/5
Suppose -5*d + 3*p = 90 - 277, 0 = -5*d - 2*p + 167. Let -17*m - 4*m**2 + 10*m - d*m - 371 + 275 - 2*m = 0. What is m?
-8, -3
Let y be 1/(-2)*((-220)/25)/11. Let k(c) be the first derivative of 0*c + 0*c**4 + 0*c**2 - y*c**5 + 2/3*c**3 - 30. Factor k(q).
-2*q**2*(q - 1)*(q + 1)
Let x be 0/(3 + 12/(-3)). Suppose x*p + p = 2*j + 10, 4*j = -p - 14. Determine y so that 8/11*y**5 - 14/11*y**3 + 2/11*y**p + 6/11*y - 2/11 + 0*y**4 = 0.
-1, 1/2, 1
Suppose -112 = -60*l + 56*l. What is n in 11*n**2 - 9*n**2 + 196 - n**2 + l*n = 0?
-14
Factor 2/7*a**3 + 10629366/7*a + 7986/7*a**2 + 4715895382/7.
2*(a + 1331)**3/7
Let l(q) be the first derivative of 2*q**3/3 + 102*q**2 + 2752*q + 3904. Factor l(k).
2*(k + 16)*(k + 86)
Let s(r) be the third derivative of r**8/50400 + 11*r**7/12600 - 19*r**5/6 - 2*r**2 - 41. Let b(v) be the third derivative of s(v). Find o such that b(o) = 0.
-11, 0
Let u(c) be the third derivative of c**9/60480 - c**8/2240 - c**7/504 - 8*c**5/15 - c**4/24 - 32*c**2. Let t(p) be the third derivative of u(p). Factor t(b).
b*(b - 10)*(b + 1)
Let f(u) = 2*u**2 + 5*u - 55. Let m be f(-9). Factor 56 + 4*r**2 - m*r - 21*r + 143*r.
4*(r + 1)*(r + 14)
Let d(k) be the first derivative of -k**6/120 + 4*k**5/15 - 8*k**4/3 - 5*k**2/2 - 9*k + 13. Let z(i) be the second derivative of d(i). Factor z(q).
-q*(q - 8)**2
Let w(t) be the third derivative of 10*t - 5/24*t**4 + t**3 + 0 - 1/60*t**5 - 3*t**2. Determine v, given that w(v) = 0.
-6, 1
Let d(c) = -c**2 - 15*c + 54. Let q be d(3). Let b(r) be the third derivative of 0 - 7/40*r**6 - 5/8*r**4 + q*r + 13/20*r**5 - 24*r**2 - 1/2*r**3. Factor b(p).
-3*(p - 1)**2*(7*p + 1)
Suppose -171*o - 108 - 108*o**2 - 16/3*o**4 - 1/3*o**5 - 34*o**3 = 0. Calculate o.
-4, -3
Let q = 508532 + -508530. Solve -1/2*b**4 + 3/2*b**3 + 0 + 0*b - b**q = 0 for b.
0, 1, 2
Factor 36 - 2*y**2 - 144*y + 104 + 87*y + 100 - 59*y.
-2*(y - 2)*(y + 60)
Let f(r) be the third derivative of r**7/42 - 2*r**6 + 45*r**5/4 + 4486*r**2. Factor f(k).
5*k**2*(k - 45)*(k - 3)
Let p = 2708043/164126 - -18/82063. Determine a so that -31/2*a**3 - 4 + a + 9/2*a**5 - 5/2*a**4 + p*a**2 = 0.
-2, -4/9, 1
Let q be (-10114)/(-20) + 63/210. Let z = q + -502. Solve 12/5*y**3 + 24/5*y + 8/5 + 26/5*y**2 + 2/5*y**z = 0.
-2, -1
Let 201/2*i - 1/2*i**3 + 100*i**2 + 0 = 0. Calculate i.
-1, 0, 201
Solve -1/2*d**3 + 33/2*d**2 - 31*d + 0 = 0 for d.
0, 2, 31
Let y = -239421 + 239423. What is f in 15/2 + 1/4*f**y - 31/4*f = 0?
1, 30
Let u be 21/55 + 12/(-66). Let b(s) be the first derivative of 1/5*s**3 + 2/5*s**2 + u*s - 17. Determine j, given that b(j) = 0.
-1, -1/3
Let p be (-20)/(-100)*820/369. Suppose -12 = 3*z, -3*g + 4 = 2*z + 3. Factor -2/9*f + p*f**g - 2/9*f**5 - 4/9*f**2 + 2/9 + 2/9*f**4.
-2*(f - 1)**3*(f + 1)**2/9
Suppose 8 = -c - 2*t, t = 5*t + 20. Factor 0*g - 3*g**2 + 4*g**3 - 5*g**3 - c*g**3 + 6*g.
-3*g*(g - 1)*(g + 2)
Solve -43/4*a - 1/4*a**5 - 3 - 9*a**3 - 5/2*a**4 - 29/2*a**2 = 0 for a.
-4, -3, -1
Let l(m) be the third derivative of 29*m**5/90 + 653*m**4/9 + 20*m**3 - 11818*m**2. Solve l(c) = 0 for c.
-90, -2/29
Let l(j) be the first derivative of 15*j**6/2 - 48*j**5/5 - 1263*j**4/4 + 1510*j**3 - 2514*j**2 + 1368*j - 3623. Find w, given that l(w) = 0.
-19/3, 2/5, 2, 3
Let w(c) be the third derivative of 0*c + 1/15*c**5 - 7*c**2 - 7/3*c**4 - 14 + 26/3*c**3. Let w(q) = 0. Calculate q.
1, 13
Let z(q) be the first derivative of -22*q**3 + 0*q**2 + 3/4*q**4 + 0*q - 115. Factor z(r).
3*r**2*(r - 22)
Let k(f) be the second derivative of -3/100*f**5 + 12*f + 1/10*f**3 + 0 + 0*f**2 + 0*f**4. Factor k(d).
-3*d*(d - 1)*(d + 1)/5
Let f(r) = 124*r**2 - 4044*r + 7232. Let y(b) = 5*b**2 - 18*b + 1. Let p(t) = f(t) - 24*y(t). Find l, given that p(l) = 0.
2, 901
Factor 2/5*h**2 + 6/5*h + 4/5.
2*(h + 1)*(h + 2)/5
Let l = 120 - 118. Find u such that -6 + 2*u**3 + 5*u + u + 6*u**l - 8*u = 0.
-3, -1, 1
Determine j so that 23*j**3 + 1088 + 124*j**2 + 349*j + 374*j + 13*j**3 - 38*j**3 + 77*j = 0.
-4, -2, 68
Find v such that 39*v**3 - 4*v**3 - 32*v**3 - 117*v**2 + 12*v**2 = 0.
0, 35
Let n(p) be the second derivative of -7*p**6/180 + 39*p**5/20 + 17*p**4/6 - 115*p**3/6 + 132*p. Let x(k) be the second derivative of n(k). Factor x(r).
-2*(r - 17)*(7*r + 2)
Factor -580/3*h + 68/3*h**2 - 4/9*h**3 - 23548/9.
-4*(h - 29)**2*(h + 7)/9
Let q = 15431/8 + -1926. Let c = q + -191/72. What is u in -8/9*u**2 + 0 + 2/9*u**5 - 8/9*u**4 + 4/3*u**3 + c*u = 0?
0, 1
Suppose -205/4*t - 5/2*t**4 + 10*t**2 - 5/4*t**5 - 75/2 + 45/2*t**3 = 0. What is t?
-5, -1, 2, 3
Let w(o) = -3*o**5 + 49*o**4 + 115*o**3 + 11*o**2 - 192*o. Let h(i) = 2*i**5 - i**4 + i**2 + 3*i. Let d(v) = 4*h(v) + w(v). Factor d(c).
5*c*(c - 1)*(c + 3)**2*(c + 4)
Let v be (0 - -74) + -92 + 172/6. Factor v*j + 8/3*j**2 - 2/3*j**3 - 128/3.
-2*(j - 4)**2*(j + 4)/3
Let t(b) be the first derivative of 52 - b**3 - 63*b**2 - 75 + 16 - 1323*b + 50. Determine m so that t(m) = 0.
-21
Let b(c) be the second derivative of -c**6/6 - 27*c**5/4 - 395*c**4/4 - 3685*c**3/6 - 1815*c**2 + 523*c. Determine d, given that b(d) = 0.
-11, -3, -2
Factor -556*t**2 + 276*t**2 + 9 - 4 - 4*t + 279*t**2.
-(t - 1)*(t + 5)
Let -33*o + 153/2*o**4 - 369/2*o**2 - 165/2*o**3 + 15/2*o**5 + 0 = 0. Calculate o.
-11, -1, -1/5, 0, 2
Let g(o) be the third derivative of -o**7/280 - o**6/24 + 3*o**5/20 + 2*o**3/3 + 11*o**2. Let x(c) be the first derivative of g(c). Factor x(m).
-3*m*(m - 1)*(m + 6)
Let g(t) be the first derivative of -3*t**5/5 - 45*t**4/4 + 93*t**3 - 411*t**2/2 + 180*t - 3508. Factor g(j).
-3*(j - 3)*(j - 1)**2*(j + 20)
Let r(x) = 664*x**3 + x**2 + x**2 + 2*x**2 + 51 - 2*x**2 - 665*x**3 - 14*x. Let p be r(3). Solve p + 4/3*i**2 - 20/3*i = 0.
0, 5
Suppose 346 + 86 = 27*q. Factor 5*v**4 - 3*v**4 + 40*v**3 + 0*v**4 - 840*v + 332*v**2 + 450 + q*v**3.
2*(v - 1)**2*(v + 15)**2
Let o(h) be the second derivative of -h**6/1620 + h**5/108 - h**3/3 + 20*h**2 + h + 2. Let z(g) be the second derivative of o(g). Let z(t) = 0. Calculate t.
0, 5
Determine t, given that -210*t**2 + 417/2 + 207*t**3 - 207*t + 3/2*t**4 = 0.
-139, -1, 1
Let l(o) = -11*o**2 + 345*o + 335. Let p(b) = 24*b**2 - 690*b - 665. Let k(u) = -7*l(u) - 3*p(u). Let k(z) = 0. Calculate z.
-1, 70
Suppose -4*q = -a + 3*a - 236, 3*q - 170 = -5*a. Let o be 146/(-19) + (q - 52). Factor 6/19 - 2/19*c**3 - o*c**2 + 2/19*c.
-2*(c - 1)*(c + 1)*(c + 3)/19
Let n(l) = -l**2 + 7*l + 8. Let r be n(4). Suppose -4*y - r = 5*k, 6*y - k = y + 4. Factor 17*u**2 + 0*u**3 + y + 16*u**2 - 9*u**3 - 36*u + 12.
-3*(u - 2)*(u - 1)*(3*u - 2)
Factor 64 - 88 + 17 + 56 - 5*z**2 + 4*z**2.
-(z - 7)*(z + 7)
Let a(m) = -7*m**3 + 124*m**2 - 330*m + 3. Let r(p) = -76*p**3 + 1356*p**2 - 3632*p + 32. Let g(k) = -32*a(k) + 3*r(k). Factor g(s).
-4*s*(s - 21)*(s - 4)
Factor 58/13*r + 20/13 + 24/13*r**2.
2*(r + 2)*(12*r + 5)/13
Let j be 1*112/(-210)*(57 + -60). Let x = 1506/5 + -298. Factor -x*s**2 - j*s - 2/5*s**4 + 0 - 2*s**3.
-2*s*(s + 1)*(s + 2)**2/5
Solve 80*b**2 + b**3 - 1155 + 2217 - 5*b - 1142 + 4*b**3 = 0.
-16, -1, 1
Suppose 7*b - 5*i = 4*b - 14, -3*b + 18 = 3*i. What is k in k**2 + 315*k**3 - 14*k**b - 158*k**3 - 155*k**3 + k**2 = 0?
0, 6
Factor 141*p**2 + 3/4*p**3 - 27075/2 + 25935/4*p.
3*(p - 2)*(p + 95)**2/4
Let p = -258 + 261. Let c be (p/(-6) - -1)*(-8)/(-12). Let 5/3*y**2 - c*y**3 + 0 - 4/3*y = 0. What is y?
0, 1, 4
Let m be 52863/(-105) + 8/(-20) - -1. Let y = m + 503. Find s, given that 5/7*s**2 - 4/7*s**3 + y*s**4 - 2/7*s + 0 = 0.
0, 1, 2
Factor 0*p + 5/4*p**4 + 0 - 176*p**2 - 28*p**3 + 1/4*p**5.
p**2*(p - 11)*(p + 8)**2/4
Let n(k) = 2*k**4 + 14*k**3 - 2*k**2 - 2*k + 12. Let y(i) = i**3 + i + 2. Let c(x) = -n(x) + 6*y(x). Determine s, given that c(s) = 0.
-4, -1, 0, 1
Let j = 16223 + -16221. Suppose -22/7*o - 2/7*o**j + 24/7 = 0. Calculate o.
-12, 1
Let u = -954 - -956. Let m(y) be the second derivative of 10/3*y**3 + 25*y**u - 2*y + 0 + 1/6*y**4. Factor m(g).
2*(g + 5)**2
Let y be (5 + (-168)/16)*-20. Determine n, given that 180*n**2 - y*n - 578*n**3 + 36*n**4 + 448*n**3 + 25 - n**4 = 0.
5/7, 1
Let a be (2/(-8))/(26/(-312)). Suppose 5*x + 4*x + 124*x**3 - 123*x**a + 10*x**2 = 0. Calculate x.
-9, -1, 0
Let c = 88 + -86. Find h such that 56*h + 55 - 23*h + 27*h + 5*h**c = 0.
-11, -1
Let z(w) be the third derivative of -w**7/70