 5*r**2 = 0.
-3
Suppose 4*i - 12 - 12 = 0. Suppose -3*q = i - 15. Let 5*t**3 - 14*t**4 + 36*t**2 - 54 + 0*t**5 - 2*t**5 - 14*t**3 - 11*t**q + 54*t = 0. What is t?
-3, 1
Let s be ((-2)/(-3))/(2/(-21)). Let y be (-17)/((-833)/28) - 10/s. Factor 4/5*a**4 + 3/5*a**5 + 0 + 0*a**y + 0*a + 1/5*a**3.
a**3*(a + 1)*(3*a + 1)/5
Let r(c) be the first derivative of 5*c**4/24 - 5*c**3/18 - 5*c**2/2 + 168. Factor r(w).
5*w*(w - 3)*(w + 2)/6
Let f = 14 - 9. Let -19*y + 14*y + 16*y**4 + 5*y**3 - 21*y**4 + f*y**2 = 0. Calculate y.
-1, 0, 1
Let v = -7835/12 - -653. Let l(q) be the first derivative of -3/4*q**2 + v*q**3 + 9/4*q + 7. Factor l(u).
(u - 3)**2/4
Let n(j) be the first derivative of -j**5/20 - 55*j**4/36 - 29*j**3/2 - 27*j**2/2 + 38*j + 11. Let p(x) be the first derivative of n(x). Factor p(a).
-(a + 9)**2*(3*a + 1)/3
Factor 20*m**4 - 2*m + 65*m**3 - 11*m + 77*m**2 - 26*m - 62*m**2 - 20 - 41*m.
5*(m - 1)*(m + 2)**2*(4*m + 1)
Let k(h) be the second derivative of -h**4/66 - 21*h**3/11 + 136*h. Factor k(c).
-2*c*(c + 63)/11
Let k(c) be the second derivative of -c**6/40 + 21*c**5/80 - 17*c**4/16 + 17*c**3/8 - 9*c**2/4 - 68*c + 2. Find l such that k(l) = 0.
1, 2, 3
Let b(v) be the second derivative of 0 + 8*v + 7/60*v**4 - 2/5*v**3 - 2/5*v**2. Factor b(h).
(h - 2)*(7*h + 2)/5
Let b(r) be the first derivative of 8 + 4/15*r**3 + r**2 - 2/5*r**4 - 8/25*r**5 - 1/15*r**6 + 4/5*r. Suppose b(a) = 0. What is a?
-2, -1, 1
Let y(r) be the second derivative of -1/96*r**4 + 0 + 5*r + 5/16*r**2 + 1/12*r**3. Factor y(b).
-(b - 5)*(b + 1)/8
Let w = 82 + -80. Let n = 4 + -1. Let -5*z**n - 6 + 2*z**3 - 6*z**3 - 30*z**w + 5*z - 32*z = 0. What is z?
-2, -1, -1/3
Suppose -17*u = -18*u. Find v such that -5/3*v**2 - 2/3*v + u = 0.
-2/5, 0
Let s(g) be the third derivative of g**7/70 + g**6/120 - g**5/12 - g**4/24 + g**3/3 - 12*g**2 + 1. Find v, given that s(v) = 0.
-1, 2/3, 1
Let v be -2*(-6)/30*(0 - -10). Find p such that 0*p**3 - 14*p**4 - 5*p**3 + 29*p**v - 25*p**2 - 10*p**4 - 15*p = 0.
-1, 0, 3
Suppose -j + 5*d + 2 = 0, -10*d + 13*d = -d. Factor -2/15*b**3 + 4/15*b + 2/15*b**j + 0.
-2*b*(b - 2)*(b + 1)/15
Suppose 563 = 17*f + 563. Find q, given that 0 - 1/4*q**4 + 0*q**2 + f*q - 1/4*q**5 + 0*q**3 = 0.
-1, 0
Let x(q) be the second derivative of 1/16*q**4 - 10*q - 3/8*q**2 + 0*q**3 + 0. Factor x(k).
3*(k - 1)*(k + 1)/4
Factor 4*h**3 + 2 - 163*h**4 + 8*h**3 + 166*h**4 - 2.
3*h**3*(h + 4)
Let c be 163/(-15) + (-6)/45. Let g be (-9 - c)*(-24)/(-39). Determine o so that -2/13*o**4 + 0 + 8/13*o - g*o**2 + 10/13*o**3 = 0.
0, 1, 2
Let b(x) be the second derivative of -x**7/210 - x**6/48 - x**5/40 + 13*x**4/12 + 2*x. Let a(o) be the third derivative of b(o). Factor a(f).
-3*(f + 1)*(4*f + 1)
Let -2*c**3 + 0 - 2/9*c**5 + 4/3*c**4 + 8/9*c**2 + 0*c = 0. Calculate c.
0, 1, 4
Let m = 2678/657 + 35/73. Let j = 5 - m. Let -2/3*c**5 + 8/9*c**3 - 2/9*c + j*c**2 - 4/9*c**4 + 0 = 0. Calculate c.
-1, 0, 1/3, 1
Suppose 0 = 161*x - 176*x. Let p(u) be the third derivative of -1/100*u**5 + 0*u - 6*u**2 + 0*u**4 + x*u**3 + 0. Factor p(v).
-3*v**2/5
Suppose 6 = -2*h, -5*c - 1 = 5*h - 16. Let s be (c/(-5))/((-2)/55). Suppose -6 - 8*i**3 + 0 - 7*i**3 - 9*i**2 + s*i**2 - 3*i = 0. What is i?
-2/5, 1
Let t(u) be the third derivative of u**6/24 - u**5/6 - 35*u**4/24 - 10*u**3/3 - 193*u**2. Factor t(p).
5*(p - 4)*(p + 1)**2
Let k(b) be the second derivative of b**7/28 - 3*b**6/20 + 3*b**5/40 + 3*b**4/8 - b**3/2 - 28*b + 1. Determine h so that k(h) = 0.
-1, 0, 1, 2
Let c(z) = 20*z**2 + 899*z - 45. Let h be c(-45). Find y, given that 0 + 1/2*y**2 - 1/4*y**3 - 1/4*y**4 + h*y = 0.
-2, 0, 1
Factor 1/2*s**5 + 179*s**3 - 20*s**4 + 441/2*s + 0 + 420*s**2.
s*(s - 21)**2*(s + 1)**2/2
Let g(z) = -155*z**4 + 4370*z**2 - 8435*z + 4115. Let p(x) = -9*x**4 + 257*x**2 - 496*x + 242. Let k(v) = 2*g(v) - 35*p(v). Factor k(o).
5*(o - 6)*(o - 1)**2*(o + 8)
Let w(o) be the first derivative of o**3 + 4*o**2 - 16*o + 41 - 1/20*o**5 - 1/4*o**4. Factor w(z).
-(z - 2)**2*(z + 4)**2/4
Let k be (-1064)/(-63) + 2/18. Suppose 2*q + 12 = t, -q = -t + 2*q + k. Solve 3*v + 8*v**4 - 1 - 4 + 4 - t*v**2 - 2*v**3 - 5*v**4 - v**5 = 0.
-1, 1
Let l be 3/((0 - 1)/1). Let c be l/(-11)*(-10)/(-45)*3. Let -6/11*x**2 + c*x**4 - 4/11 + 2/11*x**3 - 10/11*x = 0. What is x?
-1, 2
Let j(k) be the second derivative of -k**5/20 + 47*k**4/12 - 459*k. Solve j(x) = 0 for x.
0, 47
Find h, given that -62/15*h**4 + 2/5*h - 10/3*h**2 + 94/15*h**3 + 0 + 4/5*h**5 = 0.
0, 1/6, 1, 3
Factor -58/3*m**2 - 16/3 + 2/3*m**4 - 22/3*m**3 - 52/3*m + 2/3*m**5.
2*(m - 4)*(m + 1)**3*(m + 2)/3
Let d(i) be the first derivative of -i**8/7560 + i**6/540 + i**5/270 - 8*i**3 - 20. Let l(h) be the third derivative of d(h). Factor l(z).
-2*z*(z - 2)*(z + 1)**2/9
Suppose 0 = 7*j + 2*j - 0*j. Suppose -4*a + 20 = 5*y, j = 3*a + 4*y - y - 15. What is h in 1/2*h**3 - 1/2*h**2 - 1/4*h + 1/4 + 1/4*h**4 - 1/4*h**a = 0?
-1, 1
Let f(o) be the third derivative of 49*o**6/120 - 14*o**5/15 - 25*o**4/8 - 3*o**3 - 24*o**2. Factor f(h).
(h - 2)*(7*h + 3)**2
Let s(w) = w**4 - w**3 + 2*w**2 + 2*w - 1. Let x(o) = -216*o**5 - 980*o**4 - 1306*o**3 - 521*o**2 - 92*o + 4. Let l(d) = 24*s(d) + 3*x(d). Factor l(z).
-3*(z + 2)**2*(6*z + 1)**3
Let k(h) be the first derivative of h**8/2016 + h**7/1260 - h**6/240 - h**5/360 + h**4/72 - 2*h**2 + 32. Let d(v) be the second derivative of k(v). Factor d(u).
u*(u - 1)**2*(u + 1)*(u + 2)/6
Let w(k) be the first derivative of -k**7/4200 + k**6/450 - k**5/200 - 11*k**3/3 - 14. Let f(z) be the third derivative of w(z). Factor f(x).
-x*(x - 3)*(x - 1)/5
Determine f so that 12*f**4 - 11*f**2 - f**2 + 5 - 5 + 0*f**4 + 70*f**3 = 0.
-6, 0, 1/6
Suppose -28/5*q**3 + 0*q**2 + 0*q - 2/5*q**4 + 0 = 0. Calculate q.
-14, 0
Let h(l) = 6*l**2 - 4*l - 8. Let b be h(4). Let f = b + -2. Solve 860*j**3 - 1053*j**4 - 365*j**2 + 173*j**4 - 5 + f*j + 320*j**5 + 0 = 0.
1/4, 1
Find s, given that -10*s**3 + 19*s**3 - 5*s**4 + 8*s**4 + 84*s + 52*s**2 - 124*s**2 + 0*s**4 = 0.
-7, 0, 2
Let l(d) be the third derivative of -d**8/224 + 3*d**6/80 + d**5/20 + 2*d**2 - 19*d. Factor l(i).
-3*i**2*(i - 2)*(i + 1)**2/2
Let h(x) = 11*x**2 - 151*x - 39. Let z be h(14). Solve 3/2*p + 0 + 3/8*p**z - 15/8*p**2 = 0.
0, 1, 4
What is k in 18/5*k**2 + 12/5*k**3 + 2/5*k**4 + 0 + 0*k = 0?
-3, 0
Let j = -3857/6 + 643. What is y in j*y**5 - y**4 + 0 + 1/2*y - 5/3*y**2 + 2*y**3 = 0?
0, 1, 3
What is h in 2401/4 + 1/4*h**4 + 7*h**3 + 343*h + 147/2*h**2 = 0?
-7
Let b = 899/264 - 37/11. Let z(v) be the second derivative of 0 - 1/60*v**6 + 1/20*v**5 + b*v**4 + 0*v**2 - 1/24*v**3 - 1/56*v**7 + v. What is g in z(g) = 0?
-1, 0, 1/3, 1
Suppose 77*l = 3*l. Let p(y) be the third derivative of 0*y**4 + 0 + 0*y**3 + 0*y**5 + l*y + 8*y**2 + 1/360*y**6. Find k, given that p(k) = 0.
0
Suppose n = -5*z + 14, 2*z - 20 = -2*z - 3*n. Let g be (-680)/(-3672)*(-6)/(-5). Factor 0 + g*r**z + 0*r.
2*r**2/9
Factor 3/5*u**4 + 0 + 0*u + 48/5*u**2 - 6*u**3.
3*u**2*(u - 8)*(u - 2)/5
Suppose -308*p = -525*p. Factor 2/11*l**4 - 4/11*l + 0*l**3 + p - 6/11*l**2.
2*l*(l - 2)*(l + 1)**2/11
Factor -2436*r**3 - 2*r**4 + 0*r**4 + 2434*r**3 - 16*r + 20*r**2.
-2*r*(r - 2)*(r - 1)*(r + 4)
Let g(i) = i**2 - 1. Let p(a) = -2*a**3 - a**2 + 5. Let t(m) = -10*g(m) - 2*p(m). Suppose t(h) = 0. What is h?
0, 2
Let f(z) be the first derivative of z**3/15 + z**2/10 - 4*z - 273. Find k such that f(k) = 0.
-5, 4
Let m(w) = -w**3 - 4*w**2 + 4*w - 2. Let i be m(-5). Suppose -8 + 2 + 49*c - 52*c + i*c**2 = 0. What is c?
-1, 2
Suppose 812 - 212 = 10*t. Let x be ((-76)/t + 1)*(2 - 7). Factor -1/3*y**2 - x*y - 4/3.
-(y + 2)**2/3
Let g(m) be the first derivative of -2*m**3/27 + 4*m**2 - 72*m + 63. Factor g(z).
-2*(z - 18)**2/9
Let b = 112984/508347 + -2/56483. Suppose 2/3*d**3 + 0 - b*d**5 + 4/3*d + 22/9*d**2 - 2/3*d**4 = 0. What is d?
-3, -1, 0, 2
Let t(j) = j**2 - 4*j - 6. Let g be t(6). Suppose -g = -2*c - 2. Factor -4*m**2 - 4 + 6*m + 10*m**c - 8*m**2.
-2*(m - 2)*(m - 1)
Let n(a) be the second derivative of -a**4/6 + 56*a**3/3 + 57*a**2 - 188*a. Let n(r) = 0. What is r?
-1, 57
Let w(n) = 8*n**5 - 9*n**4 + n**3 - 5*n**2 + 5*n. Suppose v - 16 = -15. Let q(u) = u**5 - u**3 - u**2 + u. Let d(r) = v*w(r) - 5*q(r). Factor d(l).
3*l**3*(l - 2)*(l - 1)
Let i(x) be the third derivative o