. Factor w(x).
-2*x**3*(x + 1)*(x + 15)
Let p(x) = x**2 - 16*x + 30. Let h be p(14). Let g(q) be the first derivative of 2*q + 3*q**2 + h*q**3 - 2 + 1/2*q**4. Let g(v) = 0. What is v?
-1
Suppose 14/3*x - 4 - 2/3*x**2 = 0. Calculate x.
1, 6
Let u(t) = -t**3 - 90*t**2 + 8*t - 16. Let a(s) = 30*s**2 - 3*s + 6. Let i(d) = 8*a(d) + 3*u(d). Let i(c) = 0. What is c?
-10, 0
Suppose 11 + 19 = -5*h. Let u be 15/10 - h/4. Solve -w**u - 1 + 6*w**2 + 1 - 2*w - 9*w**2 = 0.
-2, -1, 0
Suppose 3*n + 3*c = -2 - 4, -20 = 5*c. What is p in 0 - 668*p**2 + 80*p**4 + 598*p**n + 20*p**3 + 35*p**5 - 55*p - 10 = 0?
-1, -2/7, 1
Let h = -104 + 58. Let r be -4 - (h/5)/2. Solve -1/5 + 4/5*c - r*c**2 = 0 for c.
1/3, 1
Let o be 0 - -2 - (-1958)/(-990). Let u = 43/90 + o. Suppose 3/2*k**2 - 1 - u*k**4 + 1/2*k - 1/2*k**3 = 0. Calculate k.
-2, -1, 1
Let t(y) be the second derivative of 0*y**4 + 0 + 1/168*y**7 + 0*y**2 + 0*y**3 - 3*y - 1/60*y**6 - 3/80*y**5. Determine v so that t(v) = 0.
-1, 0, 3
Factor -1518*g + 9*g**4 + 4208*g**2 - 348*g**3 - 686*g + 361 - 730*g**2.
(g - 19)**2*(3*g - 1)**2
Let h(j) be the second derivative of -j**5/15 - 7*j**4/12 - 2*j**3 - 35*j**2/2 - 21*j. Let t(m) be the first derivative of h(m). Factor t(n).
-2*(n + 2)*(2*n + 3)
Let v = 55 - 53. Determine l, given that -4*l**3 + 4*l + 2*l**v + 0*l - 2*l**2 = 0.
-1, 0, 1
Let l be 6/(-4)*8/(-3). Solve 5*x**2 + 5*x**5 - 768*x**3 + 763*x**3 - 4*x**l - x**4 = 0 for x.
-1, 0, 1
Let b(m) = 2*m + 1. Let u(t) = t**3 - 4*t**2 - 13*t - 2. Let v(s) = -6*b(s) - u(s). Factor v(x).
-(x - 4)*(x - 1)*(x + 1)
Let u(t) be the second derivative of t**5/110 - t**4/33 - 5*t**3/33 + 6*t**2/11 - 136*t. Factor u(s).
2*(s - 3)*(s - 1)*(s + 2)/11
Suppose 0 = -v - 0*v + 5*b - 2, -2*v + 4*b = -8. Determine r so that 3*r**4 + 23*r**3 + 2*r**2 - 63*r**3 + 16*r**3 + 11*r**3 + v*r = 0.
-2/3, 0, 1, 4
Determine r so that 2/23*r**2 + 18/23*r - 20/23 = 0.
-10, 1
Let a be -1*(-10)/5 - 15036/27. Let n = 556 + a. Let 4/9 - n*x**2 - 2/9*x - 4/9*x**3 = 0. What is x?
-2, -1, 1/2
Factor 16/3 + 8*f - 7/3*f**2.
-(f - 4)*(7*f + 4)/3
Suppose -2*x + 5*n = 2, -5*x + n + n + 16 = 0. Suppose -b - 17 = -x*t - 0*t, -3*t - 3*b + 9 = 0. Solve 4/7*h**2 + 12/7*h - 8/7 + 4/7*h**t - 12/7*h**3 = 0 for h.
-1, 1, 2
Factor 3451643 - 2*u**4 + 3217428*u - 91198953 + u**4 + 12942109 - 51894*u**2 + 372*u**3.
-(u - 93)**4
Let g(r) = -18*r**4 + 321*r**3 + 273*r**2 - 72*r. Let d(a) = -35*a**4 + 641*a**3 + 544*a**2 - 142*a. Let i(n) = 3*d(n) - 5*g(n). Solve i(o) = 0 for o.
-1, 0, 1/5, 22
Let -19*g**3 - 37*g**2 + 296*g - 255*g**2 - 9*g**3 + 24*g**3 = 0. Calculate g.
-74, 0, 1
Solve 0 - 1/2*y**5 - 5/2*y**2 + 1/2*y**4 + 3/2*y**3 + y = 0 for y.
-2, 0, 1
Let a = 25/6 - 4. Let f(x) be the second derivative of 1/36*x**4 + 0 - a*x**2 + 3*x + 1/60*x**5 - 1/18*x**3. What is j in f(j) = 0?
-1, 1
Let v = -920 + 922. Determine b so that -12/7 - 4/7*b**v - 16/7*b = 0.
-3, -1
Let b(q) be the third derivative of 0*q**3 + 0*q - 2/5*q**6 - 7/15*q**5 + 0 - 1/6*q**4 + 10*q**2. Determine u, given that b(u) = 0.
-1/3, -1/4, 0
Let v(n) be the second derivative of n**4/36 + n**3/9 - 35*n**2/6 - 193*n. Find s such that v(s) = 0.
-7, 5
Solve -6066/7*q**2 + 11352/7*q - 5547/7 - 3/7*q**4 + 264/7*q**3 = 0 for q.
1, 43
Find p such that -35/3 + 35/4*p**2 + 19/6*p**3 + 1/12*p**4 - 1/3*p = 0.
-35, -2, 1
Let x be (-6)/(-36)*(-126)/35*-5. Factor -4/5*w**5 + 1/5*w**2 + 9/5*w**4 + 0 - 6/5*w**x + 0*w.
-w**2*(w - 1)**2*(4*w - 1)/5
Let v(a) be the second derivative of -a**4/78 - 2*a**3/39 + 8*a**2/13 - 13*a + 2. Let v(j) = 0. Calculate j.
-4, 2
Factor 8 + 229*c + 6*c**3 - 32 - 80*c**2 - 321*c + 10*c**3.
4*(c - 6)*(2*c + 1)**2
Let r = -58009/9 - -19337/3. Solve 2/9*v**2 - 4/9 + r*v = 0 for v.
-2, 1
Suppose 0 = 2*i + 7*d + 56, -3*i + 4*d - 725 + 757 = 0. Factor -4/7*q**3 + i*q + 6/7*q**2 - 2/7.
-2*(q - 1)**2*(2*q + 1)/7
Let q(r) = -r**2 - 11*r + 6. Let z be q(-4). Let m be (z/(-102))/(((-10)/8)/5). Factor 1/3*f**2 - 5/3*f + m.
(f - 4)*(f - 1)/3
Let p(z) be the second derivative of -z**6/72 - 5*z**3/6 + 6*z. Let r(s) be the second derivative of p(s). Factor r(w).
-5*w**2
Let g(x) be the first derivative of x**6/12 - 11*x**5/10 + 33*x**4/8 - 5*x**3/6 - 25*x**2/2 + 129. What is d in g(d) = 0?
-1, 0, 2, 5
Let r(k) = -k**2 - 3*k - 3. Let t(w) = -4*w**2 - 8*w - 8. Suppose 4*o + 4 = -28. Let h(z) = o*r(z) + 3*t(z). Let h(g) = 0. What is g?
0
Let c(p) be the third derivative of -16*p**2 + 1/12*p**3 + 0 + 1/240*p**6 - 1/120*p**5 - 1/48*p**4 + 0*p. Determine t, given that c(t) = 0.
-1, 1
Let d(l) be the second derivative of -1/18*l**6 - 2/9*l**3 - 6*l + 0*l**2 - 17/60*l**5 - 4/9*l**4 + 0. Determine o, given that d(o) = 0.
-2, -1, -2/5, 0
Let s be 1*(-9)/(-27) - (-20)/(-6). Let p(m) = 4*m**2 + 20*m + 19. Let y(z) = 20*z**2 + 100*z + 94. Let w(c) = s*y(c) + 14*p(c). Suppose w(r) = 0. Calculate r.
-4, -1
Let i be 57 + -54 - (1 - (-26)/(-5)). Factor 8/5*d**2 - 48/5*d - i - 4/5*d**4 + 16/5*d**3.
-4*(d - 3)**2*(d + 1)**2/5
Let h(w) be the second derivative of 5/12*w**4 + 0*w**2 + 0*w**3 + 0 + 16*w. Find n such that h(n) = 0.
0
Suppose -j = -0*j - 5. Suppose 2 = r, 4*r = 3*h + 2 - 6. Factor -3*k**3 + 7*k**3 + 8*k**h + k - 3*k**j - 10*k**3.
-k*(k - 1)**3*(3*k + 1)
Let t(d) be the second derivative of -9*d**5/40 + 35*d**4/4 - 67*d**3/3 + 22*d**2 + 145*d. Factor t(z).
-(z - 22)*(3*z - 2)**2/2
Let b(p) be the second derivative of -p**6/72 + 5*p**5/12 - 125*p**4/24 - p**3/3 + 6*p. Let t(d) be the second derivative of b(d). Factor t(z).
-5*(z - 5)**2
Suppose 3*n + 4*m - 18 = 0, 5*m = -5*n + 1 + 29. Suppose n = 6*d - 6. Factor 8/5*v + 78/5*v**3 + 9*v**4 + 44/5*v**d + 0.
v*(3*v + 2)**2*(5*v + 2)/5
Let z(p) be the first derivative of -p**3 + 6*p - 18 + 3/2*p**2. What is d in z(d) = 0?
-1, 2
Let g(o) = o**2 - 140*o + 3379. Let m be g(31). Factor 0*t - 5*t**3 - 5/3*t**2 - 5/3*t**5 - 5*t**4 + m.
-5*t**2*(t + 1)**3/3
Find v such that 0 - 38/11*v**4 + 0*v + 2*v**3 + 8/11*v**2 + 8/11*v**5 = 0.
-1/4, 0, 1, 4
Let y(t) be the third derivative of -2 + 1/72*t**4 - 1/180*t**5 + 0*t + 5*t**2 + 0*t**3. Determine h, given that y(h) = 0.
0, 1
Let 0 - 15*u**4 + 0*u**2 + 0*u - 24*u**3 - 3/2*u**5 = 0. Calculate u.
-8, -2, 0
Let d(u) = 4*u**2 - u. Let m(r) = r**2 + 3*r + 3. Let n be m(-2). Let t be d(n). Factor 3*p**2 - 6*p**t - 3*p**4 - 3*p - 3*p**3 - 13*p**2 + p**2.
-3*p*(p + 1)**3
Let v be (-6780)/(-24973) + 2/(-13). Factor -10/17*b**2 - v*b**3 + 18/17 - 6/17*b.
-2*(b - 1)*(b + 3)**2/17
Let s(b) be the third derivative of b**7/42 - b**6/8 - 5*b**5/4 - 85*b**4/24 - 5*b**3 + 83*b**2. Factor s(a).
5*(a - 6)*(a + 1)**3
Factor 29*m**2 + 80*m**3 - 11*m**4 + 5*m**4 + 46*m**2 + 11*m**4.
5*m**2*(m + 1)*(m + 15)
Let p(x) be the third derivative of x**6/600 - x**5/300 - 144*x**2. Factor p(r).
r**2*(r - 1)/5
Let r be (43/(-172))/(21/(-64)). Suppose -2/21*d**2 + r*d - 32/21 = 0. What is d?
4
Let j(l) = -5*l**3 - 4*l**2 + 14*l + 26. Let i(c) = -36*c**3 - 27*c**2 + 99*c + 183. Suppose 150 = -16*k + 6*k. Let p(m) = k*j(m) + 2*i(m). Factor p(q).
3*(q - 2)*(q + 2)**2
Factor -2/7*w**2 - 2/21*w**3 + 2/7 + 2/21*w.
-2*(w - 1)*(w + 1)*(w + 3)/21
Let o(h) be the second derivative of h**8/1680 - h**7/630 - h**6/216 + h**5/180 + 17*h**3/6 + 17*h. Let r(z) be the second derivative of o(z). Factor r(u).
u*(u - 2)*(u + 1)*(3*u - 1)/3
Let n(k) = -33*k**2 - 25*k + 8. Let q(p) = -890*p**2 - 675*p + 215. Let c(a) = 55*n(a) - 2*q(a). Factor c(l).
-5*(l + 1)*(7*l - 2)
Let m(p) be the second derivative of p**7/210 - 17*p**6/360 + 2*p**5/15 - p**4/8 - 11*p**3/2 + 38*p. Let c(b) be the second derivative of m(b). Factor c(l).
(l - 3)*(l - 1)*(4*l - 1)
Let c(p) be the first derivative of -55*p**3/3 + 215*p**2 - 45*p + 18. Let q(l) = -5*l**2 + 39*l - 4. Let x(z) = 4*c(z) - 45*q(z). What is n in x(n) = 0?
0, 7
Let x(a) be the second derivative of 0*a**4 - 1/30*a**5 - 1/180*a**6 + 0*a**2 - 1/2*a**3 + 0 - 4*a. Let b(i) be the second derivative of x(i). Solve b(l) = 0.
-2, 0
Let y(v) = -v**5 + v**2 - v - 1. Let n(l) = l**5 + 2*l**4 + 3*l**3 - 10*l**2 + 6*l + 2. Let x(q) = -n(q) - 2*y(q). Let x(p) = 0. What is p?
-2, 0, 1, 2
Let l be ((-768)/64)/(-2 - (-12)/(-9)). Factor -12/5*t**2 - 8/5 + l*t + 2/5*t**3.
2*(t - 4)*(t - 1)**2/5
Let s(f) be the first derivative of -f**4/54 + 4*f**3/27 - 4*f**2/9 + f 