16*r**3/15 - 317*r**2. What is t in u(t) = 0?
-64, -1
Let m be 2*(-1)/(-10) - (-117)/65. Factor -41*c**3 - 32*c**4 - m*c - 12*c**5 + 17*c**3 + 6*c.
-4*c*(c + 1)**3*(3*c - 1)
Let v(s) be the second derivative of -s**7/315 + s**5/75 - s**3/45 - 65*s. Factor v(y).
-2*y*(y - 1)**2*(y + 1)**2/15
Let z(h) = -18*h**3 - 615*h**2 - 44115*h - 1029000. Let l(s) = -s**3 + s**2 - s. Let b(c) = 15*l(c) - z(c). Factor b(m).
3*(m + 70)**3
Let s be (-2)/((-78)/9 + 8). Let a(t) be the second derivative of 0*t**s - 1/27*t**4 + 1/9*t**2 + 0 + 1/135*t**6 - t + 0*t**5. Determine x so that a(x) = 0.
-1, 1
Let z be (6 - -1) + -6 + 2. Suppose 0 = -4*t + 5*t - 2, 0 = -z*v - 3*t + 18. Factor 3*k**4 + k**v + 3*k**3 - 3*k - 5*k**4 - 2*k**4 + 3*k**2.
-3*k*(k - 1)**2*(k + 1)
Let w(x) be the third derivative of 0*x**3 - 11*x**2 + 0*x**4 - 1/210*x**7 + 0 + 0*x + 1/60*x**5 + 1/120*x**6 - 1/336*x**8. Factor w(y).
-y**2*(y - 1)*(y + 1)**2
Let w(u) = -u**3 + 7*u**2 + 3*u + 34. Let x be w(8). Let v be (((-21)/x)/1)/((-27)/(-12)). Factor 2*s - 4/9 - v*s**2.
-2*(s - 1)*(7*s - 2)/9
Let i be 2/10 - ((-19614)/(-245) + -3). Let d = -76 - i. Solve -8/7 + 16/7*h - d*h**2 = 0 for h.
2/3, 2
Let k(w) be the second derivative of -w**5/150 + w**3/15 - 2*w**2/15 + 30*w. Factor k(b).
-2*(b - 1)**2*(b + 2)/15
Let l(w) be the first derivative of w**4/3 - 8*w**3/3 + 8*w**2 + 10*w - 24. Let y(o) be the first derivative of l(o). Suppose y(t) = 0. Calculate t.
2
Suppose 4*g - 5*g - p = -4, p = 4*g - 6. What is b in -9*b**g - 14*b + 25*b**2 + 11*b**2 + 8*b = 0?
0, 2/9
Let t(x) = x**4 + 3*x**3 - x**2 - x + 1. Let p(j) = 3*j**4 + 16*j**3 - j**2 - 14*j - 4. Let n(s) = -p(s) + 4*t(s). Suppose n(a) = 0. Calculate a.
-1, 2, 4
Let x(a) be the second derivative of -a**7/63 - 4*a**6/45 - a**5/30 + 5*a**4/9 + 4*a**3/9 - 8*a**2/3 - 8*a + 6. Factor x(h).
-2*(h - 1)**2*(h + 2)**3/3
Let l(z) be the first derivative of z**4 + 16*z**3/3 + 2*z**2 - 24*z + 181. Factor l(t).
4*(t - 1)*(t + 2)*(t + 3)
Let k(o) = o**4 + 2*o**2 + o. Let w(d) = -7*d**4 + 11*d**3 - 12*d**2 - 3*d. Let c(m) = -3*k(m) - w(m). Factor c(f).
f**2*(f - 2)*(4*f - 3)
Let b(d) = d**4 + d**2 - d - 1. Let l(n) = -4*n**5 + 4*n**3 + 8*n**2 - 4*n - 4. Let q(i) = -4*b(i) + l(i). Factor q(o).
-4*o**2*(o - 1)*(o + 1)**2
Find u such that 17*u**4 - 25*u**2 + 40*u**2 - 32*u**3 + u**5 + 63*u**3 = 0.
-15, -1, 0
Let q be (4/(12/15))/(19 + (12 - 30)). Suppose -4/7*f**q - 2*f**4 + 16/7*f**2 + 0 + 8/7*f - 6/7*f**3 = 0. Calculate f.
-2, -1/2, 0, 1
Let y be 6 + ((-8)/(-40) - 1)*5. Suppose 19/3*a**3 - y*a**4 + 0 - 1/3*a**2 - 2*a = 0. What is a?
-1/2, 0, 2/3, 3
What is l in 0 + 4/7*l**5 - 96/7*l + 12/7*l**4 + 212/7*l**2 - 132/7*l**3 = 0?
-8, 0, 1, 3
Let o(v) be the first derivative of -v**3/6 - 2*v**2 + 101. Factor o(w).
-w*(w + 8)/2
Let d be ((-12)/10)/((-2)/10). Suppose -9 = -3*m + 3, 3*a + d = 3*m. Find w such that w**a + 3*w**2 + 4*w**2 - 9*w**2 = 0.
0
Let g be (-17)/102*(31 + -32). Solve -1/2*s**4 + 0 - 1/3*s + g*s**5 + 1/2*s**2 + 1/6*s**3 = 0.
-1, 0, 1, 2
Suppose 3*l + 2 = 3*m + 8, 5*m = 2*l - 10. Suppose l = r - 2. Determine p so that -p - 3*p**r + 3*p - p - 3*p**3 + 2*p + 3 = 0.
-1, 1
Factor -42 - 10178*i**2 - 71*i - 10180*i**2 + 20352*i**2 - 16*i.
-3*(i + 14)*(2*i + 1)
Let c be (-6)/(-27) - (-34)/9. Suppose 2*b**4 + b**3 - c*b**3 - 2*b**2 - 3*b**3 + 6*b = 0. Calculate b.
-1, 0, 1, 3
Let f(x) be the second derivative of -x**7/462 + x**6/165 + 3*x**5/220 + 63*x. Factor f(j).
-j**3*(j - 3)*(j + 1)/11
Let r(d) = 2*d**3 - 10*d**2 + 2*d - 6. Let n be r(5). Find m such that -4*m**3 + 2*m + n*m**2 + 0*m - 2*m + m**4 = 0.
0, 2
Suppose -4*u + 3*x + 47 = 26, -5*u - 3*x = -33. Let z(q) be the first derivative of -12*q - 4/3*q**3 + 8*q**2 + u. Factor z(s).
-4*(s - 3)*(s - 1)
Let y(m) be the third derivative of m**5/20 - 13*m**4/4 + 105*m**3/2 - 35*m**2 - 6. Factor y(r).
3*(r - 21)*(r - 5)
Let c(x) = -x**3 - 6*x**2 - 5*x + 3. Let j be c(-5). Let q be 1/j + 1*(-3)/(-9). Suppose q + 2/3*v + 1/6*v**2 = 0. What is v?
-2
Let p(m) be the first derivative of 4*m**3/3 - 6*m**2 - 72*m + 40. Factor p(w).
4*(w - 6)*(w + 3)
Let z(h) be the third derivative of h**8/2352 + h**7/245 - h**6/840 - h**5/70 - 726*h**2. Factor z(s).
s**2*(s - 1)*(s + 1)*(s + 6)/7
Let g(q) = -4*q + 1. Let r be g(-6). Solve -21*k**4 - 42*k**3 + 12 + 14*k**2 + r*k**2 + 20*k**5 - 8*k**5 + 52*k + 8*k = 0 for k.
-1, -1/4, 2
Let d = -907 + 6361/7. Let c be (-2)/(-8)*512/112. Factor c + 8/7*q**2 + 4*q - d*q**3.
-4*(q - 2)*(q + 1)*(3*q + 1)/7
Factor -2352 + 1156*y - 806*y + 8477 + 5*y**2.
5*(y + 35)**2
Suppose -2*i + 14 = 5*u, 5 - 3 = i. Factor u*f**2 + 10*f**2 - 6 + 27*f - 6*f + 0*f**2.
3*(f + 2)*(4*f - 1)
Let o(g) be the second derivative of g**7/14 - 2*g**6/15 - 17*g**5/20 + g**4/2 - g + 17. Factor o(q).
q**2*(q - 3)*(q + 2)*(3*q - 1)
Let m = 1637/19 + -86. Let j = m + 83/76. Solve 3/4*v**2 + v**5 - 3/4*v**4 - j*v**3 + 1/4*v + 0 = 0.
-1, -1/4, 0, 1
Let z(d) be the third derivative of -d**5/60 - 3*d**4/4 - 17*d**3/6 + 54*d**2 + 1. Determine c so that z(c) = 0.
-17, -1
Let k(y) be the first derivative of -2*y**5/85 - y**4/17 + 8*y**3/17 + 18*y**2/17 - 54*y/17 + 101. Let k(d) = 0. Calculate d.
-3, 1, 3
Let x(f) be the second derivative of 1587*f**5/80 + 437*f**4/16 - 11*f**3 + 3*f**2/2 - 2*f - 37. Let x(u) = 0. What is u?
-1, 2/23
Let k(l) be the second derivative of 75/4*l**4 + 10*l**2 + 0 - 30*l + 80/3*l**3 - 81/4*l**5. What is a in k(a) = 0?
-2/9, 1
Let k be (15/25)/(1/25). Let a = 28 - k. Let -i**3 + 13*i**2 + i + i**4 + 4 - 2*i**3 - a*i - 3*i**3 = 0. What is i?
1, 2
Let l(u) be the first derivative of -u**4/6 - 28*u**3/9 - 8*u**2 + 70. Factor l(g).
-2*g*(g + 2)*(g + 12)/3
Let h be (145926/(-2010))/((-21)/20). Determine w, given that 4/7*w**2 + 88/7*w + h = 0.
-11
Factor -2*b - 5*b - 19*b + 5*b**2 - 27*b - 7*b + 135.
5*(b - 9)*(b - 3)
Let y(v) be the third derivative of -v**5/12 - 35*v**4/8 - 45*v**3 + 814*v**2. Find i such that y(i) = 0.
-18, -3
Let 365 - 47*l - 347 + 5*l**2 + 0*l**2 = 0. Calculate l.
2/5, 9
Let p(x) be the third derivative of -2*x**7/105 + 2*x**5/15 - 2*x**3/3 - 151*x**2. Determine h, given that p(h) = 0.
-1, 1
Find w such that 18*w**3 - 15*w**3 - 680*w - 9*w**3 + 124*w**2 + 400 = 0.
2/3, 10
Suppose 106*n = 99*n + 21. Suppose -2/9*j - 1/9*j**n + 0 - 1/3*j**2 = 0. Calculate j.
-2, -1, 0
Let z(c) = c**2 - c + 2. Let p be z(0). Let u be 1 - (95/(-25) - -4). Determine m so that -2/5*m**p + 6/5*m - u = 0.
1, 2
What is o in 4*o**4 + 0*o - 4/3*o**5 + 4/3*o**3 + 16/3 - 28/3*o**2 = 0?
-1, 1, 2
Let i(o) = -o**4. Let u(x) = -6*x**4 + 96*x**3 - 141*x**2 + 36*x. Let n(s) = -15*i(s) + u(s). What is a in n(a) = 0?
-12, 0, 1/3, 1
Let i be 56/(-462)*3*(-8)/4. Solve 6/11*p**2 + 0*p + 2/11*p**3 - i = 0.
-2, 1
Let m(s) be the second derivative of 0*s**2 + 0 - 4/3*s**4 - 1/2*s**5 - 1/15*s**6 - 12*s - 4/3*s**3. Factor m(d).
-2*d*(d + 1)*(d + 2)**2
Let w(q) be the third derivative of -q**7/3360 - q**6/360 - q**5/120 - 7*q**3/3 - 8*q**2. Let i(b) be the first derivative of w(b). Solve i(r) = 0.
-2, 0
Let a be 220/18 + 22/(-99). Factor 2 + 2 + 7*b**2 + a*b - 23*b**2.
-4*(b - 1)*(4*b + 1)
Let y(i) = -i**4 + i**2 + 3. Let k(v) = -v**4 - v**3 + 2*v**2 + 4. Let s(r) = -3*k(r) + 4*y(r). What is q in s(q) = 0?
0, 1, 2
Suppose 0 = 3*v - 3, 30 = 2*s + 4*v - 0*v. Suppose 19 = 3*y + 3*o + s, 5*y - 4*o = 10. Determine n so that 2/15*n**3 + 6/5*n**y + 32/15 + 16/5*n = 0.
-4, -1
Let p be (-1 - (-274)/4)/(11 - 9). Let q = p + -197/12. What is t in 4/3 - q*t + 75*t**2 - 108*t**3 = 0?
2/9, 1/4
Suppose 174 - 162 = 2*c, 6*o = -c + 54. Factor -128*n - 48*n**2 - o*n**3 - 1/2*n**4 - 128.
-(n + 4)**4/2
Factor -775/6*g**2 + 0 - 5/3*g.
-5*g*(155*g + 2)/6
Let w(a) be the second derivative of a**4/48 - 5*a**3/8 - 27*a**2/4 - 129*a. Factor w(h).
(h - 18)*(h + 3)/4
Let x = 238 - 118. Factor 4*g**3 + 900*g - 63*g**2 - 900 + x*g - 61*g**2.
4*(g - 15)**2*(g - 1)
Factor -6/5*i**3 - 6/5*i**4 + 0*i - 2/5*i**5 - 2/5*i**2 + 0.
-2*i**2*(i + 1)**3/5
Let r = -26142 + 78434/3. Factor 5/3 + r*t + 1/4*t**2.
(t + 10)*(3*t + 2)/12
Suppose 3*m = 4*n + 20, -n - 25 = -4*m + 4*n. Suppose 5*y - d = m, 3*y = 5*y + 2*d. Factor y*i**2 - 4/9*i**4 + 2/9*i**5 + 0*i + 0 + 0*i**3.
2*i**4*(i - 2)/9
Let m = -929 - -16723/18. Let j(o) be the third derivative of -1/24*o**4 + 1/60