 given that 5*r**2 - 2*r**2 + 15 - 1416*r + 1434*r = 0.
-5, -1
Factor -12 - 63*b + 15 + 75*b**2 + 366*b**2 - 1029*b**3.
-3*(7*b - 1)**3
Let m be 8/(-6)*12/(-8). Let y be m/(-6) + (-2)/(-6). Factor 1/4*r**2 - 1/4*r + y.
r*(r - 1)/4
Let w(t) = -2*t**4 - 4*t**2 - 4*t - 2. Let k(n) = 3*n**4 + 8*n**2 + 7*n + 3. Let h = -4 - 3. Let c(i) = h*w(i) - 4*k(i). Find m such that c(m) = 0.
-1, 1
Let a(o) be the third derivative of 0 + 1/9*o**3 + 1/90*o**5 + 0*o - 1/18*o**4 - o**2. Suppose a(t) = 0. What is t?
1
Let l(j) be the first derivative of j**5/5 - 2*j**4 + 2*j**3 + 20*j**2 + 25*j + 22. Find c, given that l(c) = 0.
-1, 5
Let r be 2 + 27/(-36) + -1. What is q in q**2 - 1/2*q**5 - 3/4*q**4 + 0*q + 1/2*q**3 - r = 0?
-1, 1/2, 1
Suppose 0 = -5*p - 5*g + 50, 4*p - 6*g = -5*g + 15. What is a in 0*a**2 + 0*a**3 + 1/3*a**p + 0 - 1/3*a**4 + 0*a = 0?
0, 1
Let d = 72/13 + -766/143. Factor -2/11 + 4/11*w**2 + 0*w - d*w**4 + 0*w**3.
-2*(w - 1)**2*(w + 1)**2/11
What is k in 1/4*k**2 - 1/4*k**3 + 0 - 1/4*k**4 + 1/4*k = 0?
-1, 0, 1
Let g(d) be the first derivative of d**3/3 - d - 13. Find x such that g(x) = 0.
-1, 1
Let s(i) = 5*i**3 + 16*i**2 - i - 6. Let n(x) = 45*x**3 + 145*x**2 - 10*x - 55. Let g(u) = 6*n(u) - 55*s(u). Let g(f) = 0. What is f?
-1, 0
Let l = 5 - 3. Factor -w**2 + 0*w - 5/2*w**3 + 0 - l*w**4 - 1/2*w**5.
-w**2*(w + 1)**2*(w + 2)/2
Let j(f) be the first derivative of f**6/30 - f**5/5 + f**4/3 - f + 2. Let o(u) be the first derivative of j(u). Solve o(l) = 0.
0, 2
Let q(k) be the third derivative of 1/18*k**4 + 0*k + 2*k**2 - 1/3*k**3 + 7/180*k**5 + 0 + 1/108*k**6. Let p(f) be the first derivative of q(f). Solve p(t) = 0.
-1, -2/5
Let v(p) = -p**2 - 9*p - 2. Let f(c) = -2*c**2 - 27*c - 7. Let r(i) = 2*f(i) - 7*v(i). Suppose r(o) = 0. Calculate o.
-3, 0
Determine t, given that -5/4 - 5/4*t**2 - 5/2*t = 0.
-1
Let f(m) be the second derivative of -m**5/330 + m**4/66 - m**3/33 + m**2 + 3*m. Let c(j) be the first derivative of f(j). Factor c(k).
-2*(k - 1)**2/11
Let i(q) be the second derivative of q**6/1620 + q**5/270 + q**4/108 + q**3/3 - 2*q. Let y(p) be the second derivative of i(p). Factor y(t).
2*(t + 1)**2/9
Let s = -25 + 25. Let d(m) be the first derivative of -1/18*m**4 - 1/9*m**2 + s*m - 4/27*m**3 - 1. Factor d(c).
-2*c*(c + 1)**2/9
Let w(j) be the third derivative of j**6/480 + j**5/120 + j**4/96 - 6*j**2. Factor w(g).
g*(g + 1)**2/4
Let y(w) be the third derivative of 2*w**7/735 - w**6/70 + w**5/105 + w**4/14 - 4*w**3/21 + 10*w**2. Factor y(t).
4*(t - 2)*(t - 1)**2*(t + 1)/7
Let h be -4*(6/(-4) + 1). Let t(u) be the second derivative of u + 0*u**h + 1/18*u**4 + 0 + 1/9*u**3. Factor t(z).
2*z*(z + 1)/3
Let s(j) = 4*j**4 - 4*j**3 + 3*j**2 - 10*j. Let d(x) = -3*x**4 + 3*x**3 - 2*x**2 + 7*x. Let g(n) = 7*d(n) + 5*s(n). Let g(i) = 0. What is i?
-1, 0, 1
Factor 1/5*m**3 - 7/5*m**2 + 0*m + 0.
m**2*(m - 7)/5
Let y = 7 - 5. Determine o so that 0*o**2 - 3*o - 2*o**2 + o + o**y = 0.
-2, 0
Let g be (1 - -3)*(2 + 0). Let z = g - 3. Solve x**3 - 8 + 4*x**4 + 14*x - 2*x**z - 16*x**2 + 4 + 3*x**3 = 0.
-2, 1
Suppose -7*m + m = -30. Solve 12/7*a + 4/7*a**m + 2/7 + 32/7*a**3 + 18/7*a**4 + 4*a**2 = 0.
-1, -1/2
Suppose 4*d = 2*p + 16, 0*p - 1 = d + 2*p. Suppose b**2 - d*b**4 - b**3 + 2*b**4 + 3*b - 2*b = 0. Calculate b.
-1, 0, 1
Let c be 2*(3 + -2*5). Let r be ((-18)/c)/((-8)/(-28)). Factor 9/2*z**2 + r*z**3 + 3/2*z + 0 + 3/2*z**4.
3*z*(z + 1)**3/2
Let x(k) = k**3 + 8*k**2 + k - 6. Let q(z) = z**2 - 1. Let r(d) = -6*q(d) + x(d). Find t such that r(t) = 0.
-1, 0
Factor -4*y**2 + 15 - 10*y**2 - 10*y**2 + 18*y + 27*y**2.
3*(y + 1)*(y + 5)
Let x(u) be the second derivative of -7*u**7/9 + 322*u**6/135 - 73*u**5/45 - 52*u**4/27 + 31*u**3/9 - 2*u**2 - 12*u. Suppose x(l) = 0. What is l?
-2/3, 3/7, 1
Let b(p) be the second derivative of p**7/84 - p**5/10 - p**4/12 + p**3/4 + p**2/2 + 13*p. Factor b(c).
(c - 2)*(c - 1)*(c + 1)**3/2
Find r such that 0*r**3 - 1/4*r**2 + 0*r + 0 + 1/4*r**4 = 0.
-1, 0, 1
Let t be 20/(-70) - 114/(-7). Suppose -2*z + t = 2*z. Find s such that 0 + 2/9*s**2 - 2/9*s**5 + 0*s - 2/3*s**3 + 2/3*s**z = 0.
0, 1
Factor -8/3*t - 1 + 1/3*t**4 + 0*t**3 - 2*t**2.
(t - 3)*(t + 1)**3/3
Let x(s) be the third derivative of 0*s - 1/30*s**5 + 0 + 0*s**3 + 0*s**4 - 3*s**2. Let x(k) = 0. Calculate k.
0
Find w, given that w**4 - 7*w**4 + 6*w**3 + 2*w**5 - 23*w**5 - 9*w**4 = 0.
-1, 0, 2/7
Let h = -121 + 82. Let p be -2 + h/(1*-3). Factor -2*r + p - 11 - 2*r**2.
-2*r*(r + 1)
Let w(g) = 10*g**4 + 25*g**3 + 10*g**2 - 7*g. Let c be 9/(-6) + 2/4. Let q(n) = -n**4 - n**3 - n**2 + n. Let v(a) = c*q(a) - w(a). What is u in v(u) = 0?
-2, -1, 0, 1/3
Suppose 5*o + 20 = 0, x - o = 5*x - 4. Find c such that 2/7*c + 0 + 0*c**x - 2/7*c**3 = 0.
-1, 0, 1
Let p(i) be the third derivative of i**7/630 + i**6/180 - i**5/180 - i**4/36 - 4*i**2. Factor p(w).
w*(w - 1)*(w + 1)*(w + 2)/3
Let w(f) = 8*f - 2*f**2 - f**3 - 6*f**2 + 0*f**3 - 7. Let h be w(-9). Solve 1 - 4 - 1 + h*j + 2*j**2 = 0.
-2, 1
Let m = -10 - -10. Suppose m*x + x = 0. Let 0 - 2/7*y**3 + 0*y**2 + x*y = 0. Calculate y.
0
Suppose -10 = -3*t + 3*b - 7*b, b + 1 = t. Solve 2*f**2 - 16*f**3 - t*f**4 + 16*f**3 = 0.
-1, 0, 1
Let o(a) = 2*a**3 - 3*a**2 + 4*a. Let j(k) = 11*k**3 - 17*k**2 + 23*k. Let p = -14 - -8. Suppose 2*n = 3*n - 34. Let g(y) = n*o(y) + p*j(y). Factor g(h).
2*h*(h - 1)*(h + 1)
Let c(g) = -2*g - 9. Let z(m) = -2*m - 10. Let v(d) = 4*c(d) - 3*z(d). Let f be v(-4). Factor 4/3*h**f - 2/3*h**3 + 0 - 2/3*h.
-2*h*(h - 1)**2/3
Let p be (3 - (-1 + 3)) + 115/(-120). Let m(c) be the second derivative of 0 + 0*c**3 - 1/20*c**6 + 1/84*c**7 + 3/40*c**5 - c - p*c**4 + 0*c**2. Factor m(r).
r**2*(r - 1)**3/2
Let v(q) be the third derivative of -q**8/32 + 29*q**7/420 + 17*q**6/240 - 11*q**5/40 + q**4/12 + q**3/3 - 8*q**2. What is o in v(o) = 0?
-1, -2/7, 2/3, 1
Let -2/13*n**2 + 2/13*n + 0 = 0. Calculate n.
0, 1
Let s = 3/19 + 10/57. Let u(f) be the second derivative of 3*f + 1/3*f**3 + 0 - s*f**2 - 1/9*f**4. Factor u(o).
-2*(o - 1)*(2*o - 1)/3
Let 4/3 + 169/3*y**2 + 52/3*y = 0. What is y?
-2/13
Let d(q) be the first derivative of 1/12*q**3 + 1/30*q**6 + 1/6*q**4 + q + 1 + 0*q**2 + 1/8*q**5. Let n(r) be the first derivative of d(r). Factor n(h).
h*(h + 1)**2*(2*h + 1)/2
Let q(n) be the second derivative of -n**5/10 + 17*n**4/24 - 5*n**3/3 + n**2 + 10*n. Factor q(u).
-(u - 2)**2*(4*u - 1)/2
Suppose 14*f - 83 + 13 = 0. Let k(b) be the first derivative of -3/5*b**f + 0*b - b**3 + 3/2*b**4 + 0*b**2 - 1. Factor k(h).
-3*h**2*(h - 1)**2
Factor 145*v**3 + 5*v - 14*v**2 + 4*v**2 + 10 - 150*v**3.
-5*(v - 1)*(v + 1)*(v + 2)
Let i = 6 + -6. Suppose -3*d = -i*d. Find q, given that 2/3*q**4 + 4/3*q**3 - 1/3*q - q**5 + d - 2/3*q**2 = 0.
-1, -1/3, 0, 1
Let l = 16 - 16. Let a(n) be the third derivative of 0*n + 0*n**3 - 2/525*n**7 - 1/300*n**5 + l*n**4 + 1/120*n**6 + 0 + 2*n**2. Let a(f) = 0. What is f?
0, 1/4, 1
Factor 6*m**2 + 2*m + 17*m**3 - 4*m**3 + 2*m**4 - 7*m**3.
2*m*(m + 1)**3
Let p be (-37)/20 - (-3)/1. Let o = p - 2/5. Factor -o*h**3 + 1/4*h + h**2 - 1/2.
-(h - 1)**2*(3*h + 2)/4
Factor -2/7*u**2 + 0 + 0*u.
-2*u**2/7
Let h(x) be the third derivative of 1/168*x**8 - 1/15*x**5 + 0*x**4 + 2/105*x**7 + 0*x**3 - 1/60*x**6 + 0 + 0*x + x**2. Factor h(z).
2*z**2*(z - 1)*(z + 1)*(z + 2)
Let g(z) = 3*z**3 - z**2 - z + 2. Let m be g(1). Let q(w) be the first derivative of -7/9*w**m + 5/12*w**4 + 2 + 1/3*w**2 + 0*w. Solve q(u) = 0.
0, 2/5, 1
Let r(i) be the second derivative of 4/165*i**6 + 3*i + 1/22*i**5 - 5/33*i**3 + 0 - 1/22*i**4 - 1/11*i**2. Let r(u) = 0. Calculate u.
-1, -1/4, 1
Suppose 4*c + 2 + 14 = 0. Let m be (c/(-5))/(6/15). What is n in 1/3*n**3 - 1/3*n**m + 2/3*n**4 + 0*n + 0 = 0?
-1, 0, 1/2
Let w(c) be the third derivative of -c**10/18900 - c**9/7560 - c**8/10080 + c**5/60 + 2*c**2. Let x(t) be the third derivative of w(t). Let x(j) = 0. What is j?
-1/2, 0
Let h = -26/5 - -83/15. Let c(z) be the first derivative of -2 - h*z**2 + 0*z - 2/9*z**3. Factor c(n).
-2*n*(n + 1)/3
Factor -3*g**2 + 5*g**2 + 8*g + 2*g**2.
4*g*(g + 2)
Let f(u) be the first derivative of 1/9*u**2 + 0*u + 2/45*u**5 - 2/27*u**3 - 1/18*u**4 + 4. Let f(l) = 0. What is l?
-1, 0, 1
Let n be (-30)/(-45) + 4/(-15). Let j(f) be the first derivative of n*f**5 + 1 + 0*f**2 +