 derivative of 1/84*i**4 + 3*i**2 + 0*i**3 + 0 + 0*i - 1/210*i**5. Factor j(m).
-2*m*(m - 1)/7
Let h be 320/60 - (4 + 1). Factor -h - 1/6*l**2 - 1/2*l.
-(l + 1)*(l + 2)/6
Let f(v) = v**4 + v**3 + v**2 - v + 1. Let l(g) = 9*g**4 + 258*g**3 + 7944*g**2 + 111126*g + 583449. Let m(t) = 6*f(t) - l(t). Suppose m(x) = 0. Calculate x.
-21
Let t = -123373/227395 + -2/6497. Let q = -1/7 - t. Factor 6/5*a - 4/5 - q*a**2.
-2*(a - 2)*(a - 1)/5
Let q(v) be the first derivative of 5*v**5/2 - 5*v**4/2 + 2*v**3/3 - 38. Factor q(g).
g**2*(5*g - 2)**2/2
Let i = 3 - 3. Let t(x) be the second derivative of 9/16*x**5 + 2*x - 5/24*x**6 + i*x**2 + 1/6*x**3 + 0 - 1/2*x**4. Factor t(g).
-g*(g - 1)*(5*g - 2)**2/4
Let s = 3 - -1. Let h(t) be the second derivative of t + 0*t**2 + 0*t**3 + 1/50*t**5 - 1/75*t**6 - 1/105*t**7 + 0 + 1/30*t**s. Factor h(r).
-2*r**2*(r - 1)*(r + 1)**2/5
Let s(x) be the third derivative of -x**5/20 + x**4/4 - 7*x**2. Determine t so that s(t) = 0.
0, 2
Let z(p) be the second derivative of p**7/2520 - p**6/240 + p**5/60 - p**4/12 + 2*p. Let g(f) be the third derivative of z(f). Factor g(a).
(a - 2)*(a - 1)
Let q be 24/(-6) - 1*-6. Solve -2/5*j**q + 4/5 + 6/5*j - 6/5*j**3 - 2/5*j**4 = 0.
-2, -1, 1
Let g(z) be the second derivative of -z**6/24 - z**5/16 + 5*z**4/24 - 5*z. Find c such that g(c) = 0.
-2, 0, 1
Let h be (-1)/(-2) + (-1 - -1). Let p be (-12)/4*(-36)/72. Determine m, given that -p*m**4 + h*m**3 + 0*m**2 + 0 + 0*m = 0.
0, 1/3
Let c(x) be the first derivative of -4*x**3/3 - 72*x**2 - 1296*x - 59. Solve c(u) = 0.
-18
Let p be -2 - -2 - (-4 + 2). Suppose 16 = 6*b - p*b. Factor 0 + 0*h + 10/3*h**5 + 4/3*h**2 + 6*h**3 + 8*h**b.
2*h**2*(h + 1)**2*(5*h + 2)/3
Determine c, given that 2/5*c**2 + 6/5*c - 8/5 = 0.
-4, 1
Let m(q) be the third derivative of 1/30*q**3 + 2*q**2 + 0*q**4 + 0 - 1/300*q**5 + 0*q. Factor m(n).
-(n - 1)*(n + 1)/5
Suppose -4/7*t + 2/7*t**4 - 2/7*t**2 + 0 + 4/7*t**3 = 0. Calculate t.
-2, -1, 0, 1
Determine q so that -6*q + q**2 + q + 5*q - 2 + q = 0.
-2, 1
Suppose -14 = -2*o - 2. Let 3*y**2 - 4*y**2 - 3*y**2 - 2*y + o*y**2 = 0. What is y?
0, 1
Let v(k) be the first derivative of 3*k**5/5 + 3*k**4/2 + k**3 - 6. Find x such that v(x) = 0.
-1, 0
Suppose 5*i - 2*i = 3. Let o be 5 + (-1)/(i/2). What is y in 0*y**o + 2*y**3 - 6*y**2 + 1 - 3 + 6*y = 0?
1
Let t(q) be the first derivative of -q**4/72 - q**3/6 - 3*q**2/4 - 4*q + 5. Let v(m) be the first derivative of t(m). Determine p, given that v(p) = 0.
-3
Let v(u) be the first derivative of 0*u**2 - 1/5*u**5 + 1/2*u**6 - 1 + 1/3*u**3 - 3/4*u**4 + 0*u. Let v(h) = 0. Calculate h.
-1, 0, 1/3, 1
Let h = -33 - -67/2. Find i, given that -1/2*i**3 - h*i**5 + 0*i**2 + 0 - i**4 + 0*i = 0.
-1, 0
Suppose -3*c + 5 = -1. Let j(i) be the second derivative of 1/8*i**5 + 1/4*i**c - 11/48*i**4 + 0 - 1/24*i**3 + i. Determine m so that j(m) = 0.
-2/5, 1/2, 1
Let p be (15/10)/(2/4). Let z(h) be the first derivative of -1 - 4/7*h**2 - 8/7*h - 2/21*h**p. What is d in z(d) = 0?
-2
Determine k, given that -81 + 10*k - 14*k + k**2 - 14*k - 2*k**2 = 0.
-9
Let a(i) be the second derivative of -i**6/100 - i**5/25 - i**4/15 + 5*i**3/6 + 5*i. Let j(g) be the second derivative of a(g). Determine u so that j(u) = 0.
-2/3
Let u(f) be the first derivative of -2*f**5/15 - 3*f**4/8 - f**3/3 - f**2/12 + 8. Determine d so that u(d) = 0.
-1, -1/4, 0
Let b(x) be the second derivative of x**4/20 - 11*x**3/5 + 363*x**2/10 + 21*x. Suppose b(c) = 0. What is c?
11
Let q(r) be the second derivative of -1/3*r**3 + 0 + 0*r**2 - 25/24*r**7 - 19/12*r**4 + 3*r - 129/40*r**5 - 73/24*r**6. Solve q(c) = 0.
-1, -2/5, -2/7, 0
Let x(n) be the second derivative of -2*n**4/5 - 7*n**3/15 - n**2/5 - n. Find o, given that x(o) = 0.
-1/3, -1/4
Let x(u) be the first derivative of u**6/40 - u**5/16 + u**4/24 - 2*u - 10. Let m(i) be the first derivative of x(i). Factor m(b).
b**2*(b - 1)*(3*b - 2)/4
Suppose -t = -m - 5, 10 = -0*m - 2*m + t. Let z be 6/(m - -3) - -5. Factor -2*k**2 + 8*k**2 - z*k**2 - 2*k**2 + 2*k.
2*k*(k + 1)
Let b be (-30)/7 - (-2)/7. Let s = b - 0. Let v(x) = x**3. Let a(h) = -2*h**3 + 10*h**2 - 4*h. Let o(z) = s*v(z) + a(z). Solve o(d) = 0 for d.
0, 2/3, 1
Let j(r) be the second derivative of -7/12*r**4 - 1/3*r**3 + 5/42*r**7 + 7/30*r**6 - 3/20*r**5 + 0*r**2 + 4*r + 0. Factor j(g).
g*(g - 1)*(g + 1)**2*(5*g + 2)
Let u(r) be the third derivative of -r**6/60 - r**5/6 - 2*r**4/3 - 4*r**3/3 - 13*r**2. Find i, given that u(i) = 0.
-2, -1
Suppose -2*w + 2 = -2. Factor 1 + 2*q - q + 2*q**2 + q**w + q**3 + 2*q.
(q + 1)**3
What is x in -15*x**3 + 91 - 1035*x - 260*x**2 + 61 + 658 + 0*x**3 = 0?
-9, 2/3
Let c(r) = -r**2 - 5*r - 7. Let n be c(-6). Let i = n + 13. Factor 0 + 2/5*y**2 + i*y.
2*y**2/5
Suppose -13 = -k - 3. Factor 3 + 7*c**2 - k*c**2 + 3*c - 3*c**3 + 0*c**3.
-3*(c - 1)*(c + 1)**2
Suppose -n = -5 + 2. What is m in -n*m**4 - 4*m**3 - 3*m**4 + 2 + 6*m**4 + 4*m - 2*m**4 = 0?
-1, 1
Let c(f) be the second derivative of -f**4/4 + 3*f**3/2 - 3*f**2 + 9*f. Factor c(t).
-3*(t - 2)*(t - 1)
Suppose 2*z = -2*i + 18, -3*i - 31 = -4*z - 2*i. Let p be (z/(-6))/((-4)/6). Let 3*j**2 - j**p - 1 + 0 - j**4 = 0. Calculate j.
-1, 1
Let j(o) = o**3 - 3*o**2 - o + 4. Let x be j(3). Let c(k) = 2*k**3 - k**3 - 4*k - k**4 - 1 + 5. Let a(u) = -u + 1. Let v(m) = x*c(m) - 4*a(m). Factor v(t).
-t**3*(t - 1)
Let y(a) = 8*a**2 + 21*a + 5. Let l(c) be the third derivative of -c**5/60 + c**4/24 + c**3/6 - 5*c**2. Let p(v) = l(v) - y(v). Factor p(h).
-(h + 2)*(9*h + 2)
Let s(m) = 26*m + 107. Let d be s(-4). Find i such that 13*i**d + 0 + 40/9*i**2 + 4/9*i + 9*i**4 = 0.
-1, -2/9, 0
Let q = -53 - -26. Let b be (5/3)/(q/(-198)). Factor -50/9*u**5 - 38/9*u**3 - 8/9 + 16/9*u - b*u**4 + 46/9*u**2.
-2*(u + 1)**3*(5*u - 2)**2/9
Let u(t) be the third derivative of t**7/42 + t**6/3 + 11*t**5/6 + 5*t**4 + 15*t**3/2 - 9*t**2. Factor u(o).
5*(o + 1)**2*(o + 3)**2
Let s(r) be the first derivative of r**4/2 - 2*r**3 + 2*r**2 - 22. Solve s(m) = 0.
0, 1, 2
Let y(h) be the third derivative of -5*h**8/21 - 20*h**7/21 - h**6/24 + 19*h**5/6 + 85*h**4/24 + 5*h**3/3 + 13*h**2. Solve y(o) = 0.
-2, -1, -1/4, 1
Let m(h) be the third derivative of -5*h**2 - 1/90*h**5 + 1/18*h**4 + 0*h + 0 - 1/9*h**3. Let m(y) = 0. What is y?
1
Let a(w) be the third derivative of w**2 + 0 + 2/9*w**3 + 0*w - 1/90*w**5 + 1/36*w**4. Find b such that a(b) = 0.
-1, 2
Factor -12/7 + 16/7*t - 4/7*t**2.
-4*(t - 3)*(t - 1)/7
Let s(g) be the first derivative of 0*g**3 + 0*g**5 + 0*g + 1/8*g**2 - 1/8*g**4 - 8 + 1/24*g**6. Solve s(b) = 0 for b.
-1, 0, 1
Let a be (1*(-2)/(-16))/((-1)/(-1)). Let m(h) be the first derivative of a*h**4 + 0*h**2 + 0*h - 1/6*h**3 - 2. Factor m(k).
k**2*(k - 1)/2
Let j(h) be the third derivative of h**5/60 - h**4/6 + h**2. Let q be j(-3). Find p such that 2*p**4 - 2*p**3 + q - 21 - 2*p**2 + 2*p = 0.
-1, 0, 1
Let a = 0 - 2. Let d be (a - 1)*2/(-15). Factor 0*y**2 + 0*y + 0 - d*y**4 + 2/5*y**3.
-2*y**3*(y - 1)/5
Suppose -n + 5*s + 5 = 0, -3*n + s = n - 1. Suppose n*k + 16 = -k - 5*x, -x + 4 = 2*k. Factor -5*h**2 + k*h**2 + 2*h**2 - 1.
(h - 1)*(h + 1)
Suppose -5*h - 4*u - 20 = u, 2*h + 3*u + 9 = 0. Let g = -1 - h. Factor -9 - 8*l - 3*l**g - 10 - 8 - 10*l.
-3*(l + 3)**2
Let q(r) = r - 4. Let s be q(5). Let o be -1 + s/(-1) + 6. Let 6*z**o + 5 + 5 - 8*z**2 - 8 - 4*z**5 + 4*z**3 = 0. What is z?
-1, -1/2, 1
Let t = -1/642 - -1931/3210. What is l in t*l**3 - 6/5*l**2 + 0 + 0*l = 0?
0, 2
Let p(r) be the third derivative of -1/20*r**5 + 2*r**2 + 0*r**3 + 1/40*r**6 + 0 - 1/210*r**7 + 1/24*r**4 + 0*r. Find m such that p(m) = 0.
0, 1
Let b(g) be the second derivative of g**7/2520 - g**6/90 + 2*g**5/15 - g**4/6 + 5*g. Let i(k) be the third derivative of b(k). Factor i(f).
(f - 4)**2
Let a(w) be the second derivative of -w**6/60 + w**5/15 - w**4/12 - w**2 - 2*w. Let s(d) be the first derivative of a(d). Suppose s(q) = 0. What is q?
0, 1
Let n be 2/6*9 - -9. Let a(i) be the first derivative of -16*i - 1/2*i**4 - 2 - n*i**2 - 4*i**3. Let a(b) = 0. Calculate b.
-2
Let n(s) be the second derivative of s**7/98 - 2*s**6/35 + 3*s**5/28 - s**4/14 + 26*s. Solve n(j) = 0 for j.
0, 1, 2
Let i(p) = 2*p**4 + p**3 + 3*p**2 - 3. Let u(b) = -3*b**4 - 2*b**3 - 4*b**2 + 4. Let v(y) = 4*i(y) + 3*u(y). Factor v(r).
-r**3*