 5*g**3 + 9*g**4 + 7*g**5 = 0.
-1, -2/7, 0, 1
Let x(y) be the first derivative of y**5/390 - y**4/39 + 4*y**3/39 + y**2/2 - 1. Let p(d) be the second derivative of x(d). Factor p(b).
2*(b - 2)**2/13
Let q(s) be the first derivative of s**3/4 - 15*s**2/8 - 9*s/2 - 8. Let q(u) = 0. Calculate u.
-1, 6
Let k be 3/((-240)/(-244)) - 3. Let h(i) be the first derivative of 0*i - 1/4*i**3 + 1/8*i**2 + 2 + 3/16*i**4 - k*i**5. Let h(q) = 0. What is q?
0, 1
Let n(z) be the second derivative of 0*z**3 + 1/12*z**4 - 1/30*z**6 + 0*z**2 - 2*z + 0 + 1/40*z**5 - 1/84*z**7. Find x, given that n(x) = 0.
-2, -1, 0, 1
Let q = 8 - 3. Factor 5*t**5 - 2*t**3 + 13*t - 13*t - 2*t**2 + 2*t**4 - 3*t**q.
2*t**2*(t - 1)*(t + 1)**2
What is o in 0*o**2 - 1/5*o**4 - 1/5*o**3 + 0*o + 0 = 0?
-1, 0
Let j(q) be the third derivative of -q**5/150 - q**4/12 + 17*q**2. Find p, given that j(p) = 0.
-5, 0
Find r, given that 3/4 + 9*r + 27*r**2 = 0.
-1/6
Let r(p) be the first derivative of -5*p**3/3 + 5*p**2 + 30. Factor r(w).
-5*w*(w - 2)
Suppose 30 = -q + 32. Let k(v) be the second derivative of 2/15*v**3 + 4*v + 0*v**q + 1/150*v**6 + 1/20*v**5 + 0 + 2/15*v**4. Factor k(s).
s*(s + 1)*(s + 2)**2/5
Suppose -2*n - 105 = 93. Let i = 497/5 + n. Factor 4/5*l + 2/5 + i*l**2.
2*(l + 1)**2/5
Let b(h) be the third derivative of 0*h**3 + 0*h + 6*h**2 + 2/315*h**7 + 7/360*h**6 + 0 - 1/72*h**4 + 1/90*h**5. Determine s so that b(s) = 0.
-1, 0, 1/4
Factor 0*j**2 + 0*j + 0 - 4*j**3 + 16/3*j**4.
4*j**3*(4*j - 3)/3
Let l = -8 - -17. Solve s - 2*s - 5*s - l - s**2 + 0*s**2 = 0 for s.
-3
Let i = 35521/120 - 296. Let o(l) be the third derivative of 0*l**3 - 1/240*l**6 - 1/420*l**7 + 0*l + 0 + 4*l**2 + i*l**5 + 1/48*l**4. Factor o(p).
-p*(p - 1)*(p + 1)**2/2
Factor 1/7*c**2 + 2/7*c + 1/7.
(c + 1)**2/7
Factor -6*g**2 + 35 - 35 + 3*g + g + 2*g**3.
2*g*(g - 2)*(g - 1)
Let y be (5 - 4)/((-2)/(-6)). Factor -b**2 + 3*b - 5 + 10*b**2 + 0 + 3 - 10*b**y.
-(b - 1)*(2*b + 1)*(5*b - 2)
Suppose -6 = -3*v - 0. Suppose 3*s + 2*r = 10, 5*s + 5*r = v*s + 25. Factor -1/3*j**2 + 1/3*j + s.
-j*(j - 1)/3
Let t be (3/(-6))/((-7)/2440). Let u = t + -174. Factor 16/7*f + u*f**3 - 10/7*f**2 - 8/7.
2*(f - 2)**2*(f - 1)/7
Suppose 0 = g + 4*r - 25, -4*g + 5*r = r. Suppose 4*s**g + 9*s**3 - 3*s**3 - 15*s**4 + 6*s**4 - s**2 = 0. Calculate s.
0, 1/4, 1
Let w be -1 + 0 + 1 + 2. Suppose -3 + 5*a - 3*a**3 - 3*a + 3*a**w + 4*a - 3*a = 0. What is a?
-1, 1
Let b(a) = 1. Let p(q) = 4*q**2 - 18. Let j(v) = -b(v) + p(v). Let y(o) = 20*o**2 - 96. Let g(k) = -16*j(k) + 3*y(k). Factor g(m).
-4*(m - 2)*(m + 2)
Suppose 1/7 - 2/7*f**3 + 8/7*f**2 - 9/7*f**4 + 6/7*f - 4/7*f**5 = 0. What is f?
-1, -1/4, 1
Suppose r - 19 = -4*h - 4, -h - 4*r + 15 = 0. Factor 2/7*v**2 + 2/7*v + 0 - 2/7*v**h - 2/7*v**4.
-2*v*(v - 1)*(v + 1)**2/7
Suppose -y + 5*y = 12. Suppose 5*h**4 - 2*h**4 - y*h**2 + 3*h + 0*h**2 - 3*h**3 = 0. Calculate h.
-1, 0, 1
Let s(p) be the second derivative of p**6/135 - p**5/45 + p**4/54 - 15*p. Find r such that s(r) = 0.
0, 1
Determine k so that 5*k + 9*k + 3*k**2 + k + 1 + 11 = 0.
-4, -1
Let k(u) be the third derivative of -3/56*u**4 + 1/140*u**5 - 5*u**2 + 0 + 1/7*u**3 + 0*u. Factor k(h).
3*(h - 2)*(h - 1)/7
Let r(u) = u**3 - u**2 + 1. Let f(n) = 3*n**3 + 5*n**2 + 1. Let p(x) = -f(x) + r(x). Factor p(d).
-2*d**2*(d + 3)
Let p(g) = -3*g**2 - 11*g - 34. Let m(v) = 0*v**2 - 33 - 2*v - 3*v**2 - 10*v. Let a(d) = -7*m(d) + 6*p(d). Solve a(k) = 0 for k.
-3
Suppose 2*t + 16 = 6*t. Let g be -2 + (-5)/8*-4. Suppose -6*p**2 - 2*p - g*p**5 + 0 - 13/2*p**3 - 3*p**t = 0. Calculate p.
-2, -1, 0
Factor -3*x**5 - 11*x**4 + 0*x + 0 - 20/3*x**2 + 56/3*x**3.
-x**2*(x + 5)*(3*x - 2)**2/3
Let q = 3 - -5. Let z = q + -4. Factor 0 - 1/3*s + 0*s**z + 0*s**2 + 2/3*s**3 - 1/3*s**5.
-s*(s - 1)**2*(s + 1)**2/3
Suppose 2*f - 3*f + 2 = 0. Let g be (8/5)/(f/5). Suppose -21*k - 2*k**g + 2*k**5 - 2*k**3 + 21*k + 2*k**2 = 0. Calculate k.
-1, 0, 1
Let b(z) = -6*z**5 - 8*z**4 + 8*z**3 + 20*z**2 - 18*z. Let u(f) = -5*f**5 - 8*f**4 + 7*f**3 + 21*f**2 - 18*f. Let q(w) = 3*b(w) - 4*u(w). Factor q(m).
2*m*(m - 1)**2*(m + 3)**2
Let t(w) = -15*w**3 - 102*w**2 - 63*w. Let u(c) = 6*c**3 + 41*c**2 + 25*c. Let l(j) = -5*t(j) - 12*u(j). Suppose l(g) = 0. What is g?
-5, -1, 0
Let w(b) = 2*b**3 + b**2 + 4*b + 5. Let i(v) = -v**3 - v**2 - v - 1. Let g(n) = -6*i(n) - 2*w(n). Suppose g(l) = 0. Calculate l.
-2, -1, 1
Find o such that 1/2 - 1/3*o - 1/6*o**2 = 0.
-3, 1
Factor 0 + 2/7*j**2 + 0*j + 2/7*j**4 + 4/7*j**3.
2*j**2*(j + 1)**2/7
Let l(p) be the second derivative of p**5/60 + p**4/12 + p**3/6 + p**2/6 + 6*p. Factor l(o).
(o + 1)**3/3
Let l be 15/(-18)*7/(-14). Let c(a) be the third derivative of -2/15*a**5 - a**2 + 0 + 0*a + 1/60*a**6 + l*a**4 - 2/3*a**3. Determine x, given that c(x) = 0.
1, 2
Let y(g) be the first derivative of -1/2*g**3 - 1/4*g**4 - 1 - 1/4*g**2 + 0*g. Let y(r) = 0. What is r?
-1, -1/2, 0
Let b be 9/21 + (-106)/(-14). Factor 18*j**2 + 10*j - 5 + 4 - 3 + 4*j**2 + b*j**3.
2*(j + 1)*(j + 2)*(4*j - 1)
Suppose 21 = -5*t - 5*c + 1, -3*c - 5 = -4*t. Let i be 1*2 - 1/t. Factor 1 - q - 3*q**2 + 2*q**2 + 2*q**i - q**3.
(q - 1)**2*(q + 1)
Let u be 3/12*-6*2/(-9). Let 0 + u*w**2 - 1/3*w - 1/3*w**4 + 1/3*w**3 = 0. What is w?
-1, 0, 1
Let g(a) be the first derivative of a**5/10 - 3*a**4/8 + a**3/6 + 3*a**2/4 - a + 6. Factor g(l).
(l - 2)*(l - 1)**2*(l + 1)/2
Let w be (-2 + 1)/(1/(-5)). Solve 3*j**4 - 143*j**w - 5*j**4 + j**3 + 144*j**5 = 0.
0, 1
Let p(h) be the first derivative of h**6/39 - 8*h**5/65 + 2*h**4/13 + 4*h**3/39 - 5*h**2/13 + 4*h/13 - 3. Find c, given that p(c) = 0.
-1, 1, 2
Let g(j) be the third derivative of -j**7/1470 + j**6/840 + j**5/140 - j**4/168 - j**3/21 - 3*j**2. Factor g(f).
-(f - 2)*(f - 1)*(f + 1)**2/7
Let j(p) be the first derivative of 25*p**3/3 + 15*p**2 + 9*p - 5. Suppose j(i) = 0. Calculate i.
-3/5
Let x(a) be the third derivative of -a**6/1440 + a**5/480 + a**4/48 + a**3/2 - 3*a**2. Let f(j) be the first derivative of x(j). Suppose f(d) = 0. What is d?
-1, 2
Let c(s) be the third derivative of s**6/360 + s**5/180 - s**4/36 - 14*s**2. Factor c(o).
o*(o - 1)*(o + 2)/3
Let f(d) be the first derivative of -1/3*d**3 + 0*d + 0*d**2 + 0*d**5 + 1/96*d**4 + 1 - 1/1440*d**6. Let m(c) be the third derivative of f(c). Factor m(g).
-(g - 1)*(g + 1)/4
Suppose 5*s - 16 = 3*s - 4*r, 0 = -2*s - 2*r + 12. Let p(a) be the third derivative of 0*a**3 + 3*a**2 - 1/40*a**6 + 0 + 0*a**s + 0*a - 1/20*a**5. Factor p(o).
-3*o**2*(o + 1)
Let m(q) = -q**2 - 7*q + 6. Let b be m(-8). Let v = b - -2. Let v*z**2 + 0 + 0*z - 2/11*z**3 + 2/11*z**5 + 0*z**4 = 0. What is z?
-1, 0, 1
Let h(g) be the second derivative of -g**4/54 + 5*g. Factor h(m).
-2*m**2/9
Solve -3/5*r**2 + 3/5 + 0*r = 0 for r.
-1, 1
Let n(k) be the third derivative of -k**6/540 - k**5/135 - k**4/108 - 30*k**2. Let n(m) = 0. Calculate m.
-1, 0
Let n(j) be the first derivative of -j**2 + 0*j - 8/3*j**3 - 2. Suppose n(w) = 0. What is w?
-1/4, 0
Suppose 3 = -3*f + 9. Factor -d**2 - 4*d**3 + 3*d**3 + d**f - 2*d**2.
-d**2*(d + 2)
Let j(b) = -10*b**3 + 7*b**2 - 7*b + 7. Let k(l) = 5*l**3 - 4*l**2 + 4*l - 4. Let q(s) = 4*j(s) + 7*k(s). Suppose q(h) = 0. What is h?
0
Let f = -106/21 + 16/3. What is c in f*c**3 - 16/7 + 24/7*c - 12/7*c**2 = 0?
2
Suppose -5*c + 25 + 25 = 0. Let o = c + -6. Factor 2/3*k**3 - 2*k**2 - 4/3 - 10/3*k + 2/3*k**o.
2*(k - 2)*(k + 1)**3/3
Suppose -4*u - y = -3*u - 23, -u + 15 = -y. What is t in 13*t**2 - 9*t**3 - 5*t**4 - u*t**2 + 2*t**4 = 0?
-2, -1, 0
Solve -438/13*q**2 - 6/13*q**4 + 42*q + 94/13*q**3 - 196/13 = 0 for q.
2/3, 1, 7
Let f(k) be the third derivative of 0*k**3 + 0*k**5 - 1/240*k**6 + 0*k + 0 + 3*k**2 + 1/48*k**4. Find d such that f(d) = 0.
-1, 0, 1
Let a(u) be the second derivative of u**6/105 - 9*u**5/70 + 5*u**4/14 + 25*u**3/21 + u. Factor a(j).
2*j*(j - 5)**2*(j + 1)/7
Let i(d) = 7*d**5 - 3*d**4 - 8*d**3 + 3*d**2 - 2*d. Let v(z) = 15*z**5 - 6*z**4 - 17*z**3 + 6*z**2 - 5*z. Let q(l) = 7*i(l) - 3*v(l). Factor q(h).
h*(h - 1)**2*(h + 1)*(4*h + 1)
Factor 2/5*z**4 + 0 + 2/5*z**3 - 2/5*z**2 - 2/5*z.
2*z*(z - 1)*(z + 1)**2/5
Let c(v) = -v**3 + 8*v**2 + 6*v + 3. Let o be c(9). Let k be (-2 - o/9)*3. Factor -4*j**k + j + 3*j**2 + 0*j**2.
-j*(j - 1)
Let w(x) = x + 2*x - 4*x. Let r be w(-4). Factor 8*