1*z.
3*z*(z - 1)*(2*z + 7)
Let f(g) = 29*g - 145. Let t be f(5). Let a(i) be the second derivative of -3/2*i**2 - 13*i + 3/4*i**3 + t - 1/8*i**4. Let a(s) = 0. Calculate s.
1, 2
Let x = 38 - 24. Suppose -10*f + x*f = 8. Determine d so that 0*d**4 + 0*d**f + 0 + 2/3*d**3 - 2/3*d**5 + 0*d = 0.
-1, 0, 1
Let n(b) = -b**2 - 2*b. Let w(m) = -m**3 + 2*m**2 + 7*m + 6. Let h(g) = -2*n(g) + w(g). Let h(c) = 0. What is c?
-1, 6
Let f(b) be the second derivative of -b**5/20 - 11*b**4/6 - 59*b**3/6 - 19*b**2 - 68*b. Determine v, given that f(v) = 0.
-19, -2, -1
Find u such that -40328/11 - 2/11*u**2 + 568/11*u = 0.
142
Let g(z) be the second derivative of z**5/120 - 35*z**4/72 + 67*z**3/36 - 11*z**2/4 + 314*z. Factor g(p).
(p - 33)*(p - 1)**2/6
Let s be -2 + 5 - 4/((-144)/(-2946)). Let u = s + 79. Factor 1/3*p - 1/2*p**2 + u*p**3 + 0.
p*(p - 2)*(p - 1)/6
Let q = 107 + -89. Suppose 39*c - 30*c - q = 0. Factor 2/3*r + 2/3*r**c + 2/9*r**3 + 2/9.
2*(r + 1)**3/9
Suppose -2*r = 8*r - 60. Let v be (4/(-6))/((-1)/r). Find o such that 0*o**2 - 2/3*o + 2/3*o**3 - 1/3*o**v + 1/3 = 0.
-1, 1
Suppose -u = 4*p + 16, -3*u - 4*p = -8*u - 56. Let a be -4*3/u + 5. Let -3*z**2 - a + 3 - 6*z + 12*z + 0*z = 0. What is z?
1
Let o(y) be the second derivative of 25*y + 0 - 25/96*y**4 - 5/24*y**3 - 1/16*y**2. Let o(d) = 0. Calculate d.
-1/5
Let b(p) be the second derivative of p**9/1080 - 23*p**8/3360 + p**7/63 - p**6/90 + 11*p**4/12 - 2*p. Let y(h) be the third derivative of b(h). Factor y(d).
2*d*(d - 2)*(d - 1)*(7*d - 2)
Let z(k) = k**2 - 1. Let q be z(-2). Suppose -q*l = p - 8, p = -3*p + 8. Factor 0 + 2/5*h**l + 0*h.
2*h**2/5
Let q(i) be the second derivative of -147/16*i**2 + 0 - 1/32*i**4 + 23*i + 7/8*i**3. Determine v so that q(v) = 0.
7
Let k = 96265/11 - 8751. Determine j, given that k*j**3 - 4/11*j + 2/11 - 2/11*j**4 + 0*j**2 = 0.
-1, 1
Suppose -3*y = 3*q + 36 - 45, -4*y - q + 30 = 0. Factor 0 - 18*f**3 - 3/2*f - 9/2*f**5 + y*f**2 + 15*f**4.
-3*f*(f - 1)**3*(3*f - 1)/2
Let b(o) = -o**3 + 2*o**2 - o. Let g(k) be the first derivative of -k**4/4 + k**3/3 + k**2/2 - k + 8. Let p(d) = -3*b(d) + 6*g(d). Find h such that p(h) = 0.
-2, 1
Let l be ((-495)/198)/((4/(-10))/((-16)/(-30))). Solve 22/3*s**2 + l*s + 4/3*s**3 + 0 = 0 for s.
-5, -1/2, 0
Let j(b) be the third derivative of -1/20*b**4 - 16*b**2 + 0*b**3 + 0*b + 0 - 1/20*b**5. Factor j(i).
-3*i*(5*i + 2)/5
Let i = -110 - -56. Let g be i/(-15) + ((-102)/(-30) - 4). Factor 2/11*o**4 + 4/11*o + 0 + 8/11*o**g + 10/11*o**2.
2*o*(o + 1)**2*(o + 2)/11
Factor -45*i + 6 + 72*i + 3*i**3 - 36*i.
3*(i - 1)**2*(i + 2)
Let l(o) be the third derivative of -o**7/210 + o**6/60 + o**5/12 - o**4/4 - 12*o**2. Factor l(w).
-w*(w - 3)*(w - 1)*(w + 2)
Let n(q) be the second derivative of 2*q**7/147 - 2*q**6/15 + 19*q**5/35 - 25*q**4/21 + 32*q**3/21 - 8*q**2/7 + 213*q. Factor n(g).
4*(g - 2)**2*(g - 1)**3/7
Let x(i) = i - 2*i + 2*i - 2*i + i**2 + i**3. Let q(f) = -20*f**3 - 25*f**2 + 15*f. Let t(w) = -q(w) - 15*x(w). Find m, given that t(m) = 0.
-2, 0
Let k be (-14)/(-5)*(-5 + 0). Let s = k + 16. Factor -3*p + 8*p**3 - 2*p**3 - p**3 - 2*p**3 - 2*p**2 + s.
(p - 1)*(p + 1)*(3*p - 2)
Factor 3/2*q**3 + 15*q + 21/2*q**2 + 0.
3*q*(q + 2)*(q + 5)/2
Let x(j) = -5*j**3 - 4*j**2 + 6. Let d = 14 + -8. Let a(h) = -6*h**3 - 5*h**2 + 7. Let i(q) = d*a(q) - 7*x(q). Find k such that i(k) = 0.
-2, 0
Let z(h) be the third derivative of -h**5/8 + 91*h**4/8 + 111*h**3/4 - 329*h**2. Solve z(n) = 0.
-3/5, 37
Let l(u) be the first derivative of u**4/6 - 4*u**3/3 + 3*u**2 - 8*u/3 + 75. Suppose l(n) = 0. Calculate n.
1, 4
Let m(j) be the second derivative of -1/2*j**5 + 0*j**2 + 0*j**3 + 0 - 1/6*j**6 - 5/12*j**4 + 3*j. Factor m(z).
-5*z**2*(z + 1)**2
Let u(n) be the third derivative of n**5/20 - 11*n**4/24 - 5*n**3/3 + 13*n**2. Let j(g) = 48*g**2 - 177*g - 159. Let b(c) = -2*j(c) + 33*u(c). Factor b(y).
3*(y - 4)*(y + 1)
Find x, given that -630*x**3 + 0*x**2 + 0*x**2 + 4*x**2 - 2*x**4 + 632*x**3 = 0.
-1, 0, 2
Let p be 24/16 - (-1)/((-6)/(-3)). Let n(a) be the first derivative of -p*a**2 - 9/2*a**4 + 0*a + 22/3*a**3 - 3. Factor n(s).
-2*s*(s - 1)*(9*s - 2)
Suppose m + 4 = -2*j + 10, 0 = -4*m + 8. Factor -391*c**j + 194*c**2 + 605 + 202*c**2 - 110*c.
5*(c - 11)**2
Let y(s) be the second derivative of s**5/4 - 5*s**4/6 + 81*s + 2. Suppose y(f) = 0. Calculate f.
0, 2
Let t = 39 + -19. Suppose -3*m = 3*k - 33 + 12, -4*k + 4*m + t = 0. Let -d**4 - 3*d**4 + k*d**4 = 0. What is d?
0
Let n(z) be the second derivative of 11*z**6/1080 - 17*z**5/360 + z**4/12 + 13*z**3/6 + 43*z. Let v(i) be the second derivative of n(i). Factor v(m).
(m - 1)*(11*m - 6)/3
Factor -751*p - 46656 - 4*p**2 - 209*p + 96*p.
-4*(p + 108)**2
Let x(h) be the second derivative of -h**8/1120 - h**7/315 - h**6/360 - h**4/12 - 19*h. Let r(o) be the third derivative of x(o). Factor r(g).
-2*g*(g + 1)*(3*g + 1)
Let w = 1059/58 + -399/29. Factor -w*x + 3/2 - 3/2*x**3 + 9/2*x**2.
-3*(x - 1)**3/2
Let u(a) be the third derivative of -a**5/15 + 4*a**4/3 - 14*a**3/3 + 95*a**2. Factor u(o).
-4*(o - 7)*(o - 1)
Let w(s) be the third derivative of -s**8/168 - s**7/105 + s**6/20 + s**5/30 - s**4/6 - s**2 + 42*s. Solve w(h) = 0.
-2, -1, 0, 1
Let r(h) = -13*h**4 - 80*h**3 - 226*h**2 - 154*h - 5. Let j(l) = 6*l**4 + 40*l**3 + 112*l**2 + 76*l + 2. Let x(c) = -5*j(c) - 2*r(c). Factor x(i).
-4*i*(i + 1)*(i + 3)*(i + 6)
Let w be 49 - (4 - 4 - 3). Factor 27*l**4 - 7*l**3 + 64*l**2 + 16*l + 23*l**3 + w*l**3 - 7*l**4.
4*l*(l + 1)*(l + 2)*(5*l + 2)
Let z(r) be the first derivative of 1/13*r**2 + 22 + 0*r**3 + 0*r - 1/26*r**4. Determine j, given that z(j) = 0.
-1, 0, 1
Let n = 1/2189 + 8747/19701. Let b(g) be the first derivative of 1/3*g**2 - 1/18*g**4 + 0*g**3 - n*g - 6. Factor b(v).
-2*(v - 1)**2*(v + 2)/9
Let p(l) be the second derivative of l**8/23520 - l**7/1470 + l**6/280 - 7*l**4/6 - 8*l. Let f(c) be the third derivative of p(c). Factor f(y).
2*y*(y - 3)**2/7
Let m be 4/(-28) + 133/245. Factor 0*w**2 + 0*w + m*w**3 + 0.
2*w**3/5
Let t = 176 + -174. Suppose t*h = 2*c + 22, -2*c = -3*h + 18 + 10. Suppose -27*y**2 - h*y - 1/3 = 0. What is y?
-1/9
Let b(t) be the second derivative of 0*t**2 + 0 + 0*t**3 - 1/10*t**5 - 1/3*t**4 + 10*t. Factor b(q).
-2*q**2*(q + 2)
Let o = 10 + 5. Let f = o + -13. Find d, given that 3*d**3 - 27*d**f - d**5 - 22*d**2 + 47*d**2 = 0.
-2, 0, 1
Let r = 11680 - 11680. Factor 2/9*b**3 - 2/9*b**2 - 2/9*b + r + 2/9*b**4.
2*b*(b - 1)*(b + 1)**2/9
Let n be 6/(-24)*-1 + (-16)/(-448). Factor 0*t**3 + n*t**4 + 0 - 2/7*t**2 + 0*t.
2*t**2*(t - 1)*(t + 1)/7
Let g = 3638 - 3635. Factor 0 + 4/3*b**4 + 0*b - 4*b**g - 16/3*b**2.
4*b**2*(b - 4)*(b + 1)/3
Let q(i) = -i**2 - 15*i + 102. Let z be q(-20). Let d(h) be the second derivative of -2*h**z - 9*h - 4/3*h**3 + 0 - 1/3*h**4. Factor d(l).
-4*(l + 1)**2
Suppose -13 = -3*q + 2*q - 2*p, 5*p + 25 = 0. Solve 17*j**2 + q*j**2 - 39*j**2 - 3*j**3 + 3*j + 1 - 2*j**4 = 0.
-1, -1/2, 1
Suppose 3 = 3*t - 6 - 6, 0 = -r + t. Factor 24/5*h**3 - 12/5*h**2 + 3/5*h**r + 0*h - 3*h**4 + 0.
3*h**2*(h - 2)**2*(h - 1)/5
Let q(z) be the first derivative of -2*z**5/45 - z**4/9 + 14*z**3/27 - 4*z**2/9 - 27. Factor q(g).
-2*g*(g - 1)**2*(g + 4)/9
Suppose 2*o + 3*z + 3 = -3, -4*o = 3*z. Suppose -3*p = -3 - o. Determine f, given that 6*f**2 - f**p - 3*f**2 = 0.
0
Let g(y) = -9*y**2 + 3*y - 6. Let r(i) = -i**2 + 2*i + 0*i**2 - i - 1. Let w = -119 + 113. Let l(q) = w*r(q) + g(q). Let l(v) = 0. Calculate v.
-1, 0
Suppose -5*r + 235 = -5*o, -34 = -2*r + o + 61. Let h be (1/((-10)/3))/(r/(-128)). Factor h + 6/5*w + 2/5*w**2.
2*(w + 1)*(w + 2)/5
Factor 15*v**2 - 13*v**2 - 4*v**4 + 2*v**3 - 10*v**2 - 3*v**3 + 2*v + 11*v**3.
-2*v*(v - 1)**2*(2*v - 1)
Let d = -51339/2 + 25673. Factor 9/2*h**2 + d + 15/2*h + 1/2*h**3.
(h + 1)**2*(h + 7)/2
Let i(k) be the third derivative of -5/48*k**4 + 0 + 0*k - 1/120*k**5 + 1/2*k**3 + 7*k**2. Factor i(t).
-(t - 1)*(t + 6)/2
Let r be 36/60 + (11/10)/(-1). Let i = 11/6 + r. Let 6*m**2 + i*m - 14/3*m**5 - 6*m**4 + 0 + 10/3*m**3 = 0. What is m?
-1, -2/7, 0, 1
Let 82/3*f + 386/3*f**3 + 32/3*f**5 + 8/3 + 284/3*f**2 + 208/3*f**4 = 0. Calculate f.
-4, -1, -1/4
Let a = -5/138 - 86/483. Let x = -1/21 - a. Suppose -1/3*d + 1/2 - x*d**2 = 0. What is d?
-3, 1
Factor 2*k**4 - 48*k - 32*