71*w**4 - 2042*w**2 - 1143*w**2 - 5237 - 1876*w**4 = 0. What is w?
-34, -22, 1
Let y = 27371/10 + -245579/90. Solve -38/3*i - y*i**3 - 20/9*i**4 - 136/9*i**2 - 2/9*i**5 - 4 = 0.
-3, -2, -1
Let c = -412 + 418. Let z(g) be the first derivative of 0*g + 0*g**4 - 1/4*g**2 - 10 + 1/3*g**3 + 1/12*g**c - 1/5*g**5. Factor z(b).
b*(b - 1)**3*(b + 1)/2
Let n(g) be the third derivative of 0 + 1/735*g**7 + 0*g + 8/105*g**5 + 0*g**3 - 37*g**2 + 1/7*g**4 + 1/60*g**6. Factor n(p).
2*p*(p + 2)**2*(p + 3)/7
Let z be (23712/2496)/((-19)/(-6)). Solve z + 6/7*p**2 - 45/7*p = 0 for p.
1/2, 7
Let z be 94569/5435 + (-2 - -1 - 8). Factor -16/5*i**2 - 2/5*i**3 - z*i - 36/5.
-2*(i + 2)*(i + 3)**2/5
Let v = 1/843 - -1679/5901. Let z = 2/457 - -900/3199. Factor -4/7*y + z*y**2 + v.
2*(y - 1)**2/7
Factor 0 + 3/5*b**4 + 582/5*b**3 + 0*b - 1176/5*b**2.
3*b**2*(b - 2)*(b + 196)/5
Suppose -c - 3*i - 9 = 0, -7*c + 3*i = -4*c + 39. Let o be -6 + c/(-3) - 22/(-3). Let 32/3 - 8/3*y**2 + o*y - 4/3*y**3 = 0. Calculate y.
-2, 2
Let n be -58 + 0 - (-50347)/796. Find i, given that -i + 1/4*i**2 - n = 0.
-3, 7
Let t(r) be the second derivative of -15*r**2 + 0 - 67*r + 5/12*r**4 + 25/6*r**3. Factor t(g).
5*(g - 1)*(g + 6)
Let q be ((-4)/(-12))/((-1)/(-12)). Suppose 4*k - n = 2 + 249, q*k = 3*n + 257. Factor 21 + k*u - 13 + 20*u**2 + 46*u + 32.
4*(u + 5)*(5*u + 2)
Factor 40/3*y**3 + 8*y + 166/3*y**2 + 0.
2*y*(y + 4)*(20*y + 3)/3
Let s(p) = -1137643*p**4 - 9542*p**3 - 18*p**2 - 2. Let i(r) = 1137642*r**4 + 9543*r**3 + 17*r**2 + 3. Let z(b) = -2*i(b) - 3*s(b). Factor z(h).
5*h**2*(477*h + 2)**2
Factor -267126/7 + 2/21*s**3 + 266282/7*s + 2530/21*s**2.
2*(s - 1)*(s + 633)**2/21
Suppose -5*k = -4*k. Let c = 3 - k. Find t such that 7 - 5*t**5 - 2*t**3 - 7*t**4 - c - 4 = 0.
-1, -2/5, 0
Let r(h) be the first derivative of h**6/8 - 3*h**5/5 - 9*h**4/16 + 17*h**3/2 - 39*h**2/2 + 18*h - 3583. Factor r(k).
3*(k - 2)**3*(k - 1)*(k + 3)/4
Let r(a) be the second derivative of -a**7/504 - 13*a**6/144 + a**4/2 + 51*a - 1. Let o(q) be the third derivative of r(q). Find h such that o(h) = 0.
-13, 0
Let k(j) = 340*j + 26182. Let o be k(-77). Determine v so that 22/5*v**o + 8/15*v**4 - 8/3*v**3 - 8/3*v + 8/15 = 0.
1/2, 2
Let r(v) = v**2 - 7*v - 6464. Let t be r(84). Let o(q) be the first derivative of 39 + 8/11*q - 2/33*q**3 - 1/22*q**t + 4/11*q**2. Let o(f) = 0. Calculate f.
-2, -1, 2
Let y(o) be the first derivative of -o**5/30 + 5*o**4/9 - o**3 + 10*o - 43. Let z(f) be the first derivative of y(f). Suppose z(q) = 0. What is q?
0, 1, 9
Let 168 + 2685*u + 2656*u - 5375*u + u**2 = 0. What is u?
6, 28
Let y(s) be the third derivative of s**7/3780 + s**6/270 - s**5/15 + 35*s**4/6 - 3*s**2 - 5*s. Let l(c) be the second derivative of y(c). Solve l(p) = 0.
-6, 2
Suppose 4 - 23 = -4*f - l, 0 = 5*f + 5*l - 20. Factor 2118*n - 5*n**2 - f*n**3 - 2118*n.
-5*n**2*(n + 1)
Let o = -6835 + 54685/8. Let m(i) be the first derivative of -i + o*i**2 - 29 - 1/12*i**3. Suppose m(r) = 0. What is r?
1, 4
Let q(w) = -w**3 - 29*w**2 + 69*w - 12. Let z be q(2). Factor -2/9*m**z - 10/3*m - 28/9.
-2*(m + 1)*(m + 14)/9
Let f(k) be the third derivative of -k**6/30 + 16*k**5/15 - 77*k**4/6 + 196*k**3/3 - 772*k**2 - 2*k - 1. Solve f(b) = 0 for b.
2, 7
Determine q so that -400/3*q - 5/3*q**4 + 0 - 1960/3*q**2 + 199/3*q**3 = 0.
-1/5, 0, 20
Let r(m) be the first derivative of -1/18*m**3 + 8 + 3/2*m**2 - 27/2*m. Factor r(c).
-(c - 9)**2/6
Let t(w) be the second derivative of -2*w**7/147 - 2*w**6/35 + 16*w**5/35 + 88*w**4/21 + 96*w**3/7 + 160*w**2/7 + 31*w. Factor t(g).
-4*(g - 5)*(g + 2)**4/7
Suppose 0 = 5*j - 3*d + 1125, 0 = -3*d - 15 - 0. Let k = 1600/7 + j. Let -2/7*i + k*i**2 + 0 = 0. Calculate i.
0, 1/2
Let s(m) be the second derivative of m**6/120 - 21*m**5/80 + 25*m**4/24 + 7*m**3/2 - 27*m**2 - 13451*m. Solve s(a) = 0 for a.
-2, 2, 3, 18
Let q be 1295/296 - (3 + ((-9)/2 - 5)). Factor q*l**2 + 21/2*l + 3/8*l**3 + 0.
3*l*(l + 1)*(l + 28)/8
Let n(h) be the second derivative of h**6/1260 - 2*h**5/105 + 4*h**4/21 - 37*h**3/2 - h**2 - 123*h. Let i(k) be the second derivative of n(k). Factor i(g).
2*(g - 4)**2/7
Let b = -191 - -199. Suppose b*z - 29 = -5. Factor -6*o**z - 6/5*o**2 + 0 - 12/5*o**5 - 34/5*o**4 + 2/5*o.
-2*o*(o + 1)**3*(6*o - 1)/5
Let k be (18 + -2 - (-2655)/(-177))*3. What is p in -2/5*p**k + 9/5*p**2 - 1/5*p**4 - 8/5 + 2/5*p = 0?
-4, -1, 1, 2
Let n(p) be the third derivative of -p**7/490 - 3*p**6/280 + 47*p**5/140 + 21*p**4/8 + 7*p**3 - 4*p**2 + 6*p - 6. Let n(t) = 0. What is t?
-7, -2, -1, 7
Let b be 5889/1812 + (-15)/10. Factor -b*t**3 + 3/2 + 17/4*t**2 + 1/4*t**4 - 17/4*t.
(t - 3)*(t - 2)*(t - 1)**2/4
Let k(b) be the second derivative of -5*b**7/42 + 21*b**6 - 1981*b**5/2 - 365*b**4 + 45045*b**3/2 + 59535*b**2 + 504*b. Solve k(x) = 0.
-2, -1, 3, 63
Let y(j) be the third derivative of -5*j**8/336 - 2*j**7/21 + 19*j**6/24 - 7*j**5/6 - 4365*j**2. Determine h, given that y(h) = 0.
-7, 0, 1, 2
Let w be 690/115 + 440/(-90). Determine a so that -w*a**3 - 14/9*a**2 - 2/3*a - 2/9*a**4 + 0 = 0.
-3, -1, 0
Let b = -5482 - -5482. Let m(g) be the second derivative of b - 1/3*g**3 - 1/18*g**4 + 8*g - 2/3*g**2. Factor m(q).
-2*(q + 1)*(q + 2)/3
Let w = -169014 + 169017. Solve 32/7*j**2 + 16/7 - 9/7*j**4 + 48/7*j - 12/7*j**w = 0.
-2, -2/3, 2
Let r be (-1108)/(-7756)*(-21)/(-4). Factor -15/4*u + 0 + r*u**3 + 3*u**2.
3*u*(u - 1)*(u + 5)/4
Solve 4*x**3 + 678972*x + 400649 + 221017 - 215365 + 275975 - 3300*x**2 = 0 for x.
-1, 413
Let l(c) be the second derivative of -c**7/168 - c**6/18 + 7*c**5/8 + c**3/2 + 13*c**2 + 5*c + 4. Let x(z) be the second derivative of l(z). Factor x(g).
-5*g*(g - 3)*(g + 7)
Suppose 0 = -13*s - 5*s + s. Let q(p) be the third derivative of s*p + 0 + 0*p**4 + 11*p**2 + 0*p**3 + 1/120*p**5 + 1/240*p**6. Factor q(o).
o**2*(o + 1)/2
Let p(x) be the first derivative of 0*x + 11/240*x**5 + 1/540*x**6 + 23/3*x**3 + 28 + 0*x**2 + 1/18*x**4. Let w(c) be the third derivative of p(c). Factor w(k).
(k + 8)*(4*k + 1)/6
Let x(n) = -12*n**3 + 40*n**2 - 132*n + 124. Let w(z) = -10*z**3 + 40*z**2 - 130*z + 123. Let t(o) = -4*w(o) + 3*x(o). Factor t(c).
4*(c - 5)*(c - 3)*(c - 2)
Let x(y) be the first derivative of -y**7/98 + y**6/42 + y**5/70 + 39*y - 93. Let b(f) be the first derivative of x(f). Determine g, given that b(g) = 0.
-1/3, 0, 2
Suppose n + 2*c = 2042, 3*n + 2*c + 2302 - 8440 = 0. Factor 2045*k**2 - n*k**2 - 33 - 102*k - 29 - 37.
-3*(k + 1)*(k + 33)
Let i(t) be the first derivative of -t**9/1008 + t**8/1680 + t**7/420 - 22*t**3 - 138. Let o(l) be the third derivative of i(l). Let o(k) = 0. What is k?
-2/3, 0, 1
Let w be (1/(-4*4/(-64)))/2. Suppose w*m + 0*m - 2 = -3*k, -m - 3*k - 5 = 0. Factor -31*d**2 - 3*d**2 - 8*d**3 - 13*d**3 - 6*d + m*d**2.
-3*d*(d + 1)*(7*d + 2)
Suppose 3*k + 3*p = 0, -2*k + 23 = -5*p - 5. Let f be 10/36*-3*(-5 + -1). Suppose -9*t**4 + t**4 - t**3 + 3*t**3 - 1 - 2*t + k*t**2 + f*t**4 = 0. Calculate t.
-1, -1/3, 1
Let r be 5/(1680/1287) - 4. Let j = -3/112 - r. Find s, given that -2/7*s - j*s**2 + 0 + 1/7*s**3 = 0.
-1, 0, 2
Factor 1/4*c**3 + 1425/4*c**2 + 0 + 356*c.
c*(c + 1)*(c + 1424)/4
Let g(u) be the second derivative of -u**5/35 - 566*u**4/21 - 1126*u**3/21 + 2260*u**2/7 + 3447*u. Determine t, given that g(t) = 0.
-565, -2, 1
Let x(z) be the second derivative of z**6/50 - z**5/25 - z**4/30 + 2*z**3/15 - z**2/10 + 2*z - 588. Solve x(v) = 0 for v.
-1, 1/3, 1
Let y(p) be the third derivative of -p**6/780 - 22*p**5/195 - 41*p**4/39 - 160*p**3/39 - 40*p**2 + 3. Find v such that y(v) = 0.
-40, -2
Suppose -279*r - 277*r + 833*r = 282*r - 15. Find d such that 8*d**2 + 2/7*d**r + 442/7*d + 676/7 = 0.
-13, -2
Let u(x) = -129*x**2 - 2118*x. Let q(n) = 6*n**2 - n. Let j(a) = -21*q(a) - u(a). Suppose j(k) = 0. Calculate k.
-713, 0
Let u(x) be the second derivative of 5*x**7/42 - 81*x**6/5 - 489*x**5/25 - 98*x**4/15 - 44*x - 6. Factor u(r).
r**2*(r - 98)*(5*r + 2)**2/5
Let f(a) be the second derivative of -1/9*a**3 + 25*a + 1/6*a**4 - 4/9*a**2 - 1/45*a**5 + 0. Determine q, given that f(q) = 0.
-1/2, 1, 4
Let v be (-12)/(-27) - (-70)/45. Factor 9*t**v + 3*t**2 - 12*t**2 + 3*t**2 + 9*t.
3*t*(t + 3)
Let r = 13385 - 24963023/1865. Let u = 1883/16785 - r. Factor -u*y**3 - 16/9 + 0*y**2 + 4/3*y.
-(y - 2)**2*(y +