/2 - 12*t. Let s(n) be the first derivative of d(n). Factor s(m).
3*(m - 2)**2/4
Let a be (-800)/720*48/(-10). Let a*h + 7/3*h**2 + 4/3 = 0. Calculate h.
-2, -2/7
Suppose 14 = -4*p + 2*t, 0 = -4*p - p + 3*t - 18. Let b be (-22)/(-6) - ((-14)/p)/7. Factor -2/11*a**2 + 4/11*a - 2/11*a**b + 0.
-2*a*(a - 1)*(a + 2)/11
Solve 0 + 3/5*n**3 + 7/5*n - 22/5*n**2 = 0 for n.
0, 1/3, 7
Let z be 32/14 - 4/14. Suppose 4*a - 32 = 4*h, 3*a = 2*a - 4*h - 17. Factor -z*w**2 - 6*w + 6*w - 7*w**a + 0*w**3.
-w**2*(7*w + 2)
Let q(v) = 2*v - 3. Let u(y) = 4*y - 5. Let c(b) = 11*q(b) - 6*u(b). Let a be c(-3). Suppose 0 + 0 + 4*w**2 + 2*w**3 + 5*w - a*w = 0. Calculate w.
-1, 0
Suppose 3*s - 3*n = 7*s + 28, -n = -s. Let u be 2 - (s/(-16) + (-123)/(-84)). Determine m so that 2/7*m**2 + u*m - 4/7 = 0.
-2, 1
Let q(z) be the second derivative of z**5/40 - z**4/12 - z**3/4 + 52*z + 2. Determine u so that q(u) = 0.
-1, 0, 3
Let t(n) = 390*n. Let g be t(0). Find z such that -5/2*z**4 + 0*z + 0*z**2 + g - 5*z**3 = 0.
-2, 0
Suppose -4*g + 60 = 36. Factor 10*h**2 - 4*h**3 - g*h**4 + 13*h**2 + 4*h - 17*h**2.
-2*h*(h - 1)*(h + 1)*(3*h + 2)
Let p be 0 + (0/(-3))/(-1 - -2). Let w be p - (5 - (-135)/(-25)). Factor 2/5*k**3 + 0 + w*k**2 - 2/5*k**4 + 0*k - 2/5*k**5.
-2*k**2*(k - 1)*(k + 1)**2/5
Let a = 2/3595 + 10781/7190. Suppose -a*c**2 + 3/2 - 3/4*c + 3/4*c**3 = 0. Calculate c.
-1, 1, 2
Let u(t) be the second derivative of -t**8/15680 - t**7/5880 - t**4/3 - 10*t. Let p(j) be the third derivative of u(j). Determine a so that p(a) = 0.
-1, 0
Let c(u) be the first derivative of 1/3*u**2 + 0*u + 4 + 1/12*u**4 + 1/3*u**3. Determine h, given that c(h) = 0.
-2, -1, 0
Let c(n) be the second derivative of n**6/90 - n**5/10 + 13*n**4/36 - 2*n**3/3 + 2*n**2/3 - 3*n - 24. Factor c(v).
(v - 2)**2*(v - 1)**2/3
Let x(n) = n**4 + 17*n**3 + 25*n**2 + 12*n. Let v(o) = 4*o**4 + 33*o + 22*o**3 + 76*o**2 + 9*o - 6*o + 30*o**3. Let r(w) = 3*v(w) - 8*x(w). Solve r(q) = 0.
-3, -1, 0
Let r(x) = x - 2. Let k(y) = -25*y**2 - 50*y + 60. Let g(m) = -k(m) - 15*r(m). Factor g(h).
5*(h + 2)*(5*h - 3)
Let v(q) be the second derivative of -q**7/840 + q**6/60 - q**5/10 + q**4/3 + q**3/2 + 14*q. Let b(d) be the second derivative of v(d). Factor b(r).
-(r - 2)**3
Let a(v) be the second derivative of -v**5/10 + v**4/2 + 22*v**3/3 - 24*v**2 - 436*v. Factor a(b).
-2*(b - 6)*(b - 1)*(b + 4)
Let z(t) be the first derivative of -t**4 - 12*t**3 - 54*t**2 - 108*t + 112. Factor z(h).
-4*(h + 3)**3
Let l(d) be the third derivative of d**7/5040 - d**6/80 + 27*d**5/80 + 5*d**4/4 + 17*d**2. Let n(b) be the second derivative of l(b). Factor n(x).
(x - 9)**2/2
Let n(s) be the first derivative of s**4/14 + 2*s**3/7 - 10*s**2/7 - 27. Find h, given that n(h) = 0.
-5, 0, 2
Suppose 0 = 3*c + 15 - 69. Let -48*q**4 + 16*q**3 + 56*q**2 - c*q + 20*q + 10*q - 8 - 28*q**5 = 0. Calculate q.
-1, 2/7, 1
Factor 56/15*u - 2/15*u**2 - 104/15.
-2*(u - 26)*(u - 2)/15
Let r(s) be the second derivative of s**7/28 + 3*s**6/10 - 6*s**5/5 - 48*s - 1. Factor r(b).
3*b**3*(b - 2)*(b + 8)/2
Let x(k) be the first derivative of k**6/1440 + k**5/240 - k**4/32 - 14*k**3/3 - 29. Let f(c) be the third derivative of x(c). Factor f(j).
(j - 1)*(j + 3)/4
Factor 0*i + 958 - 958 - i**2 - 6*i + i**3.
i*(i - 3)*(i + 2)
Let r(p) be the third derivative of -p**7/350 - 4*p**6/25 - 33*p**5/10 - 121*p**4/5 + 1331*p**3/10 + 41*p**2 - 2. Determine u so that r(u) = 0.
-11, 1
Let t(a) be the second derivative of -a**6/120 + a**5/40 + 11*a**3/6 + 4*a. Let n(q) be the second derivative of t(q). Factor n(h).
-3*h*(h - 1)
Let g be 5*10*(-24)/(-20). Let p = g - 60. Factor 1/4*w**2 + 1/4*w + p.
w*(w + 1)/4
Let x be ((-8)/(-6))/((-6)/(-9)). Suppose -1 = -2*d + x*w - 3, -2*d + 4*w - 4 = 0. Suppose d - 3/4*p**3 - 3/4*p**2 + 0*p = 0. What is p?
-1, 0
Let r(i) be the third derivative of 1/25*i**5 + 2/15*i**4 + 0*i + 1/300*i**6 + 14*i**2 + 0*i**3 + 0. Suppose r(j) = 0. What is j?
-4, -2, 0
Let w be (-15)/(-1 - -4) - -9. Let b(l) be the first derivative of 9/20*l**5 - 3/4*l**3 + 2 + 3/16*l**w + 0*l - 3/8*l**2. Solve b(m) = 0 for m.
-1, -1/3, 0, 1
Let f(o) = -11*o**2 + 2*o**3 + 2*o**2 - 2*o**3 + 3*o**3. Let g(d) = d**3 - 4*d**2. Suppose 2*r + 10 = -3*r. Let v(u) = r*f(u) + 5*g(u). Factor v(z).
-z**2*(z + 2)
Let k(m) be the second derivative of 0 + 1/10*m**4 - 4/5*m**2 + 9*m - 1/15*m**3. Find p, given that k(p) = 0.
-1, 4/3
Let n(o) be the first derivative of -20/3*o**3 - 20*o - 85/2*o**2 - 4. Find b such that n(b) = 0.
-4, -1/4
Let n(r) be the second derivative of -2*r**7/7 + 17*r**6/15 - 2*r**5/5 - 5*r**4/2 + 4*r**3/3 + 4*r**2 + 483*r. What is j in n(j) = 0?
-2/3, -1/2, 1, 2
Let z(t) be the first derivative of -16*t - 4/3*t**3 + 38 + 8*t**2. Factor z(a).
-4*(a - 2)**2
Let i be (1/6 - 1)/(8/564). Let s = 59 + i. Solve -3/4*b**2 - s + 1/4*b**3 + 3/4*b = 0.
1
Let u be (-2)/(-6) + 29/(-87). Factor 2/11*v**3 + 0*v**2 + u*v + 0.
2*v**3/11
Factor 36*d**3 - 28*d**3 + 4*d**2 - 8*d + 4*d**4 - 2*d**4 - 6.
2*(d - 1)*(d + 1)**2*(d + 3)
Let s be 6*-42*5/(-100) + 18/(-30). Factor 24*f**3 + 3/2 + s*f**2 - 21/2*f.
3*(f + 1)*(4*f - 1)**2/2
Let p(r) be the second derivative of r**8/2240 - r**7/560 + r**5/80 - r**4/32 + r**3/6 - 5*r. Let h(c) be the second derivative of p(c). What is x in h(x) = 0?
-1, 1
Let w = 77 + -299/4. Let q = -2 + w. Factor -1/4*c + 1/2 - q*c**2.
-(c - 1)*(c + 2)/4
Let d(a) be the second derivative of a**7/147 - a**6/105 - a**5/10 + a**4/42 + 2*a**3/7 + a - 1. Solve d(y) = 0 for y.
-2, -1, 0, 1, 3
Let 3/2*w**4 + 0 - 3/2*w**2 - 9/2*w + 9/2*w**3 = 0. What is w?
-3, -1, 0, 1
Let q(k) be the first derivative of 25*k**6/24 + 15*k**5/4 + 5*k**4 + 10*k**3/3 - 3*k**2/2 - 8. Let w(z) be the second derivative of q(z). Factor w(u).
5*(u + 1)*(5*u + 2)**2
Let q(f) = -f**2 + 7*f - 1. Let n be q(6). Suppose 11 - n = 3*j. Factor 13*w**j + 2*w + 3*w**2 - 15*w**2.
w*(w + 2)
Let c(q) be the third derivative of -q**5/120 - q**4/48 + 816*q**2. Factor c(u).
-u*(u + 1)/2
Let o(c) be the first derivative of -20*c**3 + 116*c**2 + 32*c - 114. Factor o(y).
-4*(y - 4)*(15*y + 2)
Let i = 44 + -101. Let z = 108 + i. Factor -2*d**5 + 2*d + z*d**2 - 23*d**2 - 4*d**4 - 24*d**2.
-2*d*(d - 1)*(d + 1)**3
Let h(j) be the third derivative of j**6/200 - 4*j**5/75 + j**4/40 + j**3/3 - j**2 - 26*j. Determine n so that h(n) = 0.
-2/3, 1, 5
Let x = -1990 - -29852/15. Factor x*v**4 + 0 + 0*v + 2/5*v**2 - 8/15*v**3.
2*v**2*(v - 3)*(v - 1)/15
Let b(r) = -r**3 + 14*r**2 + 10*r - 296. Let w be b(13). Let d(j) be the third derivative of -7/80*j**5 + 0*j - 1/4*j**w + 0 + 7*j**2 - 9/32*j**4. Factor d(t).
-3*(t + 1)*(7*t + 2)/4
Let u(b) be the first derivative of 5*b**8/112 - 4*b**7/21 + b**6/4 - 5*b**4/24 + 11*b**2 + 12. Let n(r) be the second derivative of u(r). Factor n(c).
5*c*(c - 1)**3*(3*c + 1)
Let i(w) = 2*w + 19. Let z be i(-8). Suppose -72*t**4 - 280*t**2 + 5*t**5 + 27*t**4 - 80 + 240*t + 152*t**3 + 8*t**z = 0. What is t?
1, 2
Let s(o) = 2*o**2 + 6*o - 4. Suppose -5 + 4 = -x. Let p(f) = f**2. Let d(h) = x*s(h) + 2*p(h). Factor d(w).
2*(w + 2)*(2*w - 1)
Let q(a) = 36*a**4 - 340*a**3 + 1784*a**2 - 2144*a - 4320. Let i(w) = 7*w**4 - 68*w**3 + 357*w**2 - 429*w - 864. Let v(t) = -16*i(t) + 3*q(t). Solve v(s) = 0.
-1, 6
Let d be (-5)/10 - (-789)/42. Let a = 288 - 286. Factor -d*o**a - 228/7*o - 20/7*o**3 - 72/7.
-4*(o + 3)**2*(5*o + 2)/7
Let s(n) be the third derivative of n**6/120 - 39*n**5/20 + 77*n**4/8 - 115*n**3/6 - 540*n**2. Factor s(w).
(w - 115)*(w - 1)**2
Let b = 22 - 14. Suppose -3*k - k = b, -3*k - 2 = 2*n. Factor -12*y**n - 6 - 13*y**2 - 8*y - 6*y**2 + 29*y**2.
-2*(y + 1)*(y + 3)
Let t be (-4)/(-8)*-12*1. Let x be (-3 + t/(-2))/2. Factor 4 - 4*o**3 + o**3 - 12*o + x*o**3 + 11*o**2.
-(o - 2)*(o - 1)*(3*o - 2)
Let n = -227 - -231. Let w(m) be the second derivative of -1/60*m**5 - 1/6*m**3 - 3/2*m**2 + 5/36*m**4 + n*m + 0. Factor w(x).
-(x - 3)**2*(x + 1)/3
Factor 4*b**2 + 32 + 784*b - 125 - 792*b - 3.
4*(b - 6)*(b + 4)
Let r(j) be the first derivative of j**4/5 + 8*j**3/15 - 6*j**2/5 - 413. Find h such that r(h) = 0.
-3, 0, 1
Suppose 339*d = 387*d - 96. Factor 0*r**4 - 1/5*r**5 + 0 + 6/5*r**3 - 8/5*r**d + 3/5*r.
-r*(r - 1)**3*(r + 3)/5
Let r(l) be the first derivative of l**5/80 + l**4/48 - l**3/12 - 13*l + 10. Let o(c) be