+ 0*d**2 - 2/7*d**4 - t*d**3.
-2*d**3*(d + 2)/7
Let v be ((-2 - -2)/(-2 + 0))/(-1). Let s(d) be the third derivative of 0 + 0*d**4 + 0*d**3 + d**2 - 1/210*d**7 + v*d + 0*d**5 + 0*d**6. Factor s(r).
-r**4
Suppose -10 = 4*l - 10. Factor 2/5*q**4 + 1/5*q**5 + l + 0*q**2 + 0*q + 1/5*q**3.
q**3*(q + 1)**2/5
Let q(a) be the first derivative of 20*a**3/3 + 5*a**2/2 - 15*a - 12. Let q(c) = 0. What is c?
-1, 3/4
Let d = 56/33 + -4/11. Let g be (-1)/(2*2/(-8) + -1). Solve d*b + 2/3 + g*b**2 = 0.
-1
Let m(k) be the first derivative of -k**4/2 - 10*k**3/3 - 3*k**2 + 18*k - 4. Suppose m(w) = 0. What is w?
-3, 1
Let s(l) be the first derivative of 2*l**5/25 + l**4 + 10*l**3/3 - 14. Determine y, given that s(y) = 0.
-5, 0
Let z(f) = -3*f + 45. Let l be z(14). Let r(y) be the third derivative of 1/36*y**4 + 0*y + 1/18*y**3 + 0 + 1/180*y**5 + l*y**2. Factor r(g).
(g + 1)**2/3
Let m(o) be the first derivative of -27/5*o**2 - 7 - 1/10*o**4 - 6/5*o**3 - 54/5*o. What is i in m(i) = 0?
-3
Let f(a) = -2*a - 7. Let o be f(-6). Suppose 0 = i + o*s + 1, i + 3*s = -3*i + 13. What is u in -1/4*u - 1/4*u**5 + 0*u**i + 0*u**2 + 1/2*u**3 + 0 = 0?
-1, 0, 1
Let s be (3/(-9))/((-2)/108). Let z = s - 18. Solve 2/7*n**4 + z*n + 0*n**3 + 0 + 0*n**2 = 0 for n.
0
Let i = 4 - 1. Solve 8*z - 25*z - 54 - 33*z - 58*z - 72*z**2 - 16*z**i = 0 for z.
-3/2
Let q(f) be the second derivative of 0 + 1/6*f**4 + f**2 + 2/3*f**3 + f. What is d in q(d) = 0?
-1
Suppose -f - 3 = z - 4, -2*z + 2*f = -6. Suppose -2 + 4 = -o + z*h, -2*h - 6 = -3*o. Factor 0 - 1/3*l - 4*l**2 - 64/3*l**o - 16*l**3.
-l*(4*l + 1)**3/3
Let q(b) = b - 4. Let t be q(7). Let h(g) = 2*g**2 - 4. Let j(l) = 2*l**2 - 5. Let z = -3 - -1. Let d(u) = t*h(u) + z*j(u). Factor d(w).
2*(w - 1)*(w + 1)
Let c(a) be the third derivative of -a**6/300 + a**4/60 + 7*a**2. Find n such that c(n) = 0.
-1, 0, 1
Determine n so that 2/11*n**3 + 0 - 2/11*n - 2/11*n**4 + 2/11*n**2 = 0.
-1, 0, 1
Let w(x) be the first derivative of 2*x**5/5 + 17*x**4/10 + 14*x**3/5 + 11*x**2/5 + 4*x/5 - 8. Find f, given that w(f) = 0.
-1, -2/5
Let d(k) = k**2 - k + k**2 - 3*k**2 + 5. Let z be d(0). Factor 5 + p + p**2 - z.
p*(p + 1)
Solve 6*m**2 + 2/3 - 4*m = 0 for m.
1/3
Let x(y) be the first derivative of 5*y**6/12 - 3*y**5/2 + 5*y**4/4 + 5*y**3/3 - 15*y**2/4 + 5*y/2 + 6. Factor x(r).
5*(r - 1)**4*(r + 1)/2
Let g(c) be the second derivative of c**6/75 + c**5/50 - c**4/30 - c**3/15 - 14*c. Suppose g(v) = 0. What is v?
-1, 0, 1
Let i(w) be the second derivative of w**5/60 - 17*w**4/108 + 7*w**3/18 + w**2/2 - 5*w. Factor i(a).
(a - 3)**2*(3*a + 1)/9
Let g(a) = a. Let n(u) = -3*u**2 + 6. Let d(j) = -3*g(j) + n(j). Find s such that d(s) = 0.
-2, 1
Let y(w) be the third derivative of w**10/302400 + w**9/120960 - w**5/30 + 3*w**2. Let x(u) be the third derivative of y(u). Factor x(j).
j**3*(j + 1)/2
Factor -4*w**3 + 8*w**2 - 6*w**2 - 8*w**3 + 2*w + 0*w**2.
-2*w*(2*w - 1)*(3*w + 1)
Suppose -11*v - 2*v + 52 = 0. Let q(r) be the first derivative of -4 + 1/18*r**v + 2/27*r**3 - 2/9*r - 1/9*r**2. Solve q(s) = 0 for s.
-1, 1
Let a(m) be the third derivative of -m**7/42 - 11*m**6/840 + m**5/21 - m**4/42 + 3*m**2. Let a(s) = 0. Calculate s.
-1, 0, 2/7, 2/5
Let r(d) be the first derivative of 0*d + 2/45*d**5 + 1 + 1/6*d**4 + 2/9*d**3 + 1/9*d**2. Find s such that r(s) = 0.
-1, 0
Let w(a) be the first derivative of 3*a**6/14 - 11*a**5/35 - a**4/4 + 11*a**3/21 - a**2/7 + 15. Find s, given that w(s) = 0.
-1, 0, 2/9, 1
Factor -2/11 - 2/11*n**5 - 20/11*n**2 - 20/11*n**3 - 10/11*n - 10/11*n**4.
-2*(n + 1)**5/11
Factor 87*x + 152*x**2 - 32*x**2 + 489*x**3 + 187*x**2 + 100*x**5 + 9 + 360*x**4.
(x + 1)**3*(10*x + 3)**2
Let m(w) be the second derivative of -1/30*w**5 + 1/12*w**4 + w - w**2 + 0 + 0*w**3. Let v(k) be the first derivative of m(k). Factor v(j).
-2*j*(j - 1)
Let n(i) be the second derivative of -1/30*i**4 + 0*i**2 + 0*i**3 + 4*i + 3/25*i**6 + 3/100*i**5 + 0 + 4/105*i**7. Find g such that n(g) = 0.
-2, -1/2, 0, 1/4
Let i(d) be the second derivative of -d**6/200 + d**5/100 - d**4/120 - d**3/3 + 2*d. Let n(r) be the second derivative of i(r). Factor n(t).
-(3*t - 1)**2/5
Let m(g) be the first derivative of -g**6/420 - g**5/210 + 5*g**2/2 + 5. Let q(s) be the second derivative of m(s). Let q(d) = 0. Calculate d.
-1, 0
Let u(s) be the first derivative of -s**6/10 - 9*s**5/20 - 3*s**4/4 - s**3/2 - 5*s**2/2 - 1. Let a(f) be the second derivative of u(f). Factor a(x).
-3*(x + 1)**2*(4*x + 1)
Let b be (3/(-4))/(1/(-4)). Let d(u) = 2*u - 4. Let q be d(3). Factor -4*p**3 - 4*p + 4*p**q + 1 + 5*p**2 + p**4 - b*p**2.
(p - 1)**4
Factor -9*k + 3/4*k**2 + 27.
3*(k - 6)**2/4
Let d = 22 - 22. Solve -1/2*c**2 + d*c + 1/2*c**3 + 0 = 0 for c.
0, 1
Let j(m) be the third derivative of -1/735*m**7 - 1/420*m**6 + 1/210*m**5 - 2*m**2 + 0*m**3 + 0 + 1/84*m**4 + 0*m. Let j(h) = 0. What is h?
-1, 0, 1
Let q(g) = -4*g**2 + 2*g + 3. Let y(n) = 9*n**2 - 4*n - 7. Let v(j) = -j**2 + 2. Let z be v(3). Let t(m) = z*q(m) - 3*y(m). Factor t(i).
i*(i - 2)
Suppose -u = 4*i - 77 + 85, 6 = -u - 3*i. Determine w so that w**2 - 1/2*w**5 + u - 5/2*w**3 + 0*w + 2*w**4 = 0.
0, 1, 2
Let w be (2 - -121)*(1 - 2). Let s = -613/5 - w. Let -s*k**3 - 2/5*k + 0 + 4/5*k**2 = 0. What is k?
0, 1
Suppose -2*o - 7 = 5. Let k = o - -7. Let t(x) = -2*x**2 + 2*x - 1. Let p(c) = -c**3 + c**2 - 1. Let w(j) = k*t(j) - p(j). Factor w(m).
m*(m - 2)*(m - 1)
Let q(d) be the second derivative of d**5/40 + 5*d**4/24 + 7*d**3/12 + 3*d**2/4 - 27*d. Solve q(h) = 0.
-3, -1
Let t be ((-7)/(-987))/((-1)/(-6)). Let i = t - -43/94. Determine q so that -q - i - 1/2*q**2 = 0.
-1
Let x(w) = -2*w**4 + 3*w**2 + w + 3. Let k(c) = 10*c**4 - 16*c**2 - 6*c - 14. Let v(r) = 3*k(r) + 14*x(r). Suppose v(u) = 0. Calculate u.
-1, 0, 2
Suppose 4*z - 23 = f, 0 = -0*z - 4*z + 16. Let g be 4/2 - (-5 - f). Solve 1/3*c**3 + 2/3*c**2 + g + 0*c = 0.
-2, 0
Let h = -46/35 + 12/7. Factor -4*u**2 + 9/5*u**3 + 13/5*u - h.
(u - 1)**2*(9*u - 2)/5
Suppose -4*l - 2 = -14. What is s in 3*s + 3*s**3 + 6*s**2 + s**5 - l*s**3 - 6*s**4 - 4*s**5 = 0?
-1, 0, 1
Let a(r) be the third derivative of r**5/140 - r**3/14 - 39*r**2. Find q such that a(q) = 0.
-1, 1
Suppose -4*c = -20, -5*j + 5*c - 13 + 3 = 0. Factor 2*p**2 + 2*p**2 + 7*p**j - 5*p**2 - 2*p - 6*p**3.
p*(p - 2)*(p + 1)
Let c(s) be the second derivative of 5*s**7/14 + 9*s**6/10 + 18*s**5/25 + s**4/5 + 26*s. Factor c(m).
3*m**2*(m + 1)*(5*m + 2)**2/5
Let i(l) be the second derivative of -l**3/2 - 5*l**2 - l. Let x be i(-4). Factor -2/9*a**4 + 0*a**x - 4/9*a + 4/9*a**3 + 2/9.
-2*(a - 1)**3*(a + 1)/9
Let o(w) = -5*w + 54. Let z be o(10). Let l(m) be the first derivative of -1/12*m**3 + 1/8*m**2 + 1 + 1/4*m - 1/16*m**z. Solve l(y) = 0.
-1, 1
Let j = -4683/5 + 951. Solve -j*c**2 - 54/5 + 108/5*c - 2/5*c**4 + 4*c**3 = 0 for c.
1, 3
Suppose -l = w, -14*l - w = -10*l. Let f(h) = h**3 - 2*h**2 + 1. Let a be f(1). Solve a*g + 1/5*g**2 + l = 0.
0
Factor f**3 + 7*f + 0*f - 7*f.
f**3
Let v(o) be the first derivative of o**6/120 + o**5/10 + o**4/2 + o**3 - 6. Let d(s) be the third derivative of v(s). Factor d(z).
3*(z + 2)**2
Let x(h) be the first derivative of -h**4/8 + h**3/6 + h**2/4 - h/2 + 3. Let x(p) = 0. What is p?
-1, 1
Let p(z) = -z**2 - 2*z. Let f(k) be the second derivative of k**4/4 + k**3 - 5*k. Let h(s) = 6*f(s) + 17*p(s). Determine a, given that h(a) = 0.
-2, 0
Let h = 28/5 - 137/20. Let j = -1 - h. Factor -1/2*x**4 + 1/2*x**2 + 0 + 0*x**3 + 1/4*x - j*x**5.
-x*(x - 1)*(x + 1)**3/4
Factor a**4 + 3*a**3 + 9*a**3 + 0*a**4 - 11*a**3.
a**3*(a + 1)
Let g(d) be the third derivative of -d**6/40 - d**5/5 - 5*d**4/8 - d**3 + 3*d**2 + 2. Factor g(i).
-3*(i + 1)**2*(i + 2)
Let j(i) be the first derivative of i**3/3 + i**2/2 - 2*i + 3. Let v be j(2). Suppose b**2 + 2*b + 2*b**2 - 2*b**4 - 2*b**3 - 5*b**2 + v*b**2 = 0. What is b?
-1, 0, 1
Let w(o) be the second derivative of o**5/40 - o**4/12 - o**3/12 + o**2/2 + 2*o. Factor w(f).
(f - 2)*(f - 1)*(f + 1)/2
Let u(d) = -5*d**5 - 11*d**4 + 10*d**3 + 10*d**2 + d - 11. Let c(g) = -g**4 + g - 1. Let j(v) = 6*c(v) - u(v). Factor j(z).
5*(z - 1)**2*(z + 1)**3
Let r = -846/5 - -170. Let -4/5*p**3 + 1/5*p**2 + 0 - 1/5*p**4 + r*p**5 + 0*p = 0. What is p?
-1, 0, 1/4, 1
Let z = 3 - 0. Factor -2*a**z + 6*a - 2*a +