- 6 = -v*u, -5*g = 0. Determine m so that m - 3*m - 3*m**2 + 2*m**2 + 3*m**u = 0.
0, 1
Suppose 24 = -0*z - 3*z. Let k be (2/z)/((-55)/88). Determine r, given that k*r + 0 + 2/5*r**2 = 0.
-1, 0
Let m be (50/60)/5*1. Let 1/6*j**4 - 1/3*j**2 + 0*j**3 + m + 0*j = 0. Calculate j.
-1, 1
Let -7/2*t**2 + 1/2*t**3 + 8*t - 6 = 0. Calculate t.
2, 3
Let -34/15*g**3 - 6/5*g**2 + 32/15*g + 8/5 - 2/5*g**4 + 2/15*g**5 = 0. What is g?
-2, -1, 1, 6
Let f = 244 + -252. Let l be (30/135)/(f/(-18)). Determine n, given that 1/2*n**3 - l*n - 1/2*n**2 + 1/2 = 0.
-1, 1
Let u(t) be the first derivative of t**6/45 - 4*t**5/75 - 11*t**4/30 + 16*t**3/9 - 44*t**2/15 + 32*t/15 + 167. Let u(y) = 0. Calculate y.
-4, 1, 2
Let n = 204209/23205 - 1/4641. Solve 56/5*p**2 + 4/5*p**5 + 12/5 - n*p - 24/5*p**3 - 4/5*p**4 = 0.
-3, 1
Suppose -131*w**2 - 6*w**4 + 131*w**2 + 16*w**3 - w**5 = 0. Calculate w.
-8, 0, 2
Suppose -2*z = -2, -3*v = -v - 4*z - 108. Let u be (4/v)/(4/(-48)*-3). Factor 0 + 2/7*j**2 + u*j.
2*j*(j + 1)/7
Let k be (-4)/6*(-10 + 11 + -4). Solve 2*q**3 - 6*q**2 + 6 + q**3 - q**3 + 0*q**k - 2*q = 0 for q.
-1, 1, 3
Let b(c) be the third derivative of -c**8/504 - c**7/315 + c**6/36 + c**5/90 - 2*c**4/9 + 4*c**3/9 - 69*c**2. Factor b(a).
-2*(a - 1)**3*(a + 2)**2/3
Suppose 23*f - 6 = 20*f. Suppose -3*d + u + 5 = 0, -4*d + f*u + 2 + 2 = 0. Suppose -4*a**2 + 45*a**4 + 8*a**3 - 47*a**4 - 2*a**d + 0*a**3 = 0. Calculate a.
0, 1, 2
Suppose u - 3*k = -2 - 1, -4*u - 5*k = -22. Suppose -v + 1 = -i, v + 7*i - 6 = u*i. Suppose 4*q + v*q**4 + 2*q**2 - 4*q + 0*q**3 - 4*q**3 = 0. Calculate q.
0, 1
Let c = -787/30 - -3679/30. Let o = -96 + c. Suppose 2/5*b**3 + 0*b + o*b**2 + 0 = 0. What is b?
-1, 0
Let l(c) be the first derivative of -18 + 0*c**2 + 0*c**5 + 0*c + 1/2*c**6 - 2*c**3 - 9/4*c**4. Find u, given that l(u) = 0.
-1, 0, 2
Let o(m) be the first derivative of 3*m**5/5 - 3*m**4 + 2*m**3 + 6*m**2 - 9*m + 73. Solve o(w) = 0.
-1, 1, 3
Let x(n) = 5*n**3 - 8*n**2 - 29*n - 27. Let m(c) = -6*c**2 - c**3 - 29*c - 7 + 8*c**2 + 36*c + 14. Let h(y) = -22*m(y) - 6*x(y). Factor h(f).
-4*(f - 2)*(f + 1)*(2*f + 1)
Let d be 0/(-17) + 6/16. Factor -1/8*g**3 - 1/8 - 3/8*g**2 - d*g.
-(g + 1)**3/8
Factor 25*x**2 - 25 - 5/2*x + 5/2*x**3.
5*(x - 1)*(x + 1)*(x + 10)/2
Suppose 0*t - 36 = -2*g + 5*t, 4*t - 8 = -3*g. Suppose h = 5*h + 2*p - g, -4 = -2*h - 4*p. Factor 3*q - 3*q**3 - 106*q**h + 106*q**2.
-3*q*(q - 1)*(q + 1)
Let t(f) be the second derivative of f**4/3 + 4*f**3/3 - 30*f**2 + 11*f - 3. Factor t(y).
4*(y - 3)*(y + 5)
Let u = -1147 - -1149. Factor 6/7*m - 6/7*m**3 - 4/7 + 4/7*m**u.
-2*(m - 1)*(m + 1)*(3*m - 2)/7
Let b(r) be the second derivative of r**6/165 + 7*r**5/110 + r**4/11 - 2*r - 387. Suppose b(h) = 0. Calculate h.
-6, -1, 0
Suppose -2*n - t = -41, -5*t + 7 = n - 36. Let w = n + -16. Solve 4*f**2 + 80*f**4 - 109*f**5 + 284*f**3 - 3*f**w - 41*f**2 + 32 + 9*f**5 - 112*f = 0 for f.
-1, 2/5, 2
Let h(m) be the first derivative of 16*m**4 - 160*m**3/3 + 34*m**2 - 8*m - 190. Solve h(l) = 0.
1/4, 2
Let y(u) be the first derivative of 10 + 0*u + 2/27*u**3 - 2/9*u**2. Let y(p) = 0. Calculate p.
0, 2
Let v(q) be the third derivative of -q**8/1176 + q**7/105 - q**6/28 + 3*q**5/70 + 28*q**2 + 7*q. Factor v(u).
-2*u**2*(u - 3)**2*(u - 1)/7
Suppose -r + 711 = -5*c, 3*c - 8*c = 2*r - 1347. Factor -259*j - r*j + 210*j + 1715 + 105*j**2 - 5*j**3.
-5*(j - 7)**3
Let j(p) be the second derivative of 0 + 2/5*p**5 + 0*p**2 + 11*p - 1/3*p**4 + 0*p**3. Factor j(v).
4*v**2*(2*v - 1)
Suppose 6*f = f - 20. Let z = 7 + f. Factor -15*r - r**2 + 7*r**2 + 6 + z*r**2.
3*(r - 1)*(3*r - 2)
Let c(h) be the second derivative of 2*h**3 - 9*h - 3/10*h**2 + 0 - 5*h**4. Factor c(b).
-3*(10*b - 1)**2/5
What is g in -3024/5*g - 381024/5 - 6/5*g**2 = 0?
-252
Let g = 1290/7 - 184. Suppose 0 = -52*d + 55*d - 2*a - 5, 4*d + 4*a = 20. Factor 0 + 6/7*c**2 - 4/7*c - g*c**d.
-2*c*(c - 2)*(c - 1)/7
Factor -20/3*z**3 - 2/3*z**5 - 10/3*z**4 - 2/3 - 20/3*z**2 - 10/3*z.
-2*(z + 1)**5/3
Let q(m) be the first derivative of -3*m**4/28 - 4*m**3/7 - 9*m**2/14 - 77. Factor q(a).
-3*a*(a + 1)*(a + 3)/7
Let q(c) be the first derivative of 2*c**3/33 + 2*c**2 - 208. Factor q(j).
2*j*(j + 22)/11
Let h(b) be the first derivative of 9*b**5/35 + 69*b**4/28 + 13*b**3/7 - 3*b**2/2 + 116. Determine y so that h(y) = 0.
-7, -1, 0, 1/3
Let y = -231 - -234. Let m(b) be the second derivative of -4*b + 4/3*b**2 + 1/18*b**4 + 0 + 4/9*b**y. Determine p, given that m(p) = 0.
-2
Let w(m) be the third derivative of m**8/11200 + m**7/1200 + m**6/600 + m**5/15 + 3*m**2. Let i(t) be the third derivative of w(t). Solve i(c) = 0 for c.
-2, -1/3
Let m(d) = 46*d**2 + d**3 - 2*d - 55*d**2 - 9 + 0*d**3 + 5*d. Let v be m(9). Factor -4*c**3 - 8*c**3 - v + 20*c - 6 + 32*c**2 + 0*c**3.
-4*(c - 3)*(c + 1)*(3*c - 2)
Suppose 24 - 40 = -2*t. Let u be (6 - t)*(1 - 2). Find n such that 4/3*n**u + 0*n + 4/3*n**3 + 0 = 0.
-1, 0
Suppose 1184 = -4*f + 12*f. Let 4 + 12*z**2 + f*z**3 + 12*z - 282*z**3 + 138*z**3 = 0. What is z?
-1
What is o in -47*o**3 + 55*o**3 - 10*o**3 + 16 + 20*o**2 - 34*o = 0?
1, 8
Let l(g) be the first derivative of -g**3/6 - 101*g**2 - 20402*g - 672. Solve l(y) = 0 for y.
-202
Let c(h) be the second derivative of -19*h**4/90 + 5*h**3/9 - 2*h**2/5 - 211*h. Factor c(j).
-2*(j - 1)*(19*j - 6)/15
Suppose -4*v + 72 = -124. Let i = 197/4 - v. Factor i*s - 1/2 + 1/4*s**2.
(s - 1)*(s + 2)/4
Factor -4*l + 6*l + l**2 + 4*l + 37 - 15 - 17.
(l + 1)*(l + 5)
Let a(n) be the third derivative of 0*n**3 + 12*n**2 + 0*n**4 - 1/60*n**5 + 0 + 0*n. Factor a(u).
-u**2
Let w = 659 + -656. Let u(h) be the second derivative of 1/12*h**2 - w*h - 1/36*h**3 - 1/36*h**4 + 1/60*h**5 - 1/252*h**7 + 0 + 1/180*h**6. Factor u(f).
-(f - 1)**3*(f + 1)**2/6
Let n(y) be the second derivative of y**5/60 - y**4/6 - 5*y**3/6 - 4*y**2/3 - 66*y. Factor n(w).
(w - 8)*(w + 1)**2/3
Suppose 13*h - 6*h = 0. Let w(d) be the third derivative of 0 + 1/120*d**5 + h*d**3 + 0*d + 0*d**4 + 7*d**2 - 1/240*d**6. Find k such that w(k) = 0.
0, 1
Let p be -3 - ((-912)/84 + 1). Suppose -24/7*y - p - 3/7*y**2 = 0. Calculate y.
-4
Factor -565*r**3 - 570*r**3 + 3*r**4 - 9*r**2 + 1129*r**3.
3*r**2*(r - 3)*(r + 1)
Find r such that -480 + 216*r - 3/2*r**3 - 18*r**2 = 0.
-20, 4
Let q(b) be the first derivative of -2*b**6/21 + 2*b**5/35 + 3*b**4/14 - 2*b**3/21 - b**2/7 + 209. Solve q(l) = 0.
-1, -1/2, 0, 1
Let m(c) = 2*c**2 - 53*c - 82. Let q be m(28). Let i be 92/70 + (-4)/(-14). Factor -4/5*s**q + 0 - i*s.
-4*s*(s + 2)/5
Let s = 33 + -31. Suppose 0 = 5*v + s*h - 19, 0*v + v = -3*h - 4. Factor -5*m**3 - 5/2*m**4 - v*m**2 - 1/2*m**5 - 1/2 - 5/2*m.
-(m + 1)**5/2
Let c be 8/(-600)*-10 + (-112)/(-60). Let q(g) = g**2 - 10*g + 10. Let o be q(9). Factor 4/3*a - 1/3*a**c - o.
-(a - 3)*(a - 1)/3
Suppose -8*y = -9*y + 2. Let m(f) be the second derivative of -3/4*f**y - 3*f - 3/8*f**3 - 1/16*f**4 + 0. Suppose m(g) = 0. Calculate g.
-2, -1
Suppose -6 = -8*y + 5*y. Find s such that -2*s - 2*s**3 + 4*s**y + 4*s + 3*s**4 - 7*s**4 = 0.
-1, -1/2, 0, 1
Let x(n) be the first derivative of -n**3/6 - 23*n**2 - 707. Solve x(z) = 0.
-92, 0
Factor 1/2*c**2 - 13/2*c + 0.
c*(c - 13)/2
Let z(c) be the second derivative of -7*c**5/40 - 85*c**4/12 - 209*c**3/12 - 23*c**2/2 + 3*c. Suppose z(q) = 0. Calculate q.
-23, -1, -2/7
Let v = 1/2228 - -26719/37876. Solve 2/17*q**2 + 10/17 - v*q = 0 for q.
1, 5
Let u(v) = 12*v**2 + 4*v - 3. Let c be u(1). Let t = -7 + c. Factor a**5 + 7*a**2 - 8 - a**4 + 21*a + 3*a**2 - 2*a**4 + 17 - t*a**3.
(a - 3)**2*(a + 1)**3
Let l be (-48)/(-5) - (-8 - (-228)/30). Factor l*i + 12 + 12*i**2 - 4*i**2 - 6*i**2.
2*(i + 2)*(i + 3)
Let q(v) be the second derivative of v**4/66 - 32*v**3/33 + 60*v**2/11 + 2*v + 67. Factor q(x).
2*(x - 30)*(x - 2)/11
Let f(z) = -11*z**3 + 32*z**2 - 8*z - 15. Let y(u) = -u**3 + 2*u**2 + 1. Let q(v) = -2*f(v) + 18*y(v). Suppose q(t) = 0. Calculate t.
-1, 2, 6
Let j(p) = p**3 - 10*p**2 - 17*p + 69. Let m be j(11). Factor -3 + m*b - 3/4*b**2.
-3*(b - 2)**2/4
Let b = -586/5 + 1177/10. Factor -3/2*q - b - 3/2*q**2 - 1/2*q**3.
-(q + 1)**3/2
Suppose 52*a = 42*a + 300. Let u be 36/10 - (a + -28). Let -14/5*p**2 + u + 0*p - 6/5*p**3 = 0. What is p?
-2, -1, 2/3
Let d(l) be the third derivative of l**7/105 - l**6/30 - l**5