q**k = 0. What is q?
-1, 1, 2
Let w(s) be the third derivative of -s**6/270 - s**5/90 + s**4/54 - 5*s**2. Factor w(u).
-2*u*(u + 2)*(2*u - 1)/9
Let f(k) = 115*k**3 + 2*k - 1. Let t be f(1). Let q = t - 75. Let 4*g**2 + q*g**4 + 13*g**5 + g**5 + 22*g**3 - 9*g**4 = 0. Calculate g.
-1, -2/7, 0
Let b be ((-7)/49)/(1/(-14)). Suppose -2*i + 3*i = 0. Find f such that 3*f**3 + i*f + 0 - 7/3*f**4 - 2/3*f**b = 0.
0, 2/7, 1
Let o(z) = z**3 + 7*z**2 - 6*z + 19. Let s be o(-8). Let n(b) be the first derivative of 5/2*b**4 + 3 + b**2 + 0*b - 3*b**s. Factor n(a).
a*(2*a - 1)*(5*a - 2)
Suppose 5*t = 2*a + 2, -4*t = -0*t - 4*a + 8. Let w(h) be the first derivative of 6*h**3 + h - 5*h**3 + t - 15*h + 2*h. Solve w(z) = 0 for z.
-2, 2
Let d be (-760)/(-48) - 2/(-12). Suppose -4*h + 18 = 3*m - 0, 5*m + 2*h - d = 0. Find v such that 0*v**3 + m*v**2 - 2/3*v**4 + 0 + 4/3*v = 0.
-1, 0, 2
Let f(i) be the third derivative of 2*i**2 + 0*i + 1/24*i**4 + 1/60*i**5 + 0*i**3 + 0. What is r in f(r) = 0?
-1, 0
Let i(t) be the third derivative of -10*t**2 - 1/12*t**4 - 1/30*t**5 + 0*t**3 + 0*t + 0. Factor i(j).
-2*j*(j + 1)
Let b(s) be the first derivative of s**6/6 + s**5/5 - s**4/2 + 3. Suppose b(j) = 0. What is j?
-2, 0, 1
Suppose 3*y = 3*j - 0*j + 33, 0 = 3*y - 4*j - 33. Let h be 57/11 + (-2)/y. Solve 4/9*q**2 - 2/9 - 2/9*q - 2/9*q**h + 4/9*q**3 - 2/9*q**4 = 0.
-1, 1
Let p = -889 - -1779/2. Factor p*i + 1 - 25/8*i**3 - 25/4*i**2.
-(i + 2)*(5*i - 2)*(5*i + 2)/8
Let p = 46 + -183/4. Let t = 96 - 383/4. What is f in -p - t*f + 1/4*f**3 + 1/4*f**2 = 0?
-1, 1
Let d(t) = -6*t**2 + 69*t - 432. Let y(r) = 17*r**2 - 208*r + 1296. Let v(f) = -8*d(f) - 3*y(f). Let v(q) = 0. What is q?
12
Let n(m) = -4*m + 98*m**3 - 92*m**3 + m - 6*m**4. Let l(w) = -6*w**4 + 5*w**3 + w**2 - 4*w. Let p(k) = -3*l(k) + 4*n(k). Suppose p(z) = 0. What is z?
0, 1/2, 1
Let k be 0 + 3 + (0 - 3). Let l(x) be the second derivative of -1/20*x**5 - 2*x + 0*x**2 + k + 1/6*x**4 - 1/6*x**3. Find n, given that l(n) = 0.
0, 1
Let i(w) be the second derivative of w**8/1680 - w**7/280 + w**6/120 - w**5/120 - w**4/12 + 3*w. Let n(l) be the third derivative of i(l). Factor n(z).
(z - 1)**2*(4*z - 1)
Let n be (7/2 + -3)*12. Suppose -n*c = -3*c - 12. Solve -1/2*g**3 + 0*g + 0 - 1/4*g**c - 1/4*g**2 = 0.
-1, 0
Let m = -126 + 757/6. Let w(q) be the second derivative of -2*q + 1/20*q**5 - 1/12*q**4 + 1/2*q**2 - m*q**3 + 0. Factor w(f).
(f - 1)**2*(f + 1)
Let k = 0 + 2. Suppose -2*l**2 - 2*l**2 + 6*l + 6*l**k + 4 = 0. What is l?
-2, -1
Let k(g) be the first derivative of -g**4/14 - g**3/14 - 7*g + 10. Let f(m) be the first derivative of k(m). Factor f(a).
-3*a*(2*a + 1)/7
Let j(o) = 3*o - 8. Let v(h) = 12*h - 33. Let c(i) = 21*j(i) - 5*v(i). Let t(r) = r**3 + 3*r - 4. Let k(w) = -4*c(w) + 3*t(w). Factor k(z).
3*z*(z - 1)*(z + 1)
Factor -8*s**2 + 6*s**3 - 2*s**5 + 4*s**4 - 7*s - 7*s + 6*s.
-2*s*(s - 2)**2*(s + 1)**2
Let r(g) be the second derivative of g**7/168 + g**6/60 - g**5/40 - g**4/12 + g**3/24 + g**2/4 + 6*g. Suppose r(v) = 0. Calculate v.
-2, -1, 1
Let s(b) be the second derivative of 0 + 0*b**2 + 1/27*b**3 + b + 1/135*b**6 - 1/90*b**5 - 1/54*b**4. Let s(g) = 0. What is g?
-1, 0, 1
Suppose 0*q - 35 = -3*d + 4*q, 3*q = -d - 10. Suppose 0 = -d*p + 5 + 5. Factor -4/5 - 6/5*i**2 + p*i.
-2*(i - 1)*(3*i - 2)/5
Let y(a) be the first derivative of -88/21*a**3 - 4/7*a**2 - 177/14*a**4 - 124/7*a**5 - 2 - 200/21*a**6 + 0*a. Suppose y(w) = 0. Calculate w.
-1/2, -2/5, -1/4, 0
Let v(t) = -2*t**3 - 13*t**2 - 13*t - 9. Let b(g) = 2 + 3 + g**3 + 7*g + 0*g**2 + 7*g**2. Let i(k) = 7*b(k) + 4*v(k). Factor i(s).
-(s + 1)**3
Suppose -7 - 2 = -3*k. Suppose -k*g + 15 = 2*g. Factor -2*x**3 - 5*x**g - 5*x**3 - 3*x**2.
-3*x**2*(4*x + 1)
Let j(i) be the first derivative of i**4 - 8*i**3/3 - 2. Factor j(y).
4*y**2*(y - 2)
Let i = 11 + -9. Let b(n) be the second derivative of n**i - 1/12*n**4 - 1/6*n**3 + 0 - n. Factor b(w).
-(w - 1)*(w + 2)
Factor 2*a + 1/2 + 5/8*a**2 - 25/8*a**3.
-(a - 1)*(5*a + 2)**2/8
Let x(b) be the first derivative of 0*b + 0*b**3 + 1/96*b**4 - 3/2*b**2 + 0*b**5 + 3 - 1/480*b**6. Let n(f) be the second derivative of x(f). Factor n(v).
-v*(v - 1)*(v + 1)/4
Let l(o) = o**5 + 2*o**2 + 3*o. Let a(k) = -k**3 - k**2 - k. Let z = 11 - 7. Let c(v) = z*a(v) + 2*l(v). Find n such that c(n) = 0.
-1, 0, 1
Let i(f) = f**2 + 3*f + 2. Let v(h) = -2*h**2 - 7*h - 5. Let m be 37/(-7) - (-4)/14. Let z = 8 + -10. Let l(n) = m*i(n) + z*v(n). Factor l(b).
-b*(b + 1)
Let t be 0/((-4)/(-14) - (-15)/21). Factor t*b + 0 - 1/2*b**2.
-b**2/2
Let w = 41/63 - -1/63. Factor -2/3*z + w*z**2 - 4/3.
2*(z - 2)*(z + 1)/3
Factor -2*u**4 - 2*u**5 - 53*u**3 + 53*u**3.
-2*u**4*(u + 1)
Factor -3*s**3 - 2*s**3 + 9 + 5*s - 29 + 15 + 5*s**2.
-5*(s - 1)**2*(s + 1)
Let w(t) be the third derivative of -7*t**5/100 - 3*t**4/10 + 2*t**3/5 - 7*t**2. Determine u, given that w(u) = 0.
-2, 2/7
Suppose -2 = 5*y + 4*s, -2*y + 5*y = -4*s - 6. Find h such that 2/5*h**y + 0 + 2/5*h - 2/5*h**3 - 2/5*h**4 = 0.
-1, 0, 1
Let n(t) be the third derivative of t**7/273 + t**6/65 + 3*t**5/130 + t**4/78 + 2*t**2. Factor n(s).
2*s*(s + 1)**2*(5*s + 2)/13
Let p(s) be the second derivative of s**7/49 - s**6/21 + s**5/70 + s**4/42 + 8*s. Determine j, given that p(j) = 0.
-1/3, 0, 1
Determine b so that -2*b + 18 + 2*b - 24*b + 4*b**2 + 2 = 0.
1, 5
Let g = 309/4 + -77. Factor g*m**2 - 1/2*m + 0.
m*(m - 2)/4
Let k = -157 + 472/3. Find w such that 1/3*w**4 + 1/3*w - 2/3*w**2 - 2/3*w**3 + k + 1/3*w**5 = 0.
-1, 1
Let y = -3 + 4. Let r = y - -1. Solve 0 - 2*x**2 + 1 + x**r = 0.
-1, 1
Suppose 4*s + 8 = 6*x - x, s = -3*x + 15. Suppose -d = -1, 5 = z + d - 5. Factor -z*k**4 - 2*k + s*k**5 + 5*k - 3*k - 3*k**2 + 9*k**3.
3*k**2*(k - 1)**3
Let q(j) be the first derivative of -j**6/180 - 8*j**3/3 - 5. Let p(k) be the third derivative of q(k). Factor p(z).
-2*z**2
Let p(d) be the second derivative of d**7/2520 + d**4/4 - 2*d. Let f(w) be the third derivative of p(w). Solve f(s) = 0 for s.
0
Let a(r) be the second derivative of 1/9*r**3 - 1/63*r**7 - 1/9*r**4 + 0*r**5 + 2/45*r**6 + 2*r + 0*r**2 + 0. Suppose a(s) = 0. What is s?
-1, 0, 1
Suppose 4*i - 3*r - 6 = i, 20 = 3*i + 4*r. Suppose 1/4*d**i - 1/4*d**3 + 1/4*d - 1/4*d**2 + 0 = 0. What is d?
-1, 0, 1
Let q(c) = -c**3 - c**2 + c - 1. Let d(p) = 5*p**3 + 4*p**2 - 9*p + 4. Let l(r) = 3*d(r) + 6*q(r). Factor l(i).
3*(i - 1)*(i + 2)*(3*i - 1)
Let b(y) be the first derivative of y**4/3 + y**3 + y**2/3 + 10. Let b(t) = 0. Calculate t.
-2, -1/4, 0
Let v(w) be the first derivative of -w**4/14 + 2*w**3/7 - 3*w**2/7 + 2*w/7 - 16. Suppose v(t) = 0. What is t?
1
Factor z**2 - 5*z**2 - 7*z + 5*z - 2*z.
-4*z*(z + 1)
Let b(c) be the second derivative of -1/60*c**4 + 0*c**3 - 1/300*c**6 - 3/2*c**2 + 0 + 1/75*c**5 - c. Let p(f) be the first derivative of b(f). Factor p(h).
-2*h*(h - 1)**2/5
Let w(a) be the first derivative of a**2 + 5/12*a**4 - 1 + a + 7/6*a**3. Let j(c) be the first derivative of w(c). Factor j(m).
(m + 1)*(5*m + 2)
Let j(t) be the second derivative of -t - 19/10*t**5 + 4/3*t**3 + 0*t**2 - 4/3*t**4 - 7/15*t**6 + 0. Let j(m) = 0. What is m?
-2, -1, 0, 2/7
Suppose -5*a = 3*t - 6, -4*t + 0 + 8 = -a. Determine w, given that 3*w**2 - 3*w**t + 2*w**2 + 4 - 6*w**2 = 0.
-1, 1
Let h be ((-1)/(-3))/((-1)/(-6)). Let o be 80/(-210)*6/(-8). Factor 0 - 2/7*l**4 + 2/7*l**3 - 2/7*l + o*l**h.
-2*l*(l - 1)**2*(l + 1)/7
Suppose -34 = -12*r + 2. Let c(f) = -f**3 + 2*f. Let t be c(-2). Factor 0*s**r - s**t + 1/2*s + 0 - 1/2*s**5 + s**2.
-s*(s - 1)*(s + 1)**3/2
Suppose -i + 10 = 4*i. Suppose 4*k + 4 = -4*q + i*q, -2*q = 2*k. Factor 79*m**5 + 120*m + 381*m**4 + 8 + 435*m**q + 705*m**3 + 144*m**4 + 68*m**5 + 4.
3*(m + 1)**3*(7*m + 2)**2
Find z, given that 2/5*z**2 + 2/5*z - 2/5 - 2/5*z**3 = 0.
-1, 1
Let d(x) be the second derivative of 2*x**7/21 - 2*x**6/5 + 2*x**5/5 - 3*x. Solve d(o) = 0 for o.
0, 1, 2
Let c(f) be the third derivative of 0 + 4*f**2 - 1/200*f**6 + 1/100*f**5 + 1/40*f**4 - 1/10*f**3 + 0*f. Determine y so that c(y) = 0.
-1, 1
Suppose 0 = -43*b + 38*b + 15. Suppose 3*k + 3*y = -6, k - 6*k - 2*y = 1. Find j, given that -11/2*j + k + 21/2*j**b + 4*j**2 = 0.
-1, 2/7, 1/3
Let k(y) = -y**4 - y**3 - y**2 - y. Let d(l) = -24*l**4 - 26*l**3 - 10*l**2 - 18*l. Let x(p) = -2*d(p)