7
Let 4/5*r**2 + 4/5*r**3 + 0 - 8/5*r = 0. Calculate r.
-2, 0, 1
Suppose t - 4 = -2. Factor g**2 - 5*g**2 - g**3 + 3 + g**t - 3*g - 4.
-(g + 1)**3
What is v in v**3 + 8*v - 8*v**2 + 2*v**3 - 5*v**3 + 0*v**3 + 2*v**4 = 0?
-2, 0, 1, 2
Let j(t) be the third derivative of -2*t**7/105 - t**6/5 - 13*t**5/15 - 2*t**4 - 8*t**3/3 - 6*t**2. Find b such that j(b) = 0.
-2, -1
Let c(h) be the third derivative of -h**10/151200 + h**9/20160 - h**8/10080 - h**5/30 + 2*h**2. Let i(k) be the third derivative of c(k). Factor i(o).
-o**2*(o - 2)*(o - 1)
Let o(g) = -11*g**2 + 9*g - 1. Let z = 9 - 12. Let j(n) = -34*n**2 + 28*n - 4. Let a(v) = z*j(v) + 10*o(v). Factor a(x).
-2*(x - 1)*(4*x + 1)
Let l(n) = -n**2 - 3*n. Let a be l(-3). Find i such that -3/2*i**2 + 0*i**3 + 3/4*i**4 + 3/4 + a*i = 0.
-1, 1
Let f be 2*(-6)/(-7) - 5 - -5. Find i, given that 0 + 16/7*i**4 + f*i**3 - 2/7*i + 0*i**2 + 6/7*i**5 = 0.
-1, 0, 1/3
Let i be (-7)/(-4) + (-2)/8. Find t, given that i*t - 3/2 - 3/2*t**3 + 3/2*t**2 = 0.
-1, 1
Let r = -6 - -9. Factor -6*w**2 - 4 - 8*w + w**2 - 4*w**r + 3*w**3.
-(w + 1)*(w + 2)**2
Let d = 100 + -94. Factor -4*m + d + 2/3*m**2.
2*(m - 3)**2/3
Let q(d) = -d**4 + 7*d**3 - 21*d**2 - 5. Let o(j) = -j**4 + 3*j**3 - 11*j**2 - 3. Let h(t) = -10*o(t) + 6*q(t). Factor h(p).
4*p**2*(p - 1)*(p + 4)
Let y = -43 - -25. Let b = -15 - y. Let 0 - 2*i**b + 2*i**2 + 0*i + 1/2*i**4 = 0. What is i?
0, 2
Let d be ((-12)/(-7) - 2)/(-7 - -3). Let b(f) be the second derivative of -4*f + 0 - d*f**5 + 2/7*f**2 - 3/7*f**3 + 2/7*f**4. Determine k, given that b(k) = 0.
2/5, 1
Determine w, given that 3/5*w**3 - 3*w + 9/5 + 3/5*w**2 = 0.
-3, 1
Let 0*x - 7*x + 3*x**2 + 7*x = 0. Calculate x.
0
Let a = 6 - 3. Find q such that q + 2*q**2 + 4*q**2 - a*q = 0.
0, 1/3
Let c(s) = 5*s**2 - s. Let v be c(-1). Let h(i) be the second derivative of i**2 - 3/10*i**5 - 2/15*i**v + 0 + 1/6*i**4 + i**3 - i. Find p such that h(p) = 0.
-1, -1/2, 1
Let 2*z**4 + 7*z**4 - z**5 - 2*z**5 - 9*z**3 + 3*z**2 = 0. What is z?
0, 1
Let x(u) be the second derivative of 0 + 1/3*u**3 + 1/3*u**4 - 1/2*u**2 + u + 1/10*u**5. Let t(i) be the first derivative of x(i). Factor t(z).
2*(z + 1)*(3*z + 1)
Let p(b) be the third derivative of 7*b**6/144 - 31*b**5/360 - b**4/18 + b**3/9 + 10*b**2. Let p(r) = 0. What is r?
-2/5, 2/7, 1
Let v = 98 - 95. Let y(m) be the third derivative of 1/60*m**4 - 1/300*m**6 + 1/150*m**5 - m**2 + 0 - 1/15*m**v + 0*m. Factor y(j).
-2*(j - 1)**2*(j + 1)/5
Let a(v) = -v**3 - 4*v**2 + 2. Let p be a(-4). Factor 2/5*q**3 + 2/5*q**p - 2/5*q - 2/5.
2*(q - 1)*(q + 1)**2/5
Let d(g) be the first derivative of 5 + 9/5*g + 1/15*g**3 + 3/5*g**2. Let d(n) = 0. What is n?
-3
Let a(z) be the third derivative of -2*z**2 + 0*z + 1/24*z**4 + 0 + 1/360*z**6 + 1/18*z**3 + 1/60*z**5. Factor a(o).
(o + 1)**3/3
Suppose 2*o = 3*m - 11, -4*o + 5*o - m + 3 = 0. Suppose -s + o = -2*n, -5*s - 3*n - 6 = -3. Suppose 0*z - 1/3*z**2 + s = 0. Calculate z.
0
Let o(l) be the first derivative of 5*l**3 - 55*l**2/2 - 20*l + 4. Factor o(b).
5*(b - 4)*(3*b + 1)
Let 4/9*s + 2/3*s**2 - 2/9*s**3 - 2/9*s**5 + 0 - 2/3*s**4 = 0. Calculate s.
-2, -1, 0, 1
Let o be (48/(-40))/((-6)/15). Let 0*a**2 + a**4 + 0*a + 0 - 1/2*a**5 - 1/2*a**o = 0. What is a?
0, 1
Let i(c) be the third derivative of -c**5/15 - c**4/3 - 26*c**2. What is y in i(y) = 0?
-2, 0
Let b(h) be the third derivative of -h**8/20160 + h**7/1680 - h**6/360 + 2*h**5/15 - 4*h**2. Let i(u) be the third derivative of b(u). Factor i(k).
-(k - 2)*(k - 1)
Suppose -g + 4*m = 3*g + 24, 2*g - 5*m + 18 = 0. Let c be g/6*3/(-2). Factor -2*o**2 + 1 - o + 3*o - c.
-2*o*(o - 1)
Factor 2*k**3 - 25*k - 4*k**3 - 16 + k - 12*k**2.
-2*(k + 2)**3
Determine u so that -35 + 15*u**2 - 5*u**3 + 3 + 12 = 0.
-1, 2
Let a(d) = -6*d**4 - 2*d**3 + 9*d**2 + 5*d + 5. Let k(m) = 5*m**4 + m**3 - 8*m**2 - 4*m - 4. Let b(l) = -4*a(l) - 5*k(l). Solve b(v) = 0.
-1, 0, 4
Let 3/5*b**4 - 18/5*b**3 - 36/5 + 27/5*b**2 + 12/5*b = 0. Calculate b.
-1, 2, 3
Let b(z) be the first derivative of 2*z**5/7 + 3*z**4/14 - 4*z**3/21 - 5. Factor b(o).
2*o**2*(o + 1)*(5*o - 2)/7
Let g(i) be the first derivative of i**6/30 + 3*i - 3. Let c(h) be the first derivative of g(h). Solve c(t) = 0.
0
Let c be 6/(-39) + (-56)/(-26). Let k be (-4)/c - (4 + -8). What is l in 0 - 3/5*l**3 + 0*l**k + 0*l + 3/5*l**5 + 0*l**4 = 0?
-1, 0, 1
Solve 8*f**5 + 14*f**4 + 30*f - 6*f**2 - 20*f**5 + 6*f**3 - 32*f = 0 for f.
-1/2, -1/3, 0, 1
Determine r, given that 16/13 - 12/13*r**4 + 2/13*r**5 - 24/13*r - 4/13*r**2 + 22/13*r**3 = 0.
-1, 1, 2
Let o(q) be the first derivative of q**6/2520 - q**5/840 - q**4/84 + q**3/3 - 5. Let f(r) be the third derivative of o(r). Let f(i) = 0. Calculate i.
-1, 2
Let m(i) be the third derivative of -i**6/30 + i**5/30 - i**4/8 + 5*i**3/6 + 4*i**2. Let o(d) = -d**3 + d**2 - d + 1. Let p(n) = -m(n) + 5*o(n). Factor p(z).
-z*(z - 2)*(z - 1)
Let y be 1*((-7)/(-2) - (0 + 3)). Suppose -1/2*f**2 + y - 2*f**3 + 2*f = 0. Calculate f.
-1, -1/4, 1
Suppose 2*c - 8 = m, -3*c + 23 = m + 6. Suppose -2/13*v**4 + 2/13*v**3 + 0 + 0*v + 2/13*v**2 - 2/13*v**c = 0. What is v?
-1, 0, 1
Let j = -7 + 17. Suppose 4*i - 6*i = -j. Factor 2*x**i + x + 0*x**3 - 4*x**3 + x.
2*x*(x - 1)**2*(x + 1)**2
Let t(h) = 8*h**3 + 104*h**2 + 445*h + 605. Let k(y) = 20*y**3 + 260*y**2 + 1112*y + 1512. Let n(r) = -5*k(r) + 12*t(r). Factor n(u).
-4*(u + 3)*(u + 5)**2
Let t(g) = g + 27*g**2 + 8*g + 15 + 6*g. Let j(v) = 3 + 5*v**2 + 2*v**2 + 4*v + 1. Let k(n) = -15*j(n) + 4*t(n). Factor k(x).
3*x**2
Let a = 1882/5 - 376. Factor 0*v + 0 + 0*v**3 - a*v**4 + 2/5*v**2.
-2*v**2*(v - 1)*(v + 1)/5
Let i(a) = -a**2 - 9*a + 6. Let h be i(-7). Suppose 4*m = 4*k - 16, 0*m - h = -4*k + 5*m. Let 2/7*x**2 + 2/7*x**3 + k + 0*x = 0. Calculate x.
-1, 0
Let o**2 - 3*o**2 - 2*o**2 + 6*o**3 - 2*o**4 + 2*o - 2*o**2 = 0. Calculate o.
0, 1
Let i(m) be the second derivative of -m**7/1260 + m**5/60 + m**4/6 - 3*m. Let r(p) be the third derivative of i(p). Suppose r(b) = 0. Calculate b.
-1, 1
Let t(c) be the second derivative of -5*c**7/42 + 4*c**6/15 - c**5/20 - c**4/6 - 20*c. Factor t(w).
-w**2*(w - 1)**2*(5*w + 2)
Suppose 0 = -0*q + 5*q - 770. Let w = q + -1384/9. Factor -14/3*v**4 - 2*v**5 - w + 2/3*v + 4/3*v**2 - 20/9*v**3.
-2*(v + 1)**3*(3*v - 1)**2/9
Suppose 4*x = -x + 40. Let v = x - 6. Suppose 5 + v*l**3 - 5 - 6*l**2 + 4*l = 0. What is l?
0, 1, 2
Let b(i) be the second derivative of i**5/90 - 5*i**4/54 - 2*i**3/9 - 39*i. Let b(r) = 0. What is r?
-1, 0, 6
Let w(c) be the second derivative of c**4/108 - 2*c**2/9 + 39*c. Let w(h) = 0. What is h?
-2, 2
Let g(z) be the second derivative of -4*z**5/45 - z**4/9 - z**3/27 - 6*z. Find v, given that g(v) = 0.
-1/2, -1/4, 0
Let n = 2 + -1. Let y = -17 + 19. Suppose n - p**y - 2*p + p**3 - p + 2*p = 0. What is p?
-1, 1
Let m be 0/(4/(-4 - 0)). Let o(n) be the first derivative of -1/5*n**5 + 0*n**3 + 1/2*n**4 + 0*n + m*n**2 + 1. Factor o(w).
-w**3*(w - 2)
Let o(i) be the second derivative of i**6/30 + i**5/10 + i**4/12 + 6*i. Factor o(v).
v**2*(v + 1)**2
Suppose 4*c = -c - 60. Let q be ((-45)/(-21))/(c/(-8)). What is w in -50/7*w**3 + 8/7 + 32/7*w + q*w**2 = 0?
-2/5, 1
Let x be 42/56 - (-13)/4. Suppose -6 = -0*b - 2*b + y, -y = 2. Factor -2*a**x + 3*a**4 - b*a**4 + a + 0*a + 3*a**3 - 3*a**2.
-a*(a - 1)**3
Let q(h) = h**3 - 1. Let m(y) = -y**2 + 3*y**2 + 4*y**2 - 2 + 0*y**2. Let g(n) = -m(n) + 2*q(n). Factor g(s).
2*s**2*(s - 3)
Let l(s) = 3*s**5 - 14*s**4 - 2*s**3 + 14*s**2 - 6*s - 5. Let f(w) = -3*w**5 + 15*w**4 + 3*w**3 - 15*w**2 + 6*w + 6. Let m(n) = 5*f(n) + 6*l(n). Solve m(r) = 0.
-1, 0, 1, 2
Let q(c) = 4*c**4 - 9*c**3 - 3*c**2 + 54*c - 78. Let a(w) = 5*w**4 - 10*w**3 - 4*w**2 + 54*w - 77. Let u(o) = 3*a(o) - 4*q(o). Suppose u(k) = 0. Calculate k.
-3, 3
Let m be (-21)/(-12) + 1/4. Suppose 3*i - 5 = 3*h + m*i, -25 = -5*i. Let 4*b - 14*b**3 + h*b + 0*b + 10*b**2 = 0. Calculate b.
-2/7, 0, 1
Let n(k) be the second derivative of -1/18*k**3 + 0 + 1/60*k**5 + 5*k - 1/3*k**2 + 1/18*k**4. Solve n(o) = 0 for o.
-2, -1, 1
Let g(p) be the third derivative of 9/80*p**6 + 0*p**3 + 0 + 2/7*p**7 + 1/8*p**4 + 1/14*p**8 + 0*p + 8*p**2 - 13/40*p**5. Solve g(h) = 0 for h.
-2, -1, 0, 1/4
Let h be ((-94)/(-6))/(26/(-3)). Let z = -4/13 - h. Factor 1/2*g**3 + 0 - z*g**4 +