*2 + 6*a. Suppose u(t) = 0. What is t?
-22, -1
Let r(g) be the first derivative of -6*g**5/5 - 5*g**4/2 - 3*g**3/2 - g**2/4 - 3. Suppose r(b) = 0. Calculate b.
-1, -1/2, -1/6, 0
Let d(u) be the first derivative of -3/8*u**4 + 3*u + 19 + 3/4*u**2 - 3/2*u**3 + 3/10*u**5. Factor d(q).
3*(q - 2)*(q - 1)*(q + 1)**2/2
Let a(j) = 280*j**3 + 425*j**2 + 175*j + 20. Let l(p) = 140*p**3 + 212*p**2 + 88*p + 10. Let z(i) = 3*a(i) - 5*l(i). Factor z(w).
5*(w + 1)*(4*w + 1)*(7*w + 2)
Suppose 5*m - 3*m = 10. Let x(y) = y**2 - 2*y + 1. Let g be x(3). Factor -68*b**2 - m*b**4 - b**4 - 56*b**3 - 24*b + 3*b**g - 9*b**4.
-4*b*(b + 1)*(b + 3)*(3*b + 2)
Let h(o) = -3*o**4 - 24*o**3 + 78*o**2 + 509*o - 1338. Let s(k) = -k + 3. Let p(i) = h(i) + 5*s(i). What is a in p(a) = 0?
-7, 3
Factor 0 - 1/5*t**4 + 0*t + 4/5*t**3 - 4/5*t**2.
-t**2*(t - 2)**2/5
Let b(w) = 15*w + 288. Let n be b(-19). Let u(m) be the first derivative of 0*m - 1/3*m**6 + 0*m**2 - 9 + 0*m**n - 2*m**4 - 8/5*m**5. Factor u(y).
-2*y**3*(y + 2)**2
Let s(l) = -l**3 + 2*l**2 + 5*l + 2. Let i be s(4). Let v = i - -14. Factor -8*h + 3*h**2 + h**2 - 19*h**v + 15*h**4 + 8*h**3.
-4*h*(h - 2)*(h - 1)*(h + 1)
Determine k so that -127*k**3 + 333*k**2 - 3*k**4 - 168*k - 8 - 35*k**3 + 11 - 3 = 0.
-56, 0, 1
Let i(u) be the third derivative of -u**10/680400 - u**9/54432 - u**8/22680 + u**5/20 + 3*u**2. Let w(t) be the third derivative of i(t). Factor w(m).
-2*m**2*(m + 1)*(m + 4)/9
Let d(m) = -m**4 + m**2. Let w(n) = 6*n**4 + 4*n**3 - 7*n**2 - 12*n + 9. Suppose -75 = -k - 77. Let c(v) = k*w(v) - 10*d(v). Factor c(i).
-2*(i - 1)**2*(i + 3)**2
Let h(d) be the second derivative of 7*d**6/20 + 9*d**5/10 - d**4/2 - 50*d. Factor h(y).
3*y**2*(y + 2)*(7*y - 2)/2
Let -1/2*m**4 + 0 + 6*m - 8*m**2 + 7/2*m**3 = 0. Calculate m.
0, 2, 3
Let v(u) be the second derivative of -4*u**2 + 0 + 10/3*u**3 - 4/3*u**4 + 18*u + 1/5*u**5. Determine w, given that v(w) = 0.
1, 2
Let h(f) = f**2 - 4. Let u be h(-4). Suppose 9*o - 15 = u. Factor -1/5*l**2 + 2/5*l**o + 1/5 - 2/5*l.
(l - 1)*(l + 1)*(2*l - 1)/5
Let h(v) be the second derivative of 7*v + 27/20*v**5 + 0 - 13/10*v**6 + 5/14*v**7 + 0*v**2 + 1/4*v**4 - v**3. Let h(t) = 0. What is t?
-2/5, 0, 1
Let n(p) be the third derivative of p**8/672 + p**7/210 - p**6/40 - p**5/6 - 19*p**4/48 - p**3/2 - p**2 + 5*p. Factor n(y).
(y - 3)*(y + 1)**3*(y + 2)/2
Let g(o) be the third derivative of 1/12*o**4 + 0*o**3 + 0*o - 16*o**2 + 0 + 1/30*o**5. Solve g(d) = 0.
-1, 0
Factor -5*m**3 - 121 - 24*m**2 - 86*m**2 + 355*m - 59 + 11*m**2 - 71*m**2.
-5*(m - 1)**2*(m + 36)
Let o be (-4 + 9/2)*6 - -2. Suppose 4 = -5*m + 2*u, o*m + 4*u - 8 = -0*m. Let -4/3*d**4 + 0 + 4/3*d**2 - 14/3*d**3 + 14/3*d**5 + m*d = 0. What is d?
-1, 0, 2/7, 1
Let q(j) be the second derivative of j**4/120 + 9*j**3/20 + 13*j**2/10 + 315*j. Solve q(t) = 0 for t.
-26, -1
Let t(f) = -f**2 - 1. Let b(y) = -2*y - 9. Let w be b(-5). Let m(i) = i**3 + 8*i + 1. Let o(c) = w*m(c) + 5*t(c). Solve o(v) = 0 for v.
1, 2
Let v(j) be the third derivative of -j**2 - 9/16*j**4 + 0*j**3 + 9/20*j**5 + 1/42*j**7 - 3/20*j**6 + 0*j + 0 - 1/672*j**8. Determine y so that v(y) = 0.
0, 1, 3
Suppose -36 = 2*z + 4*k, 0 = 708*k - 712*k - 36. Factor 1/2*t**3 + z*t + 0 + 1/2*t**2.
t**2*(t + 1)/2
Suppose -791*o = -804*o. Let i(q) be the third derivative of -1/114*q**4 + 0 + o*q + 2*q**2 - 1/57*q**3 - 1/570*q**5. Suppose i(l) = 0. What is l?
-1
Let j(d) be the second derivative of 3*d + 1/21*d**3 + 2*d**2 - 1/210*d**5 + 0*d**4 + 0. Let z(g) be the first derivative of j(g). Factor z(i).
-2*(i - 1)*(i + 1)/7
Let k be ((-149)/(-50) + -3)/(40/19325). Let s = 7/80 - k. Suppose -9/4 - s*r - 3*r**2 = 0. What is r?
-3, -1/4
Factor 32*o**2 - 24*o**3 - 19*o + 0*o**5 + 10*o + 0*o**3 + 4*o**5 - 3*o.
4*o*(o - 1)**3*(o + 3)
Let p(y) be the second derivative of -y**4/18 + 2*y**3/3 + 7*y**2/3 - 11*y. Determine u so that p(u) = 0.
-1, 7
Let v(t) = -6*t**3 - 54*t**2 - 294*t - 258. Let m(p) = -p**3 + p**2 + p - 5. Let s(f) = 3*m(f) - v(f). Determine x, given that s(x) = 0.
-9, -1
Let v(k) be the third derivative of k**7/735 - k**6/420 - k**5/210 + k**4/84 - 117*k**2. Find i, given that v(i) = 0.
-1, 0, 1
Determine s, given that 672*s**5 - 339*s**5 + 2*s**4 - 341*s**5 = 0.
0, 1/4
Let u be -6*(4 - (-52)/(-12)). Let m be (9 - (-185)/(-15))*(-2)/5. Determine l, given that 7/3*l**u - 4/3 - 4/3*l**3 - l**4 + m*l = 0.
-2, -1, 2/3, 1
Let u(q) be the first derivative of q**5/16 - 5*q**4/16 + 5*q**3/12 + 14*q - 18. Let p(h) be the first derivative of u(h). What is d in p(d) = 0?
0, 1, 2
Let m(p) be the second derivative of 0*p**4 + 0*p**2 - 1/15*p**5 + 0 - 3*p - 1/45*p**6 + 0*p**3. Factor m(a).
-2*a**3*(a + 2)/3
Solve 1/4*i**4 - i - i**2 + 1/4*i**3 + 0 = 0 for i.
-2, -1, 0, 2
Let v be (-18)/(-4) + (-4)/8. Let i = -1/700 + 5609/6300. Solve 4/9*j + i*j**3 + 10/9*j**2 + 0 + 2/9*j**v = 0.
-2, -1, 0
Let p = -23485/3 + 7829. Find i, given that 4/3 - 2/3*i + 4/3*i**4 - 8/3*i**2 - p*i**5 + 4/3*i**3 = 0.
-1, 1, 2
Let h(a) be the second derivative of 0 + 20*a - 1/21*a**3 + 1/21*a**4 - 2/7*a**2 + 1/70*a**5. Factor h(l).
2*(l - 1)*(l + 1)*(l + 2)/7
Let a(k) = -k**2 + 17*k - 62. Let p be a(11). Let j(l) be the third derivative of -p*l**2 + 0*l + 1/56*l**4 + 0*l**3 + 1/140*l**5 + 0. Factor j(b).
3*b*(b + 1)/7
Let d = 77/8 + -75/8. Factor -1/2*n**3 + d*n**2 + 3/8*n - 1/4 + 1/8*n**5 + 0*n**4.
(n - 1)**3*(n + 1)*(n + 2)/8
Let z(d) be the third derivative of 0*d**3 + 1/1050*d**7 + 0 + 0*d - 1/60*d**5 - 13*d**2 - 1/40*d**4 - 1/600*d**6. Suppose z(m) = 0. What is m?
-1, 0, 3
Let h(r) be the third derivative of -r**5/100 - 13*r**4/2 - 1690*r**3 + 99*r**2 + 2. Let h(v) = 0. What is v?
-130
Let s(i) = 3*i**2 + 22*i - 73. Let l(u) = -u**2 - 2*u + 6. Let d(w) = 4*l(w) + s(w). Determine y, given that d(y) = 0.
7
Let u = 831 + -828. Let d(t) be the first derivative of 12/5*t**2 + 3/20*t**4 - 2 + 12/5*t + t**u. What is p in d(p) = 0?
-2, -1
Let i(r) = 3*r**3 - 15*r**2 - 6*r - 9. Let y(n) = -n**2 - n - 1. Let w(j) = i(j) - 9*y(j). Determine l so that w(l) = 0.
0, 1
Let a be -1*(-5 - -4)*2. Suppose 0*o**a + o**2 - o**3 - 3*o**2 - o = 0. What is o?
-1, 0
Let r(y) = y**3 - 22*y**2 + 2*y - 47. Let m be r(22). Let z be 16/(-56) - (429/189 + m). Determine b, given that z - 2/9*b + 2/9*b**3 - 2/3*b**2 + 2/9*b**4 = 0.
-2, -1, 1
Let g(j) be the first derivative of -j**5/10 - 13*j**4/24 - 19*j**3/18 - 11*j**2/12 - j/3 - 61. Solve g(l) = 0 for l.
-2, -1, -1/3
Suppose 6*j = 13*j + 140. Let g be 2/(-4) - j/8. Let 0*x + 0*x**g - 2/5*x**3 + 0 = 0. Calculate x.
0
Let y(p) = 5*p**4 - 39*p**3 + 46*p**2 - 6*p + 6. Let o(s) = -10*s**4 + 79*s**3 - 91*s**2 + 11*s - 11. Let j(z) = 6*o(z) + 11*y(z). Factor j(w).
-5*w**2*(w - 8)*(w - 1)
Let t(a) be the third derivative of -a**6/80 + a**5/40 + 3*a**4/8 - 281*a**2. Let t(h) = 0. What is h?
-2, 0, 3
Let z = 695 + -692. Let y(s) be the first derivative of -10*s**2 - 6 + 16*s + 4/3*s**z. Find m such that y(m) = 0.
1, 4
Factor -k - 9/2*k**3 - 1/2*k**5 + 7/2*k**2 + 0 + 5/2*k**4.
-k*(k - 2)*(k - 1)**3/2
Factor -2/17*d**2 + 20/17 - 18/17*d.
-2*(d - 1)*(d + 10)/17
Let x = -68 + 94. Let h be 43/x - 10/65. Suppose -h*r**3 - 3/2*r**4 - 3 + 9/2*r**2 + 3/2*r = 0. What is r?
-2, -1, 1
Let k be (-245)/28 + (-7)/((-56)/96). Find c, given that k*c + 17/4*c**2 + 7/4*c**3 + 3/4 = 0.
-1, -3/7
Suppose 4*k = 4*p - 16, -2*p + 4 = -4*p. Let y = 11 + k. Solve -18*i**3 + 4*i**4 - 12*i**2 - y*i**4 - 7*i**4 - 2*i = 0.
-1, -1/4, 0
Let f(d) be the first derivative of 2*d**5/65 + 272*d**4/13 + 73984*d**3/13 + 10061824*d**2/13 + 684204032*d/13 - 215. Solve f(x) = 0 for x.
-136
Let r(p) = -2*p. Let b(o) = -2*o**2 - 10*o + 8. Let i(q) = -2*b(q) + 4*r(q). Let i(a) = 0. Calculate a.
-4, 1
Let x(d) = -7*d**2 - 73*d. Let v(y) = -10*y**2 - 109*y. Let c(j) = -5*v(j) + 7*x(j). What is s in c(s) = 0?
-34, 0
What is x in -5*x**5 - 675*x + 198*x**3 + 2*x**4 - 478*x**3 + 630*x**2 + 54 + 58*x**4 + 216 = 0?
1, 2, 3
Factor 12/7 + 12/7*i**2 - 2/7*i**3 - 22/7*i.
-2*(i - 3)*(i - 2)*(i - 1)/7
Let i = 2024/9165 - -28/611. Solve -16/15*h**2 - i*h**3 - 4/15 + 2/15*h**5 + 4/15*h**4 - 14/15*h = 0 for h.
-1, 2
Suppose 512/9*x + 28/3*x**2 + 16/3 = 0. What is x?
-6, -2/21
Let h(w) be the second derivative of -2*w**6/9 - w**5/5 + 5*w**4/9 + 2*w**3/3 + 10*w. Let h