*y**5 + 8/15*y**3 + 2*y**2 + 20*y. Solve m(h) = 0 for h.
-2, -1, 1/2, 2
Let h(b) be the second derivative of b**6/135 - b**5/90 - b**4/54 + b**3/27 + 1598*b. Find g, given that h(g) = 0.
-1, 0, 1
Let q(p) be the second derivative of -p**4/30 - 27*p**3/5 - 16*p**2 + 11006*p. Solve q(w) = 0 for w.
-80, -1
Let v(r) = 3*r**3 + 1. Let i be v(2). Let q(b) be the second derivative of b + i*b**2 + 1/2*b**4 + 5*b**3 + 1/50*b**5 + 0. Factor q(m).
2*(m + 5)**3/5
Let q(g) = -34*g**3 - 7517*g**2 + 785000*g + 131039. Let k(h) = 21*h**3 + 7518*h**2 - 785001*h - 131040. Let a(n) = 4*k(n) + 3*q(n). Factor a(x).
-3*(x - 209)**2*(6*x + 1)
Suppose 0 = -4*v - 3*w + 26, 4*w - 3 = 5*v - 4*v. Suppose v = 4*t - 15. Factor 180*u**2 - 3*u - u - 121*u**4 - 199*u**4 + t - 51*u - 80*u**3.
-5*(u + 1)*(4*u - 1)**3
Factor -12*r**3 + 85/2 - 96*r + 65*r**2 + 1/2*r**4.
(r - 17)*(r - 5)*(r - 1)**2/2
Suppose 3*j - 335 = 4*g, 3*j + 3*g = -105 + 405. Let z be 48/112 + 39/j. Solve 12/5 - 4/5*s**3 - 12/5*s**2 + z*s = 0 for s.
-3, -1, 1
Let b(w) = -9*w**2 + 557*w + 76176. Let c(v) = 11*v**2 - 558*v - 76176. Let t(g) = 6*b(g) + 5*c(g). Suppose t(i) = 0. What is i?
-276
Let n(g) = g**3 - 2*g**2 - g - 2. Let s(q) = -3*q**3 + 770*q**2 + 48138*q + 31764. Let a(p) = -12*n(p) - 2*s(p). Let a(j) = 0. Calculate j.
-126, -2/3
Let q(j) be the third derivative of -j**6/1020 + 41*j**5/510 - 185*j**4/68 + 825*j**3/17 + 211*j**2. Factor q(b).
-2*(b - 15)**2*(b - 11)/17
Let m(w) be the first derivative of 313 + 528/7*w**2 + 576/7*w + 4/35*w**5 + 388/21*w**3 - 22/7*w**4. Determine x, given that m(x) = 0.
-1, 12
Let b(l) be the second derivative of -2*l**6/15 + 6*l**5 - 101*l**4/3 - 1464*l**3 + 4536*l**2 - 17*l - 3. Determine v so that b(v) = 0.
-7, 1, 18
Let x(j) = -8*j**3 + 1660*j**2 - 86096*j - 21632. Let m(f) = -f**2 + 8*f. Let c(a) = 2*m(a) - x(a). Solve c(s) = 0 for s.
-1/4, 104
Suppose -3 - 8 = g + 3*m, 0 = -m - 5. Let w be ((-10)/g)/5 - 171/(-18). Factor -d**2 - w*d**2 - 10*d - 5*d**3 - 10*d**2 + 5*d**2.
-5*d*(d + 1)*(d + 2)
Let s(g) be the second derivative of 1/45*g**6 - 1/10*g**5 - 8/3*g**2 + 4/3*g**3 - 35*g + 0 - 1/9*g**4. What is w in s(w) = 0?
-2, 1, 2
Factor -24*q**3 - 47*q**4 + 14*q + 76*q + 216 + 18*q**4 - 39*q**2 + 26*q**4.
-3*(q - 2)*(q + 3)**2*(q + 4)
Let y(v) be the third derivative of 1/252*v**6 - 2/315*v**5 - 1/2205*v**7 + 0*v**3 - 160*v**2 + 0 + 0*v**4 + 0*v. Factor y(s).
-2*s**2*(s - 4)*(s - 1)/21
Let s(i) = -3*i - 5. Let l be s(7). Let b = l + 33. Factor 5*j**2 - 3*j + j - j - b*j.
5*j*(j - 2)
Let r be (-3)/(-6)*30280/(-30). Let y = -504 - r. What is u in 1/3*u**2 + u + y = 0?
-2, -1
Let y(s) be the first derivative of 0*s**3 - 1/54*s**6 + 0*s**2 + 1/45*s**5 - 8 + 0*s + 0*s**4. Factor y(o).
-o**4*(o - 1)/9
Let b(z) be the first derivative of -z**4/60 + z**3/30 - 37*z + 25. Let k(y) be the first derivative of b(y). Let k(a) = 0. Calculate a.
0, 1
Let c(h) = -h**2 + 6*h - 1. Let n be c(1). Suppose -6*a = n*a - 20. Factor -4/5*w**a + 0 + 2/5*w**3 + 2/5*w.
2*w*(w - 1)**2/5
Let w be (-1)/(1/(-7)) - 497592/82296. Let s = 20/127 + w. What is i in 8/9*i + 0 + 32/9*i**2 + s*i**4 + 34/9*i**3 = 0?
-2, -1, -2/5, 0
Let u(x) be the third derivative of -x**9/3024 - x**8/1680 + x**7/168 - x**6/120 - 7*x**3 - 3*x**2 - 15. Let i(w) be the first derivative of u(w). Factor i(j).
-j**2*(j - 1)**2*(j + 3)
Let s(b) be the third derivative of 0 + 0*b - 1/70*b**7 + 0*b**3 + 10*b**2 - 3/10*b**5 + 1/8*b**6 + 0*b**4. Solve s(f) = 0 for f.
0, 2, 3
Let h(f) be the first derivative of 5/4*f**3 + 14*f + 3 + 0*f**2 - 1/8*f**4. Let k(w) be the first derivative of h(w). Determine d, given that k(d) = 0.
0, 5
Suppose 4 + 220/7*x**3 - 34*x**2 - 10/7*x = 0. Calculate x.
-7/22, 2/5, 1
Let q = -350151 + 350175. Factor -6/5*k**2 - q + 126/5*k.
-6*(k - 20)*(k - 1)/5
Let a(r) be the third derivative of -5/3*r**3 + 0*r**7 + 0*r - 5/8*r**4 + 1/6*r**5 + 0 - 51*r**2 + 1/6*r**6 - 5/336*r**8. Factor a(o).
-5*(o - 2)*(o - 1)*(o + 1)**3
What is r in 273529/3 + 348*r**3 - 182004*r + 1/3*r**4 + 271438/3*r**2 = 0?
-523, 1
Determine f, given that -6/13*f**4 - 58/13*f**3 + 12/13 + 50/13*f + 8/13*f**5 - 6/13*f**2 = 0.
-2, -1, -1/4, 1, 3
Let a(b) = -4*b**3 + 100*b**2 + 548*b + 420. Let j(r) = 2*r**2. Let v(u) = a(u) + 12*j(u). Find n, given that v(n) = 0.
-3, -1, 35
Let v(b) be the second derivative of -b**6/150 + 9*b**5/100 - 23*b**4/60 + b**3/10 + 18*b**2/5 - 5*b - 26. Suppose v(f) = 0. Calculate f.
-1, 3, 4
Let c be 3/(-21) - (-1)/(28/(-108)). Let u be c/6*17/(1496/(-99)). Factor u*p**3 + 0 + 3/4*p + 3/2*p**2.
3*p*(p + 1)**2/4
Let j = -3/112 + 99/560. Let z(w) be the third derivative of -5*w**3 + 0*w + 0 - 17/8*w**4 - 6*w**2 - j*w**5. Factor z(k).
-3*(k + 5)*(3*k + 2)
Suppose 16/3*s**5 + 44/9*s**4 - 22/9*s**3 + 4/9*s + 0 - 14/9*s**2 = 0. Calculate s.
-1, -2/3, 0, 1/4, 1/2
Let l(k) be the third derivative of -k**6/600 - 167*k**5/150 + k**4/120 + 167*k**3/15 + 31*k**2 + 12. Factor l(b).
-(b - 1)*(b + 1)*(b + 334)/5
Let h = 4618789/5 - 923633. Let -168*r**2 + h*r**3 + 207/5*r + 54/5 = 0. What is r?
-2/13, 3/4
Let 940*h - 380*h - 14*h**3 - 6*h**2 - 67*h**3 - 59*h**3 - 14*h**2 + 5*h**4 = 0. What is h?
-2, 0, 2, 28
Let b(t) be the third derivative of t**7/10 + 167*t**6/20 - 789*t**5/20 + 137*t**4/2 - 50*t**3 - 4033*t**2 - t - 2. Solve b(l) = 0 for l.
-50, 2/7, 1
Find l such that 78*l**3 + 43581895560 + 17379029*l + 30870*l**2 + 46151431*l - 138*l**3 + 65*l**3 = 0.
-2058
Let x be (-4)/(-2) - (-33 - -22 - -7). Suppose -2*i - 2*o + x*o + 26 = 0, 3*i = -3*o - 6. Factor -3*p**2 - 3/2*p**i + 3/2*p**4 + 0 + 0*p.
3*p**2*(p - 2)*(p + 1)/2
Suppose 69/7*c**4 - 3673/7*c**2 - 3816/7*c - 1296/7 - 1083/7*c**3 - 1/7*c**5 = 0. Calculate c.
-1, 36
Let w(g) = -32*g**4 - 1030*g**3 - 2396*g**2 + 1554*g + 12. Let l(o) = -13*o**4 - 412*o**3 - 958*o**2 + 623*o + 5. Let p(c) = 12*l(c) - 5*w(c). Factor p(k).
2*k*(k + 3)*(k + 49)*(2*k - 1)
Let o(d) be the third derivative of d**7/1120 - d**6/120 + d**5/32 - d**4/16 + 35*d**3/6 - 46*d**2 + 1. Let g(w) be the first derivative of o(w). Factor g(f).
3*(f - 2)*(f - 1)**2/4
Suppose -4*w = 7*t - 2*t - 5, w = 4*t - 4. Let f be 3*t + 14 + (-306)/18. Factor 3/5*r**2 - 1/5*r**3 + f*r + 0.
-r**2*(r - 3)/5
Let d(p) be the third derivative of 3*p**4 + 1/168*p**8 + 0 - p + 37*p**2 + 2*p**5 - 2/21*p**7 + 13/60*p**6 + 0*p**3. Factor d(b).
2*b*(b - 6)**2*(b + 1)**2
Let r(k) be the second derivative of -8*k**5/105 - 34*k**4/21 - 289*k**3/21 + 39*k**2 - 2*k - 21. Let g(d) be the first derivative of r(d). Solve g(m) = 0.
-17/4
Let j(x) be the second derivative of -147*x**5/80 - 2191*x**4/16 + 629*x**3/8 - 135*x**2/8 + 4007*x. Let j(c) = 0. What is c?
-45, 1/7
Let v(m) be the second derivative of 101*m + 2*m**2 + 1/10*m**5 + 1/15*m**6 + 0 - 1/3*m**3 - 1/2*m**4. Determine q so that v(q) = 0.
-2, -1, 1
Let 2*k**4 + 318*k**2 - 320 + 1638*k - 3212*k + 1630*k - 56*k**3 = 0. Calculate k.
-1, 1, 8, 20
Let f(y) be the third derivative of -63*y**2 - 1/24*y**4 + 0 - 11/16*y**3 + 0*y + 1/480*y**5. Factor f(a).
(a - 11)*(a + 3)/8
Let r be (16/3)/((-3)/(-18)). Factor 0*t**3 - 17*t**4 - 14*t**4 + r*t**4 + 3*t**3.
t**3*(t + 3)
Let k(d) be the second derivative of d**6/60 + 3*d**5/10 - 103*d**4/24 + 15*d**3/2 - 940*d. Factor k(b).
b*(b - 5)*(b - 1)*(b + 18)/2
Suppose 4*h - 3 = -5*f + 13, 0 = h + 4*f - 4. Suppose 5*a - 26 = -6. Solve -32 - 60*n**3 + 0*n**3 - 112*n - 61*n**2 - 32*n**a - 40*n**3 - h*n**5 - 91*n**2 = 0.
-2, -1
Factor -59/4*v + 1/8*v**2 + 345/8.
(v - 115)*(v - 3)/8
Let n(t) be the first derivative of t**8/1680 - t**7/525 + t**6/600 - 15*t**2/2 + 2. Let j(u) be the second derivative of n(u). Factor j(k).
k**3*(k - 1)**2/5
Factor 69*h**2 - 142*h**2 + 77*h**2 + 248 - 132*h.
4*(h - 31)*(h - 2)
Let a(s) be the third derivative of s**6/600 - 4*s**5/25 - 33*s**4/40 - 5*s**3/3 + 52*s**2 - 3. Factor a(o).
(o - 50)*(o + 1)**2/5
Let k(p) be the first derivative of -p**8/4200 + p**6/150 + 2*p**5/75 + p**4/20 - 4*p**3/3 - 2*p - 3. Let f(s) be the third derivative of k(s). Factor f(y).
-2*(y - 3)*(y + 1)**3/5
Suppose 5*y - 48*g + 46*g - 163 = 0, 4*g + 161 = 5*y. Suppose -2*n + y = 9*n. Determine w, given that 0 - 4/7*w - 2/7*w**2 + 2/7*w**n = 0.
-1, 0, 2
Let t(w) = -9*w**2 + 7038*w + 525069. Let f(n) = n**2 - 880*n - 65636. Let a(d) = -33*f(d) - 4*