**3 - v**4 - 9*v**2 + 3*v - 2*v**4 + 0*v**3 + v**d = 0.
0, 1
Factor 15*t + 15*t + 3*t**2 - 30*t + 6*t + 3.
3*(t + 1)**2
Let z(a) be the first derivative of -47 + 4/9*a**3 + 2/3*a**2 - 8/3*a. Factor z(y).
4*(y - 1)*(y + 2)/3
Let m(u) be the third derivative of -u**8/4032 - u**7/504 + u**6/48 + u**5/6 + 5*u**2. Let s(n) be the third derivative of m(n). Find c such that s(c) = 0.
-3, 1
Let l(b) be the third derivative of 1/300*b**5 + 0*b + 0 - 6*b**2 + 1/60*b**4 - 1/10*b**3. Suppose l(q) = 0. Calculate q.
-3, 1
Let s(v) be the second derivative of v**6/165 + 3*v**5/110 - v**4/2 + 53*v**3/33 - 24*v**2/11 + 25*v - 2. Determine r so that s(r) = 0.
-8, 1, 3
Let j be (-14)/119 - (-350)/85. Let g(u) be the second derivative of 3/140*u**5 + 0 + 1/28*u**j - 4*u + 0*u**3 + 0*u**2. Determine w, given that g(w) = 0.
-1, 0
Let x = 52978 - 105955/2. Factor 1/4 - 1/4*l**4 + 1/2*l**3 - x*l + 0*l**2.
-(l - 1)**3*(l + 1)/4
Let m(o) be the first derivative of -4*o**3/3 - 70*o**2 - 136*o - 12. Factor m(g).
-4*(g + 1)*(g + 34)
Let w(c) be the second derivative of -c**4/21 - 8*c**3/7 - 72*c**2/7 + c - 10. Determine y, given that w(y) = 0.
-6
Let v = 4499/7980 - 32/57. Let k(h) be the third derivative of 1/6*h**3 + 0*h - 4*h**2 - 1/80*h**6 + 1/16*h**4 - 1/120*h**5 - v*h**7 + 0. Solve k(l) = 0 for l.
-2, -1, 1
Let h(d) be the first derivative of -d**6/720 - 3*d**5/80 + 5*d**4/24 - 3*d**3 - 31. Let k(j) be the third derivative of h(j). Suppose k(t) = 0. What is t?
-10, 1
Let z(j) be the first derivative of j**7/735 + j**6/420 + 9*j**2/2 - 7. Let x(m) be the second derivative of z(m). Factor x(n).
2*n**3*(n + 1)/7
Let l(g) be the second derivative of g**6/18 - g**5/6 - 5*g**4/36 + 5*g**3/9 + 96*g. Let l(u) = 0. What is u?
-1, 0, 1, 2
Let d(m) = m**3 - m**2 - 2*m + 4. Let n be d(0). Let x(g) = -g**2 - g - 1. Let o(b) = -20*b + 12. Let j(i) = n*x(i) - o(i). Factor j(h).
-4*(h - 2)**2
Factor -29*s**2 - 416*s**3 + 5*s**4 + 33*s + 410*s**3 - 27*s.
s*(s - 3)*(s + 2)*(5*s - 1)
Suppose -4*c + 34 = 4*h - 2*h, 4 = 2*c. Let n(t) = t - 9. Let b be n(h). Suppose -3*f**2 + 3*f**b + 2*f**2 - 2*f**4 + 2*f**2 + 2*f**3 = 0. Calculate f.
-1, 0
Factor -121/7 + 22/7*x - 1/7*x**2.
-(x - 11)**2/7
Suppose 74*g + 10 = 10. Let r(v) be the third derivative of -1/90*v**5 - 4/9*v**3 + 0 - 7*v**2 + 1/9*v**4 + g*v. Factor r(x).
-2*(x - 2)**2/3
Let b(h) be the third derivative of 0*h**3 - h**2 - 3/40*h**6 + 0*h**5 + 1/70*h**7 + 0*h + 1/2*h**4 + 28. Factor b(k).
3*k*(k - 2)**2*(k + 1)
Solve 2153*l - 1073*l - 1142*l - 3*l**2 + l**4 + 8*l**3 + 56 = 0 for l.
-7, -4, 1, 2
Let j(s) = -s**3 - 31*s**2 - 27*s + 90. Let k be j(-30). Solve 1/4*q**5 + k + 3*q**2 + q + 13/4*q**3 + 3/2*q**4 = 0.
-2, -1, 0
Factor 2/9*t**3 - 2 - 14/9*t**2 - 34/9*t.
2*(t - 9)*(t + 1)**2/9
Let f(z) be the first derivative of -1/3*z**2 + 0*z + 21 + 1/6*z**4 + 0*z**3. Factor f(i).
2*i*(i - 1)*(i + 1)/3
Let w be (-1 + 0)/(-1*(-5)/(-395)). Let m = 239/3 - w. Factor 8/3*n**3 + 8/3*n - 2/3 - 4*n**2 - m*n**4.
-2*(n - 1)**4/3
Let h = 18680 + -18678. Solve 0*m**h + 0 - 2/13*m + 2/13*m**3 = 0 for m.
-1, 0, 1
What is k in 6/5*k + 2/5*k**2 - 4 = 0?
-5, 2
Let l(j) be the third derivative of 0*j - 11*j**2 - 1/15*j**5 + 1/3*j**4 + 0 - 2/3*j**3. Factor l(s).
-4*(s - 1)**2
Suppose -2*i = -6*i - 3*r + 23, 3*i - 31 = -5*r. Let z = -26 - -35. Solve -4*k + 13*k**i - z + 2*k - 4*k**2 + 5*k - 3*k**3 = 0 for k.
-1, 1, 3
Let z(g) be the first derivative of 5*g**3/3 - 5*g**2 + 5*g + 55. Find l, given that z(l) = 0.
1
Suppose -10 = d - 3*s, -4*d = -d + 2*s + 8. Let u be (-6)/d*40/6. Factor -5*m - 6 + 9*m + u*m - 8*m**2.
-2*(m - 1)*(4*m - 3)
Let v(s) be the third derivative of -s**7/42 + s**6/24 - 47*s**2 - s. Solve v(p) = 0 for p.
0, 1
Suppose 0 = 4*t + 20, 3*l - t + 295 = -2*l. Let u = 63 + l. Factor 0*z + 3*z**u + 0 + 6/7*z**2.
3*z**2*(7*z + 2)/7
Suppose 19 + 13 = 16*k. Let 4*t - 1/2*t**k - 8 = 0. Calculate t.
4
Let g(u) = -u**2 + 61*u - 174. Let q be g(3). Factor q + 1/2*r**2 + r.
r*(r + 2)/2
Let q(c) be the first derivative of 1/44*c**4 + 1/22*c**2 + 0*c + 2/33*c**3 - 26. Determine m so that q(m) = 0.
-1, 0
Let h(p) be the second derivative of -p**7/16380 + p**6/1170 + p**5/156 + 13*p**4/4 + 32*p. Let m(n) be the third derivative of h(n). Solve m(o) = 0.
-1, 5
Let k(d) be the first derivative of -5/3*d**3 - 5/2*d**2 + 0*d - 2. Solve k(z) = 0 for z.
-1, 0
Let m be (0 - (8 - 8))/4. Let m + 4/5*h**3 - 1/5*h**4 + 0*h - 4/5*h**2 = 0. Calculate h.
0, 2
Let p(y) be the first derivative of -y**4/3 - 8*y**3/3 + 28*y + 15. Let v(t) be the first derivative of p(t). Find k such that v(k) = 0.
-4, 0
Let g = -2468 - -7405/3. Let v(q) be the first derivative of 1/5*q**5 - 3/4*q**4 + 5 - 2*q + g*q**3 + 3/2*q**2. Determine d so that v(d) = 0.
-1, 1, 2
Let j(y) be the third derivative of 0*y**3 - 4/5*y**6 + 0*y + 0 - 10*y**2 + 0*y**4 - 4/15*y**5 - 2/3*y**7. Solve j(v) = 0.
-2/5, -2/7, 0
Let a(i) = i - 3. Let w be a(11). Factor -28*p + 3*p**2 - w - 47*p**2 - 20*p**3 - 4*p**4 + 8*p**2.
-4*(p + 1)**3*(p + 2)
Let v be 40 + (18/(-3))/(-2). Find y such that v*y**4 - 2*y**3 + 2*y**5 - 43*y**4 = 0.
-1, 0, 1
Let g(b) = -b**3 + b**2 + 2. Let c be g(0). Let q be ((-742)/16695)/((-1)/15). Find l, given that q*l**c + 4*l + 6 = 0.
-3
Let l be 9 + 6/(-18)*15. Let x(u) be the third derivative of 1/1050*u**7 + 0*u**3 - 11*u**2 + 0 - 1/120*u**l + 0*u - 1/300*u**5 + 1/600*u**6. Factor x(h).
h*(h - 1)*(h + 1)**2/5
Let h(v) = -9*v**2 - 27*v - 59. Let i(c) = 8*c**2 + 28*c + 60. Let r(b) = 4*h(b) + 5*i(b). Solve r(q) = 0.
-4
Let p(r) be the third derivative of r**6/180 - 11*r**5/45 + 35*r**4/12 - 16*r**3 + 32*r**2 + 4. Find u such that p(u) = 0.
3, 16
Let c = -3852 - -65532/17. Determine k, given that 6/17*k**2 - c*k + 208/17*k**3 + 8/17 + 96/17*k**4 = 0.
-2, -2/3, 1/4
Let a = -26 + 30. Factor -5 - 636*q + 556*q - 5*q**5 - 15 - 95*q**3 - 125*q**2 - 35*q**a.
-5*(q + 1)**3*(q + 2)**2
Let f(h) be the third derivative of h**6/180 - 7*h**5/90 - 7*h**4/12 + 3*h**3 - 17*h**2 + 16. Suppose f(i) = 0. Calculate i.
-3, 1, 9
Let r(v) be the first derivative of 22*v**5/85 - 35*v**4/34 + 26*v**3/17 - v**2 + 4*v/17 + 76. Suppose r(l) = 0. Calculate l.
2/11, 1
Let s(o) = -2*o**4 + o**3 + o**2. Let w(k) = 9*k**4 - 87*k**3 + 582*k**2 + 84*k - 588. Let d(l) = -3*s(l) - w(l). Determine u so that d(u) = 0.
-1, 1, 14
Let n = 11984/59995 + 3/11999. Factor -n - 2/5*x - 1/5*x**2.
-(x + 1)**2/5
Let x be -1*3/15*(-14 - -14). Let 2/9*t**3 + 0*t + 0*t**2 + x = 0. Calculate t.
0
Let c(d) = -7*d**4 - 14*d**3 + 9*d**2 + 19*d - 7. Let j(z) = 15*z**4 + 29*z**3 - 20*z**2 - 39*z + 15. Let u(l) = 7*c(l) + 3*j(l). Factor u(v).
-(v - 1)*(v + 2)**2*(4*v - 1)
Factor 113*y + y**3 + 4*y**2 - 23*y - 39*y**2 + 150*y + 324 + 48*y.
(y - 18)**2*(y + 1)
Let z(o) be the second derivative of o**7/1260 + o**6/180 - o**4/9 + 5*o**3/3 + 2*o**2 + 4*o - 3. Let y(r) be the second derivative of z(r). Factor y(x).
2*(x - 1)*(x + 2)**2/3
Let l(b) be the first derivative of 0*b**2 - 8*b + 2/3*b**3 + 15. Suppose l(m) = 0. Calculate m.
-2, 2
Let x be ((-6)/18)/((-4)/6)*-42. Let u be -5*(-3)/x + 1. Factor 2/7*m**3 - u*m**5 - 2/7*m**2 + 0 + 0*m + 2/7*m**4.
-2*m**2*(m - 1)**2*(m + 1)/7
Let l(v) = 7*v**3 - 56*v**2 + 57*v - 8. Let o(u) = -2*u**3 - u**2 + u + 2. Let r(t) = 3*l(t) + 12*o(t). Factor r(a).
-3*a*(a - 1)*(a + 61)
Suppose -7/4 + 2*v**2 - 3/2*v**3 - 1/4*v**4 + 3/2*v = 0. What is v?
-7, -1, 1
Suppose -21 = 5*a - 31. Suppose -2*h**3 + 0 - a*h**4 - 2/3*h**2 + 0*h - 2/3*h**5 = 0. Calculate h.
-1, 0
Let q(z) be the second derivative of z**6/360 - 2*z**3/3 + 3*z. Let t(k) be the second derivative of q(k). Factor t(v).
v**2
Let w(x) be the first derivative of 64*x**5/15 + 56*x**4/3 - 52*x**3/3 - 58*x**2/3 - 16*x/3 + 49. Suppose w(v) = 0. Calculate v.
-4, -1/4, 1
Let i be ((-10)/(-5))/((-1)/(-2)). What is x in 14*x**4 + 15*x**3 - 15*x + 6 - 9*x**i - 11*x**4 = 0?
-1, 1/2, 1, 2
Let c(k) = 11*k**3 - 34*k**2 + 9*k - 14. Let t(q) = 5*q**3 - 16*q**2 + 5*q - 6. Let n(b) = -6*c(b) + 14*t(b). Determine m so that n(m) = 0.
0, 1, 4
Let v(j) be the third derivative of -j**6/60 + 4*j**5/15 - 13*j**4/12 + 2*j**3 - j**2 - 31. Solve v(m) = 0 for m.
1, 6
Let b be 10 + 11466/(-1188) - 1/6. Factor 8/11 + 10/11*f**2 - b*f**3 - 16/11*f.
-2*(f - 2)**2*(f - 1)/11
Let s(q) = 2*q**4 -