 - 8*r**3 + 4*r - 2. Let j(n) = n**5 - n**3 - n**2 - 1. Let v(z) = -2*j(z) + q(z). Factor v(m).
2*m*(m - 2)*(m - 1)*(m + 1)**2
Let m = -10 - -14. Suppose 2*p + m*x = 3 - 19, -5*x - 23 = p. What is n in 6*n**3 - 3*n - n**3 - 4*n**p - 2*n**4 + 4*n = 0?
0, 1/2, 1
Let y(r) be the second derivative of r**4/33 - r**3/33 + 16*r. Factor y(u).
2*u*(2*u - 1)/11
Let m(b) = -2*b**4 - 4*b**3 + 4*b**2 - 2*b + 2. Let y(f) = 8*f**4 + 17*f**3 - 16*f**2 + 9*f - 9. Let d(v) = 9*m(v) + 2*y(v). Let d(h) = 0. What is h?
-2, 0, 1
Let i(w) be the first derivative of 1/15*w**2 + 0*w + 2/75*w**5 - 1 + 2/15*w**3 + 1/10*w**4. Factor i(b).
2*b*(b + 1)**3/15
Let u be (((-10)/(-28))/(-5))/(3/(-144)). Solve -4/7*w + 10/7*w**4 - u*w**3 + 18/7*w**2 + 0 = 0 for w.
0, 2/5, 1
Let y be ((-3)/(-5))/(8/6910). Let o = -515 + y. Solve -1 - 31/4*p**2 + o*p**3 + 7/4*p**4 - 5/4*p**5 + 5*p = 0.
-2, 2/5, 1
Let l be 2 - ((-1494)/(-20))/3. Let n = -45/2 - l. Find f, given that 2/5*f**2 + 2/5*f**3 - 2/5*f - n = 0.
-1, 1
Let g be 9/(-12) - (2 - (7 + -4)). Let a be -1 + (-10)/(-8) - 0. Suppose 1/2 + g*j - a*j**2 = 0. Calculate j.
-1, 2
Let q be -2 + 4 - 0/2. Let r(g) = -g + 6. Let m be r(6). Find a, given that -2/3 + m*a + 2/3*a**q = 0.
-1, 1
Let t(d) be the third derivative of d**8/336 - d**6/120 + d**2. Factor t(h).
h**3*(h - 1)*(h + 1)
Suppose -4*y + 27 = -3*j, -3*y - 12 = -2*y + 3*j. Determine s, given that -40*s**2 - 5*s - y*s - 42*s**3 + 50*s**5 + 40*s**4 + 0*s**2 = 0.
-1, -2/5, 0, 1
Let t be (0/(-6 + 2))/(3/1). Determine m so that 1/2*m + 1/2*m**2 + t = 0.
-1, 0
Let t(c) be the third derivative of -3*c**2 - 1/630*c**7 - 1/180*c**5 + 0*c**4 + 0 + 0*c**3 + 0*c + 1/180*c**6. Solve t(q) = 0.
0, 1
Let x = -13 + 18. Solve -9*t**2 + 0 + 3*t**4 + 1 + 3*t + 0*t + x - 3*t**3 = 0.
-1, 1, 2
Let f(a) be the third derivative of a**8/30240 - a**7/3780 + a**6/1080 - a**5/30 - a**2. Let y(l) be the third derivative of f(l). Factor y(g).
2*(g - 1)**2/3
Let r be -28*(-3)/(-45)*5/(-2). Let 4/3*w - r*w**4 - 8*w**3 + 0 - 2*w**2 = 0. What is w?
-1, 0, 2/7
Factor 0 + 2/5*v + 2/5*v**2.
2*v*(v + 1)/5
Let c(l) be the first derivative of -l**7/42 - l**6/15 + l**5/20 + l**4/6 + 6*l + 1. Let u(k) be the first derivative of c(k). Factor u(w).
-w**2*(w - 1)*(w + 1)*(w + 2)
Let t(n) be the second derivative of -2*n - 2/15*n**3 + 0 - 1/5*n**2 - 1/30*n**4. Factor t(p).
-2*(p + 1)**2/5
Let l(m) be the second derivative of m**7/1260 - m**6/60 + 3*m**5/20 - m**4/2 + 2*m. Let n(r) be the third derivative of l(r). Let n(v) = 0. Calculate v.
3
Let w(o) be the third derivative of 1/35*o**7 + o**2 + 1/4*o**4 - 1/3*o**3 - 1/30*o**6 + 0*o - 1/15*o**5 - 1/168*o**8 + 0. Factor w(u).
-2*(u - 1)**4*(u + 1)
Let z(c) = 3*c - 18. Let j be z(7). Find l such that -6*l**3 + 12/5*l**2 - 6/5*l**4 - 6/5 + 3*l + j*l**5 = 0.
-1, 2/5, 1
Let b(y) be the third derivative of 0*y**3 - 1/72*y**4 + 0 + 1/180*y**5 + 0*y - 2*y**2. Solve b(x) = 0 for x.
0, 1
Let i = 25/2 - 49/4. Determine d, given that 0*d - i*d**4 - 9/2*d**2 + 27/4 + 2*d**3 = 0.
-1, 3
Factor -14*k**5 + 3*k**4 - 19*k**5 + 32*k**5 - 2*k**4.
-k**4*(k - 1)
Suppose 2*d + 21 = -5*v, -2*d + 4*v + 9 + 15 = 0. Factor 4/7*l**d + 12/7*l + 8/7.
4*(l + 1)*(l + 2)/7
Let j(g) be the first derivative of g**6/120 + g**5/10 + 3*g**4/8 - 3*g**2/2 + 4. Let u(k) be the second derivative of j(k). Factor u(b).
b*(b + 3)**2
Let t(g) = 3*g - 5. Let r be t(4). Let a = r - 20/3. Determine n, given that -1/3*n**2 - 1/3*n**3 + a*n + 1/3 = 0.
-1, 1
Let h be 6/63*(-18)/(-4). Find y, given that 0 - h*y**4 - 15/7*y**3 - 24/7*y**2 - 12/7*y = 0.
-2, -1, 0
Factor -8/9*x**2 - 2/9*x**3 - 10/9*x - 4/9.
-2*(x + 1)**2*(x + 2)/9
Let y be 0 - 2*(-1414)/20. Let p = y + -141. Find r such that -2/5*r**3 - 3/5*r**2 + 0 + p*r + 3/5*r**4 = 0.
-1, 0, 2/3, 1
Suppose 0*p = -5*p + 15. Factor -3*a**p - 5*a**4 - a**5 + 4*a**4 + a**2 + 4*a**3.
-a**2*(a - 1)*(a + 1)**2
Let g(c) be the first derivative of 2*c**3/3 + 2*c**2 + 2*c + 43. Suppose g(w) = 0. Calculate w.
-1
Let i be (5/(-3))/(10/(-4)). Find m, given that i*m**2 + 0*m - 2/3 = 0.
-1, 1
Let z(b) be the second derivative of -b**7/70 + b**6/40 + 3*b**5/20 - b**4/8 - b**3 - b**2/2 - 2*b. Let a(j) be the first derivative of z(j). Factor a(m).
-3*(m - 2)*(m - 1)*(m + 1)**2
Suppose -3*j = -4*p + 16, 0*p - j + 4 = p. Let d be (2/3)/((-4)/(-78)). Let -4*c**5 + d*c**5 + 12*c**5 + 0*c**3 - 15*c**p - 6*c**3 = 0. Calculate c.
-2/7, 0, 1
Let t be (2*(-2)/2)/(4/(-16)). Factor 1/2 - 4*p + t*p**2.
(4*p - 1)**2/2
Let f(k) be the third derivative of k**6/30 - k**5/15 - k**4/6 + 2*k**3/3 - 3*k**2. Factor f(o).
4*(o - 1)**2*(o + 1)
Let u(s) be the first derivative of -s**3/3 - 4*s**2 - 1. Suppose 7 = 3*k + 4*i, 2*k - 4*k - i + 3 = 0. Let l(v) = v. Let d(a) = k*u(a) + 6*l(a). Factor d(r).
-r*(r + 2)
Let l(y) be the third derivative of y**6/90 + 2*y**5/45 + y**4/18 - 2*y**2. Factor l(o).
4*o*(o + 1)**2/3
Let b(q) be the second derivative of q**4/3 + 2*q**3/3 - 4*q. Let b(a) = 0. What is a?
-1, 0
Let q(g) be the first derivative of -g**5/30 - g**4/3 - 4*g**3/3 - 8*g**2/3 - 4*g - 1. Let u(o) be the first derivative of q(o). Factor u(b).
-2*(b + 2)**3/3
Let p = 94 - 93. Factor -1/2*u**5 - u**4 + u**3 + p + 7/2*u + 4*u**2.
-(u - 2)*(u + 1)**4/2
Find a such that 8*a**2 + 21 - 3*a**3 - 5*a**2 - 3*a**4 - 21 + 3*a**5 = 0.
-1, 0, 1
Let i(p) = -12*p - 82. Let r be i(-7). Let -14/5*t**2 - r*t - 2/5 - 6/5*t**3 = 0. Calculate t.
-1, -1/3
Let n(m) be the first derivative of -1/4*m**2 - m - 7 + 1/8*m**4 + 1/3*m**3. What is x in n(x) = 0?
-2, -1, 1
Let s(q) be the first derivative of 0*q + 1/24*q**4 - 1/3*q**3 + 1/2*q**2 + 1/60*q**5 - 4. Let v(l) be the second derivative of s(l). Factor v(r).
(r - 1)*(r + 2)
Let 1/2*b**5 - 12*b**2 + 9/2*b + 0 + 11*b**3 - 4*b**4 = 0. Calculate b.
0, 1, 3
Suppose u**2 + 89*u + 6 - 3*u**2 - 81*u + 4*u**2 = 0. What is u?
-3, -1
Let r(j) be the second derivative of j**4/4 + 4*j**3 + 24*j**2 + 3*j. Factor r(b).
3*(b + 4)**2
Let o(w) = -9*w**3 - 68*w**2 + 307*w - 243. Let b(l) = 4*l**3 + 34*l**2 - 154*l + 122. Let s(v) = 13*b(v) + 6*o(v). Suppose s(u) = 0. What is u?
1, 8
Let y(g) be the first derivative of -2/5*g**5 - 3 + 4/3*g**3 - 1/3*g**6 - 2*g - g**2 + g**4. Factor y(i).
-2*(i - 1)**2*(i + 1)**3
Let s(b) be the second derivative of -3*b**5/160 + b**4/32 + b**3/8 + 8*b. What is y in s(y) = 0?
-1, 0, 2
Let m(v) = -v**3 + 1. Let o(x) = 6*x**3 - 5. Suppose 2*k + 5 = w, -2*w + 3*k + 7 = 2*k. Let s(r) = w*o(r) + 15*m(r). Solve s(j) = 0 for j.
0
Let l be 1 - 1 - (-52)/28. Let o = 15/7 - l. Factor 0*f - o + 2/7*f**2.
2*(f - 1)*(f + 1)/7
Let l(k) = k**2 + k - 4. Let q be l(-3). Solve 0*j - 3*j**4 + 0*j + 3*j**q = 0.
-1, 0, 1
Let z(y) be the third derivative of y**6/210 - y**5/70 + y**3/21 + 4*y**2. Find s, given that z(s) = 0.
-1/2, 1
Suppose 3*l - 5 = 4. Suppose 2*a + 2 = -2*o, -l*o = -0*a + 2*a. Suppose -10/3*j**4 - 2/3*j**3 + o*j**5 + 0 - 4/3*j + 10/3*j**2 = 0. What is j?
-1, 0, 2/3, 1
Solve 4/7*x - 1/7*x**2 + 0 = 0.
0, 4
Let -2*q**2 + 65*q + 5*q**2 - 68*q - 11 - 7 = 0. Calculate q.
-2, 3
Suppose k**3 + 13*k + 17*k + 13*k + 1 - 40*k + 3*k**2 = 0. What is k?
-1
Let f(w) = -6*w**2 - w - 5. Let u(t) = t**2 - 1. Let x(r) = -r**2 - r - 8. Let b(d) = -4*u(d) + x(d). Let s(j) = -5*b(j) + 4*f(j). Factor s(h).
h*(h + 1)
Let w(b) be the first derivative of 2*b**3/9 - 4*b**2/3 + 2*b - 5. Suppose w(u) = 0. Calculate u.
1, 3
Let y(u) be the second derivative of -u**6/6 - 11*u**5/4 - 175*u**4/12 - 125*u**3/6 - 63*u. Factor y(c).
-5*c*(c + 1)*(c + 5)**2
Let j(v) = 10*v**5 - 3*v**4 + v**3 + 5*v**2. Let w = 25 + -29. Let n(m) = 9*m**5 - 4*m**4 + 4*m**2. Let g(d) = w*j(d) + 5*n(d). Suppose g(l) = 0. What is l?
-2/5, 0, 2
Let r(a) be the third derivative of 1/720*a**6 + 0*a**3 + 0*a + 0 + 1/1260*a**7 + 0*a**4 - 1/2016*a**8 - 1/360*a**5 + 5*a**2. Factor r(p).
-p**2*(p - 1)**2*(p + 1)/6
Let q(m) = m**3 - 7*m**2. Let u be q(6). Let j be (-116)/u + -3 + 0. Factor -2/9*k + j*k**2 - 4/9.
2*(k - 2)*(k + 1)/9
Let w(x) be the third derivative of x**6/280 - x**5/140 - x**4/56 + x**3/14 + 7*x**2. Factor w(t).
3*(t - 1)**2*(t + 1)/7
Let x = 95 + -91. Let s(a) be the second derivative of 0 + 0*a**3 + 0*a**2 + 3/100*a**5 - a - 1/20*a**x. Factor s(b).
3*b**2*(b - 1)/5
Let w(j) be the third derivative of j**7/3360 - j**6/960 + j