c - y = 4*f - 2. Factor -a**4 + 2*a**5 + 8*a**3 - 6*a + 2 - 4*a**3 + 0*a**3 - 5*a**c + 4*a**2.
2*(a - 1)**4*(a + 1)
What is r in -12/5*r**2 + 12/5*r**4 + 4/5*r**5 + 4/5*r**3 - 8/5*r + 0 = 0?
-2, -1, 0, 1
Factor -36*d**2 + 547 + 105 + 357*d - 1230 + d**3.
(d - 17)**2*(d - 2)
Let k(c) be the first derivative of 0*c**4 + 4/3*c**3 - 2/5*c**5 + 16 + 0*c**2 - 2*c. Suppose k(x) = 0. What is x?
-1, 1
Let h(m) = -m**2 + 2*m - m + 0*m - 1. Let w(s) = -9*s**2 + 19*s - 14. Let n be 2/8 - 3/12*5. Let j(q) = n*w(q) + 4*h(q). Factor j(z).
5*(z - 2)*(z - 1)
Let t be (51/170)/((-66)/232). Let q = 16/11 + t. Factor q - 2/5*g**2 + 0*g.
-2*(g - 1)*(g + 1)/5
Let q(d) be the third derivative of -d**7/735 + 151*d**6/420 - 255*d**5/7 + 33125*d**4/21 - 125000*d**3/21 + 5*d**2 - 38. Factor q(n).
-2*(n - 50)**3*(n - 1)/7
Let u be 1*(791/261 - 3). Let m = 8653/1305 - u. Find g such that 0 + 9/5*g**5 - 27/5*g**2 - m*g**4 + 6/5*g + 9*g**3 = 0.
0, 2/3, 1
Let u(m) = 10*m + 245. Let r be u(-24). What is k in 0*k + 0 + 0*k**2 + k**3 + 1/2*k**4 - 1/2*k**r = 0?
-1, 0, 2
Solve -3 - 855/2*i**2 - 303/2*i = 0.
-1/3, -2/95
Suppose 8/3*p**4 - 176/3*p**2 + 226/3*p**3 + 0 - 58/3*p = 0. What is p?
-29, -1/4, 0, 1
Let t(c) be the first derivative of 14 + 15/2*c**2 + 4*c**3 + 3*c. Determine k so that t(k) = 0.
-1, -1/4
Let o(b) be the first derivative of -2*b**6 - 3*b**5/5 + 52. Factor o(l).
-3*l**4*(4*l + 1)
Let x(h) = h**2 + 2*h - 1. Let c(y) = 3*y**2 + 9*y - 3. Let f(p) = -2*c(p) + 9*x(p). Let f(b) = 0. What is b?
-1, 1
Let p(x) = -x**2 - 12*x + 41. Let k(s) = -s**2 + 2*s + 1. Let a(d) = 2*k(d) - p(d). Factor a(n).
-(n - 13)*(n - 3)
Let v = -169/4 - -539/12. Factor -46/3*t**3 + 6*t + 0 - v*t**4 - 20*t**2.
-2*t*(t + 3)**2*(4*t - 1)/3
What is z in -12 + 7 + 2*z**2 + 9 - 4 + 66*z = 0?
-33, 0
Let z(s) = 21*s**2 - 3193*s + 156. Let m be z(152). Solve 0*l**3 - 3/7*l**m + 0 + 48/7*l + 36/7*l**2 = 0.
-2, 0, 4
Let a(w) be the third derivative of 0 + 0*w + 1/24*w**3 - 1/12*w**5 + 16*w**2 + 1/96*w**4. Factor a(c).
-(4*c - 1)*(5*c + 1)/4
Let s(r) = -27*r**2 + 61*r + 120. Let n(q) = -10*q**2 + 20*q + 40. Let v(o) = -11*n(o) + 4*s(o). Solve v(c) = 0 for c.
-10, -2
Suppose 3*w - 21 = -5*x + 18, 5*x - 33 = -w. Let g(i) = -i**2 + 6*i + 4. Let t be g(x). Solve -48*v**4 + 47*v**t - 2*v**5 + v**5 = 0 for v.
-1, 0
Let w(t) be the first derivative of -t**7/315 + 7*t**6/540 - t**5/90 - t**4/36 + 20*t**3/3 - 2. Let p(o) be the third derivative of w(o). Factor p(b).
-2*(b - 1)**2*(4*b + 1)/3
Let q be 2 + 1 - 1 - (-31 + 33). Factor -15*g**5 - 35*g**3 - g**2 - 40*g**4 + g**2 - 10*g**2 + q*g**2.
-5*g**2*(g + 1)**2*(3*g + 2)
Let 5*o + 6 - 41*o**2 + 53*o**2 - 2*o**3 - 15*o**2 = 0. What is o?
-2, -1, 3/2
Let s(l) = 3*l + 27. Let f be s(-8). Determine m, given that 15*m**3 + 119*m**2 - m**f + 12 - 80*m + 35*m**3 = 0.
-3, 2/7
Let a(i) be the second derivative of 2209*i**4/4 + 141*i**3 + 27*i**2/2 - 512*i. Factor a(g).
3*(47*g + 3)**2
Suppose -5*y - a + 17 = -0*a, -13 = -3*y - 2*a. Suppose 0 = t - 3 - y. Factor -3*n + t*n**3 - 81 + 81 - 3*n**5.
-3*n*(n - 1)**2*(n + 1)**2
Let q(w) = w - 5. Let l be q(7). Factor -19*s**5 + 8*s**5 + 6*s**3 + 9*s**5 + 4*s**l.
-2*s**2*(s - 2)*(s + 1)**2
Let v(n) be the second derivative of -5*n**7/42 - 5*n**6/6 - 3*n**5/2 + 5*n**4/6 + 35*n**3/6 + 15*n**2/2 - 129*n - 3. Let v(k) = 0. Calculate k.
-3, -1, 1
Let w be 0*1*3/(-3)*290/870. Factor -6/5*j - 1/5*j**4 + 1/5*j**2 + w + 6/5*j**3.
-j*(j - 6)*(j - 1)*(j + 1)/5
Let r(z) be the second derivative of 1/18*z**4 + 0*z**2 + 0 + 1/9*z**3 + 10*z. Factor r(w).
2*w*(w + 1)/3
Let n(h) be the first derivative of 0*h**5 + 0*h**2 + 2/3*h**3 + 1/1980*h**6 + 2 + 0*h**4 + 0*h. Let b(s) be the third derivative of n(s). Factor b(c).
2*c**2/11
Let j(i) be the first derivative of i**3/9 - i**2/3 + 109. Factor j(z).
z*(z - 2)/3
Suppose -24 = -0*d - 6*d. Find f, given that -407*f**2 - 13*f**d + 407*f**2 - 2*f**3 = 0.
-2/13, 0
Suppose 104/15*p - 2/15*p**2 - 1352/15 = 0. What is p?
26
Let a(w) be the third derivative of w**7/70 + w**6/8 + 3*w**5/20 - 5*w**4/8 - 2*w**3 + 9*w**2 - 2*w. Solve a(z) = 0.
-4, -1, 1
Let s(t) be the second derivative of -2*t**6/45 - 4*t**5/15 + 4*t**4/3 - 368*t. Let s(b) = 0. Calculate b.
-6, 0, 2
Let c(j) = -2*j + 3*j**3 - 4 + 2 + 4 - 1. Let v be c(1). Factor 6*i**3 + 2*i**5 - 2*i**3 + 9*i**v + 17*i**2 - 9*i**4 + 6*i**2 - 48*i + 16.
(i - 2)**3*(i + 2)*(2*i - 1)
Let p be 7/3 - (168/(-36) - -4). Factor 3/2*j + 0 - 3*j**p + 3/2*j**2.
-3*j*(j - 1)*(2*j + 1)/2
Let q(y) be the first derivative of y**5/10 + y**4/2 - y**3/3 - 3*y**2 - 18*y - 16. Let b(x) be the first derivative of q(x). Solve b(h) = 0.
-3, -1, 1
Let x(v) be the first derivative of -v**5/360 + v**4/36 - v**3/12 + 23*v**2/2 + 2*v + 2. Let u(a) be the second derivative of x(a). Find s such that u(s) = 0.
1, 3
Let q(s) be the first derivative of -4*s**3/21 + 20*s**2/7 - 309. Factor q(g).
-4*g*(g - 10)/7
Let x = 10447/3 + -3427. Let h = x + -55. Solve -1/2*k - 1/3*k**2 + h*k**3 + 1/2*k**4 + 1/6*k**5 - 1/6 = 0 for k.
-1, 1
Let c be (220/(-60) - -4)*(-3)/(-4). Factor -1/2*x - 1/4*x**2 - c.
-(x + 1)**2/4
Let f be 5/(-15) + (-14)/(-14). Let q(j) be the first derivative of 2*j**5 - 6 - f*j**6 - 1/8*j**2 + 5/6*j**3 + 0*j - 33/16*j**4. Determine k so that q(k) = 0.
0, 1/4, 1
Let o(m) be the second derivative of 5*m**7/6 - 47*m**6/30 + 4*m**5/5 + 20*m. Let f(h) = h**5 - h**4. Let a(n) = f(n) + o(n). Let a(w) = 0. Calculate w.
0, 2/3
Let b be -264 + 6*(-6)/(-9). Let t be (b/25)/(-2) + -5. Solve -2*r + 5*r**2 + t = 0 for r.
1/5
Let o(x) be the second derivative of x**7/2520 - x**6/540 + x**5/360 + x**3 + 6*x. Let j(d) be the second derivative of o(d). Determine q, given that j(q) = 0.
0, 1
Let a(o) be the second derivative of o**6/6 + 11*o**5/4 + 45*o**4/4 + 125*o**3/6 + 20*o**2 + 36*o - 3. What is z in a(z) = 0?
-8, -1
Let u(y) be the first derivative of -16/3*y**3 - 6*y**2 - y**4 + 0*y - 5. Factor u(a).
-4*a*(a + 1)*(a + 3)
Let g(u) be the first derivative of -1/15*u**5 + 1/12*u**4 + 1/9*u**3 + 0*u + 7 - 1/6*u**2. Find d such that g(d) = 0.
-1, 0, 1
Let 40*j + 617*j**2 - 712*j**2 + 20 + 10*j**3 + 25*j**3 = 0. What is j?
-2/7, 1, 2
Suppose 6*x - 3 = -3. Let d be -3*(5/(-30) - x). Determine f so that -1/2*f**5 + f**3 - f**2 + d - 1/2*f + 1/2*f**4 = 0.
-1, 1
Suppose -25/4*i**2 - 5/4*i**3 + 30 + 5/2*i = 0. Calculate i.
-4, -3, 2
Let h(z) be the second derivative of -z**5/2 - 83*z**4/6 + 34*z**3/3 - 106*z. Suppose h(l) = 0. Calculate l.
-17, 0, 2/5
Suppose 2*i + 15 = 5*v, 0*v = -2*i + 3*v - 5. Suppose -i*j = -u + 4*u + 10, 5*j + 25 = 0. Factor 0*f + 4 - f - 2*f**2 + 4*f - u*f.
-2*(f - 1)*(f + 2)
Suppose 8 = 3*r + 2. What is d in -2*d**3 - 8*d**4 + 2*d**r + 6*d**4 - 11*d**5 + 10*d**5 + 3*d**5 = 0?
-1, 0, 1
Let r(q) be the third derivative of -q**5/30 - q**4/4 + 4*q**3/3 - 33*q**2. Let r(z) = 0. What is z?
-4, 1
Let u(c) be the first derivative of -c**4/4 + 88*c**3/3 + 179*c**2/2 + 90*c - 619. Factor u(q).
-(q - 90)*(q + 1)**2
Let c = -1831/8 + 229. Let n(g) be the first derivative of 1/6*g**3 - 5 - c*g**2 + 1/24*g**6 - 1/10*g**5 + 0*g**4 + 0*g. Factor n(f).
f*(f - 1)**3*(f + 1)/4
Let w = 12595 + -12593. Let -255/2*m**w - 93/2*m - 75/2*m**3 - 9/2 = 0. What is m?
-3, -1/5
Let g be 4/(2/(-3 + 5)). Determine q so that -q**g - 3*q**5 - q**4 - 4*q**4 + 3*q**3 + 6*q**5 = 0.
0, 1
Let y(l) = 5*l**2 + 76*l - 928. Let k be y(8). Solve -8/9*r**3 + 0*r**2 - 4/3*r**4 + 0*r + k - 4/9*r**5 = 0 for r.
-2, -1, 0
Let n(k) be the second derivative of k**8/3360 + 25*k**4/12 - 14*k. Let a(f) be the third derivative of n(f). Factor a(b).
2*b**3
Suppose 0 = -h - h + 26. Suppose -4*q = -h + 5. Find z such that -5*z**4 - 6*z**2 - 10 - 12*z**3 + q*z**4 + 12*z + 19 = 0.
-3, -1, 1
Let x(j) be the second derivative of j**6/360 + 7*j**5/60 + 49*j**4/24 + 2*j**3 - 9*j. Let a(u) be the second derivative of x(u). Suppose a(g) = 0. Calculate g.
-7
Let n(x) be the second derivative of x**6/30 + 4*x**5/5 + 79*x**4/12 + 14*x**3 - 90*x**2 + 55*x. Factor n(u).
(u - 1)*(u + 5)*(u + 6)**2
Let m be 0*(((-4)/(-8) - 1) + 1). Let z(j) be the second derivative of m*j**4 + 0 - 1/6*j**2 - 1/12*j**3 - 12*j + 1/120*j**5. Suppose z(d) = 0. What is d?
-1, 2
Let r(u) be the first derivative of -2*u**5/15 - 23*u**4/24 - 7*u**3/9 + 5*u**2/12 + 86.