et p(m) = -7*m**4 - 35*m**3 + 63*m**2 - 37*m + 5. Let z(t) = -22*b(t) + 6*p(t). Find w, given that z(w) = 0.
1, 2
Solve 1/3*v**4 + 0*v**3 - 3*v**2 - 4/3*v + 4 = 0 for v.
-2, 1, 3
Let l be ((-12)/(-9))/(40/9 + -4). Let 2/7*c**4 + 2/7*c + 6/7*c**2 + 6/7*c**l + 0 = 0. Calculate c.
-1, 0
Let d(s) = s**5 + s**4 + 3*s**3 - 13*s**2 - 4*s. Let y(m) = -m - 10. Let z be y(-9). Let j(u) = u**5 - u**4 - u**2 - u. Let q(r) = z*d(r) + 6*j(r). Factor q(b).
b*(b - 1)**2*(b + 1)*(5*b - 2)
Let j(l) be the third derivative of l**9/151200 - l**8/8400 + l**7/1400 - l**5/30 - l**2. Let k(s) be the third derivative of j(s). Factor k(y).
2*y*(y - 3)**2/5
Let x(o) be the first derivative of o**8/840 - o**6/180 + 7*o**3/3 - 4. Let n(j) be the third derivative of x(j). What is a in n(a) = 0?
-1, 0, 1
Let u(n) = -4*n**3 - n - 2. Let f be u(-1). Factor 0 - 1/2*k**2 - 1/2*k**4 - k**f + 0*k.
-k**2*(k + 1)**2/2
Let g(i) = 0*i**2 + 14*i + 1 + 4 + 3*i**2 - 2*i**2. Let o be g(-14). Suppose 0*n**o - 8*n**3 + 5*n**3 + 2*n**5 + 3*n**4 - 3*n**5 + n**2 = 0. What is n?
0, 1
Let u(g) be the first derivative of 1 + 0*g + 3/16*g**4 - 3/8*g**2 + 0*g**3. What is y in u(y) = 0?
-1, 0, 1
Let r be 100/650 + 4/(-26). Factor 0*q**3 - 1/4*q + r + 1/4*q**5 + 1/2*q**2 - 1/2*q**4.
q*(q - 1)**3*(q + 1)/4
Let g(s) be the second derivative of -11/90*s**6 + 0 + 2*s + 0*s**3 + 1/18*s**4 - 1/9*s**7 + 1/12*s**5 + 0*s**2. Let g(t) = 0. What is t?
-1, -2/7, 0, 1/2
What is r in 9*r - 3*r**2 - 2*r**2 + 8*r**2 = 0?
-3, 0
Let y = 43 + -40. Let v(s) = s**3 + s**2. Let b be v(-1). Let 1/2*u**2 - 1/2*u**y + b + 0*u = 0. What is u?
0, 1
Suppose -3*w + 0*t = 5*t - 38, 5*w - 3*t - 18 = 0. Factor -6*j + 6*j + 3*j**2 + w*j.
3*j*(j + 2)
Let a = -91 - -155. Let i be 1 - (a/(-20) + 3). What is w in 4/5*w - 2*w**3 + 0 + i*w**2 = 0?
-2/5, 0, 1
Let x(f) = -f**5 - f**4 + f**3 - f**2 - f + 1. Let i(o) = 16*o**5 - 28*o**4 + 36*o**3 - 16*o**2 + 10*o - 6. Let l(v) = -i(v) - 6*x(v). Factor l(z).
-2*z*(z - 1)**3*(5*z - 2)
Factor -2*h**2 - 7/4*h**4 + 0 + h - 19/4*h**3.
-h*(h + 1)*(h + 2)*(7*h - 2)/4
Let a(s) = s - 2. Let y be a(2). Suppose 0*x**2 - 2/7*x + 0*x**4 + 4/7*x**3 + y - 2/7*x**5 = 0. What is x?
-1, 0, 1
Let c be (23/322)/(3*2/24). Factor 0 + c*k**2 - 4/7*k.
2*k*(k - 2)/7
Let a = -38/21 + 15/7. Let -1/3*v**2 - a*v + 0 = 0. Calculate v.
-1, 0
Factor 6/7*p**3 + 2/7*p**5 - 6/7*p**4 + 0*p - 2/7*p**2 + 0.
2*p**2*(p - 1)**3/7
Let w(i) = i**2. Suppose s = -q - 4*q + 5, -3*s - 5 = -5*q. Let o be w(s). Factor 2/7*r**2 + o + 4/7*r.
2*r*(r + 2)/7
Solve -2/11*t + 4/11 - 2/11*t**2 = 0.
-2, 1
Suppose -2*p = 2*b - 4, 4*p - 3*p - 3 = -2*b. Suppose p = 5*q - 19. Solve 7*n**2 + 4*n - 2*n**4 + 2 - q*n**3 - 7*n**2 = 0 for n.
-1, 1
Let l = 76 - 76. Let x(y) be the third derivative of -2/3*y**3 - 1/6*y**4 + 0 - 1/60*y**5 - 3*y**2 + l*y. Factor x(f).
-(f + 2)**2
Let b be (-9)/27 + 16/12. Let h(s) be the first derivative of 1/3*s**3 + b + 1/3*s + 1/2*s**2 + 1/12*s**4. Factor h(x).
(x + 1)**3/3
Let g(t) be the third derivative of t**5/150 - t**4/60 + 5*t**2. Find h such that g(h) = 0.
0, 1
Let -2*b**4 + 2*b**2 - 99*b + 99*b - 2*b**5 + 0*b**4 + 2*b**3 = 0. What is b?
-1, 0, 1
Let p = -1/219 + 1099/876. Suppose -1/2 - w**2 + 1/4*w**3 + p*w = 0. Calculate w.
1, 2
Suppose -3*o + 35 = -3*v - 2*v, o - 4*v - 21 = 0. Factor o*f**5 + f**3 - f**3 - 3*f**4 - 2*f**5.
3*f**4*(f - 1)
Let a(y) be the third derivative of y**7/735 - 2*y**5/35 - 4*y**4/21 + 34*y**2. Find r such that a(r) = 0.
-2, 0, 4
Let b(k) be the third derivative of -2*k**7/105 - k**6/5 - 13*k**5/15 - 2*k**4 - 8*k**3/3 - 6*k**2. Factor b(o).
-4*(o + 1)**2*(o + 2)**2
Let f(a) be the first derivative of -1/11*a**4 + 0*a + 2/33*a**3 + 2/55*a**5 + 0*a**2 + 3. Let f(h) = 0. What is h?
0, 1
Let d(t) = t**2 + 14*t + 15. Let i(a) = -a**3 - 9*a**2 - 6*a + 3. Let f be i(-8). Let p be d(f). Factor 0 + 1/3*c**p - 2/3*c.
c*(c - 2)/3
Let o(y) = y. Let g(f) = -2*f**3 - 2*f**2 + 4*f. Suppose -5*a = l + 29, 2*l - l + a = -9. Let d(c) = l*o(c) + g(c). Solve d(u) = 0 for u.
-1, 0
Suppose 8*i - 3*i + 9 = -2*p, i + 3 = 0. Let s(x) be the first derivative of -2/9*x**3 + 0*x - 1/3*x**2 - p. Solve s(j) = 0.
-1, 0
Let q(h) be the third derivative of h**6/240 + 7*h**5/120 + h**4/6 - 4*h**3/3 + 14*h**2. Suppose q(x) = 0. What is x?
-4, 1
Let f(o) be the third derivative of -3*o**8/56 - 34*o**7/105 - 23*o**6/30 - 4*o**5/5 - o**4/12 + 2*o**3/3 + 10*o**2. What is w in f(w) = 0?
-1, 2/9
Let d be (-1)/(-3) - (-10)/6. Let t be 12/(12/2 + -4). Factor 0*g**d - g**4 + t*g**3 - g**2 - 4*g**3.
-g**2*(g - 1)**2
Let n(v) = 8*v**3 - 192*v**2 + 300*v - 152. Let o(x) = 3*x**3 - 77*x**2 + 120*x - 61. Let i(a) = -5*n(a) + 12*o(a). Let i(w) = 0. What is w?
1, 7
Let l(p) be the third derivative of 2*p**5/195 + p**4/52 - p**3/39 - 2*p**2. Factor l(v).
2*(v + 1)*(4*v - 1)/13
Solve 6*b**2 - 10/3*b**4 + 0 - 4/3*b + 4*b**3 = 0 for b.
-1, 0, 1/5, 2
Let o(t) be the second derivative of 0*t**2 - 1/6*t**4 - 2*t + 1/10*t**5 - 2/3*t**3 + 0. Find x, given that o(x) = 0.
-1, 0, 2
Let p = 3 + -4. Let i = 5 + p. Find k, given that -12*k**i - 2*k**2 + 2*k**2 + 11*k**4 - k**3 = 0.
-1, 0
Suppose 0 = -5*v + 12 + 8. Determine z, given that -2*z**5 + 2*z**4 - 4*z**5 + 3*z**5 + 4*z**v = 0.
0, 2
Let g(w) be the first derivative of -2*w**3/7 - w**2/7 - 10. Factor g(p).
-2*p*(3*p + 1)/7
Let w(j) = j**3 - 12*j**2 + 32*j + 2. Let f be w(8). Solve -2*s**3 + 2/3*s**4 - 4/3*s**f + s + 2/3 + s**5 = 0.
-1, -2/3, 1
Let j = -133/10 + 1201/90. Let g(l) be the second derivative of 1/18*l**3 + j*l**6 + 0 + l - 1/6*l**2 + 11/60*l**5 + 1/4*l**4. Find r, given that g(r) = 0.
-1, 1/4
Let j(m) be the second derivative of 1/30*m**5 - 4/3*m**2 + 2*m + 1/6*m**4 + 0*m**3 + 0. Solve j(z) = 0 for z.
-2, 1
Let h be (2 - 0)/(4/6). Let a = -6 + 8. Factor -a*z + 1/3 - 4/3*z**h + 3*z**2.
-(z - 1)**2*(4*z - 1)/3
Let c(w) be the first derivative of w**4/16 + 5*w**3/12 + 7*w**2/8 + 3*w/4 - 16. Factor c(b).
(b + 1)**2*(b + 3)/4
Let p be (-2)/6 - 20/(-6). Factor -54*f**p + 51*f**2 - 3*f - 3 + 3*f - 9 + 15*f**4.
3*(f - 2)*(f - 1)**2*(5*f + 2)
Let j(h) be the second derivative of h**6/30 + h**5/60 - h**4/12 - h**3/18 + 21*h. Factor j(u).
u*(u - 1)*(u + 1)*(3*u + 1)/3
Let w = 8194/7 + -1166. Factor 48/7*z + 4/7*z**3 + 24/7*z**2 + w.
4*(z + 2)**3/7
Let h(g) be the second derivative of 27*g**5/80 - 11*g**4/16 + g**3/4 + 2*g. Suppose h(o) = 0. Calculate o.
0, 2/9, 1
Let o(g) be the third derivative of -2*g**7/735 - g**6/70 + g**5/105 + g**4/14 + 8*g**2. Find m, given that o(m) = 0.
-3, -1, 0, 1
Suppose -j = -2*g - 36, -2*g + 52 = -5*g + 2*j. Let k be 15/g + 30/8. Suppose 1/4*b**5 + 1/4*b**k + 0*b**2 + 0*b - 1/2*b**4 + 0 = 0. What is b?
0, 1
Let r(d) = -d**3 - 4*d**2 - d - 4. Let y be r(-4). Suppose 0*j**2 + 2/7*j**4 - 4/7*j**3 + y + 0*j = 0. What is j?
0, 2
Suppose r + 13 = -0*i + 2*i, -31 = -5*i + 4*r. Let l = i - 4. Determine t so that -2/11*t - 4/11*t**2 + 4/11*t**4 + 0 + 2/11*t**l = 0.
-1, -1/2, 0, 1
Let m(h) be the first derivative of -3*h**5/25 + 3*h**4/10 + 3*h**3/5 - 6*h**2/5 - 12*h/5 - 2. What is c in m(c) = 0?
-1, 2
Let z be 85/34*(-2 - 0). Let v be -3*(5/6)/z. Factor 0 + 0*p - 4*p**4 + 3*p**3 - v*p**2.
-p**2*(2*p - 1)*(4*p - 1)/2
Let u(q) = -3*q**2 - 4*q - 4. Let y(v) = -v - 2*v**2 - 2*v - 9 + 6. Let h(a) = 3*u(a) - 4*y(a). Find p such that h(p) = 0.
0
Let s(h) be the third derivative of -h**8/336 - h**7/70 + h**5/15 + 11*h**2. Suppose s(c) = 0. Calculate c.
-2, 0, 1
Let x(j) be the first derivative of j**6/9 + 2*j**5/15 - j**4/3 - 4*j**3/9 + j**2/3 + 2*j/3 + 1. Suppose x(t) = 0. Calculate t.
-1, 1
Let r(q) be the first derivative of -q**7/70 - 3*q**6/40 - q**5/20 + 3*q**4/8 + q**3 + 2*q**2 - 1. Let i(v) be the second derivative of r(v). Solve i(o) = 0.
-2, -1, 1
Let d(h) be the second derivative of 0 + 0*h**2 + 10*h + 1/4*h**4 + 1/2*h**3. Suppose d(n) = 0. Calculate n.
-1, 0
Let w(m) = 9*m**3 + 7*m**2 - 2*m - 5. Let j(b) = 5*b**3 + 4*b**2 - b - 3. Let v(i) = 5*j(i) - 3*w(i). Factor v(c).
-c*(c + 1)*(2*c - 1)
Let q(n) = -n - 1. Let f(x) = -2*x**2 - 2*x + 6. Let u(v) = f(v) - 2*q(v). Solve u(y) = 0 for y.
-2, 2
Let f(n) = 3*n**3 + n**2 + 10*n + 7. Let b(v) = -4*v**3 - v**2 - 11*v - 8. Let r(k) = -5*b(k) - 6*f(k). Let r(z) = 0. Calculate z.
-1, -1/2, 2
Let t be 1*1/2*0. Let f be ((-10)/90)