st derivative of z*o**2 - 1/9*o**3 + 1/3*o - 3. Let b(r) = 0. Calculate r.
-1, 1
Let j = -17 - -19. Let z(p) be the first derivative of -1/3*p**3 + 1/2*p**2 + j + 0*p. Suppose z(f) = 0. What is f?
0, 1
Let j(a) = 4813*a**2 - 620*a + 24. Let l(v) = -9628*v**2 + 1240*v - 49. Let q(g) = -9*j(g) - 4*l(g). Factor q(i).
-5*(31*i - 2)**2
Let c(t) be the third derivative of t**5/90 - t**4/9 + t**3/3 + 7*t**2. Factor c(x).
2*(x - 3)*(x - 1)/3
Suppose -c = 3*c - 16. Let g(b) be the first derivative of 0*b**5 + 0*b + 0*b**3 - 1/8*b**2 + 1/8*b**c - 2 - 1/24*b**6. Factor g(q).
-q*(q - 1)**2*(q + 1)**2/4
Let f(d) be the first derivative of d**9/6048 + d**8/3360 + d**3 - 2. Let z(t) be the third derivative of f(t). Factor z(o).
o**4*(o + 1)/2
Factor -54*p**3 + 0 - 8/3*p - 24*p**2.
-2*p*(9*p + 2)**2/3
Let r(n) be the first derivative of n**4/34 - 8*n**3/51 + 3*n**2/17 - 7. Determine k, given that r(k) = 0.
0, 1, 3
Let l(f) be the first derivative of -5*f**6/4 + f**5/2 + 5*f**4/4 - 49. Factor l(b).
-5*b**3*(b - 1)*(3*b + 2)/2
Factor 0*c + 0 - 2/7*c**5 + 6/7*c**4 - 4/7*c**3 + 0*c**2.
-2*c**3*(c - 2)*(c - 1)/7
Let t = -25 - -101/4. Let u = t - -1/4. Factor u*j**3 + 0 - 1/2*j + 0*j**2.
j*(j - 1)*(j + 1)/2
Let i(q) = -21*q**3 - q - 1. Let k be i(-1). Suppose -4*j - 1 = -k. What is w in 2*w**j + 0*w + 2*w**3 - w - 3*w**5 + 0*w = 0?
-1, 0, 1
Determine m so that 2*m**3 - 2/7*m**2 - 4/7*m**5 - 10/7*m - 2/7*m**4 + 4/7 = 0.
-2, -1, 1/2, 1
Let s(r) = r**2 + 1 - 3*r**2 + r**2 + 0*r + r. Let y(j) = -j**3 + 3*j**2 - 6*j - 5. Let b(w) = 15*s(w) + 3*y(w). Suppose b(v) = 0. What is v?
-1, 0
Let v(h) = 7*h**4 - 10*h**3. Let q(y) = -15*y**4 + 21*y**3. Let m(k) = 6*q(k) + 13*v(k). Suppose m(i) = 0. Calculate i.
0, 4
Let o(b) be the first derivative of -3*b**4/8 - 3*b**3/2 + 3*b**2 + 6. Factor o(t).
-3*t*(t - 1)*(t + 4)/2
Let h(j) = -2*j**2 + 10*j - 13. Let r be h(5). Let t = r - -16. Factor -2/11*c**t + 0 - 2/11*c - 4/11*c**2.
-2*c*(c + 1)**2/11
Let k(g) = g**3 + 10*g**2 + 15*g - 8. Let y be k(-8). Factor y*w + 2/9 - 2/9*w**2.
-2*(w - 1)*(w + 1)/9
Let q be (-160)/(-315) - 2/9. Find u, given that -q*u**4 - 2/7 + 0*u**3 + 0*u + 4/7*u**2 = 0.
-1, 1
Suppose 32 - 68 = -12*p. Factor -3/5*y**5 + 9/5*y**2 + 3/5*y**4 + 0 + 0*y + p*y**3.
-3*y**2*(y - 3)*(y + 1)**2/5
Suppose 0*k - 3*k + 5*o - 13 = 0, -4*o = k - 24. Suppose n + 2 - k = 0. Factor -1/2*p + 1/2*p**n - 1.
(p - 2)*(p + 1)/2
Let d = 59 + -100. Let q = 43 + d. What is p in -1/2*p - 1/4*p**3 + 0 + 3/4*p**q = 0?
0, 1, 2
Let b be (-20)/(-6) + (-26)/(-39). Factor 2/3*w**5 - 4/3*w**b + 0*w**2 + 0 + 0*w + 2/3*w**3.
2*w**3*(w - 1)**2/3
Factor -4*t - 2*t**3 - 8*t**2 + 6*t**2 + 2*t**4 + 6*t**3.
2*t*(t - 1)*(t + 1)*(t + 2)
Let a = -174 - -524/3. What is j in 0 - a*j**2 - 1/3*j**3 - 1/3*j = 0?
-1, 0
Let k(j) be the first derivative of -j**3/8 + 3*j**2/4 - 3*j/2 + 40. Let k(m) = 0. Calculate m.
2
Let d(l) be the second derivative of -l**6/240 - l**5/160 + 9*l - 2. Let d(x) = 0. What is x?
-1, 0
Let v(g) be the second derivative of 49/30*g**6 + 3/2*g**4 - 119/20*g**5 + 0 - 4*g + 22/3*g**3 + 4*g**2. Find m, given that v(m) = 0.
-2/7, 1, 2
Let t(k) be the second derivative of 0 - 2/9*k**4 + 0*k**2 + 4*k + 4/27*k**3 + 1/10*k**5. Factor t(m).
2*m*(3*m - 2)**2/9
Let u = 0 - 6. Let i = u + 8. Factor -2/7 - 2/7*o**i - 4/7*o.
-2*(o + 1)**2/7
Let c(f) be the first derivative of -2 + 8*f**3 + 33*f + f**4 - 2 + 24*f**2 - f. Find t, given that c(t) = 0.
-2
Let a(m) be the third derivative of m**7/735 - m**6/210 + m**5/210 - 3*m**2 - 10. What is g in a(g) = 0?
0, 1
Let b(z) be the third derivative of -z**7/210 + z**6/120 + z**5/12 + z**4/8 - 2*z**2. Let b(s) = 0. What is s?
-1, 0, 3
Let t(p) be the second derivative of 1/6*p**4 - p**2 + p + 0 + 0*p**3. Factor t(q).
2*(q - 1)*(q + 1)
Let q be (-2)/15 + (-96)/(-45). Factor -u - 7*u + 28 - 17 - 4*u**q - 15.
-4*(u + 1)**2
Let p = 7 - 4. Find r, given that 5*r**2 + 8/3*r**p - 8/3*r - 16/3*r**4 + 1/3 = 0.
-1, 1/4, 1
Let t = -104 - -1146/11. Determine f so that -t*f**3 - 4/11*f**2 + 0 - 2/11*f = 0.
-1, 0
Let f(l) be the first derivative of -5*l**6/51 - 14*l**5/85 + 3*l**4/34 + 14*l**3/51 + 2*l**2/17 - 24. Let f(q) = 0. What is q?
-1, -2/5, 0, 1
Factor 3*c**5 + 33*c**3 - 13*c**4 - 6*c**2 - 16*c**4 + 11*c**4 - 36*c + 24.
3*(c - 2)**3*(c - 1)*(c + 1)
Let q(v) be the third derivative of v**5/12 + 5*v**4/24 - 25*v**2. Factor q(s).
5*s*(s + 1)
Let n(r) = -r**3 - 8*r**2 - 7*r + 5. Let w be n(-7). Determine h so that 3*h**2 - 6*h**3 + 0*h**2 + w*h**3 - 5*h**3 + 3*h = 0.
-1/2, 0, 1
Solve 0 - 2/5*z**2 + 1/5*z = 0 for z.
0, 1/2
Let p(h) be the third derivative of -h**8/13440 - h**7/5040 + h**4/8 + 3*h**2. Let s(n) be the second derivative of p(n). Factor s(t).
-t**2*(t + 1)/2
Let y(o) be the third derivative of -o**7/350 - o**6/40 - 3*o**5/50 + o**4/10 + 4*o**3/5 + 6*o**2. Let y(l) = 0. What is l?
-2, 1
Let q be -5 - 11*(260/(-75) + 3). Factor 4/5*i - q*i**2 - 6/5.
-2*(i - 3)**2/15
Suppose 2*p = -2, 2*p = -5*f - p - 3. Let l be (2/(-4))/((-2)/8). Solve i + f*i**l + i + 2*i**3 + 4*i**2 = 0.
-1, 0
Let r(y) = 4*y**5 + 4*y**4 - 8*y**3 - 6*y + 6. Let d(v) = v**5 - v**3 - v + 1. Let n(c) = 6*d(c) - r(c). Let n(u) = 0. What is u?
0, 1
Let f = -115/3 + 39. Factor 1/3 + f*h + 1/3*h**2.
(h + 1)**2/3
Solve 14*u - u**5 - u**3 + 3*u**2 - 12*u - 6*u**2 + 3*u**4 = 0 for u.
-1, 0, 1, 2
Let g be 81/210 - (-38)/(-380). Factor -2/7*f**2 + 0 + g*f.
-2*f*(f - 1)/7
Factor -46*i - 248*i**2 + 14*i - 25*i**4 + 16*i**5 + 28 - 272*i**3 - 43*i**4.
4*(i - 7)*(i + 1)**3*(4*i - 1)
Let m(o) be the first derivative of o**4/6 - o**3/3 - 2*o**2 + 4*o + 4. Let w(n) be the first derivative of m(n). Determine c, given that w(c) = 0.
-1, 2
Suppose 168 = -3*t - 4*t. Let s = -24 - t. Let 0*k + s + 1/4*k**2 = 0. Calculate k.
0
Let t(r) be the second derivative of -r**5/150 - r**4/60 + r**2 + 3*r. Let w(d) be the first derivative of t(d). Factor w(s).
-2*s*(s + 1)/5
Let d(g) be the second derivative of g + 8/3*g**3 - 7/30*g**6 + 19/20*g**5 - 25/12*g**4 + 0 + 1/42*g**7 - 2*g**2. Factor d(x).
(x - 2)**2*(x - 1)**3
Suppose 0 = -26*a + 25*a + 2. Factor -2 - 1/2*d**2 - a*d.
-(d + 2)**2/2
Suppose 2*z + 1 = h - 0, 2*z + 11 = 3*h. Let a(q) be the second derivative of -2*q + 1/48*q**4 + 0*q**z + 1/24*q**3 + 0. Solve a(j) = 0.
-1, 0
Let j(d) be the first derivative of d**4/2 + 13*d**3/9 + 4*d**2/3 + d/3 + 10. Let j(h) = 0. What is h?
-1, -1/6
Let a(v) be the first derivative of 2 + 2*v**3 - 9/2*v**4 + 8*v**2 - 8*v. What is m in a(m) = 0?
-1, 2/3
Factor 4*s**2 - 32*s + 50 + 11 + 3.
4*(s - 4)**2
Let k(t) = 128*t + 2 + 4*t**2 - 126*t - 8. Let p(x) = 5*x**2 + x - 6. Let l(z) = 3*k(z) - 2*p(z). Factor l(f).
2*(f - 1)*(f + 3)
Let o(h) be the third derivative of 1/735*h**7 + 4*h**2 + 0*h**4 + 0*h + 0 + 0*h**5 - 1/1176*h**8 + 0*h**6 + 0*h**3. Factor o(n).
-2*n**4*(n - 1)/7
Solve 4*q**5 + 8*q**2 - 8*q**4 - 4*q + 36 - 36 = 0.
-1, 0, 1
Let n(v) = -2*v**3 + v**2 - v + 2. Let h be n(0). Factor 1/5*y**h - 2/5*y + 1/5.
(y - 1)**2/5
Suppose -3*u + 9 = -x, 5 = -2*u - 23*x + 20*x. Determine y, given that 0 + 1/4*y**3 + 0*y - 1/4*y**5 + 0*y**u + 0*y**4 = 0.
-1, 0, 1
Let c(o) be the second derivative of 0 + 4/3*o**2 + 4/9*o**3 - 1/15*o**5 - 1/6*o**4 - 3*o + 1/45*o**6. Factor c(m).
2*(m - 2)**2*(m + 1)**2/3
Let x = -8 + 12. Let m(a) be the first derivative of 7/18*a**x + 2/3*a**3 + 2/9*a**2 + 0*a + 1. Factor m(p).
2*p*(p + 1)*(7*p + 2)/9
Let d be (-2)/12 - (-38)/(-78). Let k = -2/13 - d. Factor 0*f**3 + 0*f**2 - k*f**4 + 0*f + 0.
-f**4/2
Factor 2*w**4 - 26 + 2*w - 72*w**2 + 20*w**3 - 58*w + 132*w.
2*(w - 1)**3*(w + 13)
Let q(r) = r**2 - 4*r - 5. Let j(o) = -2*o**2 + 8*o + 10. Let n(y) = -2*j(y) - 5*q(y). Factor n(l).
-(l - 5)*(l + 1)
Let p be 19/30 - (-2)/(-15). Let l(r) be the first derivative of 1/3*r**3 + 2 + p*r**2 + 0*r. Factor l(i).
i*(i + 1)
Let w(h) = 25*h**4 + 75*h**3 - 105*h**2 - 85*h + 90. Let k(s) = -8*s**4 - 25*s**3 + 35*s**2 + 28*s - 30. Let c(z) = -10*k(z) - 3*w(z). Factor c(f).
5*(f - 1)**2*(f + 1)*(f + 6)
Let h(k) = -15*k**3 - 81*k**2 + 96*k + 33. Let p(m) = -m**3 - 5*m**2 + 6*m + 2. Let y(t) = -2*h(t) + 33*p(t). Factor y(c).
-3*c*(c - 1)*(c + 2)
Let j(u) be the third derivative of 3/5*u**3 + 1/150*u**5 + 1/10*u**4 + 0 - u**2 + 0*u. Factor j(p).
2*(p + 3)**2/5
Let h(l) = -23*