2/3*b = 0. Calculate b.
-1, 1
Determine m so that 2*m**2 + 342*m + 658484 - 658484 = 0.
-171, 0
Let v(u) = u**3 + 6*u**2 + 7*u - 1. Let b be v(-4). Factor -2*h**2 + 4*h**2 - b*h**2.
-h**2
Let s(d) be the second derivative of 2*d**6/105 - 9*d**5/35 + 11*d**4/21 + 2*d**3 + 72*d + 2. Determine o so that s(o) = 0.
-1, 0, 3, 7
Let m(o) be the first derivative of 0*o + 0*o**3 + 0*o**4 + 0*o**2 - 1/45*o**5 - 26 - 1/54*o**6. Factor m(r).
-r**4*(r + 1)/9
Solve -418*f**4 + 200*f**2 - 3*f**5 + 60*f**3 - 256*f - f**5 - 384 - 414*f**4 + 816*f**4 = 0 for f.
-4, -1, 2, 3
Let x(q) be the first derivative of q**5 - 15*q**4/2 - 175*q**3/3 - 120*q**2 - 100*q + 151. Find g, given that x(g) = 0.
-2, -1, 10
Suppose -u + 11 = -2*u + 4*c, 3*c - 17 = -u. Suppose 4*i + u*d = 23 + 19, -2*d - 17 = -i. Factor -33*x**3 + i*x**3 - 16*x**3 - 32*x**4 + 59*x**4 + 12*x**2.
3*x**2*(3*x - 2)**2
Let b = -3305 + 10078/3. Let x = b - 54. Suppose -x*w**2 - 3 - 2*w = 0. What is w?
-3
Let a(u) = -10*u**2 - 16*u. Let t(v) = -2*v**2 + 3. Let f(w) = -a(w) + 6*t(w). Factor f(o).
-2*(o - 9)*(o + 1)
Suppose -259 = -4*g + i, -2*g + 2*i + 3*i = -125. Let r be g/10*(-4)/(-2). What is c in -c + r*c - 5*c**2 + 0*c + 2*c**2 = 0?
0, 4
Factor -8/9*z + 2/9*z**3 + 4/9*z**2 - 16/9.
2*(z - 2)*(z + 2)**2/9
Let x(h) be the third derivative of h**8/399 - 4*h**7/285 - 17*h**6/190 - 101*h**5/570 - 41*h**4/228 - 2*h**3/19 + 275*h**2. Suppose x(g) = 0. Calculate g.
-1, -1/2, 6
Let d(g) = g**3 + 4*g**2 - 5*g - 18. Let w be d(-4). Suppose -16*n - 6 - 4*n**w - 10 + 4 = 0. Calculate n.
-3, -1
Solve 0 + 11/5*i**3 - 8*i**2 + 28/5*i + 1/5*i**4 = 0 for i.
-14, 0, 1, 2
Let q(x) be the first derivative of -41 + 2*x + 2/3*x**3 - 2*x**2. Determine f so that q(f) = 0.
1
Let f = 4032 + -4032. Factor 1/5*l**3 + f*l + 1/5*l**4 + 0 + 0*l**2.
l**3*(l + 1)/5
Let d(l) = -l**2 - 3*l + 3. Let o be d(2). Let m be (72/42)/((-2)/o). Factor 2*c**2 + 7*c - m*c**3 + c - 2*c - 2.
-2*(c - 1)*(c + 1)*(3*c - 1)
Let a be -8 + 12 + -1 + -9 - 18/(-2). Suppose -2/5*v**4 + 8/5 - 4/5*v**a + 16/5*v + 6/5*v**2 = 0. Calculate v.
-2, -1, 2
Let b(h) be the first derivative of -h**5 + 5*h**4 - 10*h**3/3 - 10*h**2 + 15*h + 130. Find f such that b(f) = 0.
-1, 1, 3
Suppose 6*n - 4*n = 24. Solve 28*r**3 - 16*r**2 - 14*r - n*r**5 + 9*r**4 - 2*r + 7*r**4 = 0.
-1, -2/3, 0, 1, 2
Let u(w) be the second derivative of -w**9/5040 - w**8/448 - w**7/280 + w**6/48 + w**5/10 - w**4 - 7*w. Let k(b) be the third derivative of u(b). Factor k(v).
-3*(v - 1)*(v + 1)**2*(v + 4)
Let y(n) = 2*n**2 - 63*n + 497. Let j be y(15). What is w in 2/9*w**j - 2/3*w + 0 = 0?
0, 3
Let f(r) be the first derivative of -r**4/6 + 2*r**3/3 + 4*r**2/3 + 134. Suppose f(x) = 0. Calculate x.
-1, 0, 4
Suppose -11*g = -57 + 13. Suppose -2*i - g*q = 12, -2*q - 2 = -5*i + 4. Factor 2*o - 1/2*o**2 + i.
-o*(o - 4)/2
Let k(g) be the second derivative of -g**4/114 - 22*g**3/57 - 6*g. What is z in k(z) = 0?
-22, 0
Let y be (-10913)/(-39) + ((-60)/(-9))/(-10). Let b = y + -279. Determine z, given that 2/13*z**2 + b*z**4 - 4/13*z**3 + 0*z + 0 = 0.
0, 1
Let c = 12 - 2. Let m = c + -7. Factor -2*z**2 - 4*z + 13*z**4 - 17*z**4 + 0*z + 10*z**m.
-2*z*(z - 2)*(z - 1)*(2*z + 1)
Let o(s) be the first derivative of 3 - 20*s**2 - 20*s + 15*s**3 - 5 - 20*s**2. Let o(n) = 0. What is n?
-2/9, 2
Suppose -2*t + 142 = -0*t + 4*y, 4*y = -4*t + 264. Let g = 61 - t. Solve 0 + 3/5*m**4 + g*m + 0*m**3 - 3/5*m**5 + 0*m**2 = 0 for m.
0, 1
Suppose -f = -6*f + 2*f. Let n(h) be the second derivative of -3/4*h**4 + 3/4*h**2 - 21/80*h**5 - 3/8*h**3 + 7*h + f. Factor n(m).
-3*(m + 1)**2*(7*m - 2)/4
Let w(b) be the second derivative of -1/10*b**5 - b**2 - 2*b + 1/42*b**7 + 1/6*b**3 - 1/15*b**6 + 16 + 1/3*b**4. Find t such that w(t) = 0.
-1, 1, 2
Factor 672 + 2/21*q**2 - 16*q.
2*(q - 84)**2/21
Let g(k) = -3*k**2 - 10*k - 11. Let j(i) = -i**2 - 1. Let t(w) = g(w) - 2*j(w). Suppose t(f) = 0. What is f?
-9, -1
Factor 2 - 12*d**3 + 16*d**3 + 28*d**2 + 44*d - 4*d - 2.
4*d*(d + 2)*(d + 5)
Let q(d) be the first derivative of d**6/12 - 9*d**5/10 + 21*d**4/8 - 19*d**3/6 + 3*d**2/2 - 17. Factor q(n).
n*(n - 6)*(n - 1)**3/2
Let w(n) be the third derivative of -n**8/42 - n**7/70 + n**6/15 - 12*n**2. Let t(z) = 55*z**5 + 20*z**4 - 55*z**3. Let a(i) = -3*t(i) - 20*w(i). Factor a(j).
-5*j**3*(j - 1)*(j + 1)
Let y(b) be the third derivative of b**6/660 + b**5/110 - b**4/33 - 4*b**3/11 - 15*b**2 - b. Factor y(a).
2*(a - 2)*(a + 2)*(a + 3)/11
Let r(x) be the third derivative of x**7/280 - 17*x**6/160 - 9*x**5/40 - 30*x**2. What is y in r(y) = 0?
-1, 0, 18
Let w(j) = 4*j - 7 + 12 + j**2 + j**2 + 2*j**2 + j**3. Let h be w(-2). Find x such that 10/9*x**3 - 32/9 - 50/9*x**2 - 80/9*x - 2/9*x**h + 10/9*x**4 = 0.
-1, 4
Suppose -70 = 3*q + 2*q - j, 2*q + 2*j + 40 = 0. Let p be 2 + 21/q - (-2 - -1). Factor 0 + p*v**2 + 1/5*v**4 + v**3 + 4/5*v.
v*(v + 1)*(v + 2)**2/5
Let y(q) be the second derivative of -q**7/105 - q**6/30 + q**4/6 + q**3/3 - 3*q**2/2 + q. Let r(u) be the first derivative of y(u). What is j in r(j) = 0?
-1, 1
Let j(a) = a**3 + 3*a**2 + 3. Let t be j(-3). Suppose 1 - 3 = -l - 5*u, 10 = 5*l + t*u. Factor -4*b**3 - 2*b - 8*b**2 - l*b + 0*b.
-4*b*(b + 1)**2
Let k(a) be the second derivative of -2*a**6/15 - 13*a**5/15 + 13*a**4/9 + 26*a**3/9 - 20*a**2/3 - 9*a. What is j in k(j) = 0?
-5, -1, 2/3, 1
Let w(d) = -d - 22. Let y be w(-9). Let b = 15 + y. Factor -9 - 2*t**2 + 2*t**b + 6*t - t**2.
-(t - 3)**2
Let b(q) = -q**2 - 26*q + 2. Let z(k) = k**2 + 26*k - 3. Let s(g) = -3*b(g) - 2*z(g). Factor s(d).
d*(d + 26)
Let q = 1116 - 8925/8. Let y(g) be the second derivative of 0 + 1/6*g**3 + q*g**2 + 1/48*g**4 - 5*g. Factor y(v).
(v + 1)*(v + 3)/4
Suppose 0 = 4*b - 0*b - i - 17, 4*b + 2*i - 26 = 0. Factor -w**3 + w**2 + 4*w**3 + b*w**2.
3*w**2*(w + 2)
Let d = -5 - -5. Let u be (-40)/780*(-16 - -1). Find l such that 10/13*l**5 + 0 - 4/13*l**4 - u*l**3 + 4/13*l**2 + d*l = 0.
-1, 0, 2/5, 1
Factor 7/4*h**4 + 5*h**2 - 2*h - 1/4*h**5 + 0 - 9/2*h**3.
-h*(h - 2)**3*(h - 1)/4
Let r(x) be the first derivative of 6*x**6 - 44*x**5/5 + 2*x**4 + 76. Factor r(g).
4*g**3*(g - 1)*(9*g - 2)
Let u = -56 - -46. Let d be (-3)/(1 + 5)*5/u. Solve -1/4*q**2 + d*q**4 + 1/4*q**3 - 1/4*q + 0 = 0 for q.
-1, 0, 1
Solve -19/2*b + 0 + 1/2*b**2 = 0.
0, 19
Let n be -1 + 1/(1*3/333). Let u = 334/3 - n. Let 0 + 0*p - u*p**2 + 2/3*p**3 = 0. What is p?
0, 2
Let x be -4*(-3)/6*(0 + 6). Solve 4 - 1 + 10*t**5 + 18*t**3 + 15*t**4 - 7*t**5 - x - 6*t**2 - 21*t = 0 for t.
-3, -1, 1
Let f(u) be the third derivative of 3/20*u**5 + 0 - 4*u**2 + 1/8*u**4 - u**3 - 1/40*u**6 - 1/70*u**7 + 0*u. Factor f(k).
-3*(k - 1)**2*(k + 1)*(k + 2)
Let u(i) be the second derivative of i**5/40 - 5*i**4/12 - 23*i**3/12 - 3*i**2 + i - 107. Solve u(r) = 0 for r.
-1, 12
Let r(c) be the second derivative of c**7/210 + c**6/150 - c**5/100 - c**4/60 - 25*c. Factor r(n).
n**2*(n - 1)*(n + 1)**2/5
Let p(u) be the first derivative of 12/5*u**5 + 0*u + 0*u**2 - 3/4*u**4 - 14 - 7/6*u**6 - 2/3*u**3. Factor p(a).
-a**2*(a - 1)**2*(7*a + 2)
Let i(u) be the third derivative of -1/6*u**5 + 28*u**2 + 0*u**3 + 0*u - 5/24*u**4 + 5/336*u**8 + 0*u**6 + 1/21*u**7 + 0. Factor i(y).
5*y*(y - 1)*(y + 1)**3
Let o(z) = 9*z**2 - 6. Let y(t) = -15*t**2 - 8*t - 2. Let s(g) = -14*g**2 - 7*g - 1. Let b(d) = 7*s(d) - 6*y(d). Let l(a) = -6*b(a) - 5*o(a). Factor l(r).
3*r*(r + 2)
Factor -21/2*o**2 + 1/2*o**3 + 5/2*o**4 - 9*o + 1/2*o**5 + 0.
o*(o - 2)*(o + 1)*(o + 3)**2/2
Suppose 2*o + 5*y + 12 = -2*o, -4*o - y + 4 = 0. Factor -35*m + 0*m**o - 41*m - 6 + m**2 + 77*m.
(m - 2)*(m + 3)
Let w be (-2)/(-99) - (-3940)/990. Find m such that 16/3 - 20/3*m**2 - 4*m**3 + 4*m + 4/3*m**w = 0.
-1, 1, 4
Suppose f - 189 = -187. Let -2/5*r**3 + 0 + 6/5*r**f + 8/5*r = 0. What is r?
-1, 0, 4
Suppose z - 7 + 0 = -5*g, -g + 9 = 4*z. Suppose -4*k = -t - 2, t - 3*k - 3 = -z*t. Let -2/3*n**t + 2/3 + 0*n = 0. What is n?
-1, 1
Let r(s) = s - 4. Suppose -2*w = -3 - 9. Let c be r(w). Solve 2/5 + 3/5*b**4 + 1/5*b - 1/5*b**3 - b**c = 0 for b.
-1, -2/3, 1
Let v be (-2 - (0 - -2))/(-2) - -4. Let g be v/8*(-100)/(-25). Determine l so that 45*l**g + 21/2*l**4 + 6 + 129/2*l**2 + 36*l = 0.
-2, -1, -2/7
Let m(s) be the first derivative of 3 - 2/33*s**3 + 4/11*s - 1/11*s**2. Solve m(t) = 0 fo