ppose -18 - 50 = 4*c. Let v(p) = 3*p**3 + 20*p**2. Let t(m) = -m**3 - 7*m**2. Let u(b) = c*t(b) - 6*v(b). Solve u(r) = 0.
-1, 0
Let n be 94/5 - (6 + -8). Let o = 21 - n. Factor 0 + 0*k + o*k**2.
k**2/5
Let b(s) = -s - 5. Let m be b(-11). Let f(q) be the third derivative of 0 + 1/90*q**5 - 1/630*q**7 + 0*q - 1/18*q**3 + 0*q**m + 0*q**4 - 2*q**2. Factor f(v).
-(v - 1)**2*(v + 1)**2/3
Let f(k) be the third derivative of k**8/100800 - k**6/3600 - k**5/12 + 3*k**2. Let j(h) be the third derivative of f(h). Solve j(v) = 0 for v.
-1, 1
Let w(l) be the first derivative of -l**5/5 - l**4/4 - 6. Solve w(h) = 0.
-1, 0
Let j(h) = -3*h - 4. Let d be j(-4). Let l = d - 5. Let -q**2 + 2*q**5 + 0*q**3 + 3*q**2 + 3*q**3 - 5*q**l - 2*q**4 = 0. Calculate q.
-1, 0, 1
Let c(f) be the second derivative of 0*f**2 + 0 + 1/30*f**6 + 3/20*f**5 + 2*f + 1/4*f**4 + 1/6*f**3. Suppose c(m) = 0. Calculate m.
-1, 0
Solve -19/5*w + 1/5*w**5 + 6/5 - 6/5*w**3 - 2/5*w**4 + 4*w**2 = 0 for w.
-3, 1, 2
Let s = 13/6 + -2/3. Find l, given that 3/2*l + 0 + 3/2*l**2 - 3/2*l**4 - s*l**3 = 0.
-1, 0, 1
Suppose 6 = 3*a + c, -2*a - 3*a + 10 = -4*c. Factor 0*v - 3*v**a + 0 - 15/2*v**3.
-3*v**2*(5*v + 2)/2
Let x = 111 + -79. Let m = 65/2 - x. Factor m*v**2 + 0*v + 0.
v**2/2
Let t(p) be the second derivative of -p**4/54 - 8*p**3/27 + 26*p + 2. Factor t(h).
-2*h*(h + 8)/9
Let i = -131204/21 - -6249. Let z = -6/7 + i. Solve -z - 2/3*k - 1/3*k**2 = 0.
-1
Suppose 0 = 4*y + 77 + 59. Let w = y + 38. Suppose 686/3*a**5 - 352/3*a**2 - 1960/3*a**w + 32/3*a + 448*a**3 + 0 = 0. Calculate a.
0, 2/7, 2
Suppose -3*d + 5*y = -d - 14, 0 = 3*d + 5*y + 4. Suppose 5 = 2*f - g, -d*f - g = 3*g - 10. What is b in 0*b**2 + 5*b - 3*b - b**2 - b**f = 0?
-2, 0, 1
Let r(m) be the third derivative of 0*m - 1/60*m**5 + 1/4*m**4 - 4*m**2 - 3/2*m**3 + 0. Factor r(a).
-(a - 3)**2
Suppose -5*c - 12 = -2*d, 7*c - 2*c = -4*d - 6. Let t be ((-1)/(-2))/((-1)/(-3)). What is o in -t*o + d + 1/2*o**2 = 0?
1, 2
Let x = -9/5 - -47/15. What is y in 0 + 10/3*y**2 + x*y - 14/3*y**3 = 0?
-2/7, 0, 1
Let o be (16/(-4))/(-4)*0. Determine p so that -2/9*p**3 + o*p**2 + 0 + 2/9*p = 0.
-1, 0, 1
Let r(j) be the second derivative of j**7/840 + j**6/360 + j**3/3 + 2*j. Let m(g) be the second derivative of r(g). Determine q so that m(q) = 0.
-1, 0
Let f(y) = -4*y**3 - 7*y**2 - y + 2. Let h(o) = -o**2 - 2*o**2 + 4*o**3 + 4*o**2 - 3*o**3. Let a(l) = 3*f(l) + 15*h(l). Solve a(g) = 0 for g.
-1, 1, 2
Let f(x) = -1 - 3*x**2 + 4*x + 7*x**3 + 0 + 5. Let i(d) = 13*d**3 - 6*d**2 + 7*d + 7. Let z(b) = -7*f(b) + 4*i(b). Solve z(t) = 0.
0, 1
Let k(v) be the first derivative of v**6/3 - 2*v**5/5 - v**4/2 + 2*v**3/3 - 9. Factor k(m).
2*m**2*(m - 1)**2*(m + 1)
Suppose 1/2*r**2 - 2*r - 2 + 1/2*r**3 = 0. Calculate r.
-2, -1, 2
Let u = -1/44 + 49/220. Factor 1/5*o**5 - 2/5*o**2 + 2/5*o**4 + 0*o**3 - u*o + 0.
o*(o - 1)*(o + 1)**3/5
Let n = -1 - -3. What is r in -r - 2 - 5*r**2 + 2*r**4 + r**5 + 3*r**n + 2 = 0?
-1, 0, 1
Let g(n) = -n**2 + 4*n + 16. Let v(f) = -f**2 - 2*f + 1. Let y(r) = g(r) - 4*v(r). Determine d so that y(d) = 0.
-2
Factor x**3 + 2*x**4 + 0*x**4 + 8 + x - 5*x**3 - 6*x**2 + 7*x.
2*(x - 2)**2*(x + 1)**2
Let y(p) be the first derivative of -p**6/10 - 9*p**5/20 - p**4/4 - 7*p**2/2 - 2. Let o(z) be the second derivative of y(z). Solve o(f) = 0 for f.
-2, -1/4, 0
Let g(o) be the second derivative of 7*o**5/90 - o**4/6 - 4*o**3/9 + 4*o**2/9 + 10*o. Suppose g(x) = 0. Calculate x.
-1, 2/7, 2
Let p be 23/7 - (-8)/(-28). Let f(q) be the first derivative of 4/3*q - 1/12*q**4 + 0*q**2 + 1 - 1/3*q**p. What is w in f(w) = 0?
-2, 1
Let f be (2 + (-2 - -1)*2)/3. Factor 0 + f*b - 1/2*b**4 - 1/2*b**2 + b**3.
-b**2*(b - 1)**2/2
Let q(r) = r**3 + 10*r**2 - r - 9. Let l be q(-10). Suppose -l + 9 = 4*n. Factor -1 + n*a**2 + 2*a - a**4 - 2*a.
-(a - 1)**2*(a + 1)**2
Let x be 1/9*2*(-24)/(-16). Let r(n) be the second derivative of n + 0 - 1/10*n**5 + x*n**3 + 0*n**4 + 0*n**2. Factor r(b).
-2*b*(b - 1)*(b + 1)
Let r(i) be the first derivative of -1/5*i**2 - 2/25*i**5 + 0*i + 1/10*i**4 + 2/15*i**3 + 6. Let r(u) = 0. What is u?
-1, 0, 1
Let p be 4 - (2307/(-15) - 1). Let l = p - 158. Factor -l*b + 1/5*b**2 + 4/5.
(b - 2)**2/5
Let z(s) be the third derivative of 0*s**3 + 0*s**6 - 1/105*s**7 + 0*s + 7*s**2 + 1/168*s**8 + 0*s**5 + 0 + 0*s**4. Factor z(x).
2*x**4*(x - 1)
Let t(i) be the second derivative of 10*i**7/7 - 104*i**6/15 + 347*i**5/25 - 74*i**4/5 + 136*i**3/15 - 16*i**2/5 - 15*i. Find k such that t(k) = 0.
2/5, 2/3, 1
Suppose -2*b + 10 + 10 = 4*m, -4*b - 8 = -4*m. Determine l, given that b*l**3 + 6*l**2 + 3*l - 4*l**2 - 2*l**4 - 5*l = 0.
-1, 0, 1
Let v = -8 - -11. Let p(h) be the second derivative of h + 1/8*h**v - 1/16*h**4 + 0 + 0*h**2. Suppose p(q) = 0. Calculate q.
0, 1
Let u be (-4 - -5)/((-6)/(-2)). Let h(w) be the second derivative of 0 - 1/6*w**4 - u*w**3 + 2*w**2 + 2*w. Factor h(n).
-2*(n - 1)*(n + 2)
Suppose -l + 19 = 4*v, 2 = -2*l - 0*l + 2*v. Let n be -3 - -9 - (-1 + l). Find g, given that 0*g - 7*g**3 - g**2 - 3*g**4 - g - n*g**2 = 0.
-1, -1/3, 0
Let b(l) be the second derivative of -l**5/30 - l**4/6 + 4*l**2/3 + 11*l. Solve b(w) = 0.
-2, 1
Let y(t) be the first derivative of -t**4/4 - 2*t**3/3 + t**2/2 + 2*t + 4. Factor y(n).
-(n - 1)*(n + 1)*(n + 2)
Let z be (1 - 3) + (2 - 1). Let k be -1*0/((-2)/z). Factor 2*d - 1 + k*d - d**2 + 0.
-(d - 1)**2
Let n(m) = -m**2 + 17*m + 41. Let x be n(19). Suppose -16/3*j + 2/3*j**4 - 2 - 4*j**2 + 0*j**x = 0. What is j?
-1, 3
Let z(h) be the first derivative of 12*h**5/5 + 15*h**4/4 + h**3 + 4. Determine s, given that z(s) = 0.
-1, -1/4, 0
Suppose 2*x - 3 = 3. Let p be (-2)/(-1 + x/6). Find g such that 0*g + p*g + g**2 - 3*g = 0.
-1, 0
Let w(r) be the first derivative of -r**4/16 - r**3/8 - 5*r + 5. Let v(m) be the first derivative of w(m). Factor v(a).
-3*a*(a + 1)/4
Let p(r) be the third derivative of -r**5/330 + r**3/33 - 13*r**2. Factor p(m).
-2*(m - 1)*(m + 1)/11
Let k(i) = -2*i**5 + 10*i**4 - 3*i**3 + 8*i**2 - 13*i + 13. Let h(w) = w**5 - 5*w**4 + 2*w**3 - 4*w**2 + 6*w - 6. Let u(o) = 13*h(o) + 6*k(o). Factor u(s).
s**2*(s - 2)**2*(s - 1)
Factor -1/4 + 1/2*i - 1/4*i**2.
-(i - 1)**2/4
Factor -56 + 20*w - 25*w**3 + 2*w**4 + 7*w**4 + 30*w**2 - 4*w**4 + 16.
5*(w - 2)**3*(w + 1)
Let t(f) be the first derivative of -f**4/72 + f**3/36 + 4*f + 5. Let k(y) be the first derivative of t(y). Factor k(b).
-b*(b - 1)/6
Let o = -1/57 - -59/114. Factor 5/4*c - o - 3/4*c**2.
-(c - 1)*(3*c - 2)/4
Let u(l) = 2*l**2 - 5*l - 4. Let p(d) = 2*d**2 - 4*d - 4. Let n(k) = -3*p(k) + 2*u(k). Determine o, given that n(o) = 0.
-1, 2
Let g(w) be the first derivative of -1/2*w**4 + 1/2*w**2 + 7 + 1/3*w**3 + 0*w. Factor g(p).
-p*(p - 1)*(2*p + 1)
Solve 3/4*g - 3/8 - 3/8*g**2 = 0 for g.
1
Let p(b) be the third derivative of -b**5/12 - 5*b**4/12 - 5*b**3/6 + 10*b**2. Determine r so that p(r) = 0.
-1
Let q(i) = 8*i**3 + 9*i**2 - 11*i - 3. Let n(a) = -9*a**3 - 8*a**2 + 11*a + 2. Let f(d) = -3*n(d) - 4*q(d). Solve f(v) = 0 for v.
-3, -2/5, 1
Let l(c) be the third derivative of -c**7/12600 - c**6/450 - 2*c**5/75 - 3*c**4/8 - 5*c**2. Let d(p) be the second derivative of l(p). Solve d(v) = 0 for v.
-4
Let a**2 + a**2 + 3*a**2 + 5*a**3 = 0. Calculate a.
-1, 0
Let q(l) = -l**3 - l**2 - 7. Let x be q(0). Let h = -1 - x. Find r such that 2*r**3 - r**2 - 3*r**2 + h*r**2 = 0.
-1, 0
Factor 0*n**2 + 64 - 8*n**2 - 32*n + 12*n**2.
4*(n - 4)**2
Let n be 12/16*((-44)/(-12) - 3). What is i in 0 + n*i**2 + 0*i = 0?
0
Factor 26/7*f**2 + 12/7*f**3 + 2/7*f**4 + 8/7 + 24/7*f.
2*(f + 1)**2*(f + 2)**2/7
Let b(z) = z**3 + 6*z**2 + z + 6. Let l be b(-6). Let c(i) be the first derivative of -2/25*i**5 + 0*i**2 + 0*i**4 + 3 + l*i + 2/15*i**3. What is u in c(u) = 0?
-1, 0, 1
Suppose 2*y + 0 = 4. Let x(a) = 3*a**3 - 2*a**2 + a. Let r be x(1). Suppose -10 - t**4 + 9 + 2*t**5 - t**5 + y*t**r - 2*t**3 + t = 0. What is t?
-1, 1
Let l be ((-8)/84)/((-5)/15). Let 2/7*a - 4/7*a**2 - 4/7*a**3 + 2/7*a**4 + 2/7 + l*a**5 = 0. Calculate a.
-1, 1
Let f(m) = -3*m**4 - 2*m**3 + m**2 + 12. Let d(s) = 3. Let r(y) = 12*d(y) - 3*f(y). Factor r(k).
3*k**2*(k + 1)*(3*k - 1)
Let u(y) be the second derivative of -y**7/336 - y**6/120 - y**5/160 + y. Factor u(s).
-s**3*(s + 1)**2/8
Let u(m) = 6*m**3 - 2*m*