t**2/18 - 152*t/9 + 1546. Let h(s) = 0. Calculate s.
-1, 152
Suppose -g = 2*g - 4*s - 26, -5*g + 3*s = -25. Suppose 3*l - 20 - 4 = -k, g*l = 0. Let 22*a + 5*a**4 - 25*a**2 + 8 + a**5 + 18*a - k - 5*a**3 = 0. Calculate a.
-4, 1
Let m be 491 + -489 + (9 - 7). Factor 83521/4 + 4913*d + 17*d**3 + 867/2*d**2 + 1/4*d**m.
(d + 17)**4/4
Let u = 979 + -962. Suppose -7*l - 26*l = u*l. Factor 49/5*a + l - 14/5*a**2 + 1/5*a**3.
a*(a - 7)**2/5
Let p(v) be the second derivative of 15*v**2 - 2*v - 68/3*v**3 - 2 + 11/2*v**4 - 2/5*v**5. Solve p(w) = 0 for w.
1/4, 3, 5
Let l(z) = -13*z**2 - 4830*z + 9782. Let f(m) = 4*m**2 + 1610*m - 3256. Let q(k) = -7*f(k) - 2*l(k). Determine u so that q(u) = 0.
-807, 2
Suppose 1 - 2 + 1 = 57*k. Let n(p) be the first derivative of 2/25*p**2 - 19 + k*p + 2/75*p**3. Factor n(x).
2*x*(x + 2)/25
Let i(f) = -11*f**2 - 232*f. Let b(j) = -14*j**2 - 232*j. Let c(o) = 4*b(o) - 5*i(o). Find h such that c(h) = 0.
0, 232
Let d(k) = -2263*k - 29415. Let s be d(-13). Find o, given that 1/3*o**3 + 2*o**2 + 8/3 + s*o = 0.
-2
Let s(a) = -333*a - 11320. Let j be s(-34). Factor 605 + 5/4*i**j + 55*i.
5*(i + 22)**2/4
Solve 2/3*g**5 + 11446*g - 26672/3*g**2 - 13924/3 + 76*g**4 + 6028/3*g**3 = 0 for g.
-59, 1, 2
Let u(t) be the second derivative of 2*t**6/5 - 32*t**5/25 - 7*t**4/15 + 8*t**3/3 + 8*t**2/5 + 3*t - 993. Determine l so that u(l) = 0.
-2/3, -1/5, 1, 2
Let x(n) be the first derivative of 16 + 0*n**2 + 3/2*n**4 - 1/15*n**6 - 3/10*n**5 - 5/3*n**3 + 6*n. Let g(s) be the first derivative of x(s). Factor g(i).
-2*i*(i - 1)**2*(i + 5)
Let l(f) = -7*f**2 - 7*f + 3. Let j(t) = 3*t**2 + 4*t - 7. Let w(u) = 2*u**2 + u + 1. Let v(o) = j(o) + 2*w(o). Let z(h) = 4*l(h) + 3*v(h). Factor z(g).
-(g + 1)*(7*g + 3)
Let k(f) = -37*f + 161. Let y be k(-28). Factor -67*q**3 - 13*q**3 - 1083*q - 22*q**3 + 3*q**4 + y*q**2 - 15*q**3.
3*q*(q - 19)**2*(q - 1)
Let l(n) be the first derivative of -2*n**3/3 - 19*n**2 - 68*n + 158. Solve l(v) = 0 for v.
-17, -2
Find q such that -38*q**3 + 108*q**3 - 4*q**4 - 684*q**2 + 3956 + 2*q**4 + 1164 + 896*q = 0.
-2, 5, 16
Let v be (0 - 33/9)*56/((-2016)/90). Factor 25/3 - v*o + 5/6*o**2.
5*(o - 10)*(o - 1)/6
Let r = 22277/2 - 11138. Let v(k) be the first derivative of -17 + 0*k**3 + 0*k - k**2 + r*k**4. Factor v(l).
2*l*(l - 1)*(l + 1)
Let c(g) be the third derivative of 1/24*g**4 - g + 23/60*g**6 + 0 + 1/3*g**3 - 2/5*g**5 - 17/105*g**7 - 16*g**2 + 3/112*g**8. Suppose c(u) = 0. Calculate u.
-2/9, 1
Let a(r) = -50*r + 4765. Let k(b) = -b**2 - 26*b + 2381. Let j(t) = -2*a(t) + 5*k(t). Determine f, given that j(f) = 0.
-25, 19
Let a(n) be the first derivative of -3*n**4/4 - 4197*n**3 - 17614809*n**2/2 - 8214372597*n + 2654. Find h, given that a(h) = 0.
-1399
Let y(t) be the second derivative of t**7/315 + t**6/15 + 44*t**5/75 + 14*t**4/5 + 352*t**3/45 + 64*t**2/5 - 65*t - 6. Determine b, given that y(b) = 0.
-4, -3, -2
Suppose 23*s = 14*s - 12*s. Suppose 8*h - 10 - 6 = s. Suppose 72/13*v**3 - 12/13 - 58/13*v - 2/13*v**h = 0. What is v?
-3/4, -2/9, 1
Let p(k) be the first derivative of 0*k + 114 - 20*k**2 + 5/6*k**6 + 10*k**3 - 6*k**5 + 35/4*k**4. Suppose p(d) = 0. Calculate d.
-1, 0, 1, 2, 4
Find k, given that -1/2*k**4 - 91*k + 19/2*k**2 + 4*k**3 + 120 = 0.
-5, 2, 3, 8
Let a = -5/5811 - -949135/5811. Determine p so that 25/3*p**4 + 385/3*p**3 + 575*p**2 + 1855/3*p + a = 0.
-7, -1, -2/5
Factor 0*y**2 - 8/17*y + 0 + 2/17*y**3.
2*y*(y - 2)*(y + 2)/17
Let o = 9566/15 + -1912/3. Let r be (-30)/(-25) - 2/5. Factor o*s**2 - 6/5 - r*s.
2*(s - 3)*(s + 1)/5
Let m(y) be the second derivative of y**4/3 + 3*y**3/2 + 7*y**2/2 + 283*y. Let l be m(-1). What is q in 0 - 14/3*q**3 + 2*q + 8/3*q**l = 0?
-3/7, 0, 1
Let v(p) be the second derivative of p**6/180 + p**5/48 - p**4/8 + 35*p**3/6 - 11*p. Let m(o) be the second derivative of v(o). What is y in m(y) = 0?
-2, 3/4
Let h(p) = -p**2 + 21*p - 104. Let s be h(10). Let g be (-432)/162 + 34/s. Factor -2/7*u**4 + 0 - 8/7*u - 12/7*u**g - 18/7*u**2.
-2*u*(u + 1)**2*(u + 4)/7
Let m = -2982599/5 - -596521. Find b, given that -b**3 + 1/5*b**4 - m*b**2 + 0*b + 0 = 0.
-1, 0, 6
Let t(f) be the first derivative of 0*f - 75 + 6*f**2 - 4/3*f**3. What is r in t(r) = 0?
0, 3
Let a(s) = 5*s**2 - 3*s - 17. Let h(d) = 631*d + 1 - 5 - 632*d + d**2. Let m = 11 + -7. Let o(x) = m*a(x) - 18*h(x). Find b such that o(b) = 0.
-2, -1
Let o be (-32)/(-19712)*98 + (-3)/(-33). Find s, given that 11/2*s + 23/4 - o*s**2 = 0.
-1, 23
Let o = -830 + 826. Let y be (-28)/(-21)*3*o/(-18). Factor -4/3*a**2 + 2*a + 2/9*a**3 - y.
2*(a - 4)*(a - 1)**2/9
Suppose 2*s + 3*f = 7, -10 = 41*s - 45*s - 2*f. Let n(j) be the first derivative of 0*j**s + 0*j - 2/15*j**5 + 1/3*j**4 - 2/9*j**3 - 16. Factor n(i).
-2*i**2*(i - 1)**2/3
Let b(p) = -16*p + 406. Let n be b(19). Suppose -30*a - 4*a = -n. Suppose 1/2*h**2 + 7/4*h**a + 5/4*h**4 + 0 + 0*h = 0. Calculate h.
-1, -2/5, 0
Let d(k) be the first derivative of -k**5/15 + k**4/3 + 122*k**3/9 - 42*k**2 - 1323*k - 2047. Solve d(z) = 0 for z.
-7, 9
Let g(w) = -5*w**2 + 31*w - 8. Let s be g(6). Let l be 1 + (s + 6 - (-42)/(-18)). Find f such that l*f + 0 - 4/3*f**2 = 0.
0, 2
Let o = 377362/7 - 53908. Factor 3/7 + 8/7*j - 1/7*j**4 + 0*j**3 + o*j**2.
-(j - 3)*(j + 1)**3/7
Let g(f) be the second derivative of 2*f**7/21 + 44*f**6/45 + 26*f**5/15 - 52*f**4/9 - 58*f**3/9 + 20*f**2 + 1267*f. Suppose g(m) = 0. Calculate m.
-5, -3, -1, 2/3, 1
Let l(j) be the second derivative of 4 - 1/35*j**6 + 0*j**2 + 0*j**5 + 1/98*j**7 + 5*j - 1/14*j**3 + 1/14*j**4. Determine i, given that l(i) = 0.
-1, 0, 1
Factor 125*f - 5*f**2 + 287 - 1432 + 323 + 402.
-5*(f - 21)*(f - 4)
What is j in -154/5*j**3 + 128 + 2/5*j**4 - 96*j**2 - 8/5*j = 0?
-2, 1, 80
Let d(q) = q + 64. Let v be d(-26). Suppose -5*u + 9 = -3*t + v, 5*u + 11 = -3*t. Find n such that 4/5*n - 4/5*n**t + 0 + 0*n**2 = 0.
-1, 0, 1
Suppose 0 = 91*i + 389*i - 109*i - 1113. Factor i + 8/3*l - 1/3*l**2.
-(l - 9)*(l + 1)/3
Let h = 32 + -37. Let t be (160/(-6))/(-8)*(-6)/h. Find g such that t*g**4 + g**5 - 2 - 18*g**2 + 2 - 2872*g**3 + 2869*g**3 = 0.
-3, 0, 2
Let d be 27/(-6) - -5 - 1/(-3). Let o be ((-6)/15)/((-408)/850). Find j such that -5/6*j**4 + d*j**2 + o*j**3 - 5/6*j + 0 = 0.
-1, 0, 1
Let v(b) = 105*b**3 + 210*b**2 + 39*b - 210. Let r(l) = -22*l**3 - 42*l**2 - 8*l + 42. Let w(x) = 24*r(x) + 5*v(x). Factor w(g).
-3*(g - 14)*(g - 1)*(g + 1)
Suppose 85*y = 78*y + 14. Let p be (-3)/((-4)/(4/3)). Find n, given that p + 8*n**y - 6*n + 19 - 10*n**2 = 0.
-5, 2
Let l(m) be the first derivative of m**4/18 + 71*m**3/36 - 3*m**2/2 + 7*m + 136. Let p(z) be the first derivative of l(z). Find h, given that p(h) = 0.
-18, 1/4
Let w(m) = -m**2 + 15*m - 12. Let o be w(14). Suppose o*b - 38 - 16 = 0. Solve -27*y**3 + 6*y**2 - 44*y**4 + 12*y**4 + b*y + 6 + 20*y**4 = 0.
-2, -1, -1/4, 1
Suppose 22 = 4*w - 5*k, -2*k + k = 4*w - 10. Solve 5*z**w - 15*z - 12*z + 7*z = 0.
-2, 0, 2
Let p be 9/48*4*(3 - 2). Let f = 2/2129 - -10641/4258. Determine c so that 3/4 + p*c**2 + f*c = 0.
-3, -1/3
Let t(b) = 2*b**3 - 2*b**2 - 4*b - 2. Let p be t(-1). Let q be p/5 + 110/100*4. Find l, given that -2/3 + 2*l**2 + 2/3*l - 2/3*l**3 - 4/3*l**q = 0.
-1, 1/2, 1
Let w = 100601/13 - 7737. Factor 80/13*q + w*q**3 - 2/13*q**4 - 66/13*q**2 - 32/13.
-2*(q - 4)**2*(q - 1)**2/13
Let x be (-4)/(-20)*0 - (-1215)/36. Factor x*m**3 + 25/8*m**4 + 829/8*m**2 + 25/2 + 135/2*m.
(m + 5)**2*(5*m + 2)**2/8
Let r be (160/(-4480))/((-31858)/31792 + 1). Let n = r - -10/77. Determine l, given that -16/3 - 32/3*l**2 + 5/3*l**3 + n*l = 0.
2/5, 2, 4
Let x be ((-574)/147 - -4)/(-2*(-3)/7). Let k(a) be the first derivative of 2/27*a**3 - 12 + 0*a - x*a**2. Find h, given that k(h) = 0.
0, 1
Let l(n) be the third derivative of -107/100*n**5 - 8/15*n**3 - 8/525*n**7 - 93*n**2 + 0 + 17/75*n**6 + 2*n + 17/15*n**4. Find d such that l(d) = 0.
1/4, 4
Determine t so that -16/9*t**2 + 2/3*t**4 - 1/9*t**5 + 10/9 - 2/9*t**3 + 1/3*t = 0.
-1, 1, 2, 5
Suppose -44*r = -45*r + 2. Find s such that 40*s - 297*s**2 + 5*s**4 + 35*s**3 + 677*s**r - 310*s**2 = 0.
-4, -2, -1, 0
Let u(q) be the third derivative of 163*q**2 + 0*q + 0*q**3 + 0 + 1/105*q**5 + 0*q**4 + 1/420*q**6. Find j, given that u(j) = 0.
-2, 0
Suppose -22 = -3*m + 23. Let x be -2 + 2 - (1 