26*o**7/105 + 11*o**6/10 - o**5/5 - o**4/3 + 153*o**2. Determine t, given that u(t) = 0.
-2, -1/5, 0, 1/3, 1
Let x = -329 - -321. Let y be x/2*(1 - (-171)/(-90)). Determine d, given that -32/5 - 2/5*d**3 - 48/5*d - y*d**2 = 0.
-4, -1
Let q(n) = n + 1. Let z(g) = -2*g**3 + 2*g**2 - 2*g - 2. Let h(t) = -2*q(t) - z(t). Solve h(d) = 0.
0, 1
Let i(w) be the first derivative of -w**6 - 346*w**5/5 + 417*w**4/2 - 122*w**3 - 178*w**2 + 240*w - 1641. Find a such that i(a) = 0.
-60, -2/3, 1
Let c(v) be the second derivative of -v**5/60 - v**4/36 + 2*v**3/3 + 3*v. Factor c(q).
-q*(q - 3)*(q + 4)/3
Let d(n) be the second derivative of n**4/120 - 14*n**3/5 + 163*n**2/4 + 380*n. What is f in d(f) = 0?
5, 163
Let b = -76 - -79. Let i(u) be the first derivative of -746*u**b + 2430*u**2 - 3645*u + 35*u**4 + 2*u**5 + 2 - 3*u**5 + 296*u**3. Let i(g) = 0. What is g?
1, 9
Suppose 3*g = 76 + 104. Let l = -58 + g. Solve -36*b - 4*b**3 - 12 + 21 + 24*b**l - 9 = 0.
0, 3
Determine p, given that 20*p + 0 + 13/4*p**3 - 14*p**2 - 1/4*p**4 = 0.
0, 4, 5
Let i(k) be the first derivative of k**7/21 + 2*k**6/5 + 9*k**5/10 + 2*k**4/3 - 70*k + 70. Let x(d) be the first derivative of i(d). Find t such that x(t) = 0.
-4, -1, 0
Let m be 2 - -2 - 44/(-4). Suppose m*w - 11*w = 16. Suppose 10*r**4 - 23*r**4 + 15*r**w + 2*r**5 - 8*r**2 - 8*r**3 = 0. What is r?
-2, -1, 0, 2
Let c(r) = -18*r + 3046. Let x be c(169). Let d(i) be the second derivative of 25*i + 1/9*i**3 + 0 + 1/72*i**x - 5/12*i**2. Find b, given that d(b) = 0.
-5, 1
Let c(q) = -q**3 + 152*q**2 - 4969*q - 2388. Let m be c(104). Find u, given that -324/11*u**2 - 114/11 + 96/11*u**3 + 6/11*u**m + 336/11*u = 0.
-19, 1
Let p(b) = -287*b**2 + 276*b + 11. Let c be p(1). Let -2/19*x**4 - 8/19*x**3 + c - 6/19*x**2 + 0*x = 0. What is x?
-3, -1, 0
Let l = -48 - -42. Let m(q) = -q**2 - 17*q - 15. Let k be m(l). Let 7*g**2 - 2*g**4 + 2*g + 51 + 7*g**4 - k + 9*g**3 + g**5 = 0. What is g?
-2, -1, 0
Let y(z) be the third derivative of -z**9/241920 + z**8/26880 - 11*z**5/20 - 20*z**2. Let s(u) be the third derivative of y(u). Factor s(d).
-d**2*(d - 3)/4
Let o = -111 - -114. What is q in -q**4 - 2*q**2 - 43*q**3 - 5*q**2 + 48*q**o + 3*q**2 = 0?
0, 1, 4
Let y(q) = -3*q**2 - 120*q - 424. Let l be y(-4). Let x(r) be the first derivative of -2/15*r**3 - r**2 - 12/5*r - l. Factor x(n).
-2*(n + 2)*(n + 3)/5
Let o(l) be the second derivative of -l**7/42 - 9*l**6/5 + 239*l**5/10 - 93*l**4 + 9*l**3/2 + 837*l**2 + 113*l + 9. Factor o(x).
-(x - 3)**3*(x + 1)*(x + 62)
Factor 106*p**3 + 184*p**2 + 1785*p + 77 + 59*p**3 + 856*p**2 + 373.
5*(p + 3)**2*(33*p + 10)
Let t(r) = r**3 + 3*r**2 + 19*r + 31. Let k be t(-2). Let d be k/(-2) - 2/((-20)/25). Factor 2/3*x**3 - 2/3*x + 0 - 1/3*x**d + 1/3*x**2.
-x*(x - 2)*(x - 1)*(x + 1)/3
Solve 288/11 + 2/11*z**2 - 50/11*z = 0 for z.
9, 16
Let v(z) be the third derivative of z**6/720 + 19*z**5/45 + 6901*z**4/144 + 4489*z**3/2 + z**2 + z + 1820. Factor v(d).
(d + 18)*(d + 67)**2/6
Let t(h) be the first derivative of 5*h**4/36 + 25*h**3/9 + 125*h**2/6 - 138*h + 14. Let k(p) be the first derivative of t(p). Factor k(s).
5*(s + 5)**2/3
Factor -111/4*s + 30 - 3*s**2 + 3/4*s**3.
3*(s - 8)*(s - 1)*(s + 5)/4
Let i = 3493299/5 + -698659. Suppose 0 + i*y**2 - 4/5*y = 0. What is y?
0, 1
Let x(m) be the third derivative of m**6/60 - 2*m**5/15 - 13*m**4/4 + 42*m**3 - 12*m**2 + 261. Factor x(t).
2*(t - 7)*(t - 3)*(t + 6)
Let s(h) = -7*h**3 - 8*h**3 - 42 - 2 - 11*h - 6 + 136*h. Let o(u) = 2*u**3 + 5*u - 6*u - 17*u + 7. Let i(w) = -20*o(w) - 3*s(w). Factor i(t).
5*(t - 1)**2*(t + 2)
Let w(r) be the first derivative of -r**6/1260 + r**5/420 - 20*r**3 + 56. Let j(s) be the third derivative of w(s). Factor j(y).
-2*y*(y - 1)/7
Let f = 25 - 11. Let d = f + -8. Let h(a) = -14*a**2. Let z(x) = 5*x**2. Let b(c) = d*h(c) + 17*z(c). Factor b(i).
i**2
Let w be (1 + 3 - 28/2)*-4. Factor 12 - 36 - 18*v**2 - 27*v**3 + 25*v**3 - w*v.
-2*(v + 1)*(v + 2)*(v + 6)
Let v = -129839/493 - -7641/29. Factor -36/17*l + v*l**3 + 0 - 14/17*l**2.
2*l*(l - 9)*(l + 2)/17
What is w in -231*w + 2*w**2 - 2270 + 690 + 1806*w - w**2 + 4*w**2 = 0?
-316, 1
Let w(u) be the second derivative of u**5/130 + u**4/26 - 2*u**3/13 - 8*u**2/13 - 20*u - 3. Factor w(c).
2*(c - 2)*(c + 1)*(c + 4)/13
Suppose 2*h = 2*b - 7*b + 4, 3*b + 60 = 4*h. Suppose 0 = -4*s + 2*s - 4*g + 40, -5*s - g = -145. Factor -14*z - 2*z**2 - h*z - 3*z**2 + z - s.
-5*(z + 2)*(z + 3)
Let k(i) = 110*i + 5. Let n be k(0). Let a(u) be the second derivative of 25/12*u**4 + 0 - 45/2*u**2 - 5/2*u**3 - 1/4*u**n - 8*u. What is p in a(p) = 0?
-1, 3
Let z = -60 + 67. Suppose h = -5*l + 17, 4*l - z - 1 = 2*h. Factor -2*t**h - 15 + 5*t**2 + 7 - 1 + 6*t.
3*(t - 1)*(t + 3)
Let f be (-2)/(1 + (-1309)/1321). Let v = -220 - f. Solve -2/3*l + 1/3*l**2 + 4/3*l**3 - 2/3*l**5 - v - 1/6*l**4 = 0 for l.
-1, -1/4, 1
Let j(x) be the first derivative of -x**6/240 + x**5/40 - x**3 + 3*x**2/2 + 16. Let l(p) be the third derivative of j(p). Solve l(i) = 0.
0, 2
Let u(q) = 23*q**2 + 14*q + 144. Let l(g) = 54*g**2 + 30*g + 285. Let k(t) = -3*l(t) + 7*u(t). Let k(x) = 0. What is x?
-9, 17
Let b = -14 - -21. Suppose -w + b = 6. Let a(x) = -2*x**3 + 2. Let i(r) = r**4 - r**2 - r + 1. Let l(t) = w*a(t) - 2*i(t). Find q such that l(q) = 0.
-1, 0, 1
Determine h, given that 12*h + 13/4*h**4 + 23*h**2 + 1/4*h**5 + 0 + 14*h**3 = 0.
-6, -4, -2, -1, 0
Let z be (10 + -7)/(6/10). Suppose 0 = 3*j - z*h - 65, -j + 4*j = -5*h + 85. Factor 10*k**3 - 7*k**4 + k - 9*k**4 - 11*k + j + 15*k**4 - 24*k**2.
-(k - 5)**2*(k - 1)*(k + 1)
Suppose 0 = 143*j - 150*j + 700. Let x be (8/j)/(2/10). Factor 0*c - x*c**3 - 2/5*c**2 + 0.
-2*c**2*(c + 1)/5
Let y = 69775 - 69773. Factor -5/3*m**y + 5*m + 0.
-5*m*(m - 3)/3
Suppose 5*o + 21 = 3*u, 6*o - 53 = 2169*u - 2170*u. Let n(s) be the first derivative of -4*s**3 + 0*s**2 + 0*s + 7*s**4 + u - 8/5*s**5. Factor n(a).
-4*a**2*(a - 3)*(2*a - 1)
Factor -8*m**2 + 167*m - 48 + 145 + 71 - 25*m**2 + 32*m**2.
-(m - 168)*(m + 1)
Let t(u) = 5*u**2 + 50*u - 110. Let o(a) = -35*a**2 - 350*a + 765. Suppose -17*q - 60 = 13*q. Let c(i) = q*o(i) - 15*t(i). Find p such that c(p) = 0.
-12, 2
Let m(c) = -13*c**2 + 355*c - 354. Let v(g) = 14*g**2 - 356*g + 355. Let u(n) = 13*m(n) + 12*v(n). Factor u(x).
-(x - 342)*(x - 1)
Let m(c) be the third derivative of c**8/120960 + c**7/1080 + 21*c**5/20 - 59*c**2. Let o(z) be the third derivative of m(z). Suppose o(s) = 0. What is s?
-28, 0
Let k(n) be the third derivative of 15*n**2 + 0 - 1/32*n**4 - 1/16*n**3 - 1/160*n**5 + 0*n. Factor k(j).
-3*(j + 1)**2/8
Let i be 15 - -6*(-12)/18. Factor -5 + 5 - 25*b - i - 1 - 8 - 5*b**2.
-5*(b + 1)*(b + 4)
Suppose 6/11*p**2 + 4/11*p**3 + 16/11 - 36/11*p = 0. What is p?
-4, 1/2, 2
Let g = 2987 - 20903/7. Let k be (-4)/(-7) - -1 - 1. Suppose g*v + 0*v**2 - k - 2/7*v**3 = 0. Calculate v.
-2, 1
Let u(x) = 5*x**2 - 4*x. Suppose 0 = -o - 3, 13*m + 4*o = 10*m - 3. Suppose -2*z + 2 + 22 = 0. Let t(g) = -g**2 + g. Let a(s) = m*u(s) + z*t(s). Factor a(v).
3*v**2
Let v = 758157 + -2273315/3. Factor 34/3*n + 1/12*n**2 + v.
(n + 68)**2/12
Let t(p) be the second derivative of p**8/840 + p**7/175 - p**6/75 - 12*p**2 - 9*p - 5. Let z(m) be the first derivative of t(m). Solve z(f) = 0 for f.
-4, 0, 1
Let d = -194111/48 + 4044. Let p(q) be the second derivative of -1/12*q**3 + 0*q**2 + 0 - d*q**4 - 4*q. Solve p(h) = 0.
-2, 0
Let o = 124 - 126. Let y(a) = 2*a**3. Let d(x) = -6*x**3 - 8*x**2 - 10*x - 4. Let r(l) = o*y(l) - d(l). Factor r(q).
2*(q + 1)**2*(q + 2)
Let d be (-11 + 2553/253)*(-1 - 54). Let j(z) be the first derivative of d*z + 2/3*z**3 - 20 - 10*z**2. Find q, given that j(q) = 0.
5
Let i = -89 + 134. Determine u so that 4*u + 59 - 2*u - 14*u**2 - i - 2*u**3 = 0.
-7, -1, 1
Let s(n) = 19*n + 1009. Let b be s(-53). Suppose -2*q = -3*z + 12, -z = 3*z - b*q - 14. Let 0 + 1/4*x - 3/4*x**3 - 1/2*x**4 + 0*x**z = 0. Calculate x.
-1, 0, 1/2
Let j(v) be the third derivative of v**8/2016 + 13*v**7/420 + 29*v**6/45 + 133*v**5/45 - 49*v**4 + 1372*v**3/9 + 115*v**2. Factor j(c).
(c - 2)*(c - 1)*(c + 14)**3/6
Let g be 4/6 - (-80)/6 - 3. Suppose g*k = 8*k + 78. Suppose -k + 11 + 10 + 5*r**2 = 0. Calculate r.
-1, 1
Let p(t) be the second derivative of -2*t**6/15 + 254*t**5/5 - 84*t*