 + g + 1.
(g - 1)**2
Suppose 3*t - 11 = -5*i, -t = -4*t - 2*i + 17. Let c(z) = -z + 9. Let s be c(t). Find r such that -2*r**2 + 4*r**2 - s*r**2 + 3*r**4 = 0.
0
Let m(w) = 10*w**5 + 5*w**4 + 9*w**3 - 7*w**2. Let p(b) = 2*b**4 - 2*b**2 + 3*b**3 - 6*b**5 + 22*b**5 - 13*b**5. Let c(u) = -6*m(u) + 21*p(u). Factor c(h).
3*h**3*(h + 1)*(h + 3)
Let o = -48 + 69. Find k, given that o*k**4 - 64*k**2 + 15*k**3 + 7*k**5 + 13*k**5 - 16*k**2 - 20*k + 44*k**4 = 0.
-2, -1/4, 0, 1
Factor 0*g + 0 + 2/13*g**4 + 16/13*g**3 + 30/13*g**2.
2*g**2*(g + 3)*(g + 5)/13
Let m(r) be the second derivative of -10*r**7/21 + 146*r**6/45 - 10*r**5/3 - 8*r**4/9 + 167*r - 2. Solve m(h) = 0 for h.
-2/15, 0, 1, 4
Suppose -2*b + 212 = 3*f, 0 = -f - 6*b + b + 88. Let l be f/(-85)*10/(-4). Determine m, given that 4/5 - 2/5*m**l - 2/5*m = 0.
-2, 1
Let t(u) = -2*u**5 + 5*u**3 + 3*u**2 - 3*u + 3. Let z(y) = -3*y**5 + 7*y**3 + 4*y**2 - 4*y + 4. Let m(f) = -4*t(f) + 3*z(f). Factor m(d).
-d**3*(d - 1)*(d + 1)
Factor 0 + 26/17*w + 2/17*w**2.
2*w*(w + 13)/17
Solve 80/9*i**3 - 244/9*i + 2/3*i**2 - 2/9*i**4 + 160/9 = 0 for i.
-2, 1, 40
Let o be -12*-1*8/12. Solve 2*i - i**2 - 8 - o*i + 1 - 2 = 0.
-3
Let l(m) be the second derivative of 0*m**3 + m + 1/150*m**6 - 1/30*m**4 + 1/100*m**5 - 6 + 0*m**2. Factor l(s).
s**2*(s - 1)*(s + 2)/5
Let j(p) = 7*p + 25. Suppose -9*q + 13*q + 12 = 0. Let z be j(q). Let -1/2*o**2 - 8 - z*o = 0. Calculate o.
-4
Let z(c) be the first derivative of c**6/18 - c**5/15 - c**4/4 + 5*c**3/9 - c**2/3 + 656. Find g, given that z(g) = 0.
-2, 0, 1
Find y, given that -141/7*y**2 + 18/7 + 39/7*y + 123/7*y**4 - 3/7*y**3 - 36/7*y**5 = 0.
-1, -1/4, 2/3, 1, 3
Let v be (0/8)/(9 - 7). Factor -2/7 + v*u + 2/7*u**2.
2*(u - 1)*(u + 1)/7
Let i(f) be the first derivative of -f**7/2940 - f**6/630 + 8*f**3/3 + 22. Let z(h) be the third derivative of i(h). Factor z(x).
-2*x**2*(x + 2)/7
Suppose 5*k = 112 - 92. What is v in 0*v**3 - 3/2*v**k + 0*v - 3/2 + 3*v**2 = 0?
-1, 1
Let l = 1706 - 1692. Let r(z) be the third derivative of 1/180*z**6 - l*z**2 - 1/18*z**4 - 1/90*z**5 + 0*z**3 + 0*z + 0. Factor r(m).
2*m*(m - 2)*(m + 1)/3
Factor 13*u + u**3 - 6*u**3 - 12*u - 8*u - 22*u**2 + 18 - 8*u.
-(u + 2)*(u + 3)*(5*u - 3)
Let h(s) be the second derivative of -s**6/120 - s**5/10 - 11*s**4/24 - s**3 + 3*s**2/2 - 4*s. Let l(y) be the first derivative of h(y). Factor l(w).
-(w + 1)*(w + 2)*(w + 3)
Let v be ((-2)/16 - 16335/(-3960))/((-4)/(-3)). Solve -1/2*q + 0 - 1/4*q**v + 3/4*q**2 = 0 for q.
0, 1, 2
Let z be (-24)/(-132) - (-84)/22. Factor -3*d**2 - d**z + d**2 - d**2 + 4*d**2.
-d**2*(d - 1)*(d + 1)
Let w(r) be the second derivative of r**10/7560 - r**9/3780 - 29*r**4/12 - 9*r. Let i(a) be the third derivative of w(a). Determine t so that i(t) = 0.
0, 1
Let q(j) = -11*j**4 - 176*j**3 + 180*j**2 + 176*j - 169. Let g(i) = -155*i**4 - 2465*i**3 + 2520*i**2 + 2465*i - 2365. Let d(m) = 6*g(m) - 85*q(m). Factor d(l).
5*(l - 1)**2*(l + 1)*(l + 35)
Let g = -3814/3 + 1272. Solve 4/9 - 2/9*t**3 + 2/9*t**4 + 2/9*t - g*t**2 = 0.
-1, 1, 2
Let v be (-1)/6 + (-2569)/(-4830). Let g = v + 10/23. What is x in g*x**2 - 8/15*x + 2/3*x**3 - 16/15 + 2/15*x**4 = 0?
-2, 1
Let i(j) be the third derivative of -j**5/480 - 7*j**4/64 - 5*j**3/12 - 2*j**2 - 64. Factor i(d).
-(d + 1)*(d + 20)/8
Let j be 1*(-8)/(-3) - 2. Let l = 13764 + -13762. Factor -2/3*n + j*n**l - 4/3.
2*(n - 2)*(n + 1)/3
Suppose 2*f - 4 = -4*p, 5*f - 6*f + 5*p - 5 = 0. Let i(n) be the second derivative of f + 4/3*n**3 - 1/3*n**4 - 7*n + 0*n**2. Factor i(h).
-4*h*(h - 2)
Let k(n) be the third derivative of -n**7/140 + 3*n**6/80 - 97*n**2. Suppose k(a) = 0. Calculate a.
0, 3
Factor 1509/4*m**2 - 3888 + 13500*m + 21/8*m**3.
3*(m + 72)**2*(7*m - 2)/8
Let r(f) = f**5 + f**2 + f + 1. Let z(m) = 4*m**5 - 51*m**4 + 114*m**3 - 120*m**2 + 50*m - 13. Let w(j) = -20*r(j) - 5*z(j). Let w(d) = 0. What is d?
3/8, 1, 3
Let u = -214702/7 - -30672. Factor u*y**3 + 4/7*y**2 - 2*y + 8/7.
2*(y - 1)**2*(y + 4)/7
Let f be ((-156)/(-182))/(6/21). Let r(p) be the first derivative of 0*p - 2/11*p**2 - 6/11*p**f - 2/11*p**4 - 13. Factor r(d).
-2*d*(d + 2)*(4*d + 1)/11
Let d(v) be the second derivative of 0*v**3 + 0*v**2 - 3*v + 0*v**4 + 1/165*v**6 + 0 - 1/110*v**5. What is w in d(w) = 0?
0, 1
Let c(p) = 35*p**2 + 970*p - 400. Let x(v) = v**2 - 2*v. Let q(i) = c(i) - 10*x(i). Factor q(j).
5*(j + 40)*(5*j - 2)
Suppose 3*r - 67 + 55 = 0. Factor -16*k - k**3 - 2 + 2 + 12*k - r*k**2.
-k*(k + 2)**2
Let j = 3305/68 + 232/17. Let i = -62 + j. Let 0*t - 1/4*t**2 + i = 0. What is t?
-1, 1
Suppose 5*p - 3*p - 4 = 0. Let h = -90 + 90. Suppose -o**2 + h*o**2 - p*o**2 + 0*o**2 = 0. Calculate o.
0
Let d(b) be the second derivative of -b**5 + 2*b**4/3 + 38*b**3/3 + 24*b**2 + 212*b. Solve d(g) = 0 for g.
-1, 12/5
Let h(a) be the first derivative of 172/3*a**3 - 48*a**2 + 16*a + 1 + 28/5*a**5 - 30*a**4. Solve h(b) = 0.
2/7, 1, 2
Let c(j) be the third derivative of -j**6/420 - 23*j**5/210 + 53*j**4/84 + 25*j**3/7 + 100*j**2. Let c(x) = 0. Calculate x.
-25, -1, 3
Let t(m) be the first derivative of -m**5/80 - 3*m**4/32 + m**3/2 + 3*m**2/2 + 23. Let c(n) be the second derivative of t(n). Factor c(g).
-3*(g - 1)*(g + 4)/4
Let o be ((-4)/(-10))/(408/(-90) + 5). Suppose -4/7*c**2 - o*c + 4/7 + 6/7*c**3 = 0. What is c?
-1, 2/3, 1
Suppose 28 = -13*o + 60 - 6. Factor 2/5*g**o + 0*g + 0.
2*g**2/5
Suppose q - 3 + 1 = 0. Let a = q - -2. Suppose -8*z**2 + 8*z**a - z - 2*z**5 + 5*z - 2*z**5 = 0. Calculate z.
-1, 0, 1
Let u(h) = 2*h**4 - 6*h**3 - 5*h**2 + 6*h + 8. Suppose -v + 10 = 5. Let j(y) = -y**4 + y**2 - 1. Let m(r) = v*j(r) + u(r). Factor m(p).
-3*(p - 1)*(p + 1)**3
Let r(u) be the second derivative of 0 + 3*u - 49/4*u**5 + 40*u**2 - 290/3*u**3 + 280/3*u**4. Suppose r(g) = 0. What is g?
2/7, 4
Factor -8*s + 1 + 17*s**2 - 3 + 4*s**5 - 25*s**2 + 4*s**4 + 6*s**4 + 5*s**3 - s**3.
2*(s - 1)*(s + 1)**3*(2*s + 1)
Let m(d) = -d**5 - d**3 - d**2 + d - 1. Let n(y) = 2*y**5 + y**4 - 5*y**3 + 3*y**2 + 4*y - 2. Let h(i) = -m(i) - n(i). Find s, given that h(s) = 0.
-3, -1, 1
Let c(z) = 4*z**2 - 2*z. Let j(r) = 5*r**2 - r - 1. Let m(k) = -3*c(k) + 2*j(k). Solve m(o) = 0.
1
Let g(w) be the third derivative of 1/16*w**4 + 0 + 0*w**3 + 1/80*w**5 - 1/20*w**6 + 0*w + 1/56*w**7 - 28*w**2. Determine t so that g(t) = 0.
-2/5, 0, 1
Let n(z) be the second derivative of z**5/5 + 7*z**4/3 + 4*z**3 + 73*z. Suppose n(p) = 0. What is p?
-6, -1, 0
Let x be (3 + -1 + 123 - 0)/1. Let a be (x/35 - 3) + (-17)/(-7). Determine g so that -12*g - 1/4*g**a + 16 + 3*g**2 = 0.
4
Let k = 21 - 18. Solve -12*y - 3*y**4 - 3*y**2 - 4*y**2 + k*y**2 + 4*y + 10*y**3 = 0.
-2/3, 0, 2
Let c be (-6210)/(-210) - 29 - (-3)/((-42)/(-4)). Factor -3/7 - 3/7*n**2 + c*n.
-3*(n - 1)**2/7
Let s = 24 + -8. Suppose 4*p = f + f + s, 2*p - 4*f - 8 = 0. What is j in 3*j**3 - 2*j**p + 11*j**3 - 10*j**3 - 2*j**5 = 0?
-2, 0, 1
Suppose 153 = 6*k - 27. Let v be (-2 + 303/k)/(60/50). Factor 3/4*p**3 + 9/4*p - 15/4*p**2 + v.
3*(p - 3)**2*(p + 1)/4
Suppose 2*f - 11 = -4*n + 3*f, -n + 4*f - 16 = 0. Let d(w) be the third derivative of 2*w**2 + 0*w + 0 + 1/80*w**5 - 1/32*w**n + 0*w**3. Factor d(q).
3*q*(q - 1)/4
Let c(w) be the third derivative of w**8/112 + 11*w**7/210 + w**6/10 + w**5/15 + w**2 + 176*w. Factor c(l).
l**2*(l + 1)*(l + 2)*(3*l + 2)
Let t(h) = h**3 + 14*h**2 + h + 38. Let q be t(-14). Suppose -q*s = -22*s - 4. Suppose 6/13*u**s + 0*u - 2/13 + 4/13*u**3 = 0. Calculate u.
-1, 1/2
Let r(u) be the third derivative of -u**6/240 - u**5/40 + 3*u**4/16 - 5*u**3/12 + 57*u**2. Factor r(v).
-(v - 1)**2*(v + 5)/2
Suppose 6*l = -25 + 37. Factor 3/4 - 3/4*j**l + 3/4*j**3 - 3/4*j.
3*(j - 1)**2*(j + 1)/4
Suppose -2*d + 5 = -11, 0 = 5*a - 4*d + 17. Factor 0*b - 4/3*b**a + 2/3*b**2 + 0 + 2/3*b**4.
2*b**2*(b - 1)**2/3
Let s(o) = -2*o**3 + 3*o**2 - 2*o - 16. Let z be s(-5). Let h = z - 629/2. Factor -3/2*k**3 + h*k + 3*k**2 + 0.
-3*k*(k - 3)*(k + 1)/2
Let v be (165 - 163)*(-15)/(-20). Let -v*j + 4/3 + 1/6*j**2 = 0. What is j?
1, 8
Let n(x) = 610 + 565 + 4*x**2 - 50*x - 1130 + x**2. Let a(l) be the first derivative of l**2/2 - 1. Let p(t) = 20*a(t) + n(t). Find u, given that p(u) = 0.
3
Let y(f) be the second derivative of f**7/189 + 2*f**6/45 - 17*f**5/45 + 28*f**4/27 - 13*f**3/9 + 10*f