 21/4*x**3 + 12 + 9*x**2 - 45*x.
3*(x - 2)*(x + 4)*(7*x - 2)/4
Let l(d) be the third derivative of -d**6/144 - 11*d**5/60 - 13*d**4/144 + d**2 + 2. Let l(s) = 0. What is s?
-13, -1/5, 0
Let s = 77 + -75. What is q in -24*q - q**4 - 14*q**4 + 44*q**3 + 10*q**3 - 36*q**s = 0?
-2/5, 0, 2
Let o(a) be the third derivative of 1/4*a**4 - 5*a**2 + 0*a + 0 + 2/3*a**3 + 1/30*a**5. Let o(d) = 0. What is d?
-2, -1
Let c = -15 + 23. Suppose p = c - 5. Suppose 3*b + 15*b**2 + 2*b + 4*b**4 + b**4 + 15*b**p = 0. Calculate b.
-1, 0
Suppose -2*r = 3*r - 30. Let v(p) = -p**2 + 9*p - 14. Let w be v(7). Let 3*c**2 + w + 3 + 0*c - r*c = 0. What is c?
1
Suppose 7*m = 4*m + 3, 4*p = -m + 33. Suppose 0 = u + 5*g + p, -4*g - 16 = -0*u - 4*u. Factor 1/3*i**5 - 1/3*i**u - 1/3*i**3 + 0 + 1/3*i**4 + 0*i.
i**2*(i - 1)*(i + 1)**2/3
Let o(h) be the third derivative of h**5/100 + 7*h**4/40 + 2*h**2 - 79. Suppose o(v) = 0. Calculate v.
-7, 0
Let h(i) be the second derivative of i**4/8 - 12*i**3 + 69*i**2 + 705*i. Solve h(a) = 0 for a.
2, 46
Let b(z) be the third derivative of 0*z**5 + 0*z**6 - 1/6*z**3 + 0*z**4 + 0*z + 0 - 1/840*z**7 + 6*z**2. Let y(t) be the first derivative of b(t). Factor y(a).
-a**3
Let h be 2*(-4)/28 - (-204)/126. Factor 4/3*v + 8/3 - 8/3*v**2 - h*v**3.
-4*(v - 1)*(v + 1)*(v + 2)/3
Suppose 903*u - 910*u = 0. What is s in -8/3*s**3 + s**2 + u + s**4 + 2/3*s = 0?
-1/3, 0, 1, 2
Find l such that -23*l**2 + 18*l**4 - 4*l - 28*l - 24*l**3 - 47*l**2 + 18*l**4 - 10*l**2 = 0.
-2/3, 0, 2
Let i(p) be the second derivative of -4*p**6/15 + 9*p**5/10 + 5*p**4 - 8*p**3/3 + 9*p + 7. Suppose i(s) = 0. Calculate s.
-2, 0, 1/4, 4
Let q = 6 + 2. Suppose 9*w - q = 5*w. Let 4*i**4 - 4*i**3 - 14*i**2 + 8*i + i**3 + 2*i**5 - 3*i**3 + 6*i**w = 0. What is i?
-2, 0, 1
Let f(p) be the third derivative of 0*p**4 - 1/240*p**5 + 11*p**2 + 0*p**3 + 0*p + 1/120*p**6 + 0. Determine x so that f(x) = 0.
0, 1/4
Let x = -71 + 65. Let b(c) = 1453*c**2 + 216*c + 3. Let g(j) = 726*j**2 + 108*j + 1. Let k(r) = x*b(r) + 10*g(r). Factor k(s).
-2*(27*s + 2)**2
Let u(i) = 12*i**4 - 25*i**4 + 12*i**4. Let h(k) = 6*k**3 + 2*k**2 - 6*k - 4. Let y(o) = h(o) - 2*u(o). Find s, given that y(s) = 0.
-2, -1, 1
Let p be 17/(-34)*20/(-1 + 0). Suppose 4*y + 4 + 36*y**3 - 34*y**3 - p*y = 0. Calculate y.
-2, 1
Factor 288 - 14*l**2 + 5*l**2 + 29*l + 11*l**2 + 19*l.
2*(l + 12)**2
Let s(x) be the first derivative of x**4/12 - 16*x**3/9 + 25*x**2/6 + 14*x + 737. Factor s(u).
(u - 14)*(u - 3)*(u + 1)/3
Suppose 3*j + 17 = 2*t, 11 = -0*t - t - 5*j. Let p(f) be the first derivative of -f**2 + t*f - 2/3*f**3 - 3. Factor p(m).
-2*(m - 1)*(m + 2)
Let a be (43 - (-9 + 5)) + 2. Let y = 101/2 - a. Suppose y*t - 1 - 1/2*t**2 = 0. What is t?
1, 2
Let f(x) be the third derivative of -x**6/480 + x**5/120 + 5*x**4/32 - 222*x**2. Factor f(t).
-t*(t - 5)*(t + 3)/4
Let b(u) be the first derivative of -4*u**3/3 + 28*u**2 - 132*u - 185. Factor b(a).
-4*(a - 11)*(a - 3)
Let z(o) be the first derivative of -3*o**5/25 + 3*o**4/4 - 6*o**3/5 - 237. Factor z(u).
-3*u**2*(u - 3)*(u - 2)/5
Let m be (-70)/24*(258/10 + 1). Let p = m - -293/3. Solve -3*q + 63/2*q**5 + 39/2*q**2 - 57/2*q**3 + 0 - p*q**4 = 0.
-1, 0, 2/7, 1/3, 1
Let z be (-68)/(-18) - 2/(-9). Factor -3*c**3 + 6*c**z - 5 - 3*c**5 + 5.
-3*c**3*(c - 1)**2
Let c(w) = 4*w**3 + 274*w**2 + 3*w - 3. Let p(i) = 12*i**3 + 820*i**2 + 8*i - 8. Let m(j) = -8*c(j) + 3*p(j). Determine r, given that m(r) = 0.
-67, 0
Let u be (-59551)/(-8475) - (1 + 6). Let j(a) be the second derivative of 9*a + 3/25*a**5 + u*a**6 + 2/15*a**4 + 0 + 0*a**3 + 0*a**2. Factor j(r).
4*r**2*(r + 1)*(r + 2)/5
Let b(w) be the third derivative of w**5/60 - w**4/2 - 9*w**2. Let u be 10/(((-8)/2)/(-2)). Let i(x) = 6*x. Let y(s) = u*i(s) + 3*b(s). Factor y(q).
3*q*(q - 2)
Let b(p) be the second derivative of -p**4/30 - 16*p**3/15 + 444*p. Factor b(n).
-2*n*(n + 16)/5
Let j(k) be the second derivative of 2*k**7/21 - 4*k**6/7 + 29*k**5/35 + 22*k**4/21 - 24*k**3/7 + 16*k**2/7 + 36*k. Determine x, given that j(x) = 0.
-1, 2/7, 1, 2
Let h(u) be the first derivative of 11/6*u**4 - 12*u**2 + 8/3*u**3 + 19 - 2/5*u**5 + 32/3*u. Find f, given that h(f) = 0.
-2, 2/3, 1, 4
Let i(h) be the second derivative of 1/189*h**7 + 0 + 2/27*h**3 + 1/10*h**5 - 28*h + 0*h**2 - 1/27*h**6 - 7/54*h**4. Solve i(s) = 0.
0, 1, 2
Suppose -3*o = -o + 10, -4*m - 5 = 5*o. Suppose 12 + 9 - m + 16*d + 4*d**2 = 0. What is d?
-2
Let i(y) be the first derivative of -5*y**3/3 + 20*y - 503. Let i(h) = 0. Calculate h.
-2, 2
Let t(o) be the first derivative of 9*o**5/5 + 39*o**4/4 - 13*o**3 - 39*o**2/2 + 30*o - 68. Solve t(s) = 0.
-5, -1, 2/3, 1
Let x(d) be the first derivative of 3 + 2/45*d**3 - 4/15*d - 1/15*d**2. Factor x(u).
2*(u - 2)*(u + 1)/15
Let k(h) be the first derivative of -13/10*h**4 - 2/25*h**5 - 112/5*h**2 - 128/5*h - 8*h**3 - 24. Suppose k(n) = 0. Calculate n.
-4, -1
Solve 21*v**2 + 72*v - 54*v**3 + 27*v**2 - 56*v**2 - 2*v**5 + 24*v**4 = 0 for v.
-1, 0, 2, 9
Let y be (-5 - 57/(-12))/((-119)/56). Factor 0*r**3 + 4/17*r**4 + y*r**5 - 2/17*r + 0 - 4/17*r**2.
2*r*(r - 1)*(r + 1)**3/17
Let k(s) be the third derivative of -1/5*s**5 + 0 + 1/3*s**4 + 0*s - 1/6*s**6 + 0*s**3 + 17*s**2. Factor k(w).
-4*w*(w + 1)*(5*w - 2)
Let k(o) be the third derivative of 0 + 2/735*o**7 - 1/42*o**4 + 24*o**2 + 0*o + 0*o**3 - 1/105*o**5 + 1/210*o**6. Factor k(c).
4*c*(c - 1)*(c + 1)**2/7
Let o(x) be the second derivative of -x**5 + 0*x**2 + 2/15*x**6 + 7/3*x**4 + x + 4 - 2*x**3. Factor o(l).
4*l*(l - 3)*(l - 1)**2
Let g(i) = 15*i**4 + i**3 - 14*i**2 - 6*i + 4. Let f(o) = -7*o**4 - o**3 + 7*o**2 + 3*o - 2. Let r(s) = -5*f(s) - 2*g(s). Factor r(t).
(t - 1)*(t + 1)**2*(5*t - 2)
Let y be (((-50)/75)/(2/(-3)))/4. Factor 0*p**3 - 1/4*p**4 - y + 0*p + 1/2*p**2.
-(p - 1)**2*(p + 1)**2/4
What is u in 94*u + 45 - 5*u**3 - 61*u**2 - 89*u + 67*u**2 - 51*u**2 = 0?
-9, -1, 1
Factor -4226/5*r**2 - 36*r**3 - 1584*r - 3872/5 - 2/5*r**4.
-2*(r + 1)**2*(r + 44)**2/5
Let z = 464/9 + -3998/9. Let d = z - -400. Let d*f**2 + 8*f**3 - 14/3*f**4 - 8*f - 8/3 = 0. Calculate f.
-1, -2/7, 1, 2
Suppose -2*v = -2*r - 8, -3*r - 6 = -6*r + v. Find l, given that -1/3*l**r - 4/3*l**2 - 2/3*l**3 + 0 + l + 4/3*l**4 = 0.
-1, 0, 1, 3
Let k be (-148)/296*(1 + -5). Suppose 2/9*l**4 + 0*l + 4/9*l**k + 2/3*l**3 + 0 = 0. What is l?
-2, -1, 0
Let s(o) be the third derivative of o**6/210 - 4*o**5/21 + 67*o**4/42 - 32*o**3/7 + 215*o**2. Factor s(y).
4*(y - 16)*(y - 3)*(y - 1)/7
Let y(d) = d**2 + d - 1. Let f be y(0). Let g be (-4)/f + (5 - 7). Find t, given that 36*t**g - 12*t - 2*t**3 - 9*t**5 + 2*t**3 + 9*t**3 - 24*t**4 = 0.
-2, 0, 1/3, 1
Let f(w) be the first derivative of 2*w - 3/8*w**4 - 6 + 2*w**2 + 1/6*w**3. Factor f(b).
-(b - 2)*(b + 1)*(3*b + 2)/2
Let h(l) be the first derivative of 8/3*l + 1/24*l**4 + 2/3*l**2 - 7/18*l**3 - 9. Solve h(z) = 0 for z.
-1, 4
Let s be 392/(-12)*-3 + -4. Let u = 96 - s. Factor -u - 3/2*q**2 - 4*q.
-(q + 2)*(3*q + 2)/2
Find v, given that -95*v**2 + 60*v**2 - 46*v**2 + 3*v**3 - 84*v**2 + 3267*v - 33*v**2 = 0.
0, 33
Suppose u - 6/5 - 1/5*u**2 = 0. What is u?
2, 3
Factor -450 - 1/2*m**4 + 11*m**3 - 181/2*m**2 + 330*m.
-(m - 6)**2*(m - 5)**2/2
Let a(m) be the third derivative of m**6/600 - m**5/50 - 7*m**4/120 - 2*m**2 + 228. Find b, given that a(b) = 0.
-1, 0, 7
Let v(a) be the first derivative of -a**6/2 - 21*a**5/5 - 45*a**4/4 - 13*a**3 - 6*a**2 - 110. Solve v(d) = 0.
-4, -1, 0
Let h be 3*2 + (-13 - 1551/(-220)). Let m(r) be the third derivative of 0*r + 1/4*r**4 + 0 - 2*r**2 + h*r**5 - 3/2*r**3. Factor m(o).
3*(o - 1)*(o + 3)
Let i(p) = -6*p**2 - 11*p + 4. Let x be i(-2). Factor -1/7*u**x + 1/7 + 0*u.
-(u - 1)*(u + 1)/7
Let r = -84/11 - -4211/550. Let w(u) be the second derivative of 8*u - 1/15*u**3 - r*u**5 + 1/15*u**4 + 0 + 0*u**2. What is f in w(f) = 0?
0, 1
Let w(j) be the third derivative of j**5/210 + j**4/2 + 21*j**3 + 6*j**2 + 8. Let w(p) = 0. Calculate p.
-21
Let u be (24/(-15))/4*-10. Let m = 1 + u. Let 3*c - 1 + 4*c - m*c - c**2 = 0. Calculate c.
1
Let c(a) be the first derivative of -1/48*a**4 + 1/80*a**5 + 0*a**3 + 6 + 6*a + 0*a**2. Let x(l) be the first derivative of c(l). Factor x(i).
i**2*(i - 1)/4
Let t(m) be the second derivative of 7/5*m**6 + 3/4*m**5 - 7/2*m**4 + 0*m*