 third derivative of p(g). Factor r(w).
-(w - 2)*(w + 1)
Let t(n) be the first derivative of -1/8*n**2 + 2 - 3/16*n**4 - 1/20*n**5 + 0*n - 1/4*n**3. Factor t(q).
-q*(q + 1)**3/4
Let k(r) = -9*r + 9. Let j be k(5). Let v be -1 + -1*44/j. Factor v*z + 2/9*z**3 + 0 - 4/9*z**2.
2*z*(z - 1)**2/9
Determine k, given that 0*k**3 + 0*k - 1/2*k**4 + 1/2*k**2 + 0 = 0.
-1, 0, 1
Let k(j) be the third derivative of j**7/420 - j**6/90 + j**3/6 - 4*j**2. Let r(x) be the first derivative of k(x). Factor r(b).
2*b**2*(b - 2)
Let g(b) be the first derivative of -b**9/19656 - b**8/10920 + 2*b**3 - 1. Let o(q) be the third derivative of g(q). Let o(x) = 0. Calculate x.
-1, 0
Let a(n) = -7*n**4 + 4*n - n + 2 + 8*n**5 + 5*n**3 + 1. Let l(o) = -o**4 - o**3 - o - 1. Let x(i) = -a(i) - 3*l(i). Determine v, given that x(v) = 0.
0, 1/4, 1
Let w(h) = 7*h**2 + 2*h + 1. Let c(s) = s**2. Let v(z) = -6*c(z) + w(z). Solve v(f) = 0 for f.
-1
Let s(i) = -15*i**3 - 15*i**2 + 37*i + 7. Let g(y) = 10*y**3 + 10*y**2 - 25*y - 5. Let w(f) = 7*g(f) + 5*s(f). Find p such that w(p) = 0.
-2, 0, 1
Factor -1/2*y**2 + 0*y - 1/2*y**3 + 0.
-y**2*(y + 1)/2
Suppose -2*p + 34 = -n, 4*n + 61 = 4*p - p. Let x = p - 29/2. Factor i**4 + 0*i**3 + 1/2*i - x*i**5 + 0 - i**2.
-i*(i - 1)**3*(i + 1)/2
Let v(f) be the first derivative of f**3/3 - 3*f**2 + 9*f - 2. Factor v(y).
(y - 3)**2
Let i be 0/(2 + 0 + -4). Let j = 3 + i. Solve -1/3*r**j + 0 + 0*r - 2/3*r**4 + 0*r**2 - 1/3*r**5 = 0.
-1, 0
Let w(u) be the first derivative of -u**4/24 + 2*u**3/9 - 5*u**2/12 + u/3 + 3. Let w(z) = 0. What is z?
1, 2
Let c(j) be the third derivative of 0 + 0*j**5 - 3*j**2 + 1/150*j**6 + 0*j + 1/525*j**7 + 0*j**4 + 0*j**3. Factor c(o).
2*o**3*(o + 2)/5
Let r(d) = -d**2 + 2. Let v(p) = p**2 + p - 3. Let a(z) = z**3 - 6*z**2 + 2. Let s be a(6). Let l(u) = s*v(u) + 3*r(u). Factor l(w).
-w*(w - 2)
Let r(t) be the first derivative of -t**5/60 - t**4/6 - 2*t**3/3 + 3*t**2/2 + 2. Let y(a) be the second derivative of r(a). Find m, given that y(m) = 0.
-2
Factor -20*k**4 + 508*k**2 - 28*k**5 - 508*k**2 + 8*k**3.
-4*k**3*(k + 1)*(7*k - 2)
Find o such that o + 0 - 9/2*o**2 + 7/2*o**3 = 0.
0, 2/7, 1
Let t(w) = -3*w - 7. Let j be t(-3). Suppose 6/5*u**5 + 0 - 4/5*u**3 - 2/5*u - 8/5*u**j + 8/5*u**4 = 0. What is u?
-1, -1/3, 0, 1
Let d(t) = 2*t - 12. Let j be d(10). Let n = j - 6. Factor 0 - 3/2*v**n - v - 1/2*v**3.
-v*(v + 1)*(v + 2)/2
Let t(f) = -3 - 5*f + f**3 + 0*f**2 - 9*f**2 + 4*f**2. Let k be t(6). Factor 27*q**4 - 12*q**k - 8*q**2 + 3*q**4 + 4*q**3.
2*q**2*(3*q - 2)*(5*q + 2)
Suppose 2*r - 4 = -0*q + 4*q, r + 4*q + 4 = 0. Factor 0*v**3 + r*v**2 + 0 + 2/5*v**4 + 0*v.
2*v**4/5
Let f(j) = 3*j**4 - 5*j**3 + 9*j**2 + 5*j - 2. Let p(b) = b**4 - 2*b**3 + 4*b**2 + 2*b - 1. Let t(h) = -6*f(h) + 15*p(h). Suppose t(x) = 0. Calculate x.
-1, 1
Let -20/3 - 16/3*x**2 + 2/3*x**3 - 38/3*x = 0. Calculate x.
-1, 10
Suppose 3*m - 23 = -l, 23 = 2*l - 2*m + 1. Factor l*k**3 + 0 - 49/5*k**4 + 8/5*k + 52/5*k**2.
-k*(k - 2)*(7*k + 2)**2/5
Let y = -5 + 5. Suppose 2*z + 8 = 3*d, -2*z - 2 = d + 2*z. Determine p so that y - 4/5*p**d + 1/5*p = 0.
0, 1/4
Let v(j) = -j**3 - j - 1. Let q(f) = -2*f**4 - 2*f**3 + 2*f + 2. Let i(n) = -2*q(n) - 4*v(n). Find u such that i(u) = 0.
-2, 0
Let q(f) be the first derivative of 0*f**3 - 9/11*f**2 - 4/11*f + 24/55*f**5 + 19/22*f**4 + 6. Solve q(a) = 0.
-1, -1/4, 2/3
Let t(o) = -2*o**2 - 10*o - 12. Let j(r) = -r**2 - 4*r - 5. Let d(c) = 12*j(c) - 5*t(c). Suppose d(n) = 0. What is n?
0, 1
Determine m so that -192*m**2 + 256/3*m**3 + 144*m - 36 = 0.
3/4
Let x(c) be the third derivative of -c**7/1050 + c**6/600 + c**5/300 - c**4/120 + 6*c**2. Determine y so that x(y) = 0.
-1, 0, 1
Let m = -10 + 12. Let -3/2*h**3 + 0 - 3/2*h**m - 1/2*h - 1/2*h**4 = 0. What is h?
-1, 0
Let w be ((-7)/(21/(-12)) - 4)/2. Suppose -1 = -2*n + 3. Suppose w + 1/3*y**n - 1/3*y = 0. Calculate y.
0, 1
Let u = -1 + 3. Factor 0*q - 18*q**u - 14*q + q - 8*q**3 + q - 2.
-2*(q + 1)**2*(4*q + 1)
Let z(r) be the second derivative of -r**8/6720 - r**7/630 - r**6/180 + r**4/4 - 2*r. Let h(g) be the third derivative of z(g). Factor h(b).
-b*(b + 2)**2
Let f(y) be the third derivative of y**9/10080 + y**8/1260 + y**7/360 + y**6/180 + y**5/12 + 4*y**2. Let g(d) be the third derivative of f(d). Factor g(r).
2*(r + 1)**2*(3*r + 2)
Let p(v) = 7*v - v**3 + 2 - 2*v - 6*v. Let l be p(0). Solve -4*h**l + 5*h + 5*h**2 + 2 + h**3 + 3*h**2 = 0.
-2, -1
Let k(r) be the second derivative of -r**7/21 + r**6/5 - r**5/5 - r**4/3 + r**3 - r**2 + 4*r. Factor k(i).
-2*(i - 1)**4*(i + 1)
Determine x, given that 2*x - 4*x**2 + 2 + 3*x**2 + 3 - 2 = 0.
-1, 3
Let m be (-6)/(-4) + 12/(-8). Suppose z - 2 = -m*z. Determine i so that -2/7*i**z - 4/7 - 6/7*i = 0.
-2, -1
Factor 16/9 + 49/9*b + 1/3*b**2.
(b + 16)*(3*b + 1)/9
Let d(g) be the third derivative of 0 - 1/12*g**4 + 3*g**2 + 1/25*g**5 - 7/900*g**6 + 4/45*g**3 + 0*g. Find m such that d(m) = 0.
4/7, 1
Let w(z) = 3*z**3 - 6*z**2 + 5*z + 8. Let k be 51/(-9) + 2/3. Let f(m) = -2*m**3 + 3*m**2 - 3*m - 4. Let p(y) = k*f(y) - 3*w(y). Suppose p(t) = 0. Calculate t.
-2, 1
Let l(j) be the first derivative of -j**5/5 + 3*j**4/4 - j**3/3 - 3*j**2/2 + 2*j - 14. Factor l(p).
-(p - 2)*(p - 1)**2*(p + 1)
Factor 0*w**3 + 3/7 + 3/7*w**4 - 6/7*w**2 + 0*w.
3*(w - 1)**2*(w + 1)**2/7
Let d(u) be the first derivative of u**6/6 + u**5 + 9*u**4/4 + 7*u**3/3 + u**2 - 2. Factor d(y).
y*(y + 1)**3*(y + 2)
Let z be (0 + 1)*(28 + -8). Suppose -z = x - 6*x. Factor -1/3*m**2 + 0*m**3 + 0 + 1/3*m**x + 0*m.
m**2*(m - 1)*(m + 1)/3
Let q = 378 + -1898/5. Let b = 37/20 + q. Factor 1/4*d**3 - 1/4*d**5 + 0*d + 0 - b*d**4 + 1/4*d**2.
-d**2*(d - 1)*(d + 1)**2/4
Let 6*f**2 + 2*f + 8*f - 6 - 4*f - 3*f**3 - 3*f = 0. Calculate f.
-1, 1, 2
Suppose -1/3*b + 2/3*b**4 + 0 - 2/3*b**2 + 1/3*b**5 + 0*b**3 = 0. What is b?
-1, 0, 1
Suppose -24 = -l + 5*a, -11 + 3 = 2*a. Let p = -2 + l. Factor -r + r**2 - p - 2*r - r**3 + 1 + 4*r.
-(r - 1)**2*(r + 1)
Let -1/2*w**3 + w**2 + 1/2*w - 1 = 0. Calculate w.
-1, 1, 2
Suppose -7*c + 2*c + 10 = -5*t, 14 = 4*c - 2*t. Determine k so that -4*k - 9*k**2 - c - 4*k - 3*k + 3 = 0.
-1, -2/9
Let i(b) be the first derivative of -b**7/42 - b**6/6 - b**5/2 - 5*b**4/6 - 5*b**3/6 - b**2/2 - 3*b - 3. Let w(u) be the first derivative of i(u). Factor w(s).
-(s + 1)**5
Let i(k) = 5*k**3 + 4*k**2 - k - 3. Let w(v) = -21*v**3 - 16*v**2 + 5*v + 13. Let a(u) = 26*i(u) + 6*w(u). What is b in a(b) = 0?
-1, 0
Suppose 0 = -5*b - 10 + 20. Let g(y) be the first derivative of -2 + 1/3*y**3 + y**b + y. Determine w so that g(w) = 0.
-1
Determine t, given that -17*t**2 - 4*t**4 + 0 - 1 - 21*t**3 + 33*t + 10 = 0.
-3, -1/4, 1
Let l(j) = -4*j**4 - 5*j**3 + 3*j**2 + 2*j + 4. Let p(w) = 5*w**4 + 6*w**3 - 4*w**2 - 2*w - 5. Let g(q) = 4*l(q) + 3*p(q). Factor g(z).
-(z - 1)*(z + 1)**3
Let x(q) be the second derivative of 3*q**5/100 + q**4/5 - 19*q. Factor x(p).
3*p**2*(p + 4)/5
Let l be 105/196 + (-4)/14. What is d in 3/4*d**3 + 1/4*d**5 + 0*d - 3/4*d**4 + 0 - l*d**2 = 0?
0, 1
Let v(y) = -y + 9. Let g be v(9). Suppose -4*d = -g*d. Factor d + 1/2*b**2 + 0*b + 1/2*b**3.
b**2*(b + 1)/2
Let r(b) = b**2 + 2*b - 2. Let y be r(0). Let k(l) = 3*l**2 + 3. Let n(h) = 4*h**2 + h + 4. Let o(v) = y*n(v) + 3*k(v). Factor o(c).
(c - 1)**2
Let d(t) be the third derivative of 1/330*t**5 + 0*t - 1/33*t**3 + 0 - 2*t**2 - 1/660*t**6 + 1/132*t**4. Solve d(l) = 0.
-1, 1
Let b = 5 + -1. Factor b*p**2 + 4*p - 5*p**2 - 5*p.
-p*(p + 1)
Factor 0 - 2/5*v**2 + 0*v - 7/5*v**5 - 3/5*v**3 + 12/5*v**4.
-v**2*(v - 1)**2*(7*v + 2)/5
Factor -m**3 + 2*m**3 - 2*m**2 - 8*m + 15*m - 6*m.
m*(m - 1)**2
Suppose -27 = -3*r - 5*d + 7, 3*d = 5*r. Suppose -7*q**3 + 4*q**2 + q + r*q**3 + 2*q**3 - 3*q = 0. What is q?
0, 1
Factor 3*c**3 - 3*c**2 - 5*c + 2*c - 3*c.
3*c*(c - 2)*(c + 1)
Let f(l) be the first derivative of 0*l - 1/14*l**4 - 4/7*l**2 - 3 + 8/21*l**3. Solve f(k) = 0 for k.
0, 2
Let k(o) be the third derivative of 0*o - 7*o**2 + 1/36*o**4 + 1/60*o**5 + 0 + 0*o**3. Suppose k(s) = 0. What is s?
-2/3, 0
Let f(y) be the first derivative of -2/3*y**3 + 7 + 2*y + 0*y**2. Find w such that f(w) = 0.
-1, 1
Let t be (-234)/(-39) - (4 - 0). Factor -4*i**t + 1/4 + 0*i.
-(4*i - 1)*(4*i + 1)/4
Let f(p) be the second derivative of p**7/84 - p*