 -56*q - 952. Let i be z(-17). Factor -2/13*y**g + 0*y**2 + 2/13*y + i.
-2*y*(y - 1)*(y + 1)/13
Solve 3*j**4 - 4*j**4 - 31*j**2 + 2*j**3 - j - j + 32*j**2 = 0.
-1, 0, 1, 2
Determine j so that 4*j**3 - 4*j**3 - j + j**3 = 0.
-1, 0, 1
Let w(y) be the third derivative of y**7/210 - y**6/120 - y**5/20 + y**4/24 + y**3/3 + 200*y**2. Determine a, given that w(a) = 0.
-1, 1, 2
Suppose 6 = o - 25. Suppose -2*s + 5 = 2*p - p, 0 = -4*s + 5*p + o. Find x such that -8/5*x**4 + s*x**2 + 2/5*x**5 - 16/5 - 8/5*x + 2/5*x**3 = 0.
-1, 2
Let m(k) = 2*k**3 - 2*k**2 + 4*k - 2. Let o be m(1). Let l be (-4)/(-260)*10 + o/156. Solve 1/3*x**2 - 1/6*x**3 + l*x - 1/3 = 0.
-1, 1, 2
Factor 3/4*a**3 + 3675/2 + 3255/4*a - 51*a**2.
3*(a - 35)**2*(a + 2)/4
Let l(m) be the third derivative of -m**7/1890 + m**6/60 + 17*m**5/108 + 11*m**4/36 + 2*m**2 + 372. Factor l(q).
-q*(q - 22)*(q + 1)*(q + 3)/9
Let t = -34 - -94. Let w be t/2*4/6. Factor w*j**2 - 19*j**2 - 3 + 4 - 2*j.
(j - 1)**2
Let z = 163 - 158. Let f(c) be the third derivative of -1/8*c**4 + 0*c + 0 - c**3 + c**2 + 1/20*c**z. Factor f(t).
3*(t - 2)*(t + 1)
Let k be -3 - (4/4 - 4). Let t(p) be the second derivative of 0 + k*p**4 - 6*p + 0*p**2 + 1/30*p**5 + 0*p**3 + 1/30*p**6. Factor t(d).
d**3*(3*d + 2)/3
Find q, given that 0 + 6*q**2 + 27/2*q**3 + 0*q = 0.
-4/9, 0
Determine a so that 0 + 784/3*a - 280*a**2 + 19*a**3 - 1/3*a**4 = 0.
0, 1, 28
Solve -9*f - 4*f**2 - 14*f**3 + 35*f**3 + 36 - 20*f**3 = 0 for f.
-3, 3, 4
Suppose 7*b - 2*b = 5*s - 380, 2*s = 4*b + 158. Let t = -364/5 + s. Factor -t*r**3 + 3/5*r**4 + 0 + 0*r + 4/5*r**5 + 0*r**2.
r**3*(r + 1)*(4*r - 1)/5
Let n(w) be the second derivative of -2*w**3 + 9/20*w**4 + 0 + 6/5*w**2 + 17*w - 3/5*w**7 + 39/25*w**5 - 23/50*w**6. Let n(d) = 0. Calculate d.
-1, 2/7, 1/2, 2/3
Let l(o) = -5*o - 22. Let x be l(-6). Suppose 14*m - 12 = x*m. Factor -n - 3/2 + 1/2*n**m.
(n - 3)*(n + 1)/2
What is r in -3/5*r + 36/5*r**4 + 18/5 - 54/5*r**2 + 3*r**5 - 12/5*r**3 = 0?
-2, -1, 3/5, 1
Let a(q) be the third derivative of -q**6/480 - q**5/24 - 19*q**4/96 + 5*q**3/4 - 331*q**2. Factor a(r).
-(r - 1)*(r + 5)*(r + 6)/4
Let p(t) be the first derivative of 20*t**4 + 1720*t**3/3 - 875*t**2/2 + 110*t - 109. Factor p(m).
5*(m + 22)*(4*m - 1)**2
Let q(a) be the first derivative of 3/4*a**2 + 1/72*a**4 - 1/6*a**3 - 8*a + 2. Let v(b) be the first derivative of q(b). Factor v(g).
(g - 3)**2/6
Let y be 24/(-6) + 2 - (0 + -98). Factor -25*u**3 + 80 - 125*u - 196 + y - 130*u**2.
-5*(u + 1)*(u + 4)*(5*u + 1)
Determine t, given that -2*t + 1/5*t**5 + 0 - 7/5*t**4 - 29/5*t**2 - 27/5*t**3 = 0.
-1, 0, 10
Let x(g) be the third derivative of -g**6/1440 - 7*g**5/720 - 11*g**4/288 - 5*g**3/72 + 310*g**2. Factor x(y).
-(y + 1)**2*(y + 5)/12
Let r = -3 - -7. Suppose -4*s + r*q = 8, -2*q - 1 = s - 5. Factor s + 0*g + 0*g**2 - 1/2*g**3.
-g**3/2
Let l(r) = r**2 - 150*r - 616. Let y be l(-4). Solve 4/7*a**3 + y - 4/7*a + 0*a**2 = 0.
-1, 0, 1
Suppose -75 - 15 = -45*l. Let w(z) be the second derivative of -3/20*z**5 - 3/4*z**l + 1/2*z**3 + 0 + 10*z + 0*z**4 + 1/20*z**6. Factor w(c).
3*(c - 1)**3*(c + 1)/2
Suppose -2 + 4/7*s**5 + 44/7*s**2 - 64/7*s**3 + 12/7*s + 18/7*s**4 = 0. What is s?
-7, -1/2, 1
Let s(y) be the first derivative of 8*y + 47*y**4 - 26*y**2 + 32/3*y**3 - 17 - 32/3*y**6 + 32/5*y**5. Suppose s(i) = 0. Calculate i.
-1, 1/4, 2
Let -23*a**4 - 193*a - a**4 + 84*a + 54*a**3 + 3*a**5 + 36 - 10*a**2 - 2*a**2 + 52*a = 0. Calculate a.
-1, 1, 3, 4
Let p(v) be the second derivative of v**5/20 - 13*v**4/6 - 12*v - 20. Factor p(l).
l**2*(l - 26)
Let l(t) be the second derivative of 9*t**6/5 - 777*t**5/5 + 66037*t**4/18 + 30044*t**3/9 + 3364*t**2/3 + 357*t. Find g such that l(g) = 0.
-2/9, 29
Let y(q) = -q**3 - 4*q**2 + 8*q + 8. Let s be (4 + -3 - 4) + -3. Let k be y(s). Factor 30*o**2 + k + 10*o**2 - 80*o + 10*o**2.
2*(5*o - 4)**2
Let o = -1 + 10. Let j be 4/18 + 25/o. Solve -7*a + 0 + 6*a + 0*a**j + a**3 - 1 + a**2 = 0 for a.
-1, 1
Suppose 38*j = 35*j - n, -2*j = -4*n. Let r(z) be the third derivative of 0*z**4 + z**2 + 0 + 0*z + j*z**3 + 1/20*z**5. Factor r(v).
3*v**2
Let x be ((-12)/12 + 1)/(-1). Suppose -2/9*k**3 + 0*k + x - 2/9*k**2 = 0. What is k?
-1, 0
Let j = 8567 - 8565. Suppose -8/11*w - 2/11*w**j - 6/11 = 0. What is w?
-3, -1
Suppose 11*z - 180 = -49*z. Let w(u) be the first derivative of -3 - 2/3*u**z + 6*u**2 - 18*u. Factor w(p).
-2*(p - 3)**2
Let q be (15/(-40))/((-189)/28). Let z(f) be the first derivative of 7/9*f**3 - 1/12*f**4 + 4 - 4/3*f - 1/5*f**5 + 0*f**2 + q*f**6. Find b such that z(b) = 0.
-1, 1, 2
Let a(x) = x + 11. Let q be a(-6). Let y(f) be the first derivative of -6/5*f**q - 3 - 4*f**3 + 2*f + 0*f**2 - 4*f**4. Let y(w) = 0. Calculate w.
-1, 1/3
Let v(x) be the second derivative of -x**7/2310 - x**6/220 - x**5/132 - 3*x**2/2 + 19*x. Let w(l) be the first derivative of v(l). Factor w(u).
-u**2*(u + 1)*(u + 5)/11
Let l(p) = -p**2 + 10*p + 6. Let s be l(10). Suppose 0 = 4*z + 4, -2*z = -w - 0*z + s. Determine j so that 7*j**2 - 4*j - 2*j**2 + 0*j**2 + 4 - w*j**2 = 0.
2
Suppose 6*i - 15 = 3. Let v(o) be the third derivative of -1/120*o**5 + o**2 - 1/240*o**6 + 0*o**i + 0 + 1/420*o**7 + 0*o + 1/48*o**4. Factor v(u).
u*(u - 1)**2*(u + 1)/2
Factor 843304/5*h + 810448/5 + 6660*h**2 + 2/5*h**4 + 446/5*h**3.
2*(h + 1)*(h + 74)**3/5
Let l = 11 - 8. Let b be (8/100 + 0)*5. What is j in -8/5*j**2 + 0 + 0*j - 8/5*j**l - b*j**4 = 0?
-2, 0
Factor 0 + 1/5*i**3 + 24/5*i**2 + 0*i.
i**2*(i + 24)/5
Let n(r) = 3*r**3 + r**2 - r. Let q(c) = 5*c**4 + 24*c**3 - 57*c**2 - 298*c + 500. Let h(i) = -2*n(i) - q(i). Suppose h(f) = 0. What is f?
-5, 2
Let s(l) be the third derivative of l**7/105 + 19*l**6/600 - l**5/25 - 19*l**4/120 + l**3/15 + 234*l**2. Determine x so that s(x) = 0.
-2, -1, 1/10, 1
Let a(d) = -d**3 + 14*d**2 + 9*d + 90. Let i be a(15). Factor 2/3*r + i + 1/3*r**2.
r*(r + 2)/3
Let c be (-49 + 61)*-1*3/(-9). Solve 200/11*w**2 + 42/11*w**3 - 234/11*w**c - 152/11*w + 32/11 + 108/11*w**5 = 0 for w.
-1, 1/2, 2/3, 4/3
Let q be (505/202)/(5/3). Factor -1/2*n**3 - 3/2*n**4 + q*n**2 + 0*n + 0 + 1/2*n**5.
n**2*(n - 3)*(n - 1)*(n + 1)/2
Let y(k) be the first derivative of -1/24*k**4 - 1/3*k**3 + 3/2*k**2 + 0*k - 1 + 1/120*k**6 + 1/30*k**5. Let g(f) be the second derivative of y(f). Factor g(a).
(a - 1)*(a + 1)*(a + 2)
Let v be 56/(-126) - 50/(-45). Factor 8/3*l**2 + 0 + v*l**3 - 10/3*l.
2*l*(l - 1)*(l + 5)/3
Let j = -96 - -101. Suppose 2*m + 2*w = 6*w, 0 = j*m - 4*w. Factor 0*b + 0 + 2/11*b**4 + m*b**2 - 2/11*b**3.
2*b**3*(b - 1)/11
Suppose 0 = -3*k - 4*t - 14, k + 5*t + 4 + 19 = 0. Suppose 3*p + 3*m + 15 = 0, k*p + m = 5*m + 20. Solve p - 1/4*s**3 - 1/4*s**2 + 1/2*s = 0 for s.
-2, 0, 1
Suppose 4*d = 24, -3*p - 237 = -3*d - 228. Determine k so that -k + 15/2*k**5 + 11/2*k**2 - 11/2*k**4 - 13/2*k**p + 0 = 0.
-1, 0, 1/3, 2/5, 1
Factor 11/4*h - 15/2 - 1/4*h**2.
-(h - 6)*(h - 5)/4
Suppose -7*y**2 - y**2 - 10722 + 2*y**2 + 116*y + 10684 = 0. Calculate y.
1/3, 19
Suppose 22 = -4*u + 50. Let n be (-3 - 5) + u + 4. Determine h, given that 0 - n*h**2 + 3/2*h**4 + 0*h + 3/2*h**3 = 0.
-2, 0, 1
Let f(s) be the second derivative of -1/2*s**3 - 1/4*s**4 - 1/20*s**5 - 1/2*s**2 - 6*s + 0. What is h in f(h) = 0?
-1
Suppose 13*q = 9*q - 4*j + 184, q = 5*j + 58. Let r be 2 + q/(-22) + (-46)/(-11). Let -p**3 + 1/2*p**r + 0*p + 1/2*p**2 + 0 = 0. Calculate p.
0, 1
Let k(o) = -o - 2. Let y be k(-4). Suppose 111 - 78 = 11*f. Factor 17*q**3 - 55*q**y - 84 + 4 + 8*q**f - 200*q + 25*q**4 - 70*q**2 - 5*q**5.
-5*(q - 4)**2*(q + 1)**3
Suppose l + 217 = -6*l. Let o = -28 - l. Let -w - 10*w**2 - 8*w**4 + 20*w**3 - 3*w + 2*w**o = 0. What is w?
-1/4, 0, 1, 2
Let x(i) be the second derivative of i**5/20 + 2*i**4/3 - 31*i**3/6 + 11*i**2 + 437*i. Suppose x(u) = 0. What is u?
-11, 1, 2
Let y be 6 - (62/30 + -4*(-133)/(-380)). Factor 0 + 0*w + 1/3*w**4 + y*w**2 - 8/3*w**3.
w**2*(w - 4)**2/3
Factor 5*c**4 - 38 + 12*c + 6*c**4 - 18*c**3 - c**5 + 2*c**2 + 30 + 7*c**3 - 5*c**4.
-(c - 2)**3*(c - 1)*(c + 1)
Suppose 0 = 3*g - w - 1, -3*g - 3*w = 2*w - 31. Suppose -20 = 2*r + 2*k + g*k, -5*r = -4*k - 20. Solve -3/7*c**2 - 6/7*c + r = 0.
-2, 0
Let -72/5 - 22/5*l**3 - 86/5*l**2 - 138/5*l - 2/5*l**4 = 0. Calculate l.
-4, -3, -1
Let i(d) be the second derivative