 + 4/5*v**2.
4*(v + 7)*(v + 140)/5
Let g(h) be the second derivative of -h**6/135 - h**5/90 + h**4/54 + h**3/27 + 528*h. Factor g(u).
-2*u*(u - 1)*(u + 1)**2/9
Let s(u) = 7*u**2 - 207*u - 500. Let d(h) = h**2 - h - 35. Let p(o) = -2*d(o) + s(o). Let p(v) = 0. Calculate v.
-2, 43
Let q = 17027/7 + -50927/21. Factor 4 - q*t + 2*t**2.
2*(t - 3)*(3*t - 2)/3
Let k = 6332 + -6326. Let w(b) be the third derivative of 1/960*b**k + 0 + 0*b + 0*b**5 + 0*b**4 + 0*b**3 + 1/1680*b**7 - 24*b**2. Factor w(z).
z**3*(z + 1)/8
Let c(i) be the third derivative of -2/25*i**5 - 3/40*i**4 + 80*i**2 + 0*i + 0 + 0*i**3. Factor c(x).
-3*x*(8*x + 3)/5
Let m(c) be the first derivative of 5*c**6/2 - 24*c**5/5 - 93*c**4/5 + 202*c**3/5 + 297*c**2/10 - 486*c/5 + 4676. Solve m(d) = 0 for d.
-2, -1, 1, 9/5
Let i(d) be the second derivative of d**5/50 + 26*d**4/5 + 395*d**3 - 12482*d**2/5 - 2*d - 108. Factor i(b).
2*(b - 2)*(b + 79)**2/5
Let j(z) be the first derivative of z**4/32 - 99*z**3/4 + 5550*z**2 - 21904*z + 2078. Factor j(n).
(n - 296)**2*(n - 2)/8
Solve -1721506 + 6134*r - 5*r**2 - 2510494 + 4612*r - 1546*r = 0 for r.
920
Let d(q) = q**2 - q. Let a(w) = w - 5. Let h = -67 + 67. Let s be a(h). Let g(i) = 7*i**4 - 8*i**3 - 2*i**2 + 3*i. Let u(r) = s*g(r) - 15*d(r). Factor u(o).
-5*o**2*(o - 1)*(7*o - 1)
Suppose -188 = 4*y + 2*t, 10*y - t + 249 = 5*y. Let q = y + 55. What is p in -10*p**2 + 17*p - 5*p**2 + 15*p**4 - 23*p + q*p**5 = 0?
-2, -1, -1/2, 0, 1
Let x = -493177/3 - -166635. Solve -232/3*p + x + 2/3*p**2 = 0.
58
Let f(t) be the second derivative of t**5/110 - t**4/66 - 5*t**3/33 - 3*t**2/11 + 76*t + 1. Suppose f(i) = 0. What is i?
-1, 3
Let s be (-42)/(-245)*7*-5. Let m be (-1)/((-7)/63) + s. Suppose -8/7 + 1/7*r**m + 2/7*r**2 - 4/7*r = 0. Calculate r.
-2, 2
Let n = 189 + -182. Let u(l) = 10*l - 65. Let f be u(n). Solve 8/7 + 60/7*r - 216/7*r**4 - 72/7*r**3 + 108/7*r**f + 16*r**2 = 0 for r.
-1/3, 1, 2
Suppose 0 = 4*t + b - 6*b - 40, -4*b - 16 = 0. Let c(v) = 14*v**2 + 10*v - 8. Let p(s) = -9*s**2 - 6*s + 5. Let j(l) = t*c(l) + 8*p(l). Factor j(k).
-2*k*(k - 1)
Let p(c) be the first derivative of -20*c**6/21 + 212*c**5/35 - 26*c**4/7 - 212*c**3/21 + 72*c**2/7 - 1195. Let p(a) = 0. What is a?
-1, 0, 4/5, 1, 9/2
Suppose -3*c = -250*g + 255*g + 15, -g + 4*c + 20 = 0. Solve 1/7*h**4 + g*h - 1/7*h**2 + 0*h**3 + 0 = 0.
-1, 0, 1
Let n(d) be the first derivative of d**6/72 - d**5/3 - 15*d**4/8 - 21*d**3 - 29. Let m(f) be the third derivative of n(f). Find u such that m(u) = 0.
-1, 9
Let p be ((-91)/52)/((-2)/64). Factor 48*b - p*b**2 + 3*b**3 - b**5 - 147*b**4 + 74*b**4 + 79*b**4.
-b*(b - 4)**2*(b - 1)*(b + 3)
Let v(p) = 2*p**2 - 3*p. Let i(u) = -7*u**2 + 1279*u - 403225. Let g(s) = 4*i(s) + 12*v(s). Let g(x) = 0. What is x?
635
Let q = -13250 + 13252. What is p in -2/9*p**q + 8/9*p + 8/9 - 2/9*p**3 = 0?
-2, -1, 2
Suppose 0 = 4*j + 3*f - 25 + 19, 3*f = -2*j. Factor 486*v**3 - 8*v + 344*v**2 + 41*v**j + 515*v**3 - 264*v**3 + 132*v**3.
2*v*(5*v + 2)*(91*v - 2)
Suppose -3*l - 5 = 2*w - 8, w - 3*l - 6 = 0. Find t, given that 16*t**3 + 0*t**w + 3*t**4 - 10*t + 2*t**4 - 6*t**3 + 15 - 20*t**2 = 0.
-3, -1, 1
Let s(r) be the first derivative of -32*r**5/35 - 4*r**4 - 22*r**3/7 + 55*r**2/7 + 100*r/7 + 339. Find q such that s(q) = 0.
-2, -5/4, 1
Let j(l) be the second derivative of l**7/105 - l**6/25 - l**5/50 + 7*l**4/30 - 4*l**2/5 + 56*l + 21. Find x, given that j(x) = 0.
-1, 1, 2
Let u = -1333 + 1336. Let c be -3 + 259/42 - u. Suppose -7/6 - c*w**2 - 4/3*w = 0. Calculate w.
-7, -1
Suppose -3*p = 3*s - 18, -2*s + 25*p - 30*p = -30. Let d(w) be the second derivative of s*w**2 + 1/40*w**6 - 1/16*w**4 - 2*w + 0*w**3 + 0 + 0*w**5. Factor d(v).
3*v**2*(v - 1)*(v + 1)/4
Let r = 5327 - 5327. Let q(u) be the third derivative of r*u + 11/108*u**4 - 1/270*u**5 + 0 + 10*u**2 + 0*u**3. Factor q(m).
-2*m*(m - 11)/9
Suppose -23*n + 36*n = 65. Suppose -4*c = -2*z - 22, 4*z - 12 + 17 = -n*c. Factor 0 + 3/4*p**c + 0*p - 3/4*p**2.
3*p**2*(p - 1)/4
Let d be -964 + 956 + 12 + 2/(-1). Factor 14/5 - 12/5*j - 2/5*j**d.
-2*(j - 1)*(j + 7)/5
Let b be -5 + 3 + 1 - -1. Suppose b = -f + 7 - 4. Find t, given that -3*t - 211*t**f + 209*t**3 + 2*t**2 + t - 6*t**2 = 0.
-1, 0
Suppose -2*w + 3*m + 9 = 0, -5*m + 1 = 4*w - 6. Suppose -w*y + 0 = -6. Factor -7*p + 3*p**y - 6*p - 4*p + 5*p.
3*p*(p - 4)
Let m(a) be the second derivative of -a**5/20 + 23*a**4/3 + 127*a**3/2 + 144*a**2 - 726*a. Find y such that m(y) = 0.
-3, -1, 96
Let r(x) be the second derivative of -2*x**6/15 + 8*x**5/5 - 2*x**4 - 16*x**3/3 + 14*x**2 - x - 753. Factor r(o).
-4*(o - 7)*(o - 1)**2*(o + 1)
Let g(k) be the second derivative of k**6/10 + 21*k**5/20 - 11*k**4 - 848*k. Suppose g(u) = 0. What is u?
-11, 0, 4
Suppose 87 = 4*l - 9. Let r = 28 - l. Factor 12*u**4 - 19*u**3 - 10 - 6*u**5 - 10*u**2 + 25*u + u**5 + 8*u**r - u**3.
-5*(u - 2)*(u - 1)**3*(u + 1)
Let i(c) = -c**2 + 7. Let a be i(-3). Let h(q) = 5*q**2 + 4. Let r be h(a). Suppose -33*w**2 + 3*w**4 + r*w**2 - 3*w - 3*w = 0. What is w?
-1, 0, 2
Let g be 8103/1971 + ((-10)/9 - -1). Let i(f) be the first derivative of -8 - 1/3*f**2 + 0*f - 1/3*f**5 - f**g - f**3. Factor i(s).
-s*(s + 1)**2*(5*s + 2)/3
Let y(z) = z**3 - 70*z**2 + 183*z - 3172. Let w be y(68). Let n(j) be the second derivative of -w*j**2 + 0 + 25*j - 1/9*j**4 - 8/3*j**3. Factor n(o).
-4*(o + 6)**2/3
Let d(b) = -9*b**3 - 6*b**2 + 237*b - 573. Let s(u) = 2*u**3 - 2*u**2 + u - 1. Let a(f) = -d(f) - 3*s(f). Solve a(n) = 0.
-12, 4
Suppose -23*t**4 + 66 + 13499*t - 3*t**5 - 7*t**4 + 42*t**3 - 13658*t + 84*t**2 = 0. What is t?
-11, -2, 1
Let o = 85720 - 599828/7. Factor 4/7*s**2 + o*s - 216/7.
4*(s - 1)*(s + 54)/7
Let h(v) be the second derivative of 3*v**8/700 - v**7/6300 - 211*v**4/12 - 34*v. Let j(k) be the third derivative of h(k). Determine y so that j(y) = 0.
0, 1/72
Let b be 14 + ((-1330)/168 - 6). Let r(m) be the second derivative of 11*m - b*m**4 - 1/3*m**3 + 0*m**2 + 0. Factor r(z).
-z*(z + 2)
Factor -272/3 - 90*x + 2/3*x**2.
2*(x - 136)*(x + 1)/3
Suppose -5*o + 24*u = 19*u - 100, -2*u = 2*o - 88. Factor o*w**2 - 64/5*w**3 + 12/5 + 92/5*w.
-4*(w - 3)*(4*w + 1)**2/5
Let a = 1 + 4. Suppose 4*x + 13 = -a*w + 58, w - 1 = 0. Factor x*c**2 + 14*c**2 - 2*c - 22*c**2.
2*c*(c - 1)
Let n = 1149671 + -1149408. Find c such that -1/2*c**4 + 600*c - n*c**2 - 625/2 - 24*c**3 = 0.
-25, 1
What is c in -75*c + 2562*c**2 + 43*c - 32 - 2540*c**2 - 3*c**3 = 0?
-2/3, 4
Let y(m) = -4*m**2 - 77*m + 55*m + 6 + 40*m - 20*m**3. Let c(o) = -40*o**3 - 8*o**2 + 35*o + 13. Let t(k) = 2*c(k) - 5*y(k). Solve t(x) = 0.
-1, -1/5, 1
Let k be (5/35)/(-1)*(-3 - (-2 - -2)). Let x(l) be the first derivative of -3/14*l**4 + 6/7*l**2 + 3/35*l**5 + 12/7*l - 2 - k*l**3. Find j such that x(j) = 0.
-1, 2
Let a(u) = -u**3 + u**2 + 1. Let i(t) = 2*t**4 + 3*t**3 + 12*t**2 + 3*t + 4. Let l = -287 - -288. Let g(f) = l*i(f) - 4*a(f). Factor g(v).
v*(v + 1)**2*(2*v + 3)
Let y(i) = -i**2 - 30*i - 102. Let x be y(-26). Factor 16*c**2 - 38*c**2 - 13*c**x - c**3 + 6*c**3.
5*c**2*(c - 7)
Let h be (21/9 + -2)/(6/18). Let n be 2/1 + 9*h/3. Factor 27*k**4 + 42*k**4 - 12*k**n - 9*k**3 - 30*k**4.
-3*k**3*(k - 3)*(4*k - 1)
Suppose 5*d = d - 24. Let s(i) = 9*i**2 - 3*i + 15. Let h(q) = 4*q**2 - 2*q + 7. Let p(b) = d*s(b) + 14*h(b). What is u in p(u) = 0?
1, 4
Find m, given that -5/3*m**2 - 1/3*m**5 + 26/3*m - 11/3*m**4 + 16/3 - 25/3*m**3 = 0.
-8, -2, -1, 1
Let x = 283/119 - -698/357. Solve -x*m**3 + 6*m + m**2 - 7/3*m**4 + 0 - 1/3*m**5 = 0 for m.
-3, -2, 0, 1
Let r = -19932/13 - -99686/65. Factor 1/5*y + 0 - r*y**2 + 1/5*y**3.
y*(y - 1)**2/5
Let l(s) = -17*s**2 + 7628*s + 2926224. Let r(h) = -3*h**2 + 1526*h + 585243. Let u(d) = -4*l(d) + 22*r(d). Factor u(i).
2*(i + 765)**2
Factor -4/5*n**3 - 132/5*n**2 + 0 - 72*n.
-4*n*(n + 3)*(n + 30)/5
Let n(g) be the first derivative of -2*g**3/45 - 9*g**2/5 + 3406. Factor n(u).
-2*u*(u + 27)/15
Let 0 + 48/5*x**2 + 2/5*x**3 - 10*x = 0. What is x?
-25, 0, 1
Find i such that -1/2*i**5 + 87/2*i**3 + 85/2*i**4 + 0 - 43*i - 85/2*i**2 = 0.
-1, 0, 1, 86
Let z = 21 - 19. Suppose -2*m = -3*d + 14, 2*m - m + 8 = z*d. Factor 10*s + 2*s**3 - 1 - 3 + 3*s**2 - d*s**2 - 9*s**2.
2*(s - 2)*(s - 1)**2
Let c be (2 - 244/126)/((-1096)/(-72) - (144 + -129)). What i