21*d**2 + 24/7 + 2/21*d**3 = 0 for d.
-3, 1, 12
Let i(r) = 11*r**3 + 11*r**2 - 482*r + 480. Let o(z) = -6*z**3 - 6*z**2 + 240*z - 240. Let a(k) = -3*i(k) - 5*o(k). Determine u, given that a(u) = 0.
-10, 1, 8
Let s be 21 - (-1 + -1 + 2). Suppose -3*b + 6*w + 13 = 7*w, -3*b - 3*w + s = 0. Factor 0 - 1/2*o**b - 1/6*o - 2/3*o**2.
-o*(o + 1)*(3*o + 1)/6
Let n(f) = 20*f + 18. Let w be n(-1). Let g be (-2 - -1 - (-63)/(-35))*w. Factor 12/5 - g*p - p**2.
-(p + 6)*(5*p - 2)/5
Suppose 7*c - 130 = 31. Suppose 27*m = 185 - c. Factor -3/4 - m*b + 27/4*b**2.
3*(b - 1)*(9*b + 1)/4
Let s(a) be the first derivative of 294*a**6 - 6888*a**5/5 + 1597*a**4 + 656*a**3/3 + 8*a**2 - 182. Determine m, given that s(m) = 0.
-1/21, 0, 2
Let -9*y**2 - 25/3*y**3 + 25/3*y + 1/3*y**4 + 26/3 = 0. What is y?
-1, 1, 26
Let t(j) = -5*j - 125. Let i be t(-29). Suppose 5*k + i = 15*k. Determine l so that -3/4*l**k - 3/4 - 3/2*l = 0.
-1
Let b(w) be the first derivative of w**6/6 + 11*w**5/5 + 25*w**4/4 + 5*w**3/3 - 13*w**2 - 16*w - 1714. Determine m, given that b(m) = 0.
-8, -2, -1, 1
Suppose 32*t = 22*t + 20390. Let v = -2036 + t. Suppose 2/9*i**2 + 2/9*i**v - 8/9*i - 8/9 = 0. What is i?
-2, -1, 2
Find i, given that 26*i - 48 - 34*i - 44*i**2 - 11*i**3 - 68*i - i**4 = 0.
-4, -3, -2
Suppose 5*c + 1262*d - 1264*d = 32, -4*d = 64. Let -12/7*m**2 + 3*m**5 + c*m - 54/7*m**4 + 0 + 45/7*m**3 = 0. Calculate m.
0, 4/7, 1
Let x be (-6)/(-48)*-28*(-12)/(-7). Let m be x/(-24)*(42 + -12). Factor 15 - 81/2*z + m*z**2.
3*(z - 5)*(5*z - 2)/2
Let n(x) be the second derivative of 0*x**2 + 7 - 1/6*x**6 - 5/42*x**7 + 3*x + 0*x**3 + 5*x**4 + 2*x**5. Factor n(p).
-5*p**2*(p - 3)*(p + 2)**2
Factor x**4 - 1098075 + 3630*x**3 - 2617*x - 1412*x + 3*x**4 + 399*x + 1098072*x**2 - x**4.
3*(x - 1)*(x + 1)*(x + 605)**2
Let k(z) = -4*z**2 - 7*z - 3. Let f(a) = 21*a + 16 + 22*a**2 + 27*a - 12*a. Let g = -12529 + 12526. Let o(b) = g*f(b) - 16*k(b). Find n such that o(n) = 0.
0, 2
Let q(n) = 2*n**2 + 5*n - 38. Let m be q(-6). Factor -1750*z**4 + 12*z**2 + 1752*z**4 + 4*z**3 + m*z + 5*z**3.
z*(z + 2)**2*(2*z + 1)
Let g(q) be the first derivative of 2*q**6/3 + 44*q**5/5 + 34*q**4 + 56*q**3/3 - 70*q**2 - 100*q + 3577. Solve g(u) = 0.
-5, -1, 1
Let s(m) be the second derivative of 11*m**7/189 + 4*m**6/5 + 166*m**5/45 + 16*m**4/3 - 64*m**3/27 + 261*m. Find w, given that s(w) = 0.
-4, -2, 0, 2/11
Let v = 914 + -913. Let g(f) = -13*f**3 - 21*f**2 + 11*f + 20. Let t = 1 - 2. Let s(z) = -z**3 - z**2 - z. Let o(w) = t*g(w) + v*s(w). Let o(q) = 0. What is q?
-5/3, -1, 1
Let h = 2969/117 - 327/13. Let g(x) be the first derivative of 0*x**2 + h*x**3 - 2/3*x + 15. Factor g(v).
2*(v - 1)*(v + 1)/3
Let d(m) be the third derivative of -m**5/100 + 146*m**4/5 - 170528*m**3/5 - 1052*m**2. Suppose d(g) = 0. Calculate g.
584
Suppose -22 = -35*n + 30*n - 4*u, 4*u = 12. What is c in 212*c - 27*c**2 - 85*c**n - 104 + 14*c**3 - 10*c**3 = 0?
1, 26
Let f(h) be the second derivative of h**6/6 - 17*h**5/2 - 45*h**4 - 275*h**3/3 - 185*h**2/2 + 2093*h. Factor f(t).
5*(t - 37)*(t + 1)**3
Let o(s) = 4*s**3 + 236*s**2 - 12*s + 6. Let f(t) = 21*t**3 + 1190*t**2 - 62*t + 31. Let m(j) = 6*f(j) - 31*o(j). Solve m(g) = 0.
0, 88
Let q(n) be the first derivative of 0*n + 3/4*n**4 + 7*n**3 + 9*n**2 + 110. Suppose q(j) = 0. What is j?
-6, -1, 0
Let j(t) = t**2 - 1174*t - 10644. Let a be j(-9). Factor 0 - 16/13*h**a - 12/13*h + 2/13*h**4 + 2*h**2.
2*h*(h - 6)*(h - 1)**2/13
Let y(m) = -20*m**4 - 52*m**3 + 296*m**2 + 512*m + 16. Let s(c) = -4*c**4 - 10*c**3 + 59*c**2 + 102*c + 3. Let n(k) = 16*s(k) - 3*y(k). Solve n(p) = 0 for p.
-3, -2, 0, 4
Let x = 29762/265 - 5910/53. Factor 2/3*f**3 + 0 - 14/15*f**2 - x*f.
2*f*(f - 2)*(5*f + 3)/15
Let k(s) be the first derivative of 14 - 54*s**3 + 0*s + 135/4*s**4 - 162*s**2 + 1/4*s**6 - 51/10*s**5. Factor k(u).
3*u*(u - 6)**3*(u + 1)/2
Let s be -1*(-1 - (84/(-14) + 7)). What is n in 4 + 1/3*n**s - 13/3*n = 0?
1, 12
Let b be (2/5 - 0)*(-80)/(-528)*1. Let j(y) be the first derivative of 7/11*y**2 - 12/11*y - b*y**3 - 12. Factor j(g).
-2*(g - 6)*(g - 1)/11
Let u(o) be the second derivative of -o**5/5 - 4*o**4 - 58*o**3/3 - 36*o**2 - 471*o. Factor u(y).
-4*(y + 1)*(y + 2)*(y + 9)
Let r(y) = y**2 - 8*y + 14. Let p be r(6). Factor 4*a**4 - 3*a**3 + 27*a - 20*a**p - 15*a + 7*a**3.
4*a*(a - 1)**2*(a + 3)
Let j(g) be the second derivative of -g**6/210 + 3*g**5/140 + g**4/3 + 83*g. What is x in j(x) = 0?
-4, 0, 7
Let a(w) be the first derivative of -2*w**3/3 - 3012*w**2 - 4536072*w + 965. What is s in a(s) = 0?
-1506
Let f(m) = -m**3 + 3*m**2 - 4*m - 2. Let b be f(3). Let n(d) = -2*d**2 - 21*d + 23. Let u(v) = v**2 + 10*v - 11. Let o(h) = b*u(h) - 6*n(h). Factor o(k).
-2*(k - 1)*(k + 8)
Factor -24/7*i**3 - 99/7*i**2 + 3/7*i**4 + 0*i + 0.
3*i**2*(i - 11)*(i + 3)/7
Let b = -3863 + -7. Let z be 3/10 - b/2100. Factor z*s**2 - 9/7*s**3 - 3/7*s**4 + 3/7*s**5 + 0 - 6/7*s.
3*s*(s - 1)**3*(s + 2)/7
Suppose 3*a - f - 6 = -4*f, -a + f = 0. Let l be (-352)/44 - a*-10. Solve -2/9*v**3 + 10/9*v + 0 + 8/9*v**l = 0 for v.
-1, 0, 5
Let w be 4 + -15 + 3 + 32/8. Let n(z) = -6*z**3 + 6*z**2 - 8*z. Let l(d) = -13*d**3 + 12*d**2 - 17*d. Let x(g) = w*l(g) + 9*n(g). Factor x(t).
-2*t*(t - 2)*(t - 1)
Let g(v) be the second derivative of 0*v**2 - 1/15*v**6 - 2*v + 191 + 16/9*v**3 - 38/27*v**4 + 7/15*v**5 + 1/378*v**7. Let g(f) = 0. Calculate f.
0, 2, 12
Solve -740/3 + 70*w**3 + 500*w - 5/3*w**4 - 965/3*w**2 = 0 for w.
1, 2, 37
Let i(j) be the third derivative of j**5/270 + 107*j**4/108 - 4*j**3 - 67*j**2. Find m such that i(m) = 0.
-108, 1
Solve 70/3*o + 74/3*o**3 + 2/3*o**4 + 142/3*o**2 + 0 = 0 for o.
-35, -1, 0
Factor -5*v**3 - 4950*v + 6750 + 615/2*v**2.
-5*(v - 30)**2*(2*v - 3)/2
Let d be ((-1074)/(-4))/(27/36) - 4. Suppose -90 + d = 12*u. Let 3*g**2 - 25*g**4 + u*g**4 + 6*g**3 - 6*g**2 = 0. What is g?
0, 1
Let o(n) be the second derivative of -n**8/30240 + 13*n**6/3240 + n**5/45 + n**4/6 + 3*n**2/2 + 159*n. Let w(u) be the third derivative of o(u). Factor w(y).
-2*(y - 4)*(y + 1)*(y + 3)/9
Let t(q) be the third derivative of -1/390*q**5 + 0 + 15*q**2 - 2/39*q**3 - 1/52*q**4 - 3*q. Factor t(f).
-2*(f + 1)*(f + 2)/13
Let y = 406633/110901 + 4/110901. Determine a so that -y*a**2 + 0 + 10/3*a = 0.
0, 10/11
Let y(f) be the second derivative of -f**4/3 - 380*f**3/3 + 2352*f**2 - 7099*f. Factor y(c).
-4*(c - 6)*(c + 196)
Factor 7/3*y**3 - 1237/3*y + 494/3 - 1724/3*y**2.
(y - 247)*(y + 1)*(7*y - 2)/3
Let o(z) be the third derivative of -z**7/945 + z**6/108 - 2*z**5/135 - z**2 + 323*z. Solve o(n) = 0.
0, 1, 4
Let a be (-14)/2 + 4424/616. Let z be (((-126)/165)/(-7))/((-2)/(-10)). Factor -4/11*m**2 - z*m + 0 + a*m**3.
2*m*(m - 3)*(m + 1)/11
Let l(c) be the first derivative of -c**4/22 - 610*c**3/33 - 607*c**2/11 - 606*c/11 - 2870. Factor l(f).
-2*(f + 1)**2*(f + 303)/11
Let s(k) be the first derivative of 17/22*k**4 - 8/11*k**3 - 68/11*k**2 + 128/11*k + 103 - 2/55*k**5. Solve s(t) = 0.
-2, 1, 2, 16
Let d be ((-2)/5)/((-252)/(-630)). Let m be (-2)/d - 8/32*-12. Factor 1/9*c**3 + 1/3*c**2 - 2/9*c - 1/3*c**4 + 1/9*c**m + 0.
c*(c - 2)*(c - 1)**2*(c + 1)/9
Let k = -22597/75 + 904/3. Let d(v) be the second derivative of 1/5*v**4 + 0 + 0*v**2 - k*v**6 + 28*v + 7/50*v**5 + 0*v**3. Find t such that d(t) = 0.
-2/3, 0, 3
Let f(l) be the first derivative of l**4/8 + 65*l**3/6 + 363*l**2/4 + 531*l/2 + 1649. Let f(v) = 0. What is v?
-59, -3
Suppose 32 = -2*c + 4*z, -718 + 664 = -c - 5*z. Solve -4/3*w**c + 2/3*w**3 + 8/3*w**2 - 4/3 - 1/3*w**5 - 1/3*w = 0 for w.
-4, -1, 1
Let h be 60/45 + (-10)/(-6). Let z(y) = 2*y**2 - 1. Let k(m) = -5*m**2 - 5*m + 16. Let q(g) = h*k(g) + 6*z(g). Factor q(i).
-3*(i - 2)*(i + 7)
Let s be -1*7/(14/(-886)). Let a = -439 + s. Suppose 0 + l**2 + 0*l + 1/4*l**a + 5/4*l**3 = 0. What is l?
-4, -1, 0
Let c(z) be the third derivative of 1/1575*z**7 + 0 + 60*z**2 + 1/45*z**4 - 1/225*z**6 - 4/45*z**3 + 0*z + 1/150*z**5. Solve c(p) = 0.
-1, 1, 2
Suppose -6172 = -562*l - 3970 + 18030. Factor 3/2*c**2 + 3/2*c**4 + l*c + 24 - 9*c**3.
3*(c - 4)**2*(c + 1)**2/2
Let h(x) be the third derivative of -x**6/200 + x**5/25 + 21*x**4/40 - 4751*x**2. Find l such that h(l) = 0.
-3, 0, 7
Let r(u) be the first derivative of -u**7/252 - 2*u**6/45 + 19*u**5/120 - 5*u**4/