 = 0. Calculate j.
-1, 1
Suppose -5*b - 33 = -2*j, j - 4*b - 23 = 1. Let a(h) be the first derivative of 0*h**2 + 0*h + 1 + 1/6*h**j + 2/9*h**3. Find o, given that a(o) = 0.
-1, 0
Determine h, given that 6/7*h + 2/7*h**2 + 0 = 0.
-3, 0
Let a(l) = -l + 1. Let n(v) = v**2 + 2*v - 2. Let s(d) = -6*a(d) - 3*n(d). Factor s(q).
-3*q**2
Determine q, given that 0 - q**3 - 1/3*q**4 - 1/3*q - q**2 = 0.
-1, 0
Let s(d) be the third derivative of -d**6/280 - d**5/70 + 3*d**4/56 + 14*d**2. Find t such that s(t) = 0.
-3, 0, 1
Let p(u) be the second derivative of u**5/70 - u**4/14 + 2*u**3/21 - 12*u. Factor p(a).
2*a*(a - 2)*(a - 1)/7
Let i(j) = -7*j**2 + 2*j + 5. Let p(d) = 11*d**2 - 3*d - 8. Let n(x) = -7*x. Let w be n(-4). Let v be 37/(-7) - (-8)/w. Let m(a) = v*p(a) - 8*i(a). Factor m(h).
h*(h - 1)
Let o(c) be the second derivative of -c**7/105 - c**6/30 - c**5/25 - c**4/60 + 6*c. Factor o(a).
-a**2*(a + 1)**2*(2*a + 1)/5
Determine h, given that -10*h**2 + 6*h + 2*h**3 + 2*h**4 + 161 - 161 = 0.
-3, 0, 1
Let t = 125 - 374/3. Let 1/3*c**4 + c**2 - t*c - c**3 + 0 = 0. What is c?
0, 1
Let b = 7 - -9. Let s = -14 + b. Factor -1/6*u**4 + 1/3*u**3 + 1/6 + 0*u**s - 1/3*u.
-(u - 1)**3*(u + 1)/6
Let c(a) = a**4 - 2*a**3 - 4*a**2 - 4*a + 3. Let d(v) = -v**4 + v**3 + 3*v**2 + 3*v - 2. Let t(k) = 2*c(k) + 3*d(k). Suppose t(q) = 0. What is q?
-1, 0, 1
Let o = 170 + -1188/7. Solve 4/7*a**3 + o*a**2 + 0*a + 2/7*a**4 + 0 = 0 for a.
-1, 0
Let i be 7/(168/(-114)) + 5. Factor 1/2 - 3/4*o + 0*o**2 + i*o**3.
(o - 1)**2*(o + 2)/4
Suppose 3 - 1 = y. Factor 7*g**y - 5*g**2 + 9*g + 2 + 5*g**2.
(g + 1)*(7*g + 2)
Let s = 8237/57 - 206/19. Let r = s - 131. Factor -8/3*i**2 - r*i**4 - 2/3*i + 0 - 4*i**3 - 2/3*i**5.
-2*i*(i + 1)**4/3
Let b(z) be the second derivative of z**7/84 + z**6/30 - z**5/20 - z**4/3 - 7*z**3/12 - z**2/2 - 5*z. Factor b(g).
(g - 2)*(g + 1)**4/2
Suppose 21*k = 3*k + 54. Suppose 36/7*f**2 - 32/7*f**k + 2/7 + 10/7*f**4 - 16/7*f = 0. What is f?
1/5, 1
Factor 0 - 2/5*p**2 - 4/5*p.
-2*p*(p + 2)/5
Factor 0 - 36/7*w**5 + 12*w**4 - 1/7*w - 61/7*w**3 + 2*w**2.
-w*(w - 1)**2*(6*w - 1)**2/7
Let o be (-99)/(-540) - (-1)/(-6). Let r(s) be the third derivative of 1/16*s**4 + 0*s + 1/12*s**3 - s**2 + o*s**5 + 0. Determine v so that r(v) = 0.
-1, -1/2
Let z be (12/(-9))/(2/(-18)). Let a be (z/(-5))/(21/(-140)). Let -3*c**5 - 7*c - 6*c**3 + 0 + 9*c**4 - 6*c**2 - 3 + a*c = 0. Calculate c.
-1, 1
Let i(j) be the first derivative of j**6/40 + j**5/80 + j**2/2 + 4. Let o(x) be the second derivative of i(x). Factor o(d).
3*d**2*(4*d + 1)/4
Let f(r) be the first derivative of -44*r**3/3 - 4*r**2 - 7. Factor f(z).
-4*z*(11*z + 2)
Factor p + 1/2*p**3 + 7/4*p**2 - 1/4*p**4 + 0.
-p*(p - 4)*(p + 1)**2/4
Suppose 2*b + 9 = 3, 4*m + 11 = -b. Let z = m - -2. Factor g**2 + 3*g**4 + 2*g + z + 2*g**2 - 8*g**3 + 0.
g*(g - 2)*(g - 1)*(3*g + 1)
Let q(a) be the first derivative of -a**4/2 + 2*a**3 - 4*a + 1. Let r(n) = -3*n**3 + 6*n**2 - n - 5. Let t(d) = -5*q(d) + 4*r(d). Find h, given that t(h) = 0.
-2, -1, 0
Let y(p) be the second derivative of 7*p**6/24 + 33*p**5/40 - 39*p**4/16 + p**3/6 + 3*p**2/2 + 22*p. Determine i, given that y(i) = 0.
-3, -2/7, 2/5, 1
Suppose 0 = 6*n - 3 - 33. Let p be (2/n)/(8/32). Solve 1/3*d**2 - p*d + 4/3 = 0.
2
Let n(a) be the third derivative of a**6/180 - a**5/60 - a**4/6 + 5*a**3/3 - 8*a**2. Let t(s) be the first derivative of n(s). Factor t(j).
2*(j - 2)*(j + 1)
Let i(a) = 3*a**5 - 8*a**4 - 6*a**3 + 8*a**2 - 3*a - 2. Let k(c) = c**5 + c**3 + c**2 + c. Let p(b) = 3*i(b) + 6*k(b). Determine w so that p(w) = 0.
-1, -2/5, 1
Factor 7 - 11*b + 11*b - 4*b**2 - 3.
-4*(b - 1)*(b + 1)
Let l(x) be the first derivative of x**7/105 - x**6/75 - 3*x + 2. Let f(r) be the first derivative of l(r). Factor f(i).
2*i**4*(i - 1)/5
Let v be (1 + -1)/(-1 - 0). Suppose -5*i + i + 16 = v. Factor 4/3*x**3 + 0 - 2/3*x**5 - 2/3*x + 0*x**i + 0*x**2.
-2*x*(x - 1)**2*(x + 1)**2/3
Let m = -4 + 4. Let m*v**3 + 2*v**2 - 4*v**3 + v**4 + v**4 = 0. Calculate v.
0, 1
Let d be ((-3)/6)/((-6)/8). Let m(w) be the first derivative of 4/5*w**2 - 1 - 2/5*w + 1/5*w**4 - d*w**3. Solve m(j) = 0.
1/2, 1
Let v(u) = -9*u**3 - 16*u**2 - 19*u - 4. Let k(s) = 35*s**3 + 65*s**2 + 75*s + 15. Let t(h) = -4*k(h) - 15*v(h). Factor t(c).
-5*c*(c + 1)*(c + 3)
Let m be 9*3 + (-14 - -13). Let w be m/40 + 24/(-60). Suppose 1/4 - 1/4*u**2 - 1/4*u**3 + w*u = 0. What is u?
-1, 1
Let s(w) be the second derivative of w**4/54 + w**3/9 + 2*w**2/9 + 4*w. Factor s(c).
2*(c + 1)*(c + 2)/9
Suppose -22*o = -18*o - 12. Let v(a) be the second derivative of -1/20*a**5 - 1/12*a**4 + 0 + 0*a**2 + 3*a + 1/6*a**o + 1/30*a**6. Factor v(q).
q*(q - 1)**2*(q + 1)
Let b be (-3 - -1) + -1 + 3. Let g(o) = o**3 + o**2 + o + 1. Let y be g(b). Factor x + x - 16*x**2 - y + 32*x**3 + 1.
2*x*(4*x - 1)**2
Let f(p) be the first derivative of 2*p**3/27 - 7*p**2/9 + 4*p/3 + 8. Factor f(b).
2*(b - 6)*(b - 1)/9
Let y be (45/2970)/(2/8). Let k(h) be the first derivative of -y*h**3 + 0*h**2 + 0*h - 4 - 1/22*h**4. Factor k(x).
-2*x**2*(x + 1)/11
Let k(x) be the first derivative of 1/36*x**4 - 1/270*x**5 - 2*x**2 - 2/27*x**3 + 0*x + 2. Let d(q) be the second derivative of k(q). Factor d(h).
-2*(h - 2)*(h - 1)/9
Let r(j) = -3*j**4 - 6*j**3 - j**2 + 2*j + 6. Let b(f) = -f**4 - f**3 + f**2 - f + 1. Let d(m) = -2*b(m) + r(m). Factor d(l).
-(l - 1)*(l + 1)*(l + 2)**2
Let l(m) be the first derivative of m**6/3 - 4*m**5/5 - 3*m**4/2 + 8*m**3/3 + 4*m**2 + 1. Factor l(j).
2*j*(j - 2)**2*(j + 1)**2
Let p(a) be the second derivative of -3*a**5/20 + a**4 - 2*a**3 - 9*a. Factor p(f).
-3*f*(f - 2)**2
Let y(s) = 3*s**3 + 3*s**2 + 6*s. Let l(i) = -2*i**3 - 2*i**2 - 5*i. Let k(x) = 6*l(x) + 5*y(x). Factor k(p).
3*p**2*(p + 1)
Let b(u) = -u**3 - 3*u**2 + 5*u + 2. Let x be b(-5). Let i be x/36*(-16)/(-9). Factor 2/3 - i*g + 2/3*g**2.
2*(g - 1)**2/3
Let b = 32/119 + 2/119. Factor 2/7*p**2 + b - 4/7*p.
2*(p - 1)**2/7
Let y(h) be the third derivative of -h**7/84 + 11*h**6/48 + 13*h**5/8 + 205*h**4/48 + 35*h**3/6 + 2*h**2. Let y(s) = 0. What is s?
-1, 14
Let h(m) be the first derivative of -m**6/45 + 4*m**5/75 + m**4/10 - 8*m**3/45 - 4*m**2/15 + 3. Factor h(q).
-2*q*(q - 2)**2*(q + 1)**2/15
Let j(s) be the first derivative of 0*s**3 - 3/7*s**2 - 2 + 1/14*s**4 + 4/7*s. Factor j(d).
2*(d - 1)**2*(d + 2)/7
Solve -7*d + 3*d**2 - 6*d + 6 + 19*d + 3*d = 0 for d.
-2, -1
Suppose -36*k**3 - 3/7*k**2 + 23/7*k + 2/7 = 0. Calculate k.
-1/4, -2/21, 1/3
Let a(l) be the third derivative of 0 + 4/15*l**6 - 8*l**2 - 7/12*l**4 + 0*l + 1/3*l**3 + 4/15*l**5. Suppose a(p) = 0. What is p?
-1, 1/4
Let d(p) be the first derivative of p**6 - 14*p**5/5 - 13*p**4/3 + 4*p**3 + 17*p**2/3 + 2*p - 7. Find l such that d(l) = 0.
-1, -1/3, 1, 3
Factor -1 + 5*i - 2*i**3 - 49*i**2 + 3 + 50*i**2.
-(i - 2)*(i + 1)*(2*i + 1)
Let c(d) be the third derivative of -d**8/336 + d**7/105 + 15*d**2. Let c(f) = 0. What is f?
0, 2
Let i(s) = 4*s - 2 + 2*s**2 + 7 + 4. Let r(g) = 1. Let m(j) = -2*i(j) + 14*r(j). Factor m(w).
-4*(w + 1)**2
Let o(t) be the second derivative of t**9/1008 + t**8/280 - t**6/60 - t**5/40 - t**3 + 6*t. Let v(n) be the second derivative of o(n). Solve v(d) = 0.
-1, 0, 1
Factor 200/9 + 40/9*p + 2/9*p**2.
2*(p + 10)**2/9
Let p(d) be the first derivative of -d**8/2520 + d**7/1260 + d**3/3 - 7. Let b(m) be the third derivative of p(m). Factor b(v).
-2*v**3*(v - 1)/3
Suppose 5*k = -4*w + 8, 2*w + 4*k = 2 + 2. Suppose -6*o + 3*o - 2 + 3*o + w*o**2 = 0. What is o?
-1, 1
Let s be (28/175)/((-4)/(-14)). Let c = s - 4/25. Suppose -4/5 - 2/5*h + c*h**2 = 0. What is h?
-1, 2
Let l(g) be the third derivative of 3*g**7/560 - g**6/60 + g**5/60 + g**3 + g**2. Let j(x) be the first derivative of l(x). Determine n, given that j(n) = 0.
0, 2/3
Let i(c) = 66*c + 398. Let w be i(-6). Find s such that 0*s**2 + 1/2*s**3 - w*s + 0 = 0.
-2, 0, 2
Let r be 94/6 + 10/(-15). Suppose -3*z = 2*m - 6 - r, 0 = -z - 2*m + 11. Determine h so that 1/2 + 1/2*h**4 - 1/2*h - h**2 - 1/2*h**z + h**3 = 0.
-1, 1
Factor 2/7 + 6/7*k**2 + 2/7*k**3 + 6/7*k.
2*(k + 1)**3/7
Let o(v) be the second derivative of -4*v**6/105 - 13*v**5/70 - 11*v**4/42 - 2*v**3/21 + v. Suppose o(s) = 0. What is s?
-2, -1, -1/4, 0
Let t = -116 - -467/4. Determine j so that -t*j + 3/4*