 0. Calculate z.
0, 1, 2
Suppose -10*t + 29*t = 247. Suppose -15 = -t*g - 2. Let 21/4*o**2 + g + 5*o = 0. What is o?
-2/3, -2/7
Let t(l) be the third derivative of 1/165*l**5 + 0*l**3 + 0 - 7*l**2 - 1/220*l**6 + 0*l**4 + 0*l**7 + 0*l + 1/1848*l**8. Suppose t(q) = 0. Calculate q.
-2, 0, 1
Let l = 2902/10059 - 4/1437. Suppose -8/7*u - 8/7 - l*u**2 = 0. Calculate u.
-2
Let j(f) = -2*f**2 - 37*f - 171. Let u(y) = -y**2 - 19*y - 86. Let h(b) = 4*j(b) - 9*u(b). Factor h(o).
(o + 5)*(o + 18)
Let n(y) be the first derivative of 1/2*y**4 + 6 + 0*y + 0*y**2 - 2/3*y**3. Suppose n(f) = 0. What is f?
0, 1
Let z(a) be the first derivative of -2*a**5/5 - 6*a**4 - 14*a**3 - 10*a**2 + 65. Factor z(l).
-2*l*(l + 1)**2*(l + 10)
Let b be (-11)/(-259)*30142/192. Let x = b - 1/1184. Factor 4/3 + 5*z**3 + x*z + 31/3*z**2.
(z + 1)*(3*z + 2)*(5*z + 2)/3
Let t = 279 - 179. Let b(x) = 2*x + 1. Let v be b(1). What is k in 17*k + 32*k**4 + 25*k**5 + t*k**2 + 3*k + 78*k**4 + 165*k**v = 0?
-2, -1, -2/5, 0
Let r be 48 - 2/4*(10 - 12). Let d = r + -49. Factor 2/9*n**5 + 2/9*n**4 + 0 + d*n**3 + 0*n + 0*n**2.
2*n**4*(n + 1)/9
Suppose -16*x + 8 = -14*x. Let q be (2/(-6))/(((-9)/x)/9). Find c, given that -q*c + 2/3*c**2 + 2/3 = 0.
1
Let a = 479 + -475. Let t(k) be the first derivative of -4 - 3/28*k**a - 1/42*k**6 - 1/21*k**3 - 3/35*k**5 + 0*k + 0*k**2. Factor t(z).
-z**2*(z + 1)**3/7
Suppose 5*s = -4*i + 27, 0 = -0*s - s + i. Factor -11 + 6 + 5 - 5*h + 5*h**s.
5*h*(h - 1)*(h + 1)
Suppose -18*v - 24 = -78. Suppose 0 = v*m - 15 + 6. Determine t, given that 15/8*t**2 - 3/4 + 21/8*t - 3/2*t**m = 0.
-1, 1/4, 2
Let w = 5557/28 + 1899/7. Let d = 472 - w. Solve -c**3 - 3/2*c - 1/4 - d*c**2 = 0 for c.
-1, -1/4
Suppose -4*s + 8 = -v - 8, -3*s + 3 = 0. Let w(i) = -i - 7. Let a be w(v). Factor 7*d + a*d - 5*d + 5*d - 3*d**2 - 12.
-3*(d - 2)**2
Suppose 61*b = 115*b - 57*b. Let o(n) be the first derivative of -1/18*n**4 + 10 - 4/27*n**3 + b*n**2 + 0*n. Factor o(p).
-2*p**2*(p + 2)/9
Let v(a) be the second derivative of -a**5/25 + 4*a**4/15 + 8*a**3/15 - 32*a**2/5 - 58*a. Suppose v(b) = 0. Calculate b.
-2, 2, 4
Let h(w) = -w - 16. Let z be h(-7). Let y be (-2)/9 + 16/z. Let p(k) = -7*k**2 - 2*k + 5. Let a(c) = -3*c**2 - c + 2. Let x(g) = y*p(g) + 5*a(g). Factor x(d).
-d*(d + 1)
Suppose 0 = 30*i - 28*i + 8. Let a be (-10 - -12)*(-1)/(i/6). Factor 2/3*k + 4/3 - 4/3*k**2 - 2/3*k**a.
-2*(k - 1)*(k + 1)*(k + 2)/3
Let a(o) be the third derivative of o**7/1512 - o**6/54 + 2*o**5/9 + o**4/3 - 28*o**2. Let i(p) be the second derivative of a(p). Factor i(r).
5*(r - 4)**2/3
Let h(w) = -7*w**3 - 138*w**2 - 6627*w - 103817. Let t(y) = -9*y**3 - 137*y**2 - 6627*y - 103815. Let n(x) = 4*h(x) - 3*t(x). Factor n(d).
-(d + 47)**3
Suppose q + 3*q = -0*q. Let g(w) be the second derivative of 0 + q*w**2 + 2*w + 1/9*w**4 + 1/9*w**3 + 1/30*w**5. Determine k so that g(k) = 0.
-1, 0
Suppose -1068*b + 1102*b - 29 = 39. Factor 0 + 0*u**b - 1/10*u + 3/10*u**3 - 1/5*u**4.
-u*(u - 1)**2*(2*u + 1)/10
Let n be ((-18)/(-4))/((-6)/(-16)). Suppose b - 3*b + 20 = 0. Factor 0 + 7 + n*u - 4*u**2 - 1 + b.
-4*(u - 4)*(u + 1)
Let i(j) be the third derivative of -j**10/30240 + j**8/6720 - 13*j**4/24 - 10*j**2. Let m(w) be the second derivative of i(w). Suppose m(q) = 0. Calculate q.
-1, 0, 1
Let k be (-4)/(-30)*3/(-48)*-1. Let d(u) be the third derivative of 0*u**4 + 0*u**3 + 1/240*u**6 - k*u**5 + 2*u**2 + 0*u + 0. Find t, given that d(t) = 0.
0, 1
Suppose -2*j + 2 = -0*j. Suppose -8*b = -73 + j. Factor 10*p**2 + b*p**3 - 6*p**4 - 4*p**3 - 9*p**3 - 4*p**4 + 4*p.
-2*p*(p - 1)*(p + 1)*(5*p + 2)
Let h(w) be the second derivative of 1/2*w**4 - 2/5*w**6 - 16*w + 5/2*w**3 + 3*w**2 - 3/5*w**5 - 1/14*w**7 + 0. Factor h(q).
-3*(q - 1)*(q + 1)**3*(q + 2)
Suppose 3342 = 3*s + 4*k, 3*s = -2*s - 5*k + 5575. Factor -15 - 1113*i**2 + s*i**2 + 11*i - i.
5*(i - 1)*(i + 3)
Let g(a) be the first derivative of 3/5*a**5 - 9/2*a**4 + 9*a**3 - 6*a**2 + 0*a + 4. Find i, given that g(i) = 0.
0, 1, 4
Suppose j - 3*f - 396 - 104 = 0, -j + f = -506. Let s = 7649/15 - j. Determine n so that 4/15 + 2/5*n**2 + 14/15*n**3 - s*n - 2/3*n**4 = 0.
-1, 2/5, 1
Let z(p) = -2*p**3 - 55*p**2 + 21*p - 193. Let u be z(-28). Find v, given that -4 - 4/3*v**u + 4/3*v + 4*v**2 = 0.
-1, 1, 3
Let b be 6 - (30/12 - 0). Suppose 0 + 10 = 5*t. Factor 9/2*g + b*g**t + 1.
(g + 1)*(7*g + 2)/2
Let j(q) be the third derivative of -q**7/1680 - q**6/64 - 77*q**5/480 - 55*q**4/64 - 21*q**3/8 - 148*q**2. Factor j(x).
-(x + 2)*(x + 3)**2*(x + 7)/8
Let f be 85/(-210)*-2 - (-1)/(-7). Factor 0*n - 2/3 + f*n**2.
2*(n - 1)*(n + 1)/3
Let s(b) be the first derivative of -3/2*b**2 + 0*b + 0*b**4 + 0*b**3 + 2/15*b**5 + 1/30*b**6 + 1. Let l(h) be the second derivative of s(h). Factor l(y).
4*y**2*(y + 2)
Suppose -5*d + 11*d = 24. Suppose -2 - s**5 + 4*s**2 - 6*s**4 + 2*s**3 + d*s**4 - 2*s + s = 0. Calculate s.
-2, -1, 1
Let a(x) be the third derivative of -x**5/10 - 7*x**4/24 - x**3/6 + 4*x**2. Let u(n) = -5*n**2 - 7*n. Let w(m) = -6*a(m) + 7*u(m). Determine r so that w(r) = 0.
1, 6
Let u(m) be the first derivative of m**4/12 + m**3/9 - 5*m**2/6 + m + 5. Factor u(c).
(c - 1)**2*(c + 3)/3
Suppose -57*s + 12370 - 12370 = 0. Let s + 0*v + 1/4*v**4 + 3/4*v**2 - v**3 = 0. Calculate v.
0, 1, 3
Suppose 9*i - 2*b + 10 = 10*i, 5*i - 23 = -b. Suppose 5*f + 2*y - 10 = y, -i*f - y + 8 = 0. Factor 3/5*l**f + 0 + 0*l**3 + 2/5*l - 1/5*l**4.
-l*(l - 2)*(l + 1)**2/5
Let w(u) be the first derivative of -u**4/20 - 8*u**3/15 + 22*u**2/5 - 48*u/5 - 68. Let w(c) = 0. Calculate c.
-12, 2
Let i(w) be the first derivative of -w**4/16 - 7*w - 6. Let x(z) be the first derivative of i(z). Let x(f) = 0. What is f?
0
Let a(d) = 4*d - 1. Let b(x) = 3*x - 1. Let m(y) = 2*a(y) - 3*b(y). Let h(z) = 4*z**2 + 17*z - 3. Let u(c) = 3*h(c) - 6*m(c). Factor u(v).
3*(v + 5)*(4*v - 1)
Factor 16/3 + 32/9*j - 4/9*j**3 - 4/9*j**2.
-4*(j - 3)*(j + 2)**2/9
Let z(x) = x**2 - 7*x - 5. Let y be z(8). Suppose -7 = -2*p - y. Factor -1/3*s**3 - 2/3 - 5/3*s - 4/3*s**p.
-(s + 1)**2*(s + 2)/3
Let a(y) be the second derivative of 2*y**7/21 + 4*y**6/15 - 3*y**5/5 - 4*y**4/3 + 8*y**3/3 + 3*y + 25. Factor a(n).
4*n*(n - 1)**2*(n + 2)**2
Let g(v) be the second derivative of 1/42*v**4 + 0 - 1/7*v**3 - v + 0*v**2. Factor g(y).
2*y*(y - 3)/7
Suppose 3 - 2 = -h. Let j(g) = 4*g**4 + 28*g**3 - 28*g**2 - 28*g - 24. Let a(s) = s**3 - s**2 - s - 1. Let t(v) = h*j(v) + 24*a(v). Factor t(u).
-4*u*(u - 1)*(u + 1)**2
Let i be ((-6)/(-16))/(3*(-5)/(-120)). Let h(f) be the third derivative of 1/30*f**5 + 1/6*f**4 + 6*f**2 + 0 + 0*f**i + 0*f. Factor h(u).
2*u*(u + 2)
Factor -3/2*g**4 - 12*g + 0 - 9*g**3 - 18*g**2.
-3*g*(g + 2)**3/2
Let x(f) = 27*f**2 + 266*f - 35. Let l be x(-10). Solve -416/3*v**2 - 4 + 122/3*v + 32/3*v**l + 182*v**3 - 272/3*v**4 = 0.
1/4, 1, 6
Let r(t) be the second derivative of t**6/15 - t**5/10 - 7*t**4/6 + t**3/3 + 6*t**2 + 187*t. What is j in r(j) = 0?
-2, -1, 1, 3
Suppose 4/5*b + 0*b**3 + 8/5*b**4 - 4/5*b**5 + 0 - 8/5*b**2 = 0. What is b?
-1, 0, 1
Suppose -3*p - 4*l = -14, 2*p + 4*l = -2*p + 16. Find v such that -126*v - 2*v**2 + 24*v**4 + 34*v**3 + 0*v**2 + p + 116*v = 0.
-1, 1/4, 1/3
Suppose 4 = -22*p + 114. Let z(a) be the second derivative of -2*a - 1/10*a**p + 0 + a**2 + 1/3*a**3 - 1/6*a**4. Factor z(x).
-2*(x - 1)*(x + 1)**2
Let y(q) be the first derivative of q**4/15 - 2*q**3/3 - 12*q**2/5 + 28*q - 17. Let c(z) be the first derivative of y(z). Factor c(h).
4*(h - 6)*(h + 1)/5
Let -9*w**2 - 21*w**2 + 24*w - 11*w**3 + 11*w + 6*w**3 = 0. Calculate w.
-7, 0, 1
Let h be (4 - (-35)/(-10))*6. Let k(y) be the third derivative of -1/24*y**4 + 0*y**h + 0*y + 7*y**2 + 0 - 1/120*y**5. Suppose k(l) = 0. Calculate l.
-2, 0
Let w(r) = -r**3 - 6*r**2 - r + 4. Let a(i) = i**3 + 8*i**2 + i - 5. Let v(s) = -4*a(s) - 5*w(s). Factor v(l).
l*(l - 1)**2
Let a(d) be the first derivative of 1/4*d**2 + 0*d**5 + 1/12*d**6 - 1/4*d**4 + 7 + 0*d + 0*d**3. Factor a(n).
n*(n - 1)**2*(n + 1)**2/2
Suppose -2*y + 6 = -w, y + 2*w + 7 = 5*w. Let m(d) = 20*d**3 - 36*d - 24. Let u(n) = -13*n**3 + 24*n + 16. Let q(f) = y*m(f) + 8*u(f). Factor q(s).
-4*(s - 2)*(s + 1)**2
Let x be -5*6/75 - (-27)/5. Let t(w) be the third derivative of 0*w**3 - 1/60*w**4 - 1/150*w**x + 0*w - w**2 + 0. Fa