*c + 8/3*c**3 - 1/3*c**4 - 1/3*c**2 + 24 = 0?
-3, 1, 4, 6
Let c be -3 + 35*(5 - 96/20). Let a(m) be the second derivative of 0 + 0*m**5 - 2/5*m**2 + 0*m**3 + 1/12*m**c - 1/150*m**6 + 10*m. Find f, given that a(f) = 0.
-2, -1, 1, 2
Let y(j) be the first derivative of -j**3/7 - 18*j**2 - 249*j/7 - 163. Solve y(r) = 0 for r.
-83, -1
Let x(t) be the third derivative of -t**6/360 - 167*t**5/60 - 861*t**4 + 10584*t**3 - 9493*t**2. Suppose x(r) = 0. Calculate r.
-252, 3
Suppose -3*m - 160 = -193. Factor -36982 - m*s - 10*s**2 + s**3 + 36982.
s*(s - 11)*(s + 1)
Let a(z) be the third derivative of 5*z**8/336 + 137*z**7/6 + 14360*z**6 + 4579200*z**5 + 679680000*z**4 - 2764800000*z**3 + 35*z**2 + 11*z. Factor a(i).
5*(i - 1)*(i + 240)**4
Let b(w) be the second derivative of -1/6*w**6 - 5/6*w**4 - 34*w + 0 - 1/2*w**5 - 1/2*w**2 - 1/42*w**7 - 5/6*w**3. Factor b(o).
-(o + 1)**5
Let u(g) be the first derivative of 2*g + 25/2*g**2 + 2 + 5/3*g**3 + 1/12*g**4. Let j(z) be the first derivative of u(z). Factor j(c).
(c + 5)**2
Let q be (5/(-2))/(460/(-103408)). Suppose 23*a + q = 608. Factor -4/13*w**a - 6/13*w**3 + 0 + 0*w**4 + 2/13*w**5 + 0*w.
2*w**2*(w - 2)*(w + 1)**2/13
What is b in 90*b**4 - 152*b - 36*b**2 - 47823 + 47799 - 114*b**2 + 236*b**3 = 0?
-3, -2/5, -2/9, 1
Let q(d) be the second derivative of d**8/84 - 8*d**7/105 + 48*d**2 - 153*d. Let y(m) be the first derivative of q(m). Factor y(v).
4*v**4*(v - 4)
Let -22/5*y**2 + 2*y**5 + 0 - 8/5*y + 78/5*y**3 - 58/5*y**4 = 0. Calculate y.
-1/5, 0, 1, 4
Factor -2/7*c**3 + 128/7*c - 320/7 - 4/7*c**2.
-2*(c - 4)**2*(c + 10)/7
Let y(r) = -r + 17. Let j be y(0). Suppose -l - j = -b - 4*b, 3*l = -2*b. Let 3*o + 7*o**4 - 3*o**2 - 7*o**4 - b*o**3 + 3*o**4 = 0. What is o?
-1, 0, 1
Let n(f) be the third derivative of -1/8*f**6 + 5/4*f**4 - 7/12*f**5 - 12*f + 0*f**3 + 1/14*f**7 + 0 + 5/336*f**8 - 9*f**2. Find s, given that n(s) = 0.
-3, -2, 0, 1
Factor 96768*x - 401408 + 1458/7*x**3 - 7776*x**2.
2*(9*x - 112)**3/7
Let q(t) be the third derivative of -3/32*t**4 + 0 - 1/120*t**5 + 5/24*t**3 + 0*t - 11*t**2. Suppose q(y) = 0. What is y?
-5, 1/2
Suppose -11 = -14*h + 3. Let b be 11/(528/60) + h/(-1). Suppose 1/4*f**2 - b*f + 0 = 0. Calculate f.
0, 1
Let j be 48/(-40)*(1269/(-94) + (-2)/8*-44). Let 195/2*u**2 + 12675/2*u + 1/2*u**j + 274625/2 = 0. What is u?
-65
Let t(w) = -25*w - 421. Let l be t(-17). Let c(f) be the third derivative of 1/200*f**6 + 1/5*f**3 + 0 + 0*f**5 - 3/40*f**l + 7*f**2 + 0*f. Factor c(s).
3*(s - 1)**2*(s + 2)/5
Let k(u) = -5*u**2 - 29*u - 36. Let y(r) = -2*r**2 + r. Let f = 40 - 36. Let i(n) = f*y(n) - k(n). Find h such that i(h) = 0.
-1, 12
Let o(i) be the first derivative of -3*i**5/5 - 165*i**4/4 + 366*i**3 + 2112. Factor o(g).
-3*g**2*(g - 6)*(g + 61)
Let t = -915229 + 915232. Factor 2/3*c**t + 9/2*c**2 - 7/6*c + 0.
c*(c + 7)*(4*c - 1)/6
Let f be 12/(-16) + 28/48 + (-7590)/(-9900). Find d such that 12/5*d**3 - 36/5 + 39/5*d**2 - f*d**4 - 12/5*d = 0.
-2, -1, 1, 6
Suppose 3*i = 2*i + 5*r + 18, -4*r - 27 = -5*i. Suppose 80*t = 81*t - i. Factor 3*f + f**t + 4*f - 4*f - 2*f - 2*f**2.
f*(f - 1)**2
Let h be (-25)/(-2)*(-2)/(-5). Let t = 159 - 157. Factor 6*j**t - 8 - 3 + h - 16*j + 0.
2*(j - 3)*(3*j + 1)
Let z(g) = -18*g - 5*g**2 + 13 - 34 + 3*g. Let b(j) = -107 - j**2 + 0*j + 208 + 0*j - 3*j - 105. Let d(n) = -11*b(n) + 2*z(n). Factor d(r).
(r + 1)*(r + 2)
Let k = -1085 - -1088. Let s(p) be the third derivative of 0*p - 1/160*p**5 + 0*p**k + 14*p**2 + 1/64*p**4 + 0. Factor s(j).
-3*j*(j - 1)/8
Let k(x) = x**3 - 2*x**2 + 5*x + 1. Let l be k(4). Suppose l*m - 118 - 147 = 0. Factor 4*n**2 + 0 - 4/3*n + 2*n**4 - 13/3*n**3 - 1/3*n**m.
-n*(n - 2)**2*(n - 1)**2/3
Let i(x) be the second derivative of x**6/210 + 46*x**5/35 + 1058*x**4/7 + 194672*x**3/21 + 2238728*x**2/7 + 1527*x. Factor i(o).
(o + 46)**4/7
Let p(t) = t**3 - 7*t**2 + 12*t + 4. Let f be p(4). Suppose -3*u - 4*o + 29 = -2*o, -2*o - f = 0. Factor u*b**4 + 0*b - 4*b - 6*b**3 - 18*b**2 - 3*b**4.
2*b*(b - 2)*(b + 1)*(4*b + 1)
Solve -40*x + 45*x**5 - 1071*x**2 + 1868*x**2 + 595*x**3 - 1087*x**2 - 310*x**4 = 0.
-1/9, 0, 1, 2, 4
Let r(g) = 7*g**2 - 2*g + 57. Let m(f) = -3*f**2 + 2*f - 28. Let d(q) = -9*m(q) - 4*r(q). Let n be d(-12). Factor 1/5*c**2 + n - 4/5*c.
c*(c - 4)/5
Solve 126 + 162*u**3 + 153/2*u**2 + 15/2*u**4 - 372*u = 0 for u.
-21, -2, 2/5, 1
Suppose -5*g = 2*w - 0*w + 48, 5*g + 20 = 5*w. Let d(q) = -2*q**2 - 40*q + 26. Let k(v) = v**2 + 14*v - 9. Let h(a) = g*k(a) - 3*d(a). Let h(x) = 0. What is x?
1, 3
Let 181*d - 3*d**3 - 16*d + 3416*d**2 + 600 - 3422*d**2 = 0. What is d?
-5, 8
Let x(d) be the second derivative of -d**7/63 - 2*d**6/9 + d**5/10 + 70*d**4/9 - 196*d**3/9 - 1102*d. Determine a, given that x(a) = 0.
-7, 0, 2
Let i(n) = -3381*n - 37185. Let j be i(-11). Let -9/2*s**2 + 0*s + j - 3/2*s**3 = 0. What is s?
-2, 1
Factor -9687*b - 13 + 13 - 22*b**3 - 23*b**2 - 5*b**4 + 9681*b.
-b*(b + 1)*(b + 3)*(5*b + 2)
Let l be (4/8)/((-3)/6). Let k be 0*1/(0 - l). Factor -m**4 + 8*m**2 - 2*m**2 - m - 8 + k*m**2 + m**3 - 3*m.
-(m - 2)**2*(m + 1)*(m + 2)
Let d(m) = -m**5 - m**2 + 2*m. Let i(o) = -14*o**5 - 48*o**4 - 416*o**3 - 1548*o**2 - 2024*o. Let a(q) = -12*d(q) + i(q). What is p in a(p) = 0?
-8, -4, 0
Let w(t) be the second derivative of 3*t**5/20 - 7*t**4/4 - t**3/2 + 21*t**2/2 + t + 2462. Find d, given that w(d) = 0.
-1, 1, 7
Factor 1/6*u**4 - 4*u**3 - 72*u + 30*u**2 + 0.
u*(u - 12)*(u - 6)**2/6
Let v = 2430 - 2426. Let f(y) be the third derivative of 0*y + 0*y**3 - 1/210*y**7 - 1/20*y**5 + 14*y**2 + 0 - 1/40*y**6 - 1/24*y**v. Let f(n) = 0. What is n?
-1, 0
Let f(l) = 2*l**2 - 53*l + 17*l**2 + 54*l + 1 + 1. Let c be f(-1). Factor c*h**3 - 115*h**2 - 52*h - 41 + 202*h + 86.
5*(h - 3)**2*(4*h + 1)
Let m(t) be the third derivative of -1/15*t**5 - 7/30*t**6 - t**2 + 1/168*t**8 + 18*t + 13/12*t**4 + 0 + 7/3*t**3 - 1/21*t**7. Factor m(n).
2*(n - 7)*(n - 1)*(n + 1)**3
Let z(f) be the second derivative of -3/80*f**5 - 3/4*f**2 + 1/16*f**4 + 2*f - 1/120*f**6 - 2 + 7/24*f**3. Let z(w) = 0. What is w?
-3, -2, 1
Let b(o) be the third derivative of 0*o**3 + 0 - 1/120*o**5 + 27*o**2 + 0*o + 1/12*o**4. Solve b(x) = 0 for x.
0, 4
Suppose 71 = 3*h + 59. Let g(n) be the first derivative of -22 + 0*n + 4/3*n**3 - 2*n**4 + h*n**2 - 4/5*n**5. Solve g(x) = 0 for x.
-2, -1, 0, 1
Let u(a) = -3*a**2 + a - 4. Let o(s) = 128*s**2 - 58*s + 150. Let r(w) = 2*o(w) + 84*u(w). Factor r(f).
4*(f - 9)*(f + 1)
Let z(h) = h**3 - h + 1. Let a(c) = -4*c**3 + 156*c**2 - 316*c + 156. Let f(r) = a(r) + 8*z(r). Solve f(p) = 0.
-41, 1
Let o = 79 - -16. Solve -5*h**4 + o*h**2 + 44*h**3 + 70*h - 51*h**3 + 27*h**3 = 0.
-2, -1, 0, 7
Let s = -32/3 + 11. Suppose 7 - 64 = -19*p. Factor s*f**4 - 2/3*f**p + 0 + 1/3*f**2 + 0*f.
f**2*(f - 1)**2/3
Let r = 570617/6 + -95087. Factor -r*c + 0 + 5/6*c**2.
5*c*(c - 19)/6
Let x(f) be the first derivative of f**8/168 - 2*f**7/105 + f**6/60 - 3*f**2/2 + 30*f + 148. Let b(c) be the second derivative of x(c). Factor b(j).
2*j**3*(j - 1)**2
Let a(x) be the second derivative of 75*x**7/56 + 29*x**6/4 - 1179*x**5/80 + 39*x**4/4 - 5*x**3/2 - 3157*x. What is o in a(o) = 0?
-5, 0, 1/3, 2/5
Suppose -b - 2*m = -3 + 2, 0 = -4*b + 2*m + 24. Factor -8*f**5 + 165*f - 9*f**2 + 72 - 160*f**3 - 43 - 109 + 90*f**4 + 3*f**b - f**2.
-5*(f - 16)*(f - 1)**3*(f + 1)
Let j(f) be the first derivative of 5*f**3/3 - 25*f**2 + 30*f + 22. Let g(a) = 5*a**2 - 51*a + 28. Let r(k) = -5*g(k) + 6*j(k). Find q such that r(q) = 0.
1, 8
Let s be -7 - (20991/(-21) - 3). Let f = s + -995. Factor -64/7 - f*l**2 - 32/7*l.
-4*(l + 4)**2/7
Let -59*b**3 - 6*b**2 + b**4 + 26 + 61*b**3 - 7*b**2 - 58 + 8 - 38*b = 0. Calculate b.
-3, -2, -1, 4
Suppose -15*j - 1720 = -11*j. Let z = -430 - j. Factor 4/5*q**4 + 0*q**2 + z*q + 0*q**3 - 4/5*q**5 + 0.
-4*q**4*(q - 1)/5
Determine q, given that 886/5*q + 2/5*q**3 + 446/5*q**2 + 442/5 = 0.
-221, -1
Factor -1869480 - 5069958*o - 55793 - 16262122*o + 83731*o**2 - 36*o**3 - 2817927 - 28299*o**2.
-4*(o - 770)**2*(9*o + 2)
Let f(y) = -2*y**3 - y. Let r(a) = -5*a**3 - 3*a**3 + 2*a + 12*a**3 - a**3. Let c(q) = 5*f(q) + 3*r(q). Suppose c(b) = 0. Calculate b.
-1, 0, 1
Let h(k) be the second derivative of 0*k**2 + 8 - 2/55*k**5 - 1/33*k**3 + 6*k + 5/66*k**4. Determi