4 + 3/2*i**3 - 6*i + 0.
3*i*(i - 2)*(i + 1)*(i + 2)/2
Let w(a) be the second derivative of a**4/24 + 5*a**3/6 - 14*a**2 - a - 10. Factor w(r).
(r - 4)*(r + 14)/2
Suppose 0 + 2/3*u**2 + 44/3*u = 0. Calculate u.
-22, 0
Let a(h) be the second derivative of -3*h - 5/6*h**3 + 0*h**2 - 5/12*h**4 + 0. Factor a(k).
-5*k*(k + 1)
Suppose -2*c = -10, -3*c + 0*c = 4*s - 47. Let g(f) be the second derivative of -1/50*f**5 + 0 - s*f + 1/15*f**4 - 2/5*f**2 + 1/15*f**3. Factor g(y).
-2*(y - 2)*(y - 1)*(y + 1)/5
Let o(f) = 3*f**3 + f**2 - 9*f - 5. Suppose 7 = -3*w - 8. Let a(t) = 13*t - 4 - 5*t**3 + 6 + 5 - t**2. Let r(z) = w*a(z) - 7*o(z). Factor r(y).
2*y*(y - 1)*(2*y + 1)
Suppose 8*y - 96 = -16. Let z be 3/((135/y - 0) + 3). Factor -z*p**2 - 4/11*p + 0.
-2*p*(p + 2)/11
Let u(z) be the second derivative of -z**6/60 - z**5/4 + 17*z**4/6 - 17*z**3/2 + 45*z**2/4 - 2*z + 10. Determine d, given that u(d) = 0.
-15, 1, 3
Let b(m) = 8*m**4 - 35*m**3 + 58*m**2 - 43*m + 6. Let h(i) = -i**4 + 2*i**3 - i**2 + 2. Let y(u) = -b(u) - 3*h(u). Factor y(w).
-(w - 3)*(w - 1)**2*(5*w - 4)
Let i(y) = -y**5 - y**4 - 2*y**2 + 2*y. Let s(g) = g**5 + 91*g**4 + 575*g**3 + 1197*g**2 + 1048*g + 320. Let d(h) = -4*i(h) + s(h). Factor d(q).
5*(q + 1)**3*(q + 8)**2
Let x(j) be the first derivative of -1/15*j**5 - 14 + 0*j + 1/4*j**4 + 0*j**2 + 0*j**3. Factor x(q).
-q**3*(q - 3)/3
Let x = -3274 + 3274. What is u in 0 - 3/2*u + x*u**2 + 3/2*u**3 = 0?
-1, 0, 1
What is w in -9/2*w**4 + 18 - 23/2*w**2 - 12*w + 27/2*w**3 + 1/2*w**5 = 0?
-1, 2, 3
Let d(l) be the second derivative of -l**6/30 - 4*l**5/15 + l**4/6 + 8*l**3/3 + 11*l**2/2 - 14*l. Let n(i) be the first derivative of d(i). Solve n(v) = 0.
-4, -1, 1
Let l be ((-1)/2)/(5/(-20)) + 2. Let y(m) be the third derivative of 0*m + l*m**2 - 3*m**3 - 1/30*m**5 + 1/2*m**4 + 0. Factor y(x).
-2*(x - 3)**2
Let j(m) be the first derivative of m**5/15 - m**4/4 - m**3/9 + m**2/2 + 330. Determine r so that j(r) = 0.
-1, 0, 1, 3
Factor -24*n - 2/3*n**5 + 0 + 8*n**2 + 22/3*n**3 - 4/3*n**4.
-2*n*(n - 2)**2*(n + 3)**2/3
Let b(u) be the third derivative of -1/80*u**6 + 0 + 1/32*u**4 + 16*u**2 + 0*u**7 + 0*u + 0*u**5 + 1/448*u**8 + 0*u**3. Factor b(f).
3*f*(f - 1)**2*(f + 1)**2/4
Let u(i) be the first derivative of 1/40*i**5 + 0*i**2 + 1 + 0*i**4 + 5*i - 1/120*i**6 + 0*i**3. Let j(h) be the first derivative of u(h). Factor j(r).
-r**3*(r - 2)/4
Let w(l) be the first derivative of 1 + 2/3*l**3 + 0*l - 1/2*l**4 + 2*l**2. Factor w(s).
-2*s*(s - 2)*(s + 1)
Let t(s) be the third derivative of 2*s**6/15 + 3*s**5/20 + 94*s**2 - 2. Factor t(k).
k**2*(16*k + 9)
Let k(j) be the first derivative of j**6/3 + 4*j**5/5 - j**4 - 8*j**3/3 + j**2 + 4*j + 44. Determine z so that k(z) = 0.
-2, -1, 1
Suppose j = -4*j + 10. Let k = -579 + 579. Factor -3*i**2 + k*i**2 - 9*i + 5*i**j - 5*i**2.
-3*i*(i + 3)
Let j be (84/(-784))/((4/(-7))/4). Find s, given that j*s + 1/4*s**3 + 0 - s**2 = 0.
0, 1, 3
Let r(t) = t**2 + 4*t - 2. Let w(d) = 0 + d + 3 - 3. Let x(v) = -r(v) + 3*w(v). Factor x(o).
-(o - 1)*(o + 2)
Let b be 22/5 - (-4 - (-22)/5). Let g(p) = 2*p**2 - 5*p - 10. Let z be g(b). Factor 0 + 3/5*x**z + 1/5*x**3 + 2/5*x.
x*(x + 1)*(x + 2)/5
Factor 0 + 3/5*r**3 + 6/5*r**2 + 3/5*r.
3*r*(r + 1)**2/5
Let p be (-4)/10 + (-72)/(-5). Let m = p + -27/2. Suppose m*d**4 + 0 - 3/2*d**2 + d + 0*d**3 = 0. Calculate d.
-2, 0, 1
Let c(v) = -v**4 + v**2 - v. Let p(f) = -7*f**4 - 7*f**3 + 5*f**2 + 5*f + 2. Let k(u) = -4*c(u) + 2*p(u). Suppose k(t) = 0. What is t?
-1, -2/5, 1
Suppose 120*v - 353*v**3 + 171*v**3 + 80 + 152*v**3 + 5*v**2 + 5*v**4 = 0. What is v?
-1, 4
Let g = 115/10494 - -2/477. Let w(x) be the second derivative of 4*x + 0 + 0*x**3 - g*x**4 + 1/11*x**2. What is o in w(o) = 0?
-1, 1
Let g = 62 + -40. Suppose 17*u - 6*u - g = 0. Determine l, given that -1/3*l + 1/6 + 1/6*l**u = 0.
1
Let s(n) be the first derivative of n**3/12 - 9*n**2/8 + 7*n/2 + 96. Factor s(y).
(y - 7)*(y - 2)/4
Let -57 - 61 - 34*g**2 + 60*g + 126 + 2*g**2 = 0. Calculate g.
-1/8, 2
What is t in 3/2 + 5*t - 6*t**3 + 3/2*t**2 - 2*t**4 = 0?
-3, -1/2, 1
Let a(x) = x**2 - 2. Let j(v) = 2*v**4 + 10*v**3 - 3*v**2 - 18*v + 18. Let l(y) = -18*a(y) - 2*j(y). Factor l(t).
-4*t*(t - 1)*(t + 3)**2
Let o(r) = 3*r**2 + 63*r - 204. Let w(z) = 3*z**2. Let v(p) = o(p) - 2*w(p). Factor v(i).
-3*(i - 17)*(i - 4)
Let q(r) be the first derivative of 29 - 1/22*r**4 - 4/11*r**2 - 10/33*r**3 + 0*r. Factor q(h).
-2*h*(h + 1)*(h + 4)/11
Solve 0*u - 1/9*u**2 + 0 = 0.
0
Suppose -4 = -5*m - 4*k, m = k + 2*k + 16. Let v be m/(5 + 3 - 2). Factor -8/3 + 16/3*u + v*u**3 - 10/3*u**2.
2*(u - 2)**2*(u - 1)/3
Let f be ((1 - 2) + 24)/(-14 - -13). Let x be (33 + f)*5/3. Factor 140/3*i**2 + 16/3 - x*i**3 - 88/3*i.
-2*(i - 2)*(5*i - 2)**2/3
Let x(k) = -k**2 - k - 1. Let r(j) = 5*j**2 + 7*j + 6. Let q(u) = -5*r(u) - 30*x(u). Determine z, given that q(z) = 0.
0, 1
Let t(m) be the first derivative of 2*m**5/5 - m**4 + 79. Let t(w) = 0. Calculate w.
0, 2
Let g be 109/28 + (64/(-28) - -2). Let n = 19/4 - g. Factor 6/7*z**2 + 0*z + 2/7*z**3 - n.
2*(z - 1)*(z + 2)**2/7
Suppose -25*b - 15 = -30*b, -7 = 4*s - 5*b. Factor 0*p + 0*p**s + 2/5*p**3 + 0 + 1/5*p**4.
p**3*(p + 2)/5
Factor 9/2*u - 9/2*u**3 + 3/2*u**2 + 3/2*u**4 - 3.
3*(u - 2)*(u - 1)**2*(u + 1)/2
Factor -c**5 - 33*c**5 + 0*c**5 - 2*c**5 + 8*c**4.
-4*c**4*(9*c - 2)
Let -819/5*o**2 - 12 - 432/5*o - 147/5*o**3 = 0. What is o?
-5, -2/7
Let g = -2212 + 6638/3. Factor 0*y - g*y**2 + 2/3.
-2*(y - 1)*(y + 1)/3
Suppose 3*x + 12 = -3*u, u + 42 = -3*x + 4*u. Let p(n) = 6*n**4 + 9*n**3 + 3*n**2. Let j(f) = 3*f**4 + 4*f**3 + f**2. Let i(q) = x*j(q) + 4*p(q). Factor i(m).
-3*m**2*(m - 1)*(m + 1)
Let h(i) be the second derivative of i**7/21 + i**6/3 + i**5/10 - 13*i**4/6 - 2*i**3/3 + 8*i**2 - 52*i - 2. Solve h(c) = 0.
-4, -2, -1, 1
Let t(s) = 4*s**2 - 56*s + 7. Let g be t(14). Suppose -2 + 15*l - g - 77*l**3 + 78*l**3 - 7*l**2 = 0. What is l?
1, 3
Let c(r) = 3*r. Let n(i) = 6*i - 1. Let b(v) = -7*c(v) + 4*n(v). Let w be b(2). Factor -2/7*g - 10/7*g**w + 0 - 8/7*g**3.
-2*g*(g + 1)*(4*g + 1)/7
Let t(f) = -177*f - 48. Let h be t(-8). Let h*q**4 + 2*q**2 - 1364*q**4 - 6*q**2 - 2*q**5 + 2*q**3 = 0. Calculate q.
-1, 0, 1, 2
Suppose -3*x + 991 = 5*i + 310, 2*x - 679 = -5*i. Suppose 0 = 3*w + i - 147. Solve 0*j**3 + 6/7*j**2 - 2/7*j**w + 4/7*j + 0 = 0.
-1, 0, 2
Let h(w) be the second derivative of -w**4/60 + 3*w**3/10 - 9*w**2/5 - w + 33. Find i, given that h(i) = 0.
3, 6
Let -8 + 1176*m + 13 + 8472*m**2 - 51690*m**2 - 13 = 0. What is m?
2/147
Let u(z) be the second derivative of -z**7/84 + z**6/20 + z**5/10 - 2*z**4/3 + 4*z**2 - 21*z. Factor u(k).
-(k - 2)**3*(k + 1)*(k + 2)/2
Let d(q) be the first derivative of 8/33*q**3 + 20 - 8/11*q - 1/11*q**2 + 1/22*q**4. Factor d(v).
2*(v - 1)*(v + 1)*(v + 4)/11
Let n be (-1)/3 + 132/18. Suppose n*z = 2*z + 10. Determine i, given that -i**2 + 0 + 0 + i + z = 0.
-1, 2
Let g = 24183/2 + -11816. Let j = g + -271. Factor j*p + 0 - 3/2*p**2.
-3*p*(p - 3)/2
Let t = 1195/3377 - -3/307. Let j = 11210 + -11210. Find f, given that 0*f + 2/11*f**5 + j*f**2 + 0 + 2/11*f**3 + t*f**4 = 0.
-1, 0
Let h = -181 - -725/4. Let w(f) be the first derivative of -1/6*f**3 + 1/2*f + 1/8*f**4 + 5 - h*f**2. Factor w(q).
(q - 1)**2*(q + 1)/2
Let n(z) be the first derivative of 1/9*z**3 + 1/18*z**4 - 4/9*z + 13 - 2/9*z**2 - 1/45*z**5. Factor n(s).
-(s - 2)**2*(s + 1)**2/9
Suppose 3*x = -6*s + 2*s + 165, -3*s = x - 125. Let z be 12/(-8) + s/12. Suppose 1/6*k**4 + 1/6*k**z - 1/3*k**3 + 0*k + 0 = 0. What is k?
0, 1
Let c(l) be the third derivative of 16/315*l**7 + l**2 + 11/36*l**4 - 1/45*l**6 + 0 + 0*l - 1/72*l**8 - 7/45*l**5 - 2/9*l**3. Solve c(w) = 0.
-1, 2/7, 1
Let z(t) be the third derivative of -t**6/280 - 9*t**5/70 - 29*t**4/56 + 24*t**3/7 + 21*t**2 - 7*t. Factor z(h).
-3*(h - 1)*(h + 3)*(h + 16)/7
Let h(i) be the third derivative of -i**6/12 + 13*i**5/12 - 55*i**4/12 + 20*i**3/3 - 23*i**2 + 5. Solve h(v) = 0.
1/2, 2, 4
Suppose y - 163 = -160. Let w(b) be the first derivative of -4*b**2 - 2 + 14/5*b**5 + 0*b - 8*b**y + 9/2*b**4. Factor w(x).
2*x*(x - 1)*(x + 2)*(7*x + 2)
Let p(d) be the first derivative of -d**3/7 + 3*d**2/14 + 18*d/7 - 101. Solve p(k) = 0 for k.
-2, 3
Let t(i) be the third derivative of i**5/20