*2 - 9/8*d + q.
-3*d*(d + 3)/8
Let v(z) be the first derivative of 4 + 0*z**4 + 3*z + 1/10*z**5 - 1/3*z**3 + 0*z**2. Let l(c) be the first derivative of v(c). Solve l(r) = 0 for r.
-1, 0, 1
Let s = -32 + 32. Let v be 4 + -1*s/(-2). Factor 5*r**2 - 10*r**3 - r**4 - 4*r**v - 5*r + 15*r.
-5*r*(r - 1)*(r + 1)*(r + 2)
Let j(w) be the second derivative of w**4/12 - 26*w**3/9 + 17*w**2/6 - 10*w + 5. Solve j(f) = 0 for f.
1/3, 17
Factor 48/7 + 52/7*a + 4/7*a**2.
4*(a + 1)*(a + 12)/7
Suppose -1/6*n**3 - 1200 - 560*n + 59/3*n**2 = 0. Calculate n.
-2, 60
Let w(p) = 5*p - 5*p + p. Let l be w(4). Suppose l*c - 10*c + 4*c + c**2 = 0. What is c?
0, 2
Let c = -234781/3276 + 1875/26. Let q = c + -1/252. Factor -2/3*o**2 + q*o + 0 + 0*o**3 + 2/9*o**4.
2*o*(o - 1)**2*(o + 2)/9
Suppose -41 = -2*o - 3*u, -o + 4*o - 63 = -5*u. Let j(i) = i**3 - 16*i**2. Let d be j(o). Factor 3/5*t**3 + d*t + 0 - 3/5*t**5 + 0*t**4 + 0*t**2.
-3*t**3*(t - 1)*(t + 1)/5
Let z(u) = -u**5 - u. Let p(m) = -12*m**4 - 4*m**3 + 28*m**2 - 4*m - 16. Let n(b) = -p(b) + 4*z(b). Find k such that n(k) = 0.
-1, 1, 2
Let l(z) be the third derivative of z**8/336 + z**7/21 + 37*z**6/120 + z**5 + 3*z**4/2 - 2*z**2 - 38. Determine v, given that l(v) = 0.
-3, -2, 0
Let p be (-4)/16 + 3*114/792 + 2. What is w in 24/11*w + 36/11*w**2 + 6/11*w**4 + p*w**3 + 6/11 = 0?
-1
Let z be -1 - (1 + 1) - (-8 - -6). Let v be (-33)/(-20) + z + 6/(-15). Determine k so that 1/4*k**3 + 1/4*k**2 + 0 - v*k**4 + 0*k - 1/4*k**5 = 0.
-1, 0, 1
Factor -2/13*b**2 - 70/13*b + 72/13.
-2*(b - 1)*(b + 36)/13
Let k(z) be the first derivative of 5*z**6/24 - 3*z**5/4 - 15*z**4/16 + 55*z**3/12 - 15*z**2/4 - 63. Solve k(v) = 0 for v.
-2, 0, 1, 3
Let i = 16 - 13. Factor -3*y**2 - 21*y + i*y**4 + 3*y**3 + 12*y + 6*y.
3*y*(y - 1)*(y + 1)**2
Let w be (-8*6)/((1683/(-136))/3). Factor -w + 32/11*q - 2/11*q**2.
-2*(q - 8)**2/11
Let d(o) be the first derivative of o**5/35 + o**4/14 - 4*o**3/7 + o**2 - 5*o/7 - 267. Find p such that d(p) = 0.
-5, 1
Let k(t) be the third derivative of -t**7/490 - t**6/140 + t**5/140 + t**4/28 + 17*t**2 - 2. Factor k(m).
-3*m*(m - 1)*(m + 1)*(m + 2)/7
Let j(v) = 2*v - 1. Let t be j(-5). Let s = -8 - t. Let -25*y**s - 8*y**2 + 3*y**3 + y**3 + 2*y**2 = 0. What is y?
-2/7, 0
Suppose 2*v = 0, -128*w + 125*w = -2*v. Determine p so that 18/11*p**4 + 14/11*p**5 + w*p - 24/11*p**3 + 0 - 8/11*p**2 = 0.
-2, -2/7, 0, 1
Let z = 14/465 - -1594/8835. What is y in -16/19*y**2 - 8/19*y + 2/19*y**5 + z*y**4 - 6/19*y**3 + 0 = 0?
-2, -1, 0, 2
Let j be 15/(-10)*12/(-9). Solve -16*s**j - 2*s - 36 + 26*s + 12*s**2 = 0 for s.
3
Let b(f) = -f**2. Let h(o) = 2*o**2 - 6*o + 8. Let c(g) = 4*b(g) + 4*h(g). Solve c(q) = 0.
2, 4
Let d(x) be the second derivative of -2*x**6/15 + 2*x**5/5 - 4*x**3/3 + 2*x**2 + 72*x. Let d(g) = 0. Calculate g.
-1, 1
Let m(k) = -120*k**4 + 10*k**3 + 420*k**2 - 440*k + 65. Let w(i) = -11*i**4 + i**3 + 38*i**2 - 40*i + 6. Let s(t) = 6*m(t) - 65*w(t). Factor s(r).
-5*r*(r - 2)*(r - 1)*(r + 4)
Factor 512/21 + 64/21*j + 2/21*j**2.
2*(j + 16)**2/21
Let g(d) be the first derivative of -9/4*d**4 + d**3 - 6*d + 9/2*d**2 + 3/5*d**5 - 5. Let g(a) = 0. What is a?
-1, 1, 2
Let g(m) be the second derivative of m**5/80 - m**4/16 - m**3/6 - 90*m. Suppose g(s) = 0. Calculate s.
-1, 0, 4
Let l be -2 + (0 - 2) - (-9)/1. Factor 4*b**3 + l*b**3 + 8*b - 14*b**3 - b**4 + 0*b**4 + b**5 + b**2 + 4.
(b - 2)**2*(b + 1)**3
Suppose -c + 3*q = 12, 3*q + q = 4*c + 8. Let 2*w**3 - 5*w**c + 15*w + 9 + 3*w**2 + 0*w**2 = 0. What is w?
-1, 3
Let a be 42/(-6) + 4 - 74/(-20). Let b(v) be the second derivative of 0 - a*v**5 + 2/3*v**3 - 5/6*v**4 + 5*v + 0*v**2. Determine o so that b(o) = 0.
-1, 0, 2/7
Let m(f) be the second derivative of f**5/60 - f**4/9 - f**3/18 + 2*f**2/3 - 2*f - 71. Factor m(s).
(s - 4)*(s - 1)*(s + 1)/3
Let m(n) = -5*n**4 - 10*n**3 + 40*n + 35. Let q(j) = -3*j - 1. Let s(l) = l. Let z(h) = -q(h) - 2*s(h). Let y(a) = -m(a) + 30*z(a). Let y(k) = 0. What is k?
-1, 1
Suppose 0 = -35*b - 147*b - 236*b + 10450. Factor -15/2*g**2 + b*g - 15/2.
-5*(g - 3)*(3*g - 1)/2
Let x be ((-2)/(-40))/(33/33). Let g(n) be the second derivative of 1/2*n**3 + 1/2*n**2 + 1/4*n**4 + x*n**5 + 0 - 5*n. Find c, given that g(c) = 0.
-1
Let u(j) be the third derivative of j**8/57120 + j**7/21420 - 7*j**4/4 - 39*j**2. Let m(h) be the second derivative of u(h). Factor m(i).
2*i**2*(i + 1)/17
Let c(x) be the first derivative of 2*x**2 + 4/3*x**3 - 8*x - 11. Factor c(t).
4*(t - 1)*(t + 2)
Let p(k) be the first derivative of 56*k**5/5 - 11*k**4 - 11*k**3/2 + 7*k**2/4 + k - 8. Determine d, given that p(d) = 0.
-1/4, 2/7, 1
Let c = -59/107 - -520/749. Find i such that 1/7*i - 1/7*i**3 - 1/7 + c*i**2 = 0.
-1, 1
Let o(a) = -a**2 + 110*a + 2604. Let v be o(-20). Let 0*n - 4/3*n**5 + 0*n**3 + 4*n**v + 0*n**2 + 0 = 0. What is n?
0, 3
Suppose -5*u - 2*c = -30, -3*u + 32 = 45*c - 41*c. Let f(h) be the first derivative of -1/9*h**3 - 3 - 1/4*h**u + 1/3*h**2 + 0*h. Factor f(p).
-p*(p + 1)*(3*p - 2)/3
Suppose 2*s - 19 = w, s - 2*w = -3*w + 17. Suppose -i + s = 5*y, 12 + 0 = -4*i. Factor 0*l + 3/2*l**5 + 0 - y*l**2 - 9/2*l**3 + 0*l**4.
3*l**2*(l - 2)*(l + 1)**2/2
Let o(y) = -4*y**2 - 11*y - 19. Let p(c) = 2*c**2 + 5*c + 9. Let b(i) = 4*o(i) + 9*p(i). Let f(q) = -q**2 - 2. Let l(d) = 6*b(d) + 15*f(d). Factor l(h).
-3*h*(h - 2)
Let u(y) be the first derivative of 2*y**3/9 - 5*y**2/3 - 28*y/3 - 341. Determine p so that u(p) = 0.
-2, 7
Let x(h) be the third derivative of -h**6/24 - h**5/2 - 25*h**4/24 + 10*h**3 + 17*h**2 + 4. Find z, given that x(z) = 0.
-4, -3, 1
Factor -12 + 205*n + 12 - 43*n - 81*n**2 + 21*n**4 - 27*n**3 - 3*n**5.
-3*n*(n - 3)**3*(n + 2)
Suppose -q + 6 = -16. Let d = q - 64/3. Factor -2/3*r**4 + 4/3*r**3 - 4/3*r + 0*r**2 + d.
-2*(r - 1)**3*(r + 1)/3
What is a in -2/3*a**2 - 32/15 - 12/5*a = 0?
-2, -8/5
Let r(p) = -3*p - 25. Let v be r(-17). Let i = -23 + v. Determine o so that 0*o**4 + 24*o**2 + o**4 - 15*o**i - o**4 - 12*o + 3*o**4 = 0.
0, 1, 2
Determine z, given that -13*z**4 + 45 - 8*z**4 - 250*z**2 + 41*z**4 + 120*z + 20*z**5 - 20*z**3 + 65*z**4 = 0.
-3, -1/4, 1
Let y(p) be the third derivative of -p**7/504 - 11*p**4/24 - p**2. Let r(o) be the second derivative of y(o). Determine t, given that r(t) = 0.
0
Let g(s) = -7*s**4 - s**3 + 6*s**2 + 10*s - 8. Let p(a) = -13*a**4 - 2*a**3 + 12*a**2 + 19*a - 16. Let f(l) = 11*g(l) - 6*p(l). Determine z so that f(z) = 0.
-2, 1, 2
Let v(h) be the first derivative of -h**3/4 + 3*h**2/2 - 6. Determine w so that v(w) = 0.
0, 4
Let k be ((-104)/13 + 7)*0. Factor 0*j**4 + k*j**2 - 2/17*j**3 + 0*j + 0 + 2/17*j**5.
2*j**3*(j - 1)*(j + 1)/17
Let s(x) = -20*x**5 - 65*x**4 + 90*x**3 + 35*x**2 - 85*x. Let h(k) = 3*k**5 + 9*k**4 - 13*k**3 - 5*k**2 + 12*k. Let r(a) = 15*h(a) + 2*s(a). Factor r(v).
5*v*(v - 1)**2*(v + 1)*(v + 2)
Let q be 4*7/(-14) - (1 - 5). Let -15/2*t**q + 5/2*t**3 + 15/2 - 5/2*t = 0. Calculate t.
-1, 1, 3
Factor -3*h**2 - 12*h**3 - 4285*h + 5*h**4 + 4295*h + 2*h**3 - 2*h**2.
5*h*(h - 2)*(h - 1)*(h + 1)
Let i be ((-252)/(-54))/((-4)/(-6)) - 0. Suppose -n = -v + 2, -5*n + n + v = -i. Determine u, given that 0 + 24/11*u**n + 2/11*u**2 - 2/11*u = 0.
-1/3, 0, 1/4
Let a(d) be the third derivative of -d**6/540 - 2*d**5/135 + d**4/108 + 4*d**3/27 - 4*d**2 - 11. What is t in a(t) = 0?
-4, -1, 1
Let w be 5/(3*(-4)/36*-3). Factor -40*m**2 - 30*m**4 + 75*m**3 + w*m**5 - 80*m + 142*m**4 - 72*m**4.
5*m*(m - 1)*(m + 1)*(m + 4)**2
Let q = 219/100 - 41/25. Let b(d) be the third derivative of 0 - 3*d**2 + 3/70*d**7 + q*d**5 - d**3 - 1/8*d**4 - 11/40*d**6 + 0*d. Find h such that b(h) = 0.
-1/3, 1, 2
Suppose 2*i = -4*k - 2*i + 80, 3*k - 64 = -2*i. Factor 0*p - 3 + p + k*p - 17 - 5*p**2.
-5*(p - 4)*(p - 1)
Let p be (-12)/(-32)*(-6)/(-9). Let n(g) be the second derivative of 0 + p*g**2 - 1/40*g**5 + 2*g + 1/12*g**3 - 1/24*g**4. Factor n(t).
-(t - 1)*(t + 1)**2/2
Let h(f) = 7*f**3 + 2*f**2 - f. Let g(q) = -12*q**3 - 4*q**2 + q. Let a(x) = 4*g(x) + 7*h(x). Factor a(m).
m*(m - 3)*(m + 1)
Solve 0 + 2/21*j**2 + 4/21*j = 0 for j.
-2, 0
Let o = 84 - 74. Let s be ((-5)/o)/((-3)/(-24)*-10). What is b in s*b**5 + 0*b + 2/5*b**4 - 2/5*b**3 - 2/5*b**2 + 0 = 0?
-1, 0, 1
Solve -2/3*n**3 - 15059072/3 - 76832*n - 392*n**2 = 0.
-196
Let l(r) = -r**2 + 