-(h + 1)**3
Let r(l) = l**3 - 11*l**2 - 11*l - 7. Let k be r(12). Suppose -k*f + w = -28, 3*f + 4*w = w + 24. Solve 3*x - 2*x**3 - 5*x + 2*x + f*x**2 - 8 = 0 for x.
-1, 2
Let s be (-15)/4 + 6/(-24). Let k = s + 6. Factor -12 + u**2 - 12*u**2 + 4*u**4 - 13*u**k - 32*u.
4*(u - 3)*(u + 1)**3
Let l = -2207 + 2211. Factor 2/3*m**2 + 2/3*m**5 + 0*m + 0 - 2/3*m**3 - 2/3*m**l.
2*m**2*(m - 1)**2*(m + 1)/3
Suppose 1 = -3*j + 4*u + 37, u + 3 = 0. Suppose -4*v + j = -0. Find p such that 2*p - p**2 + 4*p**3 + 5*p**2 - 3*p**3 - 7*p**v = 0.
0, 1, 2
Let c be ((-7026)/(-14))/3 - (44 + -41). Let h = c + -164. Let -2/7*l**3 + h*l**5 + 0*l + 4/7*l**4 + 0 - 4/7*l**2 = 0. What is l?
-2, -1, 0, 1
Let j(y) = 13*y**3 + 179*y**2 + 346*y + 189. Let c(s) = -3*s**3 - 45*s**2 - 87*s - 47. Let r(u) = -9*c(u) - 2*j(u). Suppose r(h) = 0. What is h?
-45, -1
Let j(k) = -6*k**4 + 34*k**3 - 38*k**2 - 26*k + 16. Let x(r) = r**3 + 3*r + 1. Let o(l) = -j(l) - 4*x(l). Factor o(y).
2*(y - 5)*(y - 1)**2*(3*y + 2)
Let m = -1993 - -1996. Let v(f) be the first derivative of -f**3 - 3/4*f**4 + m*f**2 - 4 + 0*f. Factor v(n).
-3*n*(n - 1)*(n + 2)
Suppose -3*h - 3/4*h**2 - 3 = 0. Calculate h.
-2
Let h(q) be the third derivative of q**7/735 - q**6/60 + 11*q**5/210 - 5*q**4/84 - 260*q**2. Solve h(x) = 0.
0, 1, 5
Suppose 64/5 - 156/5*t**3 + 184/5*t**2 - 10*t**4 + 18/5*t**5 + 336/5*t = 0. What is t?
-2, -1, -2/9, 2, 4
Let g(u) = -6*u - 21. Let c be g(-6). Suppose 2 = -5*d - 4*w, 3*d + w - c = 4*w. Factor 6*l**2 - l**d - 3*l**2 + 4*l - 4*l**2.
-2*l*(l - 2)
Let m(u) be the third derivative of -u**5/120 + 3*u**4/16 + 3*u**3 + 206*u**2 - 2*u. Factor m(f).
-(f - 12)*(f + 3)/2
Suppose 19*u - 21*u + 12 = 0. Let n = 0 + 2. Factor 9*b**3 + 0*b**3 - u*b**n + 3*b + 3*b**2 - 3*b**4 - 6*b**2.
-3*b*(b - 1)**3
Let i(z) be the third derivative of -z**11/776160 + z**9/141120 + z**5/20 + 2*z**2. Let a(u) be the third derivative of i(u). Factor a(d).
-3*d**3*(d - 1)*(d + 1)/7
Let f = 249/1067 + -5/97. Determine b so that -6/11*b**2 - 4/11*b**3 + 0*b + 0 + f*b**4 = 0.
-1, 0, 3
Let f(v) = 5*v**3 - v**2 + 4*v + 1. Let k = -22 - -40. Let t(r) = -r**3 - r. Let c(s) = k*t(s) + 4*f(s). Factor c(u).
2*(u - 2)*(u - 1)*(u + 1)
Let k(o) = -3*o**2 + 17*o + 8. Let p(y) = 31*y**2 + 29*y**2 + 0*y - 3 - 59*y**2 - 6*y. Let q(i) = -4*k(i) - 11*p(i). Find m, given that q(m) = 0.
1
Let v be 5/33 - (-66)/363. Let f(d) be the first derivative of 0*d + 1/18*d**6 - 1/3*d**3 - v*d**2 - 1 + 1/12*d**4 + 1/5*d**5. Solve f(r) = 0 for r.
-2, -1, 0, 1
Factor -31*f**2 + 30*f + f**3 - 18502 + 18502.
f*(f - 30)*(f - 1)
Suppose -3*t = -5*v + 5 + 65, 0 = -t - 5. Factor 2*d + 5*d**3 - 16*d**2 - v*d**2 + 12*d**2 + 8*d.
5*d*(d - 2)*(d - 1)
Let l = -44 - -40. Let s be (-120)/20 - 34/l. Factor 0*a + 0 - s*a**2 - 5/2*a**3.
-5*a**2*(a + 1)/2
Let f(b) = -b + 1. Let d be f(-3). Let j(t) be the second derivative of 1/90*t**5 + 1/27*t**3 + 0 + 1/27*t**d + 8*t + 0*t**2. Factor j(k).
2*k*(k + 1)**2/9
Factor a**2 - 57 + 90*a - 9*a**2 - 28 + 3*a**2.
-5*(a - 17)*(a - 1)
Let w(c) be the second derivative of -15*c + 0*c**2 + 1/15*c**6 + 0 - 3/10*c**5 + 1/2*c**4 - 1/3*c**3. Factor w(o).
2*o*(o - 1)**3
Let l(c) be the third derivative of -c**5/30 - 9*c**4/2 - 53*c**3/3 - 10*c**2. Solve l(w) = 0 for w.
-53, -1
Let r(t) = -8*t**4 + 39*t**3 - 73*t**2 - 3*t + 6. Let n(j) = -17*j**4 + 76*j**3 - 147*j**2 - 7*j + 14. Let d(g) = 3*n(g) - 7*r(g). Let d(m) = 0. Calculate m.
0, 2, 7
Let s(k) = -9*k**3 + 193*k**2 + 14*k - 193. Let g(c) = 8*c**3 - 192*c**2 - 12*c + 192. Let x(n) = 5*g(n) + 4*s(n). Solve x(j) = 0 for j.
-1, 1, 47
Let h(m) = 22*m**3 + 28*m**2 + 50*m + 8. Suppose 7*w - 9*w - 10 = 0. Let k(x) = 9*x**3 + 11*x**2 + 20*x + 3. Let r(c) = w*h(c) + 12*k(c). Factor r(g).
-2*(g + 1)**2*(g + 2)
Suppose -8*h + 5*h - 33 = 0. Let f be 8/48 + h/(-6). Factor -x**3 - 2*x**5 + f*x - x**3 + 4*x**4 - 2*x.
-2*x**3*(x - 1)**2
Let g(a) be the second derivative of -a**7/21 + 4*a**6/15 + 13*a**5/5 + 22*a**4/3 + 31*a**3/3 + 8*a**2 + 28*a - 2. Factor g(p).
-2*(p - 8)*(p + 1)**4
Factor 0 - 6/17*g**4 + 2/17*g**5 - 30/17*g**3 - 2*g**2 - 12/17*g.
2*g*(g - 6)*(g + 1)**3/17
Let c(o) be the second derivative of 0*o**2 - 5/4*o**4 - 1/10*o**6 - 3/5*o**5 - 16*o - o**3 + 0. Determine h so that c(h) = 0.
-2, -1, 0
Suppose 2*j - 7 = -j - 5*a, 4*j - 20 = 4*a. Suppose 3*w - 2*w = 4, -n - j = -2*w. Factor -4*s + 2*s**2 - n*s + 6 + 2*s - 2.
2*(s - 2)*(s - 1)
Let p(o) = o**3 + o**2 + 1. Let n(v) = v**5 - v**4 + 2*v**3 + 4*v**2 + 7. Let x(w) = 2*n(w) - 14*p(w). Factor x(m).
2*m**2*(m - 3)*(m + 1)**2
Let q(m) be the second derivative of -m**4/6 + m**3/6 + 3*m**2/2 + 244*m. Factor q(t).
-(t + 1)*(2*t - 3)
Let q(u) be the second derivative of u**5/30 - 37*u**4/9 + 1369*u**3/9 + 448*u. What is t in q(t) = 0?
0, 37
Let o(n) = -3*n**3 - 50*n**2 - 100*n - 5 - 120*n - 365. Let a(x) = x**2 - x - 1. Let v(p) = 5*a(p) + o(p). Factor v(u).
-3*(u + 5)**3
Let k(a) be the second derivative of -a**5/70 - a**4/14 + 4*a**2/7 + 3*a - 8. Factor k(i).
-2*(i - 1)*(i + 2)**2/7
Let y(k) = k**3 - 13*k**2 + 22*k + 2. Let x be y(11). Let 54*o - 5*o**x - 85*o + 56*o = 0. What is o?
0, 5
Let d = 1/802 - -6001/11228. Let z = -81/308 + d. Find n, given that -2/11*n - 1/11*n**2 + z = 0.
-3, 1
Let n(k) be the second derivative of 2*k**5/5 - 37*k**4/3 - 206*k**3/3 - 84*k**2 + 13*k + 8. Find o, given that n(o) = 0.
-2, -1/2, 21
Factor 0*l - 2/11*l**2 + 0.
-2*l**2/11
Let v = 381 - 583. Let k = 1454/7 + v. Factor 0*t**4 - 54/7*t**5 + 16/7 - 20/7*t**2 - k*t + 90/7*t**3.
-2*(t + 1)**2*(3*t - 2)**3/7
Suppose -20 = -x - 3*x. Suppose 3*c = x*q - 18 - 3, 0 = 5*c + 10. Factor -2*v**2 + 7 - 6*v - q - 2*v**4 + 101*v**3 - 95*v**3.
-2*(v - 2)*(v - 1)**2*(v + 1)
Let z(b) be the second derivative of -b**9/15120 + b**8/960 - 2*b**7/315 + b**6/60 + 23*b**4/12 + b. Let s(f) be the third derivative of z(f). Factor s(r).
-r*(r - 3)*(r - 2)**2
Let y(b) be the first derivative of -b**7/1120 + b**6/240 - b**5/160 - 10*b**3/3 + 16. Let m(q) be the third derivative of y(q). Factor m(o).
-3*o*(o - 1)**2/4
Suppose 5*s + 11 = 3*r, -3*s = 6 - 3. Suppose -2 = -r*v + 4. Factor 13*j**3 + 32*j + 16*j**2 - 50*j**2 - 8 - 3*j**v.
2*(j - 2)*(j - 1)*(5*j - 2)
Let z(n) be the third derivative of 1/20*n**5 + 0*n + 9*n**2 - 1/2*n**3 + 0 + 1/40*n**6 - 1/8*n**4. Let z(s) = 0. Calculate s.
-1, 1
Find z, given that -12*z**3 + 119*z + 221*z**2 + 118*z + 48 - 44*z**2 = 0.
-1, -1/4, 16
Let x(w) be the first derivative of -5*w**4/3 - 56*w**3/9 - 26*w**2/3 - 16*w/3 - 3. Factor x(v).
-4*(v + 1)**2*(5*v + 4)/3
Let k be 561/34 - (1 + 12). Factor x**4 - 3*x**2 - 1 - 1/2*x**3 + k*x.
(x - 1)**2*(x + 2)*(2*x - 1)/2
Let q = -19 + 22. Let z(y) be the first derivative of 4*y**q + y**4 - 2*y**2 + 5*y**3 - 3 - 9*y**3. Factor z(m).
4*m*(m - 1)*(m + 1)
Let g(y) = -7*y + 0*y**3 + y**3 - 36 - 7*y**2 + 30. Let t be g(8). Let l**t - 4*l**2 + 9*l**4 - 7*l**2 + l**2 + 24*l**3 = 0. What is l?
-3, 0, 1/3
Factor -4 + 4 + 19*u**2 + 12*u**2 - 18*u**2 + 2*u**3 - 7*u.
u*(u + 7)*(2*u - 1)
Let j = -3064/7 - -27604/63. Factor 2/9 - j*k + 2/9*k**2.
2*(k - 1)**2/9
Let d(o) be the second derivative of 1/2*o**4 - 3/10*o**5 - 3/2*o**2 - 1/10*o**6 + 1/14*o**7 + 1/2*o**3 - 5*o + 0. Factor d(l).
3*(l - 1)**3*(l + 1)**2
Suppose -4*s - 22 = x, 5*s = -x - 13 - 14. Let h be x/(3 + -1)*-4. Solve -4*k**2 + 4*k - 4*k**2 - k**5 - 3*k**5 + 8*k**h = 0 for k.
-1, 0, 1
Let a(y) be the first derivative of -y**3 + 9*y**2 - 15*y - 72. Factor a(g).
-3*(g - 5)*(g - 1)
Let j(o) be the second derivative of -o**6/75 - o**5/25 + o**4/10 + 95*o. Factor j(i).
-2*i**2*(i - 1)*(i + 3)/5
Let p(a) be the second derivative of -7*a**6/30 - 17*a**5/5 - 23*a**4/3 + 16*a**3/3 - 20*a + 1. Factor p(n).
-n*(n + 2)*(n + 8)*(7*n - 2)
Suppose -861*j = -886*j + 125. Find f such that -6/5*f**2 - 3/5*f + 6/5*f**3 - 3/5*f**j + 3/5 + 3/5*f**4 = 0.
-1, 1
Let w be 70110/(-99) + (-4)/(-22). Let u be 2/(-9) - w/270. Solve -243/5*z**2 - u - 108/5*z = 0 for z.
-2/9
Suppose -4*l + 0*l = -12. Factor h**2 + l*h**5 + h - 2*h**5 - 3*h**2 - 2*h + 2*h**4.
h*(h - 1)*(h + 1)**3
Let b(t) be the first derivative of -2*t**3/15 - 7*t**2/5 - 24*t/5 + 164. Factor b(f).
-2*(f + 3)*(f + 4)/5
Let k(a) be the second derivative of a**8/36960 - a**7/1540 + a**6/264 - 7*a**5/660 + 11*a**4/4 + a + 7