 y(g) be the third derivative of v(g). Factor y(b).
b**2*(b + 1)/4
Let b = -78 + 81. Let q(k) be the first derivative of -2/7*k + 2/21*k**b + 4 + 0*k**2. Determine v so that q(v) = 0.
-1, 1
Let x(n) = n**2 - 7*n + 8. Let b be x(6). Suppose 3*t - t = 0. Factor 0*p + t*p**3 + 0 - 1/2*p**4 + 1/2*p**b.
-p**2*(p - 1)*(p + 1)/2
Solve 1/11*h**4 + 0*h**3 + 0*h - 1/11*h**2 + 0 = 0 for h.
-1, 0, 1
Let o(f) be the second derivative of 24*f**7/7 - 64*f**6/5 + 73*f**5/5 - f**4 - 6*f**3 - 2*f**2 + 36*f + 1. Factor o(w).
4*(w - 1)**3*(6*w + 1)**2
Let x be 3*-4*2/(-4). Let t be -2 + (-2)/x*-6. Factor 0*o + t*o**2 - 3/4*o**4 + 0 - 3/4*o**3.
-3*o**3*(o + 1)/4
Let z(w) be the second derivative of w**8/1440 - 4*w**7/945 + w**6/270 - w**4/3 - w. Let n(s) be the third derivative of z(s). Factor n(v).
2*v*(v - 2)*(7*v - 2)/3
Let z be 6/(-14)*14/(-4). Let a = 78 - 76. Factor 3/2*t**a + 0*t - z.
3*(t - 1)*(t + 1)/2
Suppose -z = 2, -4*z = -4*t + 75 + 13. Let h be ((-15)/t)/(3/(-8)). Let 0 + 2/7*m - 2/7*m**h = 0. Calculate m.
0, 1
Solve 1/3*p**2 + 2*p + 3 = 0.
-3
Let k = -22 + 27. Let t(d) = -d - 1. Let q(o) = -1 + 2*o**3 - 3 - 1 - 5*o. Let u(c) = k*t(c) - q(c). Determine g so that u(g) = 0.
0
Factor b - 1 - 1/4*b**2.
-(b - 2)**2/4
Let y(v) = -2*v**2 - 4*v - 4. Let g = -6 + 7. Let q(z) = z**2. Let x(u) = g*q(u) + y(u). Let x(f) = 0. What is f?
-2
Let y(u) be the second derivative of -4*u - 2/9*u**4 - 1/30*u**5 + 0 - 2/3*u**2 - 5/9*u**3. Find n such that y(n) = 0.
-2, -1
Let u(w) be the first derivative of 3 + 0*w**2 + 0*w - 7/16*w**4 - 1/5*w**5 + 1/6*w**3. Factor u(b).
-b**2*(b + 2)*(4*b - 1)/4
Factor -3/4*a + 9/8 - 3/8*a**2.
-3*(a - 1)*(a + 3)/8
Factor 12*h**4 - 3*h**3 - 2*h**5 + 4*h**3 + 3*h**3 - 10*h**4.
-2*h**3*(h - 2)*(h + 1)
Suppose 2*l - 40 = 6*l. Let i be 20/(-10)*2/l. Factor i*c**2 + 0*c + 0 - 2/5*c**4 + 0*c**3.
-2*c**2*(c - 1)*(c + 1)/5
Let r(j) be the second derivative of j**4/36 - j**2/6 + 9*j. What is g in r(g) = 0?
-1, 1
Factor 0*w**2 + 0 + 1/2*w**3 + 0*w.
w**3/2
Suppose 17 = 3*t + m - 3*m, -10 = -2*t + m. What is s in -6/7*s**t - 2/7 - 2*s**2 - 10/7*s = 0?
-1, -1/3
Let c be 6/42 - 25/(-315). Factor -2/3*m + c*m**2 + 4/9.
2*(m - 2)*(m - 1)/9
Let d(j) be the second derivative of j**5/100 + 5*j**4/12 + 143*j**3/30 - 169*j**2/10 - 2*j + 2. Solve d(y) = 0 for y.
-13, 1
Suppose 4*c + 28 = 11*c. Let l(f) be the second derivative of 0*f**2 + 0*f**3 + 1/24*f**c + 0 - 7/80*f**5 - 2*f. Factor l(h).
-h**2*(7*h - 2)/4
Let w = 3/113 - -657/791. Suppose -4/7*p**2 - w*p + 4/7*p**3 - 2/7 + 2/7*p**5 + 6/7*p**4 = 0. What is p?
-1, 1
Let a = 10653/340 - -127/68. Let q = 34 - a. Solve -q*c - 2/5*c**2 - 2/5 = 0 for c.
-1
Factor -7*z + 3/2*z**2 + 4.
(z - 4)*(3*z - 2)/2
Let d(q) = -5*q**3 + 19*q**2 - 47*q + 25. Let m(g) = -11*g**3 + 37*g**2 - 95*g + 49. Let p(z) = 5*d(z) - 2*m(z). Factor p(t).
-3*(t - 3)**2*(t - 1)
Let n be -1 - 0 - (6 - 11). Let o(b) be the second derivative of 0 - 1/15*b**6 + 1/5*b**5 - 2/3*b**3 + 0*b**n - 2*b + b**2. Factor o(f).
-2*(f - 1)**3*(f + 1)
Let v(i) be the first derivative of 4*i - 3*i**3 - 5*i**2 + 0*i + 3*i**3 - 2*i**3 - 2. Factor v(k).
-2*(k + 2)*(3*k - 1)
Let v(g) = g**3 - 5*g**2 - 4*g - 1. Let w be v(6). Factor 9 + w*q**2 - 5 + 16*q - q**2 + 2*q**2.
4*(q + 1)*(3*q + 1)
Let s(n) = -n**3 - n**2 + n - 1. Let v(u) = -2*u**4 + 3*u**3 + 7*u**2 - 3*u + 1. Let l(q) = -6*s(q) - 2*v(q). Factor l(m).
4*(m - 1)**2*(m + 1)**2
Suppose 5*s - 2*s - 12 = 0. Factor -2/9*g + 2/9*g**2 - 2/9*g**s + 2/9*g**3 + 0.
-2*g*(g - 1)**2*(g + 1)/9
Suppose 176 = -4*c + 44. Let j be 8/c*(-108)/48. Factor 2/11*o**2 + 4/11 + j*o.
2*(o + 1)*(o + 2)/11
Let d(p) = -4*p**2 - 10*p + 7. Let h(n) = -1 - 3*n + 1 - n**2 + 2. Suppose 5*f + 2*a + 3*a + 20 = 0, -4*a = f + 4. Let o(g) = f*d(g) + 14*h(g). Factor o(m).
2*m*(m - 1)
Let v(b) = -5*b**3 + b**2 + b - 5. Let x(g) = -g**3 + g**2 + g - 1. Let z(a) = v(a) - 4*x(a). Let r(n) be the first derivative of z(n). Factor r(w).
-3*(w + 1)**2
Factor -1/2*d + 0*d**3 - 3/4*d**2 + 0 + 1/4*d**4.
d*(d - 2)*(d + 1)**2/4
Let a(k) be the second derivative of k**4/18 + 10*k**3/9 + 25*k**2/3 + 2*k - 3. Factor a(c).
2*(c + 5)**2/3
Let v(j) = -3*j**5 + 5*j**4 - 5*j**3 + 3*j**2 - 4. Let h(t) = -5*t**5 + 9*t**4 - 9*t**3 + 5*t**2 - 7. Let g(w) = 4*h(w) - 7*v(w). Solve g(x) = 0 for x.
-1, 0, 1
Let d = 10 - 8. Determine t so that -3*t**3 + d*t + 0*t - 3*t**2 + 4*t = 0.
-2, 0, 1
Let y(l) be the second derivative of 2*l**6/5 - 9*l**5/20 - 9*l**4/4 - l**3 - 3*l. What is p in y(p) = 0?
-1, -1/4, 0, 2
Let y(v) = -v**3 + 2*v**2 + v. Let f be y(-1). Let p(u) be the second derivative of 1/24*u**4 + 0*u**f + 0 + 3*u + 1/12*u**3. Factor p(j).
j*(j + 1)/2
Let j = 175/3 - 58. Suppose j*n**2 + 4/3*n + 4/3 = 0. Calculate n.
-2
Determine y, given that 16/3*y + 16/3*y**2 - 4*y**3 - 8/3*y**4 + 4/3*y**5 + 0 = 0.
-1, 0, 2
Let a = 537 + -537. Let 2/15*f**3 + 8/15*f - 8/15*f**2 + a = 0. What is f?
0, 2
Let w(f) be the second derivative of -3*f**7/14 + 4*f**6/5 + 6*f**5/5 - 8*f**4 + 8*f**3 - 31*f. Determine j so that w(j) = 0.
-2, 0, 2/3, 2
Let q = 2 - -1. Let t(d) be the first derivative of 1 + 22/9*d**q + 8/3*d - 5/12*d**4 - 14/3*d**2. Suppose t(w) = 0. What is w?
2/5, 2
Suppose 5*u = -l + 5 + 5, 3*l - 12 = 3*u. Let r(d) be the third derivative of 0*d + 0 + 0*d**l + d**2 + 1/24*d**4 + 0*d**3 - 1/120*d**6. Factor r(f).
-f*(f - 1)*(f + 1)
Let q be ((-2)/(-2) - 1) + 1/5. Suppose -6*m + 2*m = 0. Factor -q*f + m - 1/5*f**2.
-f*(f + 1)/5
Let t(f) be the first derivative of -4/3*f + 2/9*f**3 - 3 + 1/3*f**2. Suppose t(z) = 0. What is z?
-2, 1
Let g(o) be the third derivative of 2*o**7/735 - o**5/35 + o**4/21 + 16*o**2. Suppose g(j) = 0. Calculate j.
-2, 0, 1
Let y(x) be the first derivative of 2*x**3/33 - 6*x**2/11 + 23. Factor y(z).
2*z*(z - 6)/11
Let c(u) = -u**3 - 3*u**2 + 3*u - 2. Let s be c(-4). Let 2*o**3 - 5*o - 2*o**5 + 2*o**4 + 5*o - 2*o**s = 0. Calculate o.
-1, 0, 1
Let q(f) = -6*f**2 - 111*f - 204. Let t = 34 + -49. Let h(p) = p**2 + 16*p + 29. Let u(y) = t*h(y) - 2*q(y). Factor u(g).
-3*(g + 3)**2
Let i(g) be the third derivative of -g**8/1512 + g**7/135 - g**6/30 + 2*g**5/27 - 2*g**4/27 - 2*g**2. Let i(c) = 0. What is c?
0, 1, 2
Let m(w) be the second derivative of w**6/6 - w**5/4 - 5*w**4/4 + 25*w**3/6 - 5*w**2 - 11*w. Determine h so that m(h) = 0.
-2, 1
Let a(x) be the second derivative of x**5/20 - x**4/8 + 2*x**2 + x. Let w(b) be the first derivative of a(b). Factor w(p).
3*p*(p - 1)
Let h(r) = r**3 - r**2 - r. Let l(m) = 3*m**3 - m**2 - 2*m. Suppose 6 = 4*x + b, -3*b - 1 = -x + 7. Let n(v) = x*h(v) - l(v). Determine j, given that n(j) = 0.
-1, 0
Factor 0 + 4/11*g**2 - 4/11*g**3 + 1/11*g**4 + 0*g.
g**2*(g - 2)**2/11
Let k = -2/25 - -29/50. Let h = 199/10 - 97/5. Factor h*v**4 + 0 - k*v - 3/2*v**3 + 3/2*v**2.
v*(v - 1)**3/2
Let c be (-28)/4 + (-4 - -2). Let a be (-6)/c - (-4)/3. Let 2/9*l + 2/3*l**3 + 2/9*l**4 + 0 + 2/3*l**a = 0. What is l?
-1, 0
Let j(t) be the first derivative of 1/4*t**3 + 1/10*t**5 - 3/160*t**6 + 3 + 0*t - 1/2*t**2 - 7/32*t**4. Let s(w) be the second derivative of j(w). Factor s(n).
-3*(n - 1)**2*(3*n - 2)/4
Let n(l) be the third derivative of l**5/30 + l**4/12 - 2*l**3 + 21*l**2. Find p, given that n(p) = 0.
-3, 2
Let q(k) be the first derivative of k**4 + 8*k**3/3 - 2*k**2 - 8*k + 33. Factor q(d).
4*(d - 1)*(d + 1)*(d + 2)
Let h be (-2)/30 + (-22)/(-330). What is b in 0*b**3 - 1/4*b**4 + 1/4*b**2 - 1/8*b**5 + h + 1/8*b = 0?
-1, 0, 1
Suppose -1 = 2*f + 3. Let x be 8 + f + -5 + 4. Factor -2/3*z**2 - 20/3*z**x + 0 - 28/3*z**4 + 0*z - 13/3*z**3.
-z**2*(2*z + 1)**2*(5*z + 2)/3
Let c(t) be the second derivative of t**4/12 + t**3/3 + t**2/2 + 19*t. Determine w so that c(w) = 0.
-1
Let m(p) be the third derivative of 0*p - 2/45*p**4 + 1/450*p**5 + 0 + 3*p**2 + 16/45*p**3. Factor m(d).
2*(d - 4)**2/15
Let w(u) = 3*u**2 - 3*u. Let z be w(-1). Let o(h) be the first derivative of 1/7*h**2 - 1 + 0*h + 1/21*h**z - 8/21*h**3 + 3/7*h**4 - 8/35*h**5. Factor o(i).
2*i*(i - 1)**4/7
Let g = -6 - -9. Factor -6/7*z**4 + 0*z + 0*z**g + 0 + 4/7*z**5 + 2/7*z**2.
2*z**2*(z - 1)**2*(2*z + 1)/7
Let c(h) be the third derivative of -h**5/3 - 14*h**4/3 + 8*h**3 + 35*h**2. Factor c(m).
-4*(m + 6)*(5*m - 2)
Let l(g) = -2*g**5 + 6*g**4 + 5*g**3 - 11*g**2 - 8*g + 5. Let w(j) = 3*