 Suppose 22*o - 31 = 277. Let -8*n**3 - o*n**3 + 10*n**2 + 20*n**4 - 5*n**d - 3*n**3 = 0. Calculate n.
0, 1, 2
Factor -65/2*s**4 + 135/4*s - 90*s**3 + 0 - 15/4*s**5 - 135/2*s**2.
-5*s*(s + 3)**3*(3*s - 1)/4
Find o, given that 0 + 2/11*o**3 + 48*o + 530/11*o**2 = 0.
-264, -1, 0
Let v = 2240/23 + -11108/115. Factor 0 - 9/5*b - 7*b**2 + v*b**3.
b*(b - 9)*(4*b + 1)/5
Let v be 31/7 + -4 + 2 + (-252)/(-441). Let 0 + 5/2*s**3 + 1/2*s - v*s**2 = 0. What is s?
0, 1/5, 1
Find a, given that 0 + 4*a - 7/3*a**3 - 2/3*a**4 + 8/3*a**2 + 1/3*a**5 = 0.
-2, -1, 0, 2, 3
Let f(s) be the second derivative of -s**5/20 - 21*s**4/4 - 245*s**3/2 - 2401*s**2/2 + 13905*s. Factor f(n).
-(n + 7)**2*(n + 49)
Let u = -1640888 + 1640893. Solve 0 - 5*z**4 + 9/2*z - 1/2*z**u - 4*z**3 + 5*z**2 = 0.
-9, -1, 0, 1
Let y(o) be the third derivative of -o**6/240 + 2*o**5/15 - 25*o**4/16 + 9*o**3 + 3*o**2 + 34. Factor y(l).
-(l - 9)*(l - 4)*(l - 3)/2
Let h be ((-4)/(-6))/(-3 - (-57)/18). Let l be -6 + h + (6 - 4). Suppose 0*s + 8/5*s**4 + 4/15*s**2 + l - 2/3*s**5 - 6/5*s**3 = 0. What is s?
0, 2/5, 1
Let h(s) be the first derivative of -s**5/60 - 5*s**4/6 - 25*s**3/2 + 239*s - 89. Let r(a) be the first derivative of h(a). Let r(x) = 0. Calculate x.
-15, 0
Let x be 10 + (-3)/((-2)/16*6). Let n be (-4)/6 - 2/(-6)*x. Factor -2*r - 9*r - n + 5*r - 2*r**2.
-2*(r + 1)*(r + 2)
Let n(s) be the first derivative of -93*s**2/2 + 5*s + 13. Let y be n(-1). Factor 5*c**2 - 35*c - 3*c**2 + 7*c + y.
2*(c - 7)**2
Let x(o) be the first derivative of -4/15*o**5 - 16*o - 66 - 2*o**4 + 32/3*o**2 + 4/3*o**3. Solve x(r) = 0.
-6, -2, 1
Let j(a) be the second derivative of -a**6/30 + a**5/4 + 23*a**4/3 - 16*a**3 - 1103*a. Find p, given that j(p) = 0.
-8, 0, 1, 12
Let d be -4 + 56/16 - 2/4. Let n be (-2 - d)/((-3)/33). Factor n + 16*b + 21 + 0 + 2*b**2.
2*(b + 4)**2
Let w(f) be the second derivative of -f**5/20 + 25*f**4/6 - 16*f**3 - 100*f + 6. Factor w(j).
-j*(j - 48)*(j - 2)
Let t(n) = -2*n**2 - 13*n - 16. Let y be t(-4). Let c = 239 + -2138/9. Find o such that -7/9*o**3 + 1/9*o**y - c*o + 4/9 + 5/3*o**2 = 0.
1, 4
Let f be ((-2)/(-44))/((-534)/(-3916)). Solve -f*u**2 - 8/3*u - 4 = 0 for u.
-6, -2
Let t = 235 - 203. Let u be (2*3/(-24))/((-2)/t). Factor 1/4*b**2 - 9/8 + 1/2*b**3 - 1/8*b**u - 3/2*b.
-(b - 3)**2*(b + 1)**2/8
Suppose 6 = 4*t - t. Solve -1509*h**3 - 4*h + 1524*h**3 + 4*h**2 + 4*h**4 + 8*h**t = 0.
-2, 0, 1/4
Let a(j) = -12*j + 18 - 53 + 24 + j**2. Let v be a(13). Factor 12*u + 85*u**2 + 14 - 40*u**2 - 2 - 42*u**v.
3*(u + 2)**2
What is l in -8362/3*l**2 - 2/9*l**4 + 0 - 25538/9*l + 50*l**3 = 0?
-1, 0, 113
Let j be -5*((-2)/10)/(-1*(-6)/18). Let n(r) be the first derivative of -9/28*r**4 + r**j + 0*r**2 - 12/7*r - 8. Solve n(p) = 0.
-2/3, 1, 2
Let n be ((-2)/3)/(-4 + 1). Let s be ((-10080)/38880)/(7/(-6)). Factor n*a - 4/9 + 4/9*a**2 - s*a**3.
-2*(a - 2)*(a - 1)*(a + 1)/9
Let v = -2011/14 + 1009/7. Suppose -v*o**3 - 13/2*o**2 - 11/2 - 23/2*o = 0. Calculate o.
-11, -1
Let m = -17 - -32. Suppose -b - 10 = -d, d + 3*b - m = 5*b. Factor 2*u**2 + 5*u**3 + 2*u**d - 7*u**3 + 0*u**5 + u - u**5 - 1 - u**4.
(u - 1)**3*(u + 1)**2
Let d(l) be the second derivative of l**5/30 - 149*l**4/18 + 146*l**3/3 - 2397*l. Factor d(b).
2*b*(b - 146)*(b - 3)/3
Suppose -71*p + 53 = -21*p - 97. Factor -15/2*f**2 - 3/2*f**p + 39/2*f - 21/2.
-3*(f - 1)**2*(f + 7)/2
Let v(u) = -33*u + 338. Let m be v(13). Let g be (m/(-39) + -2)/(14/36). Suppose 9/7*o**4 - 3/7*o**2 + 0 + g*o**3 + 0*o = 0. Calculate o.
-1, 0, 1/3
Suppose 17*l + 13*l - 120 = 0. Let r be (-12)/l + 0 + (-60)/(-16). Suppose 3*c**2 + r + 15/4*c = 0. What is c?
-1, -1/4
Let t(z) be the third derivative of -z**8/5040 + 2*z**7/315 + z**6/20 + 4*z**5/15 - 3*z**2 + 4. Let q(h) be the third derivative of t(h). Factor q(m).
-4*(m - 9)*(m + 1)
Let a be 9035/260 + -34 + (-2)/(-4). Factor a*f**2 - 9 + 3/2*f + 1/8*f**3.
(f - 2)*(f + 6)**2/8
Let m(j) = -11*j**2 + 2. Let f(t) = 136*t**2 - 16*t - 584. Let s(z) = -f(z) - 12*m(z). Factor s(y).
-4*(y - 14)*(y + 10)
Let l(v) = -7*v**4 + 8*v**3 + 41*v**2 + 4*v - 2. Let m(r) = 50*r**4 - 58*r**3 - 292*r**2 - 27*r + 15. Let i(z) = -15*l(z) - 2*m(z). Factor i(c).
c*(c - 3)*(c + 2)*(5*c + 1)
Find b such that 163/4*b - 11/4*b**2 + 15/2 = 0.
-2/11, 15
Let h(a) be the first derivative of -7*a**5/5 + 75*a**4/4 + 40*a**3 - 70*a**2 - 48*a + 495. Determine d so that h(d) = 0.
-2, -2/7, 1, 12
Let z(u) be the second derivative of u**6/30 - 4*u**5 + 1151*u**4/12 - 2552*u**3/3 + 2016*u**2 - 31*u - 107. Factor z(k).
(k - 63)*(k - 8)**2*(k - 1)
Let j(r) be the first derivative of r**8/11760 + r**7/1960 - r**6/252 - 42*r**3 + 188. Let a(u) be the third derivative of j(u). Factor a(i).
i**2*(i - 2)*(i + 5)/7
Suppose -4 = -n + 3*t, -3*t = 5*n + 2*t - 120. Suppose -184 = -n*x - 146. Factor 3/2*y**x - 3/2*y + 0.
3*y*(y - 1)/2
Let j = 649990 + -3249926/5. Let 4/5*b**4 + 0*b - 4/5*b**3 + 0 - j*b**2 = 0. Calculate b.
-2, 0, 3
Let d be 3 + (-649)/209 + (4/19)/2. Let o(m) be the first derivative of -1/20*m**5 + d*m + 1/12*m**3 - 1/8*m**4 + 16 + 1/4*m**2. Determine c so that o(c) = 0.
-2, -1, 0, 1
Let c(s) = 54*s**2 - 220*s + 69. Let q(u) = -284*u**2 + 1100*u - 344. Let t(o) = 16*c(o) + 3*q(o). What is j in t(j) = 0?
1/3, 18
Let -5/4*r**2 - 27/8*r - 1/8*r**3 - 9/4 = 0. What is r?
-6, -3, -1
Let o be (-3)/(-9)*3 - (-8731 - 9). Solve 2560*p**3 - 80*p**4 - o*p**2 - 409949 - 32219*p**2 + 327680*p - 638627 - 227*p**5 + 228*p**5 = 0 for p.
16
Let c(x) be the third derivative of x**9/12096 - 17*x**8/4032 + x**7/63 - x**5/6 - 5*x**4/24 - 83*x**2. Let s(z) be the third derivative of c(z). Factor s(a).
5*a*(a - 16)*(a - 1)
Let w(b) be the first derivative of -5*b**3/3 - 8155*b**2/2 + 4953. Solve w(y) = 0.
-1631, 0
Factor 0 + 68/9*g**4 - 134/9*g**3 + 0*g - 4/9*g**2.
2*g**2*(g - 2)*(34*g + 1)/9
Let b(p) = -6*p**3 - 78*p**2 + 214*p - 198. Let z(f) = -f**3 - f**2 - f + 1. Let q = 785 - 786. Let s(y) = q*b(y) + 10*z(y). Factor s(i).
-4*(i - 13)*(i - 2)**2
Let o be (-62 - -63)/(1/(-4)). Let x be 0/o + (-5 - (0 - 5)). Determine r so that 5/7*r**4 + x*r - 2/7*r**2 + 3/7*r**3 + 0 = 0.
-1, 0, 2/5
Let d(u) = 121*u**2 - 242259*u + 69219. Let t(z) = 97*z**2 - 193807*z + 55375. Let k(o) = 15*d(o) - 19*t(o). Let k(g) = 0. Calculate g.
2/7, 1730
Let j(u) be the second derivative of -u**4/4 + 271*u**3/2 - 4*u - 136. Let j(z) = 0. What is z?
0, 271
Factor -4*r**2 + 520*r + 531*r + 0*r**2 - 943*r.
-4*r*(r - 27)
Let w(u) = -13909*u**2 + 8253*u + 18. Let z(x) = -27817*x**2 + 16521*x + 36. Let p(o) = 7*w(o) - 4*z(o). Suppose p(k) = 0. Calculate k.
-2/927, 3/5
Suppose 12389*i**2 + 965 + 109*i + 861*i - 12384*i**2 = 0. Calculate i.
-193, -1
Let x(z) = -10*z**5 - 11*z**4 + 7*z**3 - 7*z**2 + 21*z - 14. Let l(j) = 3*j**5 + 4*j**4 - 3*j**3 + 2*j**2 - 6*j + 4. Let c(d) = 14*l(d) + 4*x(d). Factor c(y).
2*y**3*(y - 1)*(y + 7)
Let b(f) be the third derivative of f**5/60 + 101*f**4/12 - 205*f**3/2 + 2823*f**2. Factor b(o).
(o - 3)*(o + 205)
Let n(v) be the first derivative of 11*v**5/120 - 2*v**4/3 + 5*v**3/3 - 129*v**2/2 + 114. Let l(u) be the second derivative of n(u). Factor l(o).
(o - 2)*(11*o - 10)/2
Let p = 161995/6 - 161819/6. Factor 0 + 0*k - 4/3*k**5 + 0*k**3 + p*k**4 + 0*k**2.
-4*k**4*(k - 22)/3
Let k(a) be the second derivative of -a**7/140 + a**6/360 + a**5/360 - a**3/3 - 17*a**2 - 2*a - 10. Let c(l) be the second derivative of k(l). Factor c(j).
-j*(3*j - 1)*(6*j + 1)/3
Let m be (-1221)/(-185) + -3 + 1 + -3. Let i(f) be the first derivative of -2/15*f**3 + m*f - 12 - 3/5*f**2. Factor i(u).
-2*(u - 1)*(u + 4)/5
Let h(i) be the first derivative of -7 + 1/6*i**4 - 34/9*i**3 - 128/3*i + 80/3*i**2. Let h(p) = 0. What is p?
1, 8
Let p(c) be the first derivative of -8*c**2 - c**4 - 20/3*c**3 - 11 + 0*c. Factor p(j).
-4*j*(j + 1)*(j + 4)
Factor -1/3*c**3 + c**2 - 8 + 22/3*c.
-(c - 6)*(c - 1)*(c + 4)/3
Let s = -7391489/10 - -739149. Factor 0 + 1/10*v**2 - s*v**4 - 2/5*v**3 + 2/5*v.
-v*(v - 1)*(v + 1)*(v + 4)/10
Let p be (14/6 - (-120)/720) + 6/(-12)*-2. Solve -1/2*m**2 - p*m - 6 = 0.
-4, -3
Let i = -253975 + 1269931/5. Let 212/5*g**2 - 16/5 - 24/5*g + 222/5*g**3 + i*g**4 = 0. Calculate g.
-2, -1/4, 2/7
Suppose 4*z + 6*p - p = 198, p - 143 = -3*z. Solve -z*a**4 + 92*a**4 - 80*a**2 - 47*a**3 - 50*a**