3*s = 0.
-28, -2, -1
Let l(j) = 1059*j + 44480. Let k be l(-42). Solve 0 + 2/5*i**k - 4/5*i = 0 for i.
0, 2
Let p(c) be the third derivative of 17/120*c**5 + 17/480*c**6 + 1/4*c**3 + 0*c + 25/96*c**4 + 1/420*c**7 + 0 + 62*c**2. Factor p(g).
(g + 1)**2*(g + 6)*(2*g + 1)/4
Let j = 393869 + -393869. Factor -f**3 - 3/4*f**2 - 1/4*f**4 + j + 0*f.
-f**2*(f + 1)*(f + 3)/4
Let a(x) be the second derivative of -3*x**3 - 179*x**2 + 42*x + 2. Let s be a(-20). Factor -2/3*m + 2/3*m**s - 4/3.
2*(m - 2)*(m + 1)/3
Factor 1/2*h**4 + 0 + 7/2*h**3 - 20*h**2 - 50*h.
h*(h - 5)*(h + 2)*(h + 10)/2
Let k(u) be the second derivative of 7*u**3 - 39/2*u**2 - 1/4*u**4 + 7*u + 0. Factor k(x).
-3*(x - 13)*(x - 1)
Suppose 526/5*l**3 + 1/5*l**5 + 46/5*l**4 - 136/5*l**2 + 1058/5 - 299*l = 0. What is l?
-23, -2, 1
Let d(v) be the third derivative of -43*v**5/6 - 435*v**4/8 - 15*v**3/2 + 4*v**2 - v - 87. Solve d(k) = 0.
-3, -3/86
Let r(k) be the third derivative of k**5/180 - 37*k**4/24 - 7465*k**2. Factor r(w).
w*(w - 111)/3
Let h(n) be the first derivative of n**4/4 - 338*n**3 + 2025*n**2/2 - 1012*n - 9811. Factor h(j).
(j - 1012)*(j - 1)**2
Suppose 12*t + 7 = 43. Suppose 6 = 3*a + 5*l - 1, 7 = a - 3*l. Solve 3*w**2 + w + t*w**a + 3*w**3 - 2*w**4 - 2*w**2 + 2*w**2 = 0.
-1, 0
Let n be (0 - 8 - (-795)/106)*-8 - 2. Suppose 1/6*m**n + 121/6 - 11/3*m = 0. What is m?
11
Let l = -179 + 181. Factor -40 - 14*q**3 - 21*q**3 + 151*q - 251*q + 130*q**l.
-5*(q - 2)**2*(7*q + 2)
Suppose 69/5*l**3 - 384/5*l + 1/5*l**4 + 314/5*l**2 + 0 = 0. Calculate l.
-64, -6, 0, 1
Let w = -148 - -148. Suppose -12*q = -9*q - o - 6, w = -q - 5*o + 2. Factor 42/5*d**3 + 4/5*d - 34/5*d**4 + q*d**5 + 0 - 22/5*d**2.
2*d*(d - 1)**3*(5*d - 2)/5
Let z(m) be the third derivative of 1/80*m**5 + 0*m**3 - 3/320*m**6 + 24*m**2 + 0 + 1/560*m**7 + 0*m + 0*m**4. Factor z(f).
3*f**2*(f - 2)*(f - 1)/8
Let x(r) be the third derivative of 0*r - 40*r**2 + 0 + 1/300*r**5 - 1/15*r**3 - 1/120*r**4. Solve x(f) = 0 for f.
-1, 2
Let h(a) be the second derivative of 3*a**3/2 + 3*a. Let y(u) = -6313 - 18*u + 6313 + u**2. Let r(o) = -7*h(o) - 3*y(o). Find p, given that r(p) = 0.
-3, 0
Let c = -45/163 - -433/978. Let m = 47 + -44. Factor 0 + 1/3*i + 1/6*i**5 - c*i**4 + 1/6*i**2 - 1/2*i**m.
i*(i - 2)*(i - 1)*(i + 1)**2/6
Let a(k) be the second derivative of -361/3*k**4 + 896/3*k**3 - 392*k**2 + 2/21*k**7 + 130*k - 38/15*k**6 + 127/5*k**5 + 0. Solve a(h) = 0.
1, 2, 7
Let x be 52/(-182)*(-4 - 10). Let w(b) be the first derivative of -4/35*b**5 + 5 - 12/7*b - 16/7*b**3 + 6/7*b**x + 20/7*b**2. Factor w(a).
-4*(a - 3)*(a - 1)**3/7
Let w(o) be the first derivative of -o**3/3 + 22*o**2 - 195*o + 3409. Let w(t) = 0. Calculate t.
5, 39
Let s be ((-504)/15288)/((-3)/312). Factor -16/7*i**2 + 10/7*i**3 - s*i + 0 + 2/7*i**4.
2*i*(i - 2)*(i + 1)*(i + 6)/7
Let u(r) be the third derivative of 3 - 17/120*r**4 + 0*r + 3/5*r**3 + r**2 - 1/300*r**5. Suppose u(o) = 0. Calculate o.
-18, 1
Suppose -2*n = -2*y - 8, -435*y = -432*y + 4*n - 37. Let b(i) be the first derivative of -3*i**2 + 8*i - 2/3*i**y - 18. Factor b(k).
-2*(k - 1)*(k + 4)
Factor 0 - 4/7*n**4 - 2092/7*n**3 - 274572/7*n**2 - 272484/7*n.
-4*n*(n + 1)*(n + 261)**2/7
Find z, given that -5*z + 53*z - 50*z + 54*z + 76*z + 4*z**2 + 240 = 0.
-30, -2
Let n(z) be the first derivative of -z**6/15 - 6*z**5/5 - 33*z**4/5 - 32*z**3/3 + 1636. Solve n(i) = 0 for i.
-8, -5, -2, 0
Suppose -132 = 7*w - 40*w. Factor -4*a**2 - 28*a**4 - 36*a**3 + 12*a + w*a + 63*a**2 - 11*a**2.
-4*a*(a - 1)*(a + 2)*(7*a + 2)
Let q = 1296 - 202175/156. Let u(x) be the third derivative of -18*x**2 + 0 - q*x**4 + 0*x**3 + 1/780*x**6 + 0*x + 0*x**5. Factor u(n).
2*n*(n - 1)*(n + 1)/13
Let y(d) = -7*d**3 + 15*d**2 + 4*d - 6. Let m be y(3). Let p be (-9)/(-10)*(-64)/m. Factor -18/5*l - p*l**3 - 4/5 - 4*l**2.
-2*(l + 1)*(l + 2)*(3*l + 1)/5
Let x(o) be the first derivative of 1/2*o**4 + 4*o + 2/5*o**5 + 70 - o**2 - 2*o**3. Suppose x(d) = 0. Calculate d.
-2, -1, 1
Suppose 2*m + 14 = 3*c + 62, m - 4*c = 29. Let b = m - 14. Let -66*u**2 - b + 15*u + 1 - 13*u + 32*u + 46*u**3 - 8*u**5 = 0. Calculate u.
-3, 1/2, 1
Let q = -8610 - -5074. Let u be 4/(-18) + q/(-117). Factor u*x**2 + 0 + 9*x + 6*x**2 - 6 + 21*x**3.
3*(x + 1)**2*(7*x - 2)
Let v(c) be the first derivative of -7/5*c**5 - 3*c - 1/6*c**6 - 85 - 13/2*c**2 - 9/2*c**4 - 22/3*c**3. Solve v(a) = 0 for a.
-3, -1
Let s = -153 + 115. Let b = s + 39. Let 4 - 162*i**2 + 2*i + 161*i**2 - b = 0. What is i?
-1, 3
Determine f, given that 437*f**2 + 3*f**3 - 234*f**2 - 239*f**2 + 60*f = 0.
0, 2, 10
Let k be (-6 + (-1162)/(-175))/((0 + (-18)/30)/(-3)). Suppose -2/5*q**3 - 14/5*q**2 + 0 + k*q = 0. Calculate q.
-8, 0, 1
Let 0 - 88*m - 28/3*m**3 - 932/3*m**2 = 0. What is m?
-33, -2/7, 0
Let k(z) = 8*z**3 - 62*z**2 - 428*z + 440. Let y(j) = -23*j**3 + 172*j**2 + 1283*j - 1320. Let t(h) = -8*k(h) - 3*y(h). Find i, given that t(i) = 0.
-8, 1, 11
Let s(d) = 3*d**4 + 6*d**3 + 7. Let y(h) be the second derivative of -h**6/10 - 3*h**5/10 - 3*h**2 - 4*h + 13. Let o(m) = -6*s(m) - 7*y(m). Factor o(n).
3*n**3*(n + 2)
Let j be 36/(-48) + 1510/200. Find w such that -2/5*w**3 + 16/5*w**2 + 4 - j*w = 0.
1, 2, 5
Suppose d - 2 = o, 10*d - 3*o + 2 = 9*d. Let 30*j**4 - 28*j**5 - 44*j**d - 124*j**2 - 19*j**4 - 99*j**4 - 212*j**3 + 16 = 0. What is j?
-2, -1, 2/7
Let p(w) be the first derivative of -56*w**2 - 784*w - 17 - 4/3*w**3. Factor p(y).
-4*(y + 14)**2
Suppose 4*f + 299 - 95 = 4*r, 2*f = 0. Suppose 4*x + 6 = -t, -r + 43 = 4*x. Find g, given that 4/3 - 2/3*g**3 - 2/3*g**4 + 2*g**t + 10/3*g = 0.
-1, 2
Let x = 31736/2769 + -449/39. Let q = x - -1595/639. Determine j so that -q*j + 4/3 + 2/9*j**3 + 8/9*j**2 = 0.
-6, 1
Let t(n) be the first derivative of 40*n**2 + 86 + 30*n**4 + 0*n - 8*n**5 - 160/3*n**3 + 5/6*n**6. Factor t(f).
5*f*(f - 2)**4
Suppose 4*v - 5*s - 14 - 21 = 0, -v - s + 2 = 0. Suppose n = 5 - 2. Find t such that n*t**4 + 5*t**4 - t**5 + 4*t**2 - v*t**3 - 2*t**2 - 4*t**4 = 0.
0, 1, 2
Let t be 87*((-1175)/(-47))/725. Factor 141/4*c**2 - 11/2*c**t + 25 - 55*c + 1/4*c**4.
(c - 10)**2*(c - 1)**2/4
Let d = -85697/2 + 214243/5. What is c in -1/2 - d*c**3 + 1/2*c**2 + 1/10*c = 0?
-1, 1, 5
Let x(u) be the first derivative of -14/5*u**5 + 10*u - 5*u**4 + 4/3*u**3 - 46 + 11*u**2 - 1/3*u**6. Find y such that x(y) = 0.
-5, -1, 1
Let r(j) be the third derivative of -j**7/1260 - j**6/360 + j**5/24 + j**4/4 - 680*j**2. Factor r(d).
-d*(d - 4)*(d + 3)**2/6
Let w(g) = -127*g - 736. Let h be w(6). Let u = h - -1502. Determine m, given that -10/3*m - u + 2/3*m**2 = 0.
-1, 6
Let n(h) be the first derivative of -7*h**4/34 - 46*h**3/51 - 25*h**2/17 - 18*h/17 + 4118. Suppose n(j) = 0. What is j?
-9/7, -1
Let o = 28431 + -28429. What is p in -4/9 + 2/9*p**4 - 2/3*p + 2/9*p**o + 2/3*p**3 = 0?
-2, -1, 1
Let o(v) be the second derivative of -3/160*v**5 + 0 + 76*v + 5/16*v**3 + 1/32*v**4 + 9/16*v**2. Determine k, given that o(k) = 0.
-1, 3
Find p, given that 410/13 + 2/13*p**2 - 92/13*p = 0.
5, 41
Let i be (5 - (2 + -1)) + (-36)/18. Factor -2*z**i - 6 + 5*z**2 + 9*z - 30 + 6.
3*(z - 2)*(z + 5)
Let o(z) be the first derivative of 25 - 60*z - 24*z**2 - z**3 + 3/4*z**4. What is b in o(b) = 0?
-2, 5
Suppose -b = 5*h - 14 - 2, -2*b - 3*h + 39 = 0. Suppose 4*a = 4*g, 5*g + 22*a = 20*a + b. Suppose -3/2*t**2 + 3/4*t + 0 + 3/4*t**g = 0. Calculate t.
0, 1
Let i = 41211/5 + -8241. Let y(t) be the first derivative of -18/5*t + 10 + i*t**2 + 8/5*t**3 - 6/25*t**5 - 3/5*t**4. Find a such that y(a) = 0.
-3, -1, 1
Let c(x) be the first derivative of x**4/16 + 28*x**3/3 - 175*x**2/2 + 236*x + 435. Factor c(v).
(v - 4)*(v - 2)*(v + 118)/4
Let k(y) be the first derivative of 1/5*y**5 + 1/6*y**6 + 44 + 0*y**2 - 1/2*y**4 + 0*y + 0*y**3. Solve k(q) = 0 for q.
-2, 0, 1
Suppose 403*u - 5*r + 26 = 406*u, -10 = 3*u - 4*r. Let o(b) be the third derivative of 4/15*b**3 + 0 + 1/75*b**5 + 10*b**u + 0*b - 1/10*b**4. Factor o(c).
4*(c - 2)*(c - 1)/5
Let r(h) be the third derivative of 13*h**6/120 + 2*h**5/5 - h**4/6 + 562*h**2. Find k such that r(k) = 0.
-2, 0, 2/13
What is m in -m**4 - 63/2*m**3 - 491/2*m**2 - 315*m - 100 = 0?
-20, -10, -1, -1/2
Let a(m) be the third derivative of m**6/120 - m**5/30 - 71*m**4/24 + 12*m**3 + m**2 + 1230. Factor a(u).
(u - 9)*(u