ven that -4739*g**2 + 9 + 70*g + 4744*g**2 - 21 - 25*g - 38 = 0.
-10, 1
Let 768 + 4/3*z**2 - 64*z = 0. Calculate z.
24
Suppose 3*m - 4*f - 26 = 0, -m + 3*m = 3*f + 16. Suppose m = 9*i - 13. Determine q so that 1 - 1/2*q - 5/2*q**i - 4*q**2 = 0.
-1, 2/5
Let a(b) be the third derivative of -b**8/60480 - b**7/15120 - b**5/60 - 2*b**2. Let f(p) be the third derivative of a(p). Factor f(l).
-l*(l + 1)/3
Factor 9/2 + 41/4*a**2 + 13/4*a**3 + 1/4*a**4 + 47/4*a.
(a + 1)**2*(a + 2)*(a + 9)/4
Find p such that -5*p**2 - 1893*p**3 + 1888*p**3 - 80*p**2 = 0.
-17, 0
Let g(k) be the third derivative of -41*k**2 + 1/30*k**5 + 0*k**3 + 0 + 0*k + 1/120*k**6 + 1/24*k**4. Factor g(h).
h*(h + 1)**2
Suppose c = -5, 0*s = -s + 4*c - 18. Let j = 38 + s. Determine b, given that 0 - 1/2*b**3 - 1/4*b**4 + j*b - 1/4*b**2 = 0.
-1, 0
Let j(x) = x**2 - 12*x + 11. Let g be j(11). Let p(a) = -a - 4. Let y be p(-6). Factor -4*k - 3 + 6 + 1 + g*k + k**y.
(k - 2)**2
Let o(p) be the third derivative of p**8/4032 + 17*p**5/30 - 24*p**2. Let h(j) be the third derivative of o(j). Factor h(s).
5*s**2
Let h(k) = 17*k + 90. Let z be h(-5). Factor -8/11*p - 4/11*p**4 - 2/11*p**z + 8/11*p**2 + 0 + 6/11*p**3.
-2*p*(p - 1)**2*(p + 2)**2/11
Let r = 54 + -33. Let u = 21 - r. Solve u + 0*q + 2/11*q**4 + 2/11*q**3 + 0*q**2 = 0 for q.
-1, 0
Let q(w) be the first derivative of 1/14*w**4 + 0*w + 11 - 2/7*w**3 + 2/7*w**2. Factor q(v).
2*v*(v - 2)*(v - 1)/7
Let l be 5 - 3 - 0/(-2). Factor 3*a**2 - 7*a**2 + 3*a + 2*a**2 - a**l.
-3*a*(a - 1)
Solve -11/3*i - 8/9*i**2 + 0 + 1/9*i**3 = 0 for i.
-3, 0, 11
Find h such that 1/3*h**4 + 13/3*h**3 - 98/3 - 77/3*h + 11*h**2 = 0.
-7, -1, 2
Let t(n) = n**2 - 75*n - 5. Let z(w) = -w**2 - w + 1. Let o(s) = -t(s) - 5*z(s). Solve o(f) = 0 for f.
-20, 0
Let 54/5*j**3 + 584/15*j + 64/15 + 456/5*j**2 = 0. What is j?
-8, -2/9
Let u(h) be the third derivative of h**5/240 + 49*h**4/48 + 2401*h**3/24 - 528*h**2. Factor u(k).
(k + 49)**2/4
Let w(m) be the second derivative of -m**3 + 1/7*m**7 + 1/2*m**6 + 0*m**5 + 0*m**2 + 2*m + 3 - 5/4*m**4. Find o, given that w(o) = 0.
-2, -1, -1/2, 0, 1
Suppose c = 2*o + 20, -134*o + 131*o + 24 = 3*c. What is q in c*q**3 + 52/7*q**2 - 8/7 + 36/7*q**4 - 4/7*q = 0?
-1, -2/3, 1/3
Let t = -14 - -17. Suppose -3 = h + 4*o - 17, 0 = 4*h + t*o - 30. Let -h + 15*b**3 - 6*b**3 + 15*b - 12*b**2 - 6*b**3 = 0. Calculate b.
1, 2
Let l be ((-2)/(4/(-3)))/((-9)/(-12)). Suppose 11*d = 6*d - a + 22, 3*d + l*a - 9 = 0. Let 0*b - 5/4*b**d + 1/4*b**2 - 11/8*b**3 + 19/8*b**4 + 0 = 0. What is b?
0, 2/5, 1/2, 1
Let l(t) = t**5 + t**2 + t. Let n(p) = -20*p**5 + 43*p + 9*p**2 + 30*p**4 + 27*p - 85*p - 37*p**3. Let u(z) = -22*l(z) - 2*n(z). Factor u(q).
2*q*(q - 1)**2*(3*q - 2)**2
Let b(i) be the first derivative of -i**6/33 + 2*i**5/55 + 15*i**4/22 + 46*i**3/33 + 10*i**2/11 - 73. Determine k so that b(k) = 0.
-2, -1, 0, 5
Suppose 5*b - 2*b = 288. Solve 5*f**2 - 9*f**4 - 6*f - 15*f**5 - 75*f**3 + 4*f**2 + b*f**3 = 0.
-1, 0, 2/5, 1
Suppose -5*k = -k - 8. Suppose n - 15 = -6*i + k*i, 3*i - 5*n = 17. Let -t**2 + 5*t**i + 0*t**3 - t**2 + t**3 - 4*t**4 = 0. What is t?
-2, 0, 1
Let u = 6 - 4. Let n be 36/21 + -2 - 144/(-56). Factor -n*h - 2/7*h**3 - 10/7*h**u - 8/7.
-2*(h + 1)*(h + 2)**2/7
Let a = -534 + 538. Let i(k) be the first derivative of -6 + 0*k + 3/8*k**a - 3/2*k**2 + 1/2*k**3. Factor i(g).
3*g*(g - 1)*(g + 2)/2
Let b(s) = 6*s**3 + 54*s**2 - 31*s - 39. Let j(a) = -6*a**3 - 56*a**2 + 30*a + 40. Let c(l) = 4*b(l) + 5*j(l). Let c(n) = 0. What is n?
-11, -2/3, 1
Factor 8/3*k**2 + 16*k - 12 - 16/3*k**3 - 4/3*k**4.
-4*(k - 1)**2*(k + 3)**2/3
Let x(u) = -161*u - 16. Let w be x(-4). What is l in -11*l + 648*l**2 - 5*l**3 - 9*l - w*l**2 = 0?
0, 2
Let f(p) be the second derivative of 0 + 1/24*p**4 - 7/24*p**3 + 27*p + 1/2*p**2 + 1/80*p**5. Suppose f(k) = 0. What is k?
-4, 1
What is l in -3*l**4 - 39/7*l - 66/7*l**2 - 54/7*l**3 - 9/7 - 3/7*l**5 = 0?
-3, -1
Let i be (-3)/(-18) - (-345)/90. Suppose 5*h - 5*p + 5 = 0, i*p - 16 = h - 3*h. Factor -1/4*n**h + 0 - 1/4*n.
-n*(n + 1)/4
Let k(j) be the first derivative of -1/11*j**4 - 8/11*j + 5 + 4/11*j**2 + 2/11*j**3 - 2/55*j**5. Find v, given that k(v) = 0.
-2, 1
Let f be (-55215)/(-300) + (-2)/8. Let j = f - 183. Find h, given that 0 + 4/5*h**2 - j*h - 1/5*h**3 = 0.
0, 2
Let q(a) be the third derivative of -a**7/252 + a**5/12 + 5*a**4/18 + 5*a**3/12 - 127*a**2. Find f such that q(f) = 0.
-1, 3
Let q(l) be the second derivative of 0*l**4 + 7*l + 2/21*l**7 - 2/5*l**5 + 0*l**2 + 0 + 2/3*l**3 + 0*l**6. Solve q(r) = 0 for r.
-1, 0, 1
Let q(n) be the third derivative of -n**6/90 + n**4/6 + 4*n**3/9 - 63*n**2 + 3*n. Factor q(s).
-4*(s - 2)*(s + 1)**2/3
Let i = -25 - -26. Let f be (-68)/68*(-4 + i). Determine a, given that 0*a - 3/2*a**f + 0 + 3/2*a**2 = 0.
0, 1
Let l(s) be the first derivative of s**4/90 + s**3/9 + 4*s**2/15 - 17*s + 30. Let z(h) be the first derivative of l(h). Determine i so that z(i) = 0.
-4, -1
Let x be ((-45)/(-75))/((-1)/(-5)). Let d(g) be the third derivative of 0*g**x + 1/150*g**5 + 9*g**2 + 0*g + 0*g**4 + 1/1050*g**7 + 1/200*g**6 + 0. Factor d(t).
t**2*(t + 1)*(t + 2)/5
Let t(a) be the first derivative of a**4/12 + 8*a**3/9 - a**2/6 - 8*a/3 + 69. Factor t(r).
(r - 1)*(r + 1)*(r + 8)/3
Let x be (-27)/81*(-5 + 5). What is g in 2/11*g**3 + 0*g + x - 2/11*g**5 - 2/11*g**4 + 2/11*g**2 = 0?
-1, 0, 1
Let r(w) = -358 - 121 - 512*w - 3*w**3 + 11*w**3 - 7 - 188*w**2. Let u(l) = l**3 - 21*l**2 - 57*l - 54. Let i(x) = -6*r(x) + 52*u(x). Factor i(j).
4*(j + 3)**3
Suppose 34 = -5*g + 5*u + 44, 2*u = g - 2. Determine i, given that -2 + 2/11*i**g - 20/11*i = 0.
-1, 11
Find p such that 75/2*p**4 - 1515/2*p**2 - 345/2*p**3 - 840*p - 3/2*p**5 - 294 = 0.
-1, 14
Solve 29*o**2 + 106*o**2 - 2*o**3 + 975*o + 346 + 7*o**3 + 499 = 0.
-13, -1
Let a(c) be the third derivative of c**5/12 + 25*c**4/12 - 631*c**2. Factor a(m).
5*m*(m + 10)
Let q(u) be the second derivative of -u**6/1080 - u**5/90 - u**4/18 - 7*u**3/3 + 20*u. Let n(r) be the second derivative of q(r). Factor n(d).
-(d + 2)**2/3
Let 20/7*t**3 - 2*t**4 + 0*t + 0 - 2/7*t**5 + 32/7*t**2 = 0. Calculate t.
-8, -1, 0, 2
Let n(v) be the second derivative of -21*v - 36*v**2 - 4/15*v**6 - 85/6*v**4 + 56*v**3 + 0 - 43/10*v**5. Let n(f) = 0. What is f?
-6, 1/4, 1
Let p(s) = 36*s**3 + 36*s**2 - 124*s + 136. Let y(b) = 4*b**3 + 4*b**2 - 14*b + 15. Let l(v) = -3*p(v) + 28*y(v). What is n in l(n) = 0?
-3, 1
Suppose 35/2*h - 1225/4 - 1/4*h**2 = 0. What is h?
35
Let q be (4 - 4)/(-4)*(-1)/2. Let p(r) be the second derivative of -4*r - 1/35*r**6 + q + 0*r**3 + 1/42*r**4 + 0*r**2 + 1/35*r**5. Let p(b) = 0. Calculate b.
-1/3, 0, 1
Suppose 3*z = 1 + 5. Factor 9*w**2 + 4*w - w**z + 7*w**3 + 10*w**2 + 7*w**3.
2*w*(w + 1)*(7*w + 2)
Let s(a) = -a**2 + 5*a + 16. Let t be s(7). Let z be -2 - (0 + 1)/(2/(-4)). Solve 0*h**3 + 1/4*h - 1/2*h**4 - 1/4*h**5 + 1/2*h**t + z = 0 for h.
-1, 0, 1
Let h(g) be the third derivative of -g**6/40 - g**5/20 + g**4/8 + g**3/2 - 88*g**2. Solve h(y) = 0.
-1, 1
Let y be 64/12 - 4288/1407. Solve 16/7*d - 4/7*d**3 - 4/7*d**2 + y = 0.
-2, -1, 2
Let 123*t**2 - 198*t**3 - 2*t**5 - 1200*t**2 + 493*t**2 - 800*t - 32*t**4 - 384 = 0. What is t?
-4, -3, -1
Let p(i) be the third derivative of -10*i**2 + 0*i**4 - 5/1008*i**8 + 0*i - 2/63*i**7 - 1/18*i**5 + 0 + 0*i**3 - 5/72*i**6. Factor p(m).
-5*m**2*(m + 1)**2*(m + 2)/3
Let z(u) be the third derivative of -u**8/588 + 6*u**7/245 - 16*u**6/105 + 8*u**5/15 - 8*u**4/7 + 32*u**3/21 - 35*u**2 + u. Factor z(g).
-4*(g - 2)**4*(g - 1)/7
Let s(o) = -2*o**3 - 62*o**2 - 192*o - 170. Let u(t) = t**3 - t**2 + 3. Let l(v) = -s(v) + 2*u(v). Find m such that l(m) = 0.
-11, -2
Let d(y) be the first derivative of -5*y**6/6 - 83*y**5/20 - 35*y**4/8 - y**3/12 + 3*y**2/4 - 228. Find v, given that d(v) = 0.
-3, -1, -2/5, 0, 1/4
Determine m, given that -38/5*m + 2/5*m**2 - 8 = 0.
-1, 20
Suppose -78*d - 9*d**2 + 15*d - 125*d - 7*d**2 - 132 = 0. What is d?
-11, -3/4
Let q be (-18)/(-44) + (-308)/(-616). What is m in 8/11*m + q*m**2 - 2/11 = 0?
-1, 1/5
Let p(r) be the second derivative of -r**6/100 - r**5/15 - 3*r**4/20 - 2*r**3/15 - 7*r**2 - 6*r. Let o(b) be the first derivative of p(b). Factor o(x).
-2*(x + 1)*(x + 2)*(3*x + 1)/5
Factor 0 + 8/5*j - 2/5*j