3/2*h**4 + x*h**3. Determine f, given that q(f) = 0.
-1, 0, 1/3, 1
Let l = -19871/13 + 1529. Find m, given that 0*m - 4/13*m**2 - l*m**3 - 2/13*m**4 + 0 = 0.
-2, -1, 0
Factor 0 - 6*i - 7/5*i**2 + 1/5*i**3.
i*(i - 10)*(i + 3)/5
Let s(x) be the first derivative of 9*x**5/5 - 13*x**4/3 + 23*x**3/9 + x**2/3 + 330. Let s(a) = 0. What is a?
-2/27, 0, 1
Suppose -5*s = 1205 - 1205. What is o in 0 + s*o**4 + 4/3*o**3 - 2/3*o**5 + 0*o**2 - 2/3*o = 0?
-1, 0, 1
Let p(d) = 2*d**2 - 41*d + 204. Let f be p(12). Factor f + 0*a**2 + 0*a + 1/2*a**4 - 1/2*a**3.
a**3*(a - 1)/2
Suppose 98*g = 2*g. Let u = -43/33 - -18/11. Find x, given that -u*x**3 + x**2 + g + 0*x = 0.
0, 3
Let c(j) be the second derivative of -j**6/105 - 51*j**5/70 + 26*j**4/21 - 180*j. Find t such that c(t) = 0.
-52, 0, 1
Let z be (-36)/(-30)*-5 - (-11 + 4 + 1). Let 4*a**4 + 0*a - a**2 + 1/2*a**3 + 5/2*a**5 + z = 0. What is a?
-1, 0, 2/5
Let c be 18/(-54) + (-38)/(-6). Let 7*b**2 - 1 + c*b**2 - 12*b**2 + 0*b**2 = 0. What is b?
-1, 1
Let h be (-2)/((-4)/6)*1000/12. Let p = h + -2248/9. Find v, given that 4/9 + p*v**2 - 2/3*v = 0.
1, 2
Let h(j) be the first derivative of -j**4/14 + j**2 + 12*j/7 - 68. Let h(u) = 0. What is u?
-2, -1, 3
Factor 7*s**3 + 16*s**2 - 373*s - 3*s**3 + 388*s - 3*s**3.
s*(s + 1)*(s + 15)
Let i = 1/147 - -193/441. Let 0 - 8/9*q - i*q**2 = 0. Calculate q.
-2, 0
Let o(v) = -3*v + 48. Let f be o(-20). Let t be (-30)/f + -2 + (-10)/(-4). Solve -t - 4/9*d - 2/9*d**2 = 0 for d.
-1
Let p(m) be the first derivative of 6 + 6*m + 107/3*m**3 + 83/5*m**5 + 10/3*m**6 + 135/4*m**4 + 41/2*m**2. Factor p(h).
(h + 1)**3*(4*h + 3)*(5*h + 2)
Suppose -3*t + 0*t + 2 = -2*k, -4 = 2*t + 4*k. Let l be 11/(-11) - (-21)/9. Factor l*c**4 + 2*c**3 + 0 + t*c + 2/3*c**2.
2*c**2*(c + 1)*(2*c + 1)/3
Let a be (-24)/60 - 46/5*3. Let z = -138/5 - a. Factor 18/5 - 12/5*o + z*o**2.
2*(o - 3)**2/5
Suppose 4*s = -5*s - 18. Let y be 1 + -2 + (-3)/s. Suppose 1/2 + o**3 - 1/2*o**5 + y*o**4 - 1/2*o - o**2 = 0. What is o?
-1, 1
Suppose 1932*t - 1946*t + 28 = 0. Factor -512/5 - 2/5*z**t + 64/5*z.
-2*(z - 16)**2/5
Find s, given that 14/13*s**4 - 16/13*s**3 + 4/13*s + 4/13*s**2 - 4/13*s**5 - 2/13 = 0.
-1/2, 1
Let d(y) be the third derivative of 0 + 0*y**3 - 1/10*y**6 - 2/105*y**7 - 1/6*y**4 - 1/5*y**5 + 0*y - 29*y**2. Factor d(q).
-4*q*(q + 1)**3
Let j = 5 + -5. Suppose -4*t + 37 = -5*l, -3*t + 4*l + 208 = 179. Let -3/7*w**2 + j + 3/7*w**4 + 0*w + 0*w**t = 0. Calculate w.
-1, 0, 1
Let l be 0/((-1)/((-1)/(-2))). Let t = l - -4. Determine f, given that f**t - 6*f**2 - 8*f + 4*f**3 - 6 + 14 + f**4 = 0.
-2, 1
Let b(l) be the third derivative of l**8/120 - l**7/21 + 23*l**6/300 + l**5/150 - l**4/10 - 282*l**2. What is c in b(c) = 0?
-3/7, 0, 1, 2
Let i be (-2)/(-6) - 249/(-9). Find o such that -48*o + i + 5 - 4*o**3 + 24*o**2 - 1 = 0.
2
Let t(h) be the first derivative of h**6/6 - h**5/4 - 19*h**4/16 - 7*h**3/12 + 3*h**2/8 + 110. What is z in t(z) = 0?
-1, 0, 1/4, 3
Let o be (-2)/(-40)*248/3 - 4. Let m(i) be the second derivative of -1/21*i**7 + o*i**6 + 0 + 10*i + 1/3*i**3 + 0*i**5 + 0*i**2 - 1/3*i**4. Factor m(a).
-2*a*(a - 1)**3*(a + 1)
Let k(s) be the second derivative of s**4/60 + s**3/10 + s**2/5 - 73*s + 1. What is l in k(l) = 0?
-2, -1
Let s = 424 + -422. Suppose 0 = -0*t + 3*t - 87. What is g in -15*g**2 - g + t*g**s - 7*g - 18*g**2 = 0?
-2, 0
Let s(j) be the second derivative of -3*j - 5/2*j**2 - 5/6*j**3 + 0 + 5/6*j**4. Factor s(c).
5*(c - 1)*(2*c + 1)
Let w be ((-24)/(-40))/(-3) + (-62)/(-110). Factor -2/11*j**3 - 8/11*j**2 - w - 10/11*j.
-2*(j + 1)**2*(j + 2)/11
Suppose -13 = y + 2*p, 6 = 4*y + 4*p + 38. Let a be (-6 - (-804)/126)/((-2)/y). Suppose 8/7*j - a - 4/7*j**2 = 0. Calculate j.
1
Let s = 1267 + -1267. Factor 2/15 + s*l - 2/15*l**2.
-2*(l - 1)*(l + 1)/15
Let x = -93 + 95. Let h be x/(-3)*(-63)/56. Let 93/4*r**2 - 87/4*r**4 - h*r - 21*r**5 - 3/2 + 87/4*r**3 = 0. Calculate r.
-1, -2/7, 1/4, 1
Let b = 2189/48 + -655/16. What is c in 10/3*c**3 + 6*c**2 + 2/3*c**4 + b*c + 4/3 = 0?
-2, -1
Let a(v) = -3*v - 1. Let z = -1 - 0. Let b be a(z). Suppose 3*h**2 - 2*h**b + 0*h**2 + 2*h + 1 + 0*h**2 = 0. Calculate h.
-1
Let u = 40 + -46. Let x(a) = 4*a**5 + 6*a**4 + 6*a**3 + 6*a**2 - 6*a. Let n(l) = -l**5 - l**4 - l**3 - l**2 + l. Let m(i) = u*n(i) - x(i). Factor m(o).
2*o**5
Let u(s) be the second derivative of 1/2*s**4 + 0 + 1/20*s**5 - 3*s**2 + 0*s**3 + 6*s. Let a(g) be the first derivative of u(g). Factor a(o).
3*o*(o + 4)
Let c(m) be the first derivative of -2*m**5 - 4*m**4 - 2*m**3/3 + 2*m**2 - 252. Let c(g) = 0. What is g?
-1, 0, 2/5
Let q(j) be the third derivative of 0 + 1/240*j**6 - 1/40*j**5 - 11*j**2 + 0*j + 0*j**4 + 0*j**3. Solve q(x) = 0.
0, 3
Suppose -3*h + 4*h + 25 = -2*c, -2*c + 4*h = 20. Let y be c/(-28) - (-50)/14. Factor 3 + b**2 - y*b**2 + 0*b**2 - 3*b + 3*b**3.
3*(b - 1)**2*(b + 1)
Suppose b - 9 = -2*q, -5*b + 57 = 6*q - 2*q. Suppose -2*v - 5 = -b. Factor -98/9*z**5 + 8/9*z**2 + 0*z + 0 + 154/9*z**v - 64/9*z**3.
-2*z**2*(z - 1)*(7*z - 2)**2/9
Let g(y) be the third derivative of 0*y + 1/6*y**3 + 34*y**2 + 1/20*y**5 + 1/120*y**6 + 1/8*y**4 + 0. Factor g(u).
(u + 1)**3
Let y(a) = -a**2 + 15*a - 5. Let s(x) = 46*x**2 + 46*x**2 - 46*x + 14 - 90*x**2. Let k(u) = -3*s(u) - 10*y(u). Factor k(i).
4*(i - 2)*(i - 1)
Let m be (-4 - -4) + 31 + -31. Let 6/5*d**2 - 2/5 + 4/5*d**3 + m*d = 0. What is d?
-1, 1/2
Let u(q) be the first derivative of 5/2*q**2 + 0*q - 10/3*q**3 - 5 + 5/4*q**4. What is l in u(l) = 0?
0, 1
Let v(i) be the second derivative of i**4/15 - 2*i**3/15 - 12*i**2/5 - 9*i + 5. Factor v(t).
4*(t - 3)*(t + 2)/5
Let m(l) = l + 9. Let y be m(-7). Let j(f) be the first derivative of -2*f**2 + 5 + 27*f - y*f**2 + 6*f**2 + f**3 + 7*f**2. Determine p so that j(p) = 0.
-3
Let z(i) be the first derivative of -25*i + 15*i**2 - 5/3*i**3 - 17. Factor z(q).
-5*(q - 5)*(q - 1)
Suppose -12 = -10*z + 7*z. Suppose 0 = x - z*h - 6, -2*x - 3*x + h + 11 = 0. Solve -6*m**3 + 3*m**x + 3 - 6*m**4 - 3/2*m**5 + 15/2*m = 0 for m.
-2, -1, 1
Let j(a) be the second derivative of a**7/420 - a**6/120 - a**5/120 + a**4/24 - 3*a**2 + 11*a. Let k(f) be the first derivative of j(f). Factor k(s).
s*(s - 2)*(s - 1)*(s + 1)/2
Let t be 48/10 + -1*4/(-20). Suppose 2 = -t*f + 4*f + 4*p, 3*f - 20 = -p. What is h in 15/4*h**2 - f*h**3 - 3/4*h + 3*h**4 + 0 = 0?
0, 1/2, 1
Solve -87/5*j + 6 - 3/5*j**4 + 81/5*j**2 - 21/5*j**3 = 0 for j.
-10, 1
Let z(j) be the second derivative of -5/18*j**3 - 1/60*j**5 + 1/3*j**2 + 0 + 1/9*j**4 + 4*j. Let z(i) = 0. Calculate i.
1, 2
Let z(m) be the third derivative of m**7/840 + 11*m**6/480 - m**5/80 - 31*m**4/96 + 11*m**3/12 - 81*m**2. Determine w so that z(w) = 0.
-11, -2, 1
Let c(v) = 2*v**2 + 21*v + 12. Let p be c(-10). Let a(f) be the first derivative of 2*f - 4 + 0*f**p - 2/3*f**3. Find d, given that a(d) = 0.
-1, 1
Let m(a) be the second derivative of 0*a**2 + 15*a - 5/21*a**4 - 2/105*a**6 + 0 + 4/21*a**3 + 4/35*a**5. Factor m(t).
-4*t*(t - 2)*(t - 1)**2/7
Factor -36 - 565*l - 4*l**2 + 605*l + 0*l**2.
-4*(l - 9)*(l - 1)
Let m(g) = g**3 - 7*g**2 + 5*g. Let p be m(6). Let w be (4/p)/(10/(-135)). Let 7*t**3 - t**2 + t**4 - 2*t**4 - w*t**3 = 0. Calculate t.
-1, 0
Let y = 5/24783 + -44188129/198264. Let f = 223 + y. Determine r so that -27/8 + f*r**4 + 0*r + r**3 + 9/4*r**2 = 0.
-3, 1
Let v(s) be the third derivative of s**5/120 - 7*s**4/24 + 10*s**3/3 + 681*s**2. Suppose v(t) = 0. Calculate t.
4, 10
Let x be 0*(-14 + 23 + (-171)/18). Factor 4/3*t**2 + 5/3*t + 1/3*t**5 + x - 4/3*t**4 - 2*t**3.
t*(t - 5)*(t - 1)*(t + 1)**2/3
Let j = -20/19 + 97/38. Determine b so that 5/2*b**3 + 0*b - j*b**4 + b**2 + 0 = 0.
-1/3, 0, 2
Let t(c) = -3*c**2 - 18*c - 3. Let l(g) be the first derivative of g**3 + 17*g**2/2 + 4*g - 6. Let u(b) = -6*l(b) - 5*t(b). Let u(q) = 0. Calculate q.
-3, -1
Suppose -30*a + 30 = -20*a. Let m(v) be the first derivative of -1/8*v**2 - 1/16*v**4 + 1/6*v**a + 0*v - 4. Factor m(r).
-r*(r - 1)**2/4
Let t(d) be the third derivative of -d**5/300 + 7*d**4/10 - 294*d**3/5 - 64*d**2. Suppose t(y) = 0. What is y?
42
Find n such that 138/5 - 63/5*n - 3/5*n**2 = 0.
-23, 2
Let m(n) be the third derivative of 0*n**5 - 1/60*n**6 - 1/6*n**3 + 1/210*n**7 + 0*n + 6*n**2 + 0 + 1/12*n**4. Suppose m(a) = 0. Cal