24/5*j + 24/5 - 18/5*j**2 + 24/5*j**3 - 6/5*j**4 = 0.
-1, 1, 2
Factor 0*i + 0 - 2/11*i**3 + 4/11*i**4 - 2/11*i**5 + 0*i**2.
-2*i**3*(i - 1)**2/11
Suppose -245507*o + 245487*o = -40. Solve m + 1 - 1/4*m**o - 1/4*m**3 = 0.
-2, -1, 2
Let d = -43/12 - -97/12. Let j(a) be the first derivative of 6 - d*a**2 + a**3 + 6*a. Factor j(k).
3*(k - 2)*(k - 1)
Solve -10 + 2/9*z**3 - 82/9*z + 10/9*z**2 = 0.
-9, -1, 5
Let v(d) be the first derivative of -4 - 4/27*d**3 + 0*d**2 + 0*d. Factor v(q).
-4*q**2/9
Suppose 0 = y - 17*y + 38*y. Let y - 2/9*j**2 - 2/9*j**3 + 4/9*j = 0. What is j?
-2, 0, 1
Let y be 2/(-6)*(-4 - -1). Let f(n) be the first derivative of -1/6*n**4 - y + n**2 + 0*n**3 - 4/3*n. Factor f(p).
-2*(p - 1)**2*(p + 2)/3
Let -58*m + 4*m + 6*m**3 - 1 - 3*m**4 + 27*m**2 + 1 = 0. What is m?
-3, 0, 2, 3
Let d(k) = -k**3 + 10*k**2 + 4. Let n be d(10). Suppose -17 + 1 = -n*m. Factor 4*v**5 + 2*v**m - 2*v**2 - v + 2*v - 5*v**5.
-v*(v - 1)**3*(v + 1)
Solve 3/4*g**2 + 21*g + 81/4 = 0.
-27, -1
Let -3/2 + 0*z**2 - 7/4*z + 1/4*z**3 = 0. Calculate z.
-2, -1, 3
Let q(z) be the first derivative of -5*z**6/6 + 3*z**5 - 5*z**4/4 - 5*z**3 + 5*z**2 - 137. Determine s so that q(s) = 0.
-1, 0, 1, 2
Let c be 1224/(-2754)*(-3)/2*3. Find x, given that 216/7*x**3 - 291/7*x**c + 108/7*x - 48/7*x**4 - 12/7 = 0.
1/4, 2
Suppose -4*m = 5*q + 16, 0 = 3*q + 3*m + m + 16. Factor 0*c**3 - 5*c**3 - 40*c**2 + q*c**3 - 94*c + 14*c.
-5*c*(c + 4)**2
Let p(y) be the first derivative of -7*y**5/30 - y**4/3 + 41*y**3/18 + y**2/2 + 196. Determine w, given that p(w) = 0.
-3, -1/7, 0, 2
Factor 0 + 2/5*r - 2/15*r**3 + 4/15*r**2.
-2*r*(r - 3)*(r + 1)/15
Let h(x) be the third derivative of x**8/1680 - x**7/315 - x**6/180 + x**5/15 + x**4/4 + 15*x**2. Let m(o) be the second derivative of h(o). Factor m(b).
4*(b - 2)*(b - 1)*(b + 1)
Let y(g) = 2*g**2 + 3*g. Let d(j) = 16*j**2 - 46*j + 256. Let h(a) = -d(a) + 6*y(a). Solve h(n) = 0 for n.
8
Let s(l) = -2*l + 11. Let m be s(6). Let x(q) = -4*q + 1. Let k be x(m). Factor 22*r - 6*r + k*r**3 - 6*r + 15*r**2.
5*r*(r + 1)*(r + 2)
Solve 14/3*q + 2/3*q**3 + 16/3*q**2 + 0 = 0.
-7, -1, 0
Suppose 0 = -92*m + 84*m + 48. Let c(g) be the second derivative of -1/20*g**5 - 6*g + 0*g**2 - 1/6*g**4 + 0 + 1/30*g**m + 0*g**3. Suppose c(o) = 0. What is o?
-1, 0, 2
Let t(j) be the first derivative of j**6/3 - 92*j**5/5 - 48*j**4 - 4*j**3/3 + 95*j**2 + 96*j + 145. Factor t(s).
2*(s - 48)*(s - 1)*(s + 1)**3
Suppose -81/5*f**3 + 242/5 - 328/5*f**2 + 891/5*f - 4/5*f**4 = 0. Calculate f.
-11, -1/4, 2
Let p = 18751 - 18748. Solve 4/9 - 10/9*n**p - 10/9*n**2 + 2/3*n**4 + 10/9*n = 0 for n.
-1, -1/3, 1, 2
Suppose 29*z - 7*z - 66 = 0. Let l(i) be the first derivative of 6 - 1/5*i**5 - 1/6*i**6 + 1/3*i**z + 0*i + 0*i**2 + 1/4*i**4. Factor l(r).
-r**2*(r - 1)*(r + 1)**2
Let u(t) be the second derivative of -t**6/10 - 27*t**5/20 + 5*t**4/2 - 178*t. Factor u(c).
-3*c**2*(c - 1)*(c + 10)
Let i(w) = 2*w + 74. Let f be i(-16). Let m be (4/f)/((-2)/(-24)). Find g, given that 24/7*g**4 + 2*g**3 - 62/7*g**2 + 16/7*g + m = 0.
-2, -1/4, 2/3, 1
Suppose 42 + 83/2*q - 1/2*q**2 = 0. What is q?
-1, 84
Factor 184*h + 450 + 993 - 493 + 4*h**2 + 1166.
4*(h + 23)**2
Let t(g) be the first derivative of g**7/5460 + g**6/260 + 9*g**5/260 + 9*g**4/52 + 13*g**3/3 + 18. Let w(k) be the third derivative of t(k). Factor w(m).
2*(m + 3)**3/13
Let n be 770/196 - (-5 - 414/(-84)). Solve -2/11*v**n + 6/11*v + 10/11*v**2 - 8/11 - 6/11*v**3 = 0.
-4, -1, 1
Suppose -2*j - 3 = 3. Let d be (1 - 3 - 5*-1) + j. Suppose d*b + 0*b**2 + 0 + 1/5*b**3 = 0. What is b?
0
Factor -3*c**2 + 1167 - 48*c - 464 - 386 - 401.
-3*(c + 2)*(c + 14)
Let v = -506 + 4562/9. Let m(h) be the first derivative of 5/3*h**4 - 74/27*h**3 - 2/5*h**5 + 8 - v*h + 20/9*h**2. Factor m(l).
-2*(l - 1)**2*(3*l - 2)**2/9
Let g(s) be the first derivative of s**6/600 - s**5/100 - 3*s**4/40 - s**3/6 + 11*s**2/2 - 1. Let m(j) be the second derivative of g(j). Factor m(u).
(u - 5)*(u + 1)**2/5
Let l(i) = i**3 - 14*i**2 + 14*i - 9. Let j be l(13). Let n = 22/3 - 104/15. Solve -2/5*w**2 + 0 + n*w**j - 4/5*w**5 + 4/5*w**3 + 0*w = 0.
-1, 0, 1/2, 1
Factor 22/15*q**3 - 32/15*q**4 + 14/15*q**5 + 0*q - 4/15*q**2 + 0.
2*q**2*(q - 1)**2*(7*q - 2)/15
Let f = 18797/58700 + -6/587. Let i = -3/50 + f. Find t such that 1/4 - 1/2*t + i*t**2 = 0.
1
Let w(b) be the second derivative of b**9/10080 + b**8/2240 + b**7/1680 - 2*b**4/3 + 14*b. Let q(n) be the third derivative of w(n). Let q(s) = 0. Calculate s.
-1, 0
Let z be (7 - 5) + (-12)/(-216)*-33. What is y in 5/3*y + z*y**2 + 0 = 0?
-10, 0
Let f be (-9)/2*8/(-18). Let b(u) be the first derivative of -3/4*u - 1 - 5/12*u**3 - 1/16*u**4 - 7/8*u**f. Find w, given that b(w) = 0.
-3, -1
Let v = -363 - -365. Let i(f) be the first derivative of -1/6*f**v + 0*f**4 + 1/18*f**6 - 2/9*f**3 - 2 + 2/15*f**5 + 0*f. Factor i(q).
q*(q - 1)*(q + 1)**3/3
Suppose 6*r - 4 = -10. Let z be (27/(-18))/(r + (-1)/(-2)). Factor -3 - z*d - 3/4*d**2.
-3*(d + 2)**2/4
Suppose -2/3*v**2 - 392/3 - 56/3*v = 0. Calculate v.
-14
Let z = -22 - -52. Solve -3*j**2 - 9*j**2 - z - 8*j**2 - 125*j = 0 for j.
-6, -1/4
Let x(s) be the first derivative of 3*s**4/4 - 54*s**3 - 3*s**2/2 + 162*s - 125. Determine f so that x(f) = 0.
-1, 1, 54
Let h be 16/6*(1026/8)/3. Let g = h + -112. What is p in -g*p**2 + 0*p + 4/3*p**3 + 2/3 = 0?
-1/2, 1
Let 22*v**2 + 14*v**2 + 1663*v**3 - 1659*v**3 + 48 + 80*v = 0. Calculate v.
-6, -2, -1
Let x(v) be the first derivative of -7/18*v**3 + 5/4*v**2 + 1/24*v**4 + 1 - 3/2*v. Solve x(s) = 0 for s.
1, 3
Let d(k) = -192*k**3 - 424*k**2 - 68*k + 28. Let c(h) = 1. Let o(b) = 4*c(b) - d(b). Find p, given that o(p) = 0.
-2, -3/8, 1/6
Let m(a) be the first derivative of a**3/12 + 5*a**2/8 + 3*a/2 - 146. Solve m(o) = 0.
-3, -2
Let m(t) = -2*t**3 - 3*t - 11. Let a be m(-2). Find j, given that 0*j - a*j**4 - 31/3*j**2 + 7/3*j**5 + 4/3 + 53/3*j**3 = 0.
-2/7, 1, 2
Let c be (-246)/(-21) - (1 - (-27)/(-21)). Factor 20*s**2 + 9 + c*s**4 + 4*s - 9 + 22*s**3 + 6*s**3.
4*s*(s + 1)**2*(3*s + 1)
Factor 256*c**4 - 4*c**2 + 6*c**2 - 58*c**3 - 258*c**4 + 58*c.
-2*c*(c - 1)*(c + 1)*(c + 29)
Let w(r) be the second derivative of r**6/180 + r**5/90 - r**4/36 - r**3/9 - 17*r**2/2 - 27*r. Let x(g) be the first derivative of w(g). Factor x(l).
2*(l - 1)*(l + 1)**2/3
Let d(h) = -25*h + 85. Let b(p) = -p**2 + 13*p. Let c(n) = 5*b(n) - d(n). Determine o so that c(o) = 0.
1, 17
Let c(h) be the first derivative of -2*h**3/9 - 7*h**2/9 - 8*h/9 - 856. Let c(d) = 0. What is d?
-4/3, -1
Factor 0*o**3 - 40*o - 4*o**4 + 6*o**2 + 0*o**4 + 16*o**3 + 22*o**2.
-4*o*(o - 5)*(o - 1)*(o + 2)
Find m such that 92*m + 10*m**3 + 24 + 20 - 6*m**3 + 52*m**2 = 0.
-11, -1
Let z(d) be the second derivative of d**8/4480 + d**7/280 + d**6/40 + d**5/10 - d**4 + 3*d. Let u(k) be the third derivative of z(k). Factor u(a).
3*(a + 2)**3/2
Let n be (1 + -2 + 2)/(56/280). Find i such that 24/5*i + 16/5 + 2*i**n + 24/5*i**4 - 22/5*i**3 - 52/5*i**2 = 0.
-2, -2/5, 1
Let j(g) be the first derivative of g**6/180 + 2*g**5/15 + 7*g**4/12 + 12*g**3 + 8. Let t(r) be the third derivative of j(r). Let t(m) = 0. What is m?
-7, -1
Suppose -10*t + 12*t + 2 = -4*d, 2*t - 2*d = 16. Let k be 2 + 3 + t + -7. What is v in 0 + 0*v + 2/5*v**5 + 4/5*v**k + 6/5*v**4 + 0*v**2 = 0?
-2, -1, 0
Let p(k) be the third derivative of -k**7/140 + 17*k**6/80 - k**2 - 33*k. Determine v, given that p(v) = 0.
0, 17
Let f(r) = 10*r**2 - 18*r + 3. Let t(x) = 37*x**2 - 72*x + 11. Let k(s) = -22*f(s) + 6*t(s). Factor k(l).
2*l*(l - 18)
Let d = 214 - 214. Let s(r) be the third derivative of d*r + 1/24*r**4 + r**2 + 0 + 1/360*r**6 + 1/60*r**5 + 1/18*r**3. Let s(z) = 0. Calculate z.
-1
Let r(k) = 2*k - 22. Let q be r(11). Let j(y) be the second derivative of 5*y - 1/66*y**4 + 0*y**2 + 0 + q*y**3. Find p, given that j(p) = 0.
0
Factor -6724/5 - 1/5*w**2 + 164/5*w.
-(w - 82)**2/5
Let p be 77/210*28/77. Let w(v) be the second derivative of p*v**3 + 0 + 0*v**2 - 7/15*v**4 - 5*v + 49/100*v**5. Determine k, given that w(k) = 0.
0, 2/7
Factor -99/4*i**3 - 3/4*i**5 + 0 - 12*i - 15/2*i**4 - 30*i**2.
-3*i*(i + 1)**2*(i + 4)**2/4
Let j(r) be the third derivative of -r**10/264600 + r**8/35280 + 11*r**5/60 - 12*r**2. Let i(w) be the third derivative of j(w). W