 - 67*q**3 = 0.
-1, 397
Suppose -34 = -2*w + 5*u, 4*w - 8*u = -10*u + 20. Suppose w + 3 - 10*f**2 + 56*f + 20*f**3 + 158*f**2 - 10 = 0. What is f?
-7, -2/5, 0
Factor 4280761/2 + 2069*c + 1/2*c**2.
(c + 2069)**2/2
Let j = 12 + -7. Suppose 6 = 3*c + j*b, c + 2*b - 2 = 4*b. Determine l, given that -4*l - 2*l**c - 1019 + 1019 = 0.
-2, 0
Let w(d) be the first derivative of d**5/60 - d**4/4 - 7*d**3/6 + 3*d**2 - 2*d - 36. Let z(i) be the second derivative of w(i). Suppose z(v) = 0. What is v?
-1, 7
Let o be -1*3/(-2)*24/18. Let i(a) be the first derivative of 80*a + 5/3*a**3 - 20*a**o + 13. Factor i(n).
5*(n - 4)**2
Let j = 7/557 + 4999/1114. Let n(a) be the first derivative of -1/4*a**3 + 13 - 27*a - j*a**2. Factor n(m).
-3*(m + 6)**2/4
Let d(j) = -2*j**3 + 6*j**2 + 1339*j - 4015. Let o be d(3). What is i in 17/6 - 3*i + 1/6*i**o = 0?
1, 17
Factor 990/7*d + 0 + 1/7*d**2.
d*(d + 990)/7
Let x(h) = h**2 + 26*h + 51. Let q be x(-24). Suppose 24 = -q*g + 45. Suppose g*p**4 - 2*p**4 + 20*p**2 + 23*p**3 - 70*p**3 + 27*p**3 = 0. Calculate p.
0, 2
Let h = 85626722/10428891 - 2/548889. Factor -2/19*f**4 - 3042/19*f**2 - h*f**3 + 0*f + 0.
-2*f**2*(f + 39)**2/19
Suppose 4*n - h = 128 - 45, n = -5*h + 5. Suppose -4*s + n = 3*j, 6 = -2*s + 3*j - 2. Factor -s*v**2 + 43*v + 7 - 35*v + 3.
-2*(v - 5)*(v + 1)
Factor -12*k**3 - 148/5*k + 4/5*k**4 + 48/5 + 156/5*k**2.
4*(k - 12)*(k - 1)**3/5
Let l(z) be the first derivative of 4*z - 11 - 6*z**2 + 4/3*z**3. Let k(n) = -n - 1. Let a(s) = -4*k(s) - l(s). Determine h so that a(h) = 0.
0, 4
Let w(m) = 2*m**3 - 98*m**2 - 35*m + 1718. Let y be w(49). Factor -10 - 24*b - 2/5*b**4 - 92/5*b**2 - 24/5*b**y.
-2*(b + 1)**2*(b + 5)**2/5
Suppose 1826*a - 1724*a - 204 = 0. Suppose -2/5*g**4 + 2/5*g**3 + 4/5*g**a + 0 + 0*g = 0. Calculate g.
-1, 0, 2
Let t(b) = 11*b + 0*b**2 + 550*b**3 - 8*b**2 + 1 - 551*b**3. Let m(q) = -1 + 3*q - 4*q**3 - 4*q + 3*q**3. Let z(l) = m(l) + t(l). Determine n so that z(n) = 0.
-5, 0, 1
Let r(s) be the third derivative of 19*s**5/120 + s**4/3 - s**3/4 - s**2 - 2*s. Factor r(j).
(j + 1)*(19*j - 3)/2
Let d(q) = -2*q**2 + 18*q - 28. Let k(b) = 2*b**2 - 19*b + 30. Let a be -6 - (5 + 0 + -5). Let f(c) = a*k(c) - 7*d(c). Factor f(h).
2*(h - 4)*(h - 2)
Let d(g) = 16*g**2 + 18*g + 11. Let t(h) = 3*h**2 - 73 + h + 2*h + 75 + h. Let q(r) = 2*d(r) - 11*t(r). Suppose q(a) = 0. Calculate a.
-8, 0
Let a(h) be the third derivative of h**5/300 - 163*h**4/120 - 82*h**3/15 + 224*h**2 + h. Let a(t) = 0. What is t?
-1, 164
Let y(b) be the first derivative of -b**4/14 - 13*b**3/7 - 36*b**2/7 + 22*b - 173. Let u(w) be the first derivative of y(w). Factor u(l).
-6*(l + 1)*(l + 12)/7
Let m(c) be the second derivative of 1/3*c**4 + 6*c + 8*c**3 + 0 + 72*c**2. Factor m(u).
4*(u + 6)**2
Let r(y) be the first derivative of 2*y**3/3 + 268*y**2 - 538*y + 1130. Solve r(o) = 0.
-269, 1
Let a(w) = 16 + 4*w**2 + 2*w**2 - 5*w - 7*w**2. Let l be a(2). Determine v so that 12 + 4*v**2 - 10*v**l + 4*v**2 - v + v**2 = 0.
-4, 3
Let c(j) be the second derivative of -j**4/30 - 16*j**3/3 - 156*j**2/5 + 600*j. Factor c(h).
-2*(h + 2)*(h + 78)/5
Let j(r) be the first derivative of -625*r**6/6 - 355*r**5 + 8421*r**4/4 + 8063*r**3/3 - 724*r**2 + 60*r - 7528. Determine c so that j(c) = 0.
-5, -1, 2/25, 3
Let n(p) be the third derivative of -p**8/560 + 3*p**7/140 - p**6/15 - 33*p**3/2 - 5*p**2 - 7. Let r(d) be the first derivative of n(d). Factor r(m).
-3*m**2*(m - 4)*(m - 2)
Let d be (3 - (-6 - -3))/(7/308). Let o be (d/32 - 7) + 0. Factor -1/2*w + w**3 - o*w**2 + 0 + 3/4*w**4.
w*(w - 1)*(w + 2)*(3*w + 1)/4
Let s(y) be the second derivative of -1/6*y**2 - 1/36*y**4 + 34*y - 1/9*y**3 + 0. Factor s(u).
-(u + 1)**2/3
Let p be ((-17372)/903 - -21) + (-3)/7. Let o(u) be the first derivative of -9/2*u**2 - p*u**3 - 2*u + 32. Factor o(g).
-(g + 2)*(4*g + 1)
Suppose -240 + 231 = 3*r. Let s be r/5*378/(-81). What is h in s*h**3 - 32/5*h**2 + 0 + 8/5*h = 0?
0, 2/7, 2
Let t(a) be the third derivative of -a**8/112 + 2*a**7/35 + a**6/40 - a**5/5 + 2*a**2 - 2*a + 61. Solve t(i) = 0.
-1, 0, 1, 4
Let b be 17697/(-50)*130/(-1248). Let f = -19/160 + b. Find g such that f*g + 21/4*g**2 + 1/4*g**3 + 343/4 = 0.
-7
Suppose 92*w - 147*w - w**2 + 4*w**2 + 91*w - 7*w**2 = 0. What is w?
0, 9
Factor 62869*h**3 - 59*h**2 + 3*h**2 - 19*h - 100 - 135*h - 62871*h**3.
-2*(h + 1)*(h + 2)*(h + 25)
Factor -2914*i**3 + 1459*i**3 + 171*i**2 + 1458*i**3.
3*i**2*(i + 57)
Let x be 4 - ((-7)/(21/18) + 761). Let w = x + 753. Factor -2/7*g**w - 16/7 - 18/7*g.
-2*(g + 1)*(g + 8)/7
Factor 201/2 + 1/4*q**2 + 73/4*q.
(q + 6)*(q + 67)/4
Factor 3/7*m**3 - 1035/7*m**2 + 119025/7*m - 4562625/7.
3*(m - 115)**3/7
What is k in 26/3*k**2 + 1/6*k**3 - 163/6*k + 55/3 = 0?
-55, 1, 2
Solve 501*t - 5*t**2 - 9*t**2 - 481*t - 3*t**2 + 2*t**2 = 0.
0, 4/3
Solve -68*o**3 + 0*o**4 - 77 - 83 + 21*o**3 + 104*o + 72*o**2 + 33*o**3 - 2*o**4 = 0 for o.
-10, -2, 1, 4
Let q = -2/64073 - -128164/576657. Factor 0 - q*t**2 + 10/9*t.
-2*t*(t - 5)/9
Let q(d) = -6*d**2 - 635*d - 1166. Let t(i) = -5*i**2 - 624*i - 1164. Let y(p) = -4*q(p) + 5*t(p). Let y(z) = 0. Calculate z.
-578, -2
Let a = 1597/5 - 1591/5. Factor -2/5*g**2 - a - 2/5*g**3 + 2*g.
-2*(g - 1)**2*(g + 3)/5
Let p = 107 + -110. Let u = p - -9. Find n, given that -3*n**2 - u + 4 - 5 - 12*n - 2 = 0.
-3, -1
Let b(x) be the third derivative of 1 - 1/24*x**5 + 1/420*x**7 - 1/80*x**6 + 1/3*x**3 + 1/16*x**4 + 0*x - 9*x**2. Solve b(p) = 0 for p.
-1, 1, 4
Let a(h) be the second derivative of -h**7/70 + 49*h**6/50 + 867*h**5/50 + 39*h**4 - 2124*h**3/5 - 3421*h. Suppose a(u) = 0. What is u?
-6, 0, 2, 59
Solve -82/5*o**2 - 384/5*o - 56 + 2/5*o**4 + 24/5*o**3 = 0 for o.
-14, -2, -1, 5
Let g be (-840)/(-540) + 8/(-9) + 16/(-36). Factor -172/9*h - g*h**2 - 3698/9.
-2*(h + 43)**2/9
Let m(w) = -20*w**3 - 859*w**2 + 1663*w + 2528. Let t(x) = -9*x**3 - 429*x**2 + 831*x + 1263. Let a(p) = -6*m(p) + 13*t(p). Factor a(k).
3*(k - 139)*(k - 3)*(k + 1)
Factor -3*b**2 + 33*b**2 - 19400*b + 5*b**3 + 19200*b.
5*b*(b - 4)*(b + 10)
Let y(v) = -v**3 + v**2 + 164*v - 737. Let u be y(10). Determine g, given that -30/13 - 18/13*g**2 + 46/13*g + 2/13*g**u = 0.
1, 3, 5
Let a(h) be the third derivative of 0*h**3 + 1 - 5/54*h**4 - 1/540*h**6 - 11/270*h**5 + 44*h**2 + 0*h. Factor a(g).
-2*g*(g + 1)*(g + 10)/9
Let u(a) be the first derivative of 5*a**3/3 - 720*a**2 - 1445*a - 1789. Determine c so that u(c) = 0.
-1, 289
Suppose -7 - 13 = -5*h. Let u(s) = -10 + 4*s**2 + 2*s + h*s**3 + 10 - 5*s**3. Let q(g) = 4*g**2 + 2*g. Let l(i) = 3*q(i) - 2*u(i). Find n such that l(n) = 0.
-1, 0
Find k, given that 3099*k**3 + 2*k**5 - 14478*k**2 - 327*k**3 - 21296*k - 130*k**4 - 3914*k**2 = 0.
-1, 0, 22
Let l(s) be the second derivative of s**4/108 + 2428*s**3/27 + 2947592*s**2/9 - 6417*s. Factor l(c).
(c + 2428)**2/9
Let h(f) be the third derivative of -f**5/240 + 169*f**4/32 - 253*f**3/12 + 7663*f**2. Let h(i) = 0. What is i?
1, 506
Let f be ((-888)/(-555))/(36/10). Let r(y) be the second derivative of 0 - 2*y - 4/27*y**3 - 1/54*y**4 - f*y**2. Find u such that r(u) = 0.
-2
Let n = -43556 - -43556. Let p(h) = h - 4. Let t be p(7). Factor 0 + 8/5*a**2 + 2/5*a**4 - 8/5*a**t + n*a.
2*a**2*(a - 2)**2/5
Suppose -3*q = z + 4, -q + 0*q = -4*z + 23. Let l be 21/(-35) + 3/5. Find f such that 17 - 4 - 3 + z*f**2 - 15*f + l = 0.
1, 2
Let w be (-26840)/(-600) - 45 - 6/(-10). Let b(j) be the second derivative of 11*j + 4*j**3 + 0 + w*j**4 + 16*j**2. Factor b(h).
4*(h + 2)*(h + 4)
Suppose 6*h + 112*h - 334 = -49*h. Determine r so that 9/2 + 3/2*r**h + 6*r = 0.
-3, -1
Let n(v) be the first derivative of -v**3/9 - 43*v**2/3 - 208*v - 4821. Solve n(s) = 0.
-78, -8
Let l(t) = -36*t**5 + 13*t**4 - 43*t**3 + 19*t**2 + 44*t - 37. Let r(g) = 7*g**5 + 1. Let s(a) = l(a) + 5*r(a). Solve s(p) = 0 for p.
-1, 1, 4, 8
Suppose 252*t = 241*t + 220. Factor 5*i**4 + 0*i**5 - t*i**2 + 5*i**5 - 30*i**3 + 264*i - 224*i.
5*i*(i - 2)*(i - 1)*(i + 2)**2
Suppose 29*m**3 + 46*m**3 - 3*m**5 + 432 - 3*m**4 + 888*m**2 - 504*m - 885*m**2 = 0. What is m?
-4, 1, 3
Solve 6155/3*g + 1025 + 3085/3*g**2 + 5/3*g**3 = 0 for g.
-615, -1
Let r(q) = -83*q**2 + 727*q - 735. Let a(x) = 125*x**2 - 1078*x + 1104. Let u(f) = -5*a(f) - 8*r(f). Factor u(k).
3*(k - 10)*(13*k - 12)
L