o**2. Let a(f) = -69*f**2 + 96*f - 41. Let p(s) = 3*a(s) + 5*g(s). Solve p(c) = 0.
3/4
Let j(q) be the third derivative of -q**6/840 + 79*q**5/420 - 155*q**4/168 + 11*q**3/6 - 440*q**2. What is w in j(w) = 0?
1, 77
Let r(w) = 2*w**2 - w + 1. Let x be r(1). Suppose -32 = -3*y + t - 3*t, x*t - 16 = -y. Factor -y*j + 6*j + 0*j**3 + 2*j**3.
2*j*(j - 1)*(j + 1)
Factor 0 + 40/7*m + 1/7*m**2.
m*(m + 40)/7
Factor 42/13*y - 44/13 + 2/13*y**2.
2*(y - 1)*(y + 22)/13
Let b(j) be the third derivative of -j**6/30 + 2*j**5/5 - 5*j**4/6 - 8*j**3 + 277*j**2. Find o, given that b(o) = 0.
-1, 3, 4
Let t = -51 + 62. Suppose 0 = -i + 14 - t. Factor -1/4*m**2 + 0*m + 0 - 1/4*m**i.
-m**2*(m + 1)/4
Let n(s) be the second derivative of -s**8/16800 - s**7/4200 + s**5/600 + s**4/240 + 5*s**3/6 - 13*s. Let k(c) be the second derivative of n(c). Factor k(o).
-(o - 1)*(o + 1)**3/10
Suppose 16 = -2*a + 56. Suppose -b = 4*b - a. Factor m**5 - 2*m**3 - m - b + 2*m + 4.
m*(m - 1)**2*(m + 1)**2
Factor 115 + 2*j**4 + 0*j**3 + 6*j**3 - 115.
2*j**3*(j + 3)
Let v(m) be the first derivative of 14/55*m**5 - 6/11*m**4 + 0*m + 2/11*m**3 + 11 + 2/11*m**2. Suppose v(i) = 0. What is i?
-2/7, 0, 1
Let u = 1/32 + 15/32. Let y(r) be the third derivative of -1/20*r**5 - r**2 + u*r**3 + 0 + 0*r**4 + 0*r. Factor y(w).
-3*(w - 1)*(w + 1)
Determine y so that -24*y**2 + 4*y**2 + 25*y**4 + 16*y**4 - 39*y**4 - 6*y**3 = 0.
-2, 0, 5
Let j be 3696/(-880)*(-2 - 22/4). Factor -57/2*h**2 + j*h - 15/2 + 9/2*h**3.
3*(h - 5)*(h - 1)*(3*h - 1)/2
Let v = 46 - 10. Let u be (8/48)/((-3)/(v/(-15))). Factor 8/15 - 8/15*c + u*c**2.
2*(c - 2)**2/15
Factor 0 - 56/3*p + 2*p**2 + 2/3*p**3.
2*p*(p - 4)*(p + 7)/3
Let c(i) = i**3 + 12*i**2 + 12*i + 13. Let b be c(-11). Suppose -m**3 - b - 13*m + 5*m**2 - 7 + 10*m = 0. Calculate m.
-1, 3
Determine n so that -80 - 1/5*n**4 - 18/5*n**3 - 121/5*n**2 - 72*n = 0.
-5, -4
Let w(f) be the third derivative of f**8/336 + 31*f**7/210 - 67*f**6/120 - 31*f**5/60 + 11*f**4/4 + 232*f**2 + f. What is o in w(o) = 0?
-33, -1, 0, 1, 2
Let i(o) be the third derivative of 7/132*o**4 + 36*o**2 + 0 - 2/33*o**3 + 0*o + 1/132*o**6 - 3/110*o**5 - 1/1155*o**7. Factor i(b).
-2*(b - 2)*(b - 1)**3/11
Let b(r) be the first derivative of -r**3/2 - 48*r**2 - 529. Factor b(z).
-3*z*(z + 64)/2
Let k(t) = -5*t**4 - 6*t**3 + 4*t**2 - 6*t - 7. Let s(v) = 4*v**4 + 5*v**3 - 4*v**2 + 4*v + 6. Let p(r) = -3*k(r) - 4*s(r). Factor p(a).
-(a - 1)**2*(a + 1)*(a + 3)
Let l(d) be the second derivative of 4*d**7/525 - 2*d**6/75 - d**5/20 - d**4/30 + 5*d**3/6 - d. Let s(m) be the second derivative of l(m). Solve s(j) = 0 for j.
-1/4, 2
Let m(l) be the third derivative of -l**7/840 - l**6/480 + l**5/20 - l**4/24 - 2*l**3/3 + 346*l**2. Find z such that m(z) = 0.
-4, -1, 2
Let f be (-519)/(-198) - (-78)/1716. Determine n so that 128/9 + f*n**2 + 32/3*n + 2/9*n**3 = 0.
-4
Let q(p) = p**3 - p**2 - p - 5. Let k(m) = -55*m**3 - 4165*m**2 - 1657*m - 141. Let x(a) = -k(a) - 5*q(a). Factor x(y).
2*(y + 83)*(5*y + 1)**2
Let d(v) be the first derivative of -v**4/26 + 8*v**3/39 + 11*v**2/13 + 12*v/13 + 7. Factor d(n).
-2*(n - 6)*(n + 1)**2/13
Let a(l) be the second derivative of l**6/240 - l**5/40 + l**4/16 - 13*l**3/6 - 4*l. Let b(o) be the second derivative of a(o). Find s, given that b(s) = 0.
1
Let v(n) = -n**3. Let c(y) be the first derivative of -3*y**4/2 + 2*y**3 - 3*y**2 + 2*y + 75. Let z = -1 + -3. Let a(t) = z*v(t) + c(t). Factor a(o).
-2*(o - 1)**3
Let u(t) be the first derivative of -3*t**5/35 + 15*t**4/14 - 24*t**3/7 + 33*t**2/7 - 3*t + 649. Factor u(q).
-3*(q - 7)*(q - 1)**3/7
Let y(x) be the third derivative of -x**6/40 - 7*x**5/5 - 27*x**4/8 - 66*x**2 - 4*x. Find v, given that y(v) = 0.
-27, -1, 0
Find h, given that 19*h**2 - h**3 + 158 - 482 + 161 + 163 = 0.
0, 19
Let f(i) be the second derivative of -i**7/1050 - 2*i**6/225 - i**5/30 - i**4/15 - 7*i**3/6 + 11*i. Let k(t) be the second derivative of f(t). Factor k(o).
-4*(o + 1)**2*(o + 2)/5
Let s = -50 - -53. Let q**5 - 15*q**4 - 10*q + 215*q**3 + 4*q**5 - 210*q**s + 15*q**2 = 0. Calculate q.
-1, 0, 1, 2
Find w, given that 19*w + 18 - 9*w**3 + 18 - 22 + 4*w**2 + 8*w**3 = 0.
-2, -1, 7
Let p(o) = -o**2 + 2*o + 1. Let k(f) = 5*f**2 - 74*f - 967. Let j(q) = k(q) + 6*p(q). Factor j(r).
-(r + 31)**2
Let m be -1 - (-2 - 0)*2. Let x(d) be the second derivative of -1/18*d**4 + 0 + 3*d - 4/3*d**2 + 4/9*d**m. Factor x(q).
-2*(q - 2)**2/3
Suppose -t = -5*p + 23, -t = 4*p - 7 - 6. Let y(i) be the third derivative of 0*i**3 - 1/72*i**p + 0*i + 0 - 6*i**2 - 1/45*i**5. Let y(l) = 0. Calculate l.
-1/4, 0
Suppose -5*z = -3*d + 24 - 18, -5*d = 3*z - 10. Determine t so that z - 1/2*t + 1/2*t**2 = 0.
0, 1
Let g be 5 + ((-1)/1 - -2). Factor -2*h - 2*h**2 + 4*h**2 - 4 - 6*h - g.
2*(h - 5)*(h + 1)
Let b(j) be the first der