 + 12 + 3 - 9*c**3 - 18*c**2 - 19*c**3 - 3*c**4 - 90 = 0?
-5, 1
Suppose 9*m - 3073 = -3001. Let p(i) be the first derivative of -33/4*i**2 - 2 - m*i**3 - 21/8*i**4 - 3*i. Factor p(q).
-3*(q + 1)**2*(7*q + 2)/2
Suppose -28 = -13*n + 11. Factor -36*t - 9*t**n - 15*t**2 - 13 + 29*t**2 + 19*t**2 + 25.
-3*(t - 2)*(t - 1)*(3*t - 2)
Suppose -5*s + 5 = 0, 0 = 4*y + s + 151 - 56. Let p be y/(-84) + 8/(-28). Find n, given that p*n**2 + 0 + 3/4*n**4 + 3/4*n**3 + 0*n = 0.
-1, 0
Let l(a) = 43*a**2 - 9*a. Let h be 56/(-14) - (-4 + -1). Let o(u) be the second derivative of -u**4/12 - u**3/6 + 2*u. Let f(i) = h*l(i) - o(i). Solve f(k) = 0.
0, 2/11
Let b = 150 - 147. Let m(i) = i**2 - 2*i - 3. Let z be m(b). Factor 0*q - 2/9*q**2 + z.
-2*q**2/9
Let r(y) be the second derivative of y**7/21 + y**6/15 - 31*y**5/10 - 61*y**4/6 - 10*y**3 + 5*y + 5. Find i such that r(i) = 0.
-5, -1, 0, 6
Let p(y) be the second derivative of y**9/105840 + y**8/9408 - y**7/17640 - y**6/1008 + y**4/3 - y. Let c(a) be the third derivative of p(a). Factor c(f).
f*(f - 1)*(f + 1)*(f + 5)/7
Let m(s) be the first derivative of 1/90*s**5 - 1/72*s**4 + 13 + 0*s**3 + 16*s**2 + 1/120*s**6 + 0*s. Let f(t) be the second derivative of m(t). Factor f(b).
b*(b + 1)*(3*b - 1)/3
Let r(p) = -184*p**2 + 18*p - 4. Let y(u) = 185*u**2 - 14*u + 3. Let h(z) = 3*r(z) + 4*y(z). Find q, given that h(q) = 0.
0, 1/94
Let q(g) be the second derivative of g**6/120 - 7*g**5/60 - 3*g**4/4 + 85*g**2/2 + 3*g - 7. Let f(n) be the first derivative of q(n). Solve f(a) = 0 for a.
-2, 0, 9
Suppose 0 = -4*z + t + 3862, -62*z = -58*z - 5*t - 3854. Let h = z + -962. Determine j so that 4/7*j + 2/7*j**h + 0 - 2/7*j**2 - 4/7*j**3 = 0.
-1, 0, 1, 2
Let l(t) be the second derivative of t**5/5 - 10*t**4/3 + 95*t**2 - 27*t. Let a(s) be the first derivative of l(s). Factor a(f).
4*f*(3*f - 20)
Let q(n) = 298*n - 5364. Let z be q(18). Let x(u) be the first derivative of 30 + 0*u**2 + 0*u**3 + z*u + 2/15*u**5 - 1/6*u**4. Factor x(f).
2*f**3*(f - 1)/3
Let m = -15501 + 15505. Let b(d) be the second derivative of 24*d - 2/15*d**6 - 2*d**3 + 4*d**2 - 1/3*d**m + 0 + 3/5*d**5. Find r, given that b(r) = 0.
-1, 1, 2
Factor -2/3*w**2 - 25088/3 + 448/3*w.
-2*(w - 112)**2/3
Let n = 93397/9 - 10377. Let c(s) be the first derivative of -8/9*s**2 - 2/9*s**4 + 20/27*s**3 + n*s + 14. Determine f, given that c(f) = 0.
1/2, 1
Let q(j) be the first derivative of 3*j**4 + 46*j**3/3 + 47*j**2/3 + 4*j - 2749. What is x in q(x) = 0?
-3, -2/3, -1/6
Let z(s) be the first derivative of s**4 - 22*s**3 - 8*s**2 + 264*s + 1797. Determine m, given that z(m) = 0.
-2, 2, 33/2
Suppose -141*v = -3*f - 145*v + 25, -2*f + 2 = -v. Factor 0*l**2 + 1/3*l**f + 1/3*l**4 + 0*l + 0.
l**3*(l + 1)/3
Suppose 3*o**2 + 14*o - 40/3 - 11/3*o**3 = 0. What is o?
-2, 1, 20/11
Let k be (8/(-9))/(12/(-27)). Let g(t) be the first derivative of -80/3*t**3 - 45/4*t**4 + 10*t - 11 - 25/2*t**k. Factor g(v).
-5*(v + 1)**2*(9*v - 2)
Suppose 949/6*u - 1/6*u**2 + 0 = 0. What is u?
0, 949
Suppose 5*s + 744 = 2*n + 554, 5*s - 5 = -n. Factor 5/2*l**2 - n - 125/2*l.
5*(l - 26)*(l + 1)/2
Let l be (-1)/(9/(-33)) - (-22)/66. Find w such that -14*w + 9*w - 3*w**4 - 2 + 5*w**2 + l*w**2 + 8*w + w**3 = 0.
-1, 1/3, 2
Let k(x) be the first derivative of 16*x**3/21 + 57*x**2/7 - 130*x/7 + 6582. Find t, given that k(t) = 0.
-65/8, 1
Let z(d) be the first derivative of 0*d**3 - 3/4*d**4 + 37 + 9/2*d**2 - 6*d. Find q such that z(q) = 0.
-2, 1
Let u(z) be the third derivative of z**5/30 - 23*z**4/12 + 14*z**3 + 57*z**2 - 2*z - 7. Factor u(i).
2*(i - 21)*(i - 2)
Suppose 4*s = -d + 16 + 3, 5*s + 3*d = 22. Suppose s*y = 5*q, -2*y + 3*q - 6 = -y. Find t, given that y*t**4 + 9*t - 9*t**3 - 89*t**2 + 0 + 92*t**2 - 6 = 0.
-1, 1, 2
Let j = 20 + -16. Factor -137*u**4 - 4*u**3 - 139*u**j - 2*u**2 + 274*u**4.
-2*u**2*(u + 1)**2
Let b = -185/11 + 17. Let m be (7056/(-77))/(-9) + -10. Solve 0 + 0*p - b*p**5 + 0*p**2 - 4/11*p**4 - m*p**3 = 0.
-1, 0
Let n(m) be the third derivative of -m**6/96 - 5*m**5/48 - 5*m**4/48 + 5*m**3/3 - 15*m**2 - 54. Find a such that n(a) = 0.
-4, -2, 1
Suppose -22*k = -19*k - 36. Let a(v) = v**3 - v. Let h(n) = -15*n**3 - 3*n**2 + 18*n. Let d(j) = k*a(j) + h(j). Factor d(r).
-3*r*(r - 1)*(r + 2)
Suppose -8*v = 16*v - 96. Let -110*l**v + 114*l**4 - l - 8*l**3 - 28*l**2 - 15*l = 0. What is l?
-1, 0, 4
Suppose 5*d + 5*u - 37 = 2*d, -32 = -4*d + 2*u. Let f(t) be the second derivative of d*t + 2/39*t**4 - 1/130*t**5 + 0 - 1/13*t**3 + 0*t**2. Factor f(q).
-2*q*(q - 3)*(q - 1)/13
Let j(z) be the first derivative of z**3/6 - 75*z**2/8 + 37*z/4 - 895. Determine w so that j(w) = 0.
1/2, 37
Let y(s) = s**3 + 425*s**2 - 46*s - 434. Let i(f) = 2*f**3 + 744*f**2 - 82*f - 760. Let n(o) = -9*i(o) + 16*y(o). Let n(x) = 0. Calculate x.
-1, 1, 52
Suppose -4*q - 3 = -5*g, -9 = -4*g - 3*q + 12. Suppose 2 = -2*a + 3*a. Solve g - 17*c**a + 15 - 28*c**2 + 2 - 80*c = 0.
-2, 2/9
Let l(d) be the first derivative of 14*d**5/55 + 921*d**4/2 + 7323980*d**3/33 - 2623776*d**2/11 - 2096704*d/11 + 6990. Suppose l(s) = 0. What is s?
-724, -2/7, 1
Let a(y) = y**2 - 847*y + 168224. Let t be a(529). What is r in -2/3*r - 2/15*r**t + 16/5 = 0?
-8, 3
Let l be -3 - (-10 + -6*(33/9 + -4)). Let y(j) be the first derivative of 3*j**4 - 3/5*j**l + 0*j + j**3 + 20 - 6*j**2. Determine i so that y(i) = 0.
-1, 0, 1, 4
Let r(a) be the second derivative of 1/4*a**3 + 0 + 0*a**2 - 3*a + 1/24*a**4. Determine n so that r(n) = 0.
-3, 0
Let n be ((-42)/600)/((-1)/(-4)). Let y = n - -46/75. Factor 0 - y*w**2 + 1/3*w.
-w*(w - 1)/3
Let a(q) be the third derivative of q**6/360 - 16*q**5/45 - 415*q**4/72 - 175*q**3/9 + 3*q**2 - 247*q + 2. What is r in a(r) = 0?
-5, -1, 70
Let d(i) = i**3 - 6*i**2 - 5*i + 30. Let r be d(6). Suppose -4*q + 3*k + 6 = r, q + 4*k = 25 - 33. Factor 2/7*l**5 - 2/7*l**3 + q*l - 2/7*l**2 + 0 + 2/7*l**4.
2*l**2*(l - 1)*(l + 1)**2/7
Let w(s) = 2*s**2 - 528*s + 478. Let h(r) = r**2 - 9. Let b(m) = 6*h(m) - w(m). Find i, given that b(i) = 0.
-133, 1
Let i be (-3 + 68/24)*-18. Let x(w) be the first derivative of -i*w**2 - 7 - 4*w - 2/3*w**3. Suppose x(s) = 0. What is s?
-2, -1
Suppose -5*y = -4*o + 2*o - 51, 4*y - 5*o = 34. Suppose -5*u - 48 = -y*u. Factor 7*s**3 - 3*s**3 - 2*s**2 - 2*s**3 + u*s**2.
2*s**2*(s + 3)
Suppose -a = 55*i - 46*i - 26, -5*i = -3*a + 14. Let w(b) be the second derivative of -12*b**i - 7/2*b**3 + 1/4*b**4 + 42*b + 0. Factor w(q).
3*(q - 8)*(q + 1)
Let p(l) be the third derivative of l**5/40 + 69*l**4/8 + 3852*l**2. Factor p(n).
3*n*(n + 138)/2
Determine l so that 3/2*l**3 + 0 + 0*l**2 + 9/4*l**4 + 0*l + 3/4*l**5 = 0.
-2, -1, 0
Let k be 480/6336*-33*3/(-10). Factor -81/4*i**2 + 0 + 81/4*i**3 + 0*i + k*i**5 - 27/4*i**4.
3*i**2*(i - 3)**3/4
Suppose 33*c - 2520 = 19*c. Factor -651*s - 867*s - 2116 - 414*s - 4*s**3 + c*s**2.
-4*(s - 23)**2*(s + 1)
Let r(u) be the first derivative of u**4 - 1708*u**3/3 + 852*u**2 - 1614. Let r(c) = 0. Calculate c.
0, 1, 426
Let g(u) be the first derivative of -2*u**3/21 - 184*u**2/7 + 11000. Let g(k) = 0. What is k?
-184, 0
Suppose -8*g + 7783 = 24487. Let k = -2088 - g. Solve -1/4*d**3 + k - 2*d**2 + 0*d = 0.
-8, 0
Suppose -60 = -5*s - 5*b, 167*s + b = 162*s + 24. Suppose 6/11*n**4 - 46/11*n**2 + 2/11*n**5 + 48/11*n - 18/11*n**s + 72/11 = 0. What is n?
-3, -1, 2
Let y = 112820 + -112819. Suppose 4*j**3 - 19/2*j + 39/2*j**2 - 26*j**4 + y = 0. What is j?
-1, 2/13, 1/2
Let c(g) be the third derivative of g**7/5880 + g**6/1260 - g**5/168 - g**4/28 + 77*g**3/6 - 81*g**2. Let b(i) be the first derivative of c(i). Factor b(z).
(z - 2)*(z + 1)*(z + 3)/7
Let t be ((-711)/(-36) + -20)*-12. Let a(h) be the first derivative of -4/3*h**t - 10*h**2 + 49 + 0*h. Factor a(u).
-4*u*(u + 5)
Let o(j) be the first derivative of -1/6*j**4 - 16/3*j - 2/3*j**2 + 10/9*j**3 + 58. Factor o(s).
-2*(s - 4)*(s - 2)*(s + 1)/3
Let z(n) = -7*n**3 - 24*n + 41. Let k(h) = -3*h**3 - 12*h + 20. Let d be ((-8)/5)/((-12)/(-30)). Let x(m) = d*z(m) + 9*k(m). Suppose x(l) = 0. What is l?
-4, 2
Factor -2/11*w**5 + 0 - 94/11*w + 284/11*w**2 + 100/11*w**4 - 288/11*w**3.
-2*w*(w - 47)*(w - 1)**3/11
Let v = 786302 + -16512278/21. Let 62/21 - v*k + 2/21*k**2 = 0. What is k?
1, 31
Let h = -183/268 - -817/804. Factor 7/6*s**4 + 65/6*s