**2 + j - 1. Let o be (-18)/(-2) + 4 + -8. Suppose 0 = 9*m - 4 - o. Let p(r) = m*u(r) - 3*a(r). Solve p(q) = 0 for q.
1, 6
Let v be (14/16)/(10/20). Suppose 87 + 141 = 95*x + 38. Factor -5/4*y**3 - 1/4 - 11/4*y**x - v*y.
-(y + 1)**2*(5*y + 1)/4
Let g(i) = 22*i**3 - 4*i**2 - 11*i - 21. Let m = 379 + -388. Let r(d) = 5*d**3 - d**2 - 3*d - 5. Let t(j) = m*r(j) + 2*g(j). Let t(s) = 0. What is s?
-1, 3
Let f be (4 - 5) + -2*1. Let c(g) = 5*g**3 + 5*g**2 - 3. Let n = 74 - 75. Let r(o) = 1. Let w(y) = f*r(y) + n*c(y). Factor w(q).
-5*q**2*(q + 1)
Let k(m) be the first derivative of m**4/20 - 3*m**3/5 + 9*m**2/5 + 528. Factor k(t).
t*(t - 6)*(t - 3)/5
Let w = -36662/3 + 12222. Find b such that -4*b - 8/3 - w*b**2 = 0.
-2, -1
Let f = -18 - -26. Let c(i) = -i + 5*i**2 - f*i**2 + 2*i**2. Let j(v) = -12*v**2 + 5*v. Let b(z) = 6*c(z) + 2*j(z). Let b(u) = 0. What is u?
0, 2/15
Suppose -2/23*k**3 - 160/23*k**2 - 3626/23*k - 16428/23 = 0. Calculate k.
-37, -6
Let v be ((-888)/(-18))/(2/12). Suppose 292*h = v*h - 12. Factor 30*f**2 + 3/2 + 51/4*f + 12*f**h.
3*(f + 2)*(4*f + 1)**2/4
Factor 11154*c**2 + 1642545 - 212*c**3 - 399924*c - 15*c**4 + 4164*c**2 + 16*c**4.
(c - 69)**3*(c - 5)
Let k = -45976 + 321835/7. Factor -k*u**2 + 0*u + 0.
-3*u**2/7
Let i = -526 - -528. Let l(t) be the third derivative of 0*t - 4/105*t**7 + 0*t**4 + 4*t**i - 1/168*t**8 + 0*t**3 + 0*t**6 + 0 + 0*t**5. Factor l(s).
-2*s**4*(s + 4)
Let m be -5440*(-2 + (-76)/(-35)) + -1. Let n = m + 934. Find x such that 0 - 3/7*x - 3/7*x**4 + 3/7*x**2 + n*x**3 = 0.
-1, 0, 1
Let u(n) be the third derivative of -n**7/840 + 7*n**6/160 - 7*n**5/20 + 2*n**4/3 - n**2 + 864. Let u(j) = 0. What is j?
0, 1, 4, 16
Let g(j) be the third derivative of -2/735*j**7 + 3*j + 0 + 0*j**3 + 0*j**4 - 4/105*j**6 - 60*j**2 - 4/35*j**5. Factor g(m).
-4*m**2*(m + 2)*(m + 6)/7
Let s be (-6)/(-9) - 260/(-156). Determine f so that f + 0 + s*f**2 + 1/3*f**4 + 5/3*f**3 = 0.
-3, -1, 0
Let n = 618016/5 - 123596. Find y such that -n + 132/5*y - 21/5*y**2 = 0.
2/7, 6
Solve 52396 - 26391 - 26965 - 5*u**2 + 490*u = 0.
2, 96
Let u be (48/(-36))/(100/(-24)*(-4)/(-5)). Factor 0*j - u*j**5 - 54/5*j**3 + 0 - 54/5*j**2 - 18/5*j**4.
-2*j**2*(j + 3)**3/5
Let g(j) be the first derivative of -19*j**6/2 + 69*j**5/5 + 165*j**4/2 - 100*j**3 - 204*j**2 + 96*j + 3170. Determine b, given that g(b) = 0.
-2, -1, 4/19, 2
Let r(x) = 15*x - 5. Let u be r(1). Suppose z**3 - 24*z**2 + 36*z + 8*z**3 - u*z**3 + 5*z**3 = 0. Calculate z.
0, 3
Determine y, given that 75 - 14*y + 1/4*y**2 = 0.
6, 50
Let a(n) = -20 + n**2 + 36*n + 2*n**2 + 6 - 37 + 14*n. Let g be a(1). Factor 1/2*o**4 + 0*o + 0*o**g - o**3 + 0.
o**3*(o - 2)/2
Let 1359/8*l - 3/8*l**2 + 681/4 = 0. What is l?
-1, 454
Let b(h) = -83*h**4 - 5610*h**3 + 2810*h**2. Let k(g) = -24*g**4 - 1871*g**3 + 937*g**2. Let z(y) = 2*b(y) - 7*k(y). Factor z(s).
s**2*(s + 939)*(2*s - 1)
Let -3/5*o**5 + 0*o + 0 + 0*o**2 - 87/5*o**4 + 0*o**3 = 0. What is o?
-29, 0
Let j(c) be the third derivative of -c**7/385 + 3*c**6/110 + 87*c**5/110 - 97*c**4/11 + 36*c**3 + 9*c**2 + 11*c - 3. Solve j(r) = 0 for r.
-9, 2, 11
Let o(w) be the third derivative of -1/735*w**7 + 3*w + 0 + 0*w**3 - 1/70*w**5 + 1/140*w**6 + 1/84*w**4 + 8*w**2. Factor o(v).
-2*v*(v - 1)**3/7
Find j such that 2/9*j**2 + 6069128/9 - 6968/9*j = 0.
1742
Let g = -1995 - -921. Let x = 1077 + g. Determine t so that -5/4*t + 1/2*t**2 - 3/2 + 1/4*t**x = 0.
-3, -1, 2
Let m = -153651/5 - -153653/5. Factor 3/5*y**2 + 0 + m*y**3 + 0*y - 1/5*y**4.
-y**2*(y - 3)*(y + 1)/5
Let w(c) be the first derivative of 10*c**4 - 4*c + 5 + 1/4*c**5 + 1280*c**2 + 160*c**3. Let m(a) be the first derivative of w(a). Find f such that m(f) = 0.
-8
Let z be (987/14)/((-24)/(-416)). Let y = 4889/4 - z. Determine s, given that -1/2*s**4 + 0 + 0*s + y*s**5 + 1/2*s**2 - 1/4*s**3 = 0.
-1, 0, 1, 2
Let o be ((-6)/(-2)*-1 + 2)/(-43 - -41). Let -338 - 312*b + 51/2*b**2 - o*b**3 = 0. What is b?
-1, 26
Let l(a) be the second derivative of -a**6/90 - a**5/2 + 7*a**4/4 - 16*a**3/9 + 85*a + 6. Factor l(p).
-p*(p - 1)**2*(p + 32)/3
Let f be 11472/10 + 27 + -17. Let c = -1154 + f. Factor 16/5 + 4/5*z**2 - c*z.
4*(z - 2)**2/5
Let b be (55/(-18))/(-5) + (-12 - (-414)/36). Let r(f) be the first derivative of -1/18*f**4 + 0*f + 5/27*f**3 + 10 - b*f**2. Factor r(i).
-i*(i - 2)*(2*i - 1)/9
Let n(g) be the second derivative of -g**5/8 - 95*g**4/12 + 3400*g**3/3 - 39000*g**2 - 1773*g. Factor n(h).
-5*(h - 20)**2*(h + 78)/2
Let x(r) = -6*r**5 + 24*r**3 - 2*r**2 - 8*r + 2. Let q(v) = -5*v**5 + 20*v**3 - 2*v**2 - 7*v + 2. Let w(i) = 5*q(i) - 4*x(i). Factor w(h).
-(h - 1)**3*(h + 1)*(h + 2)
Let a(i) = 5*i - 3. Let w(m) be the second derivative of 1/12*m**4 + 1/2*m**2 - 15*m + 0 + 1/6*m**3. Let n(f) = 5*a(f) - 5*w(f). Factor n(x).
-5*(x - 2)**2
Let y = -86885/3 - -28967. Let -8/3*l**3 - y*l + 1/3*l**4 + 6*l**2 + 5/3 = 0. What is l?
1, 5
Let k = -7 + 10. Suppose 60415*w - 60337*w = 0. Factor w*u + 0 + 3/2*u**2 - 3/2*u**4 + 0*u**k.
-3*u**2*(u - 1)*(u + 1)/2
Let r(p) be the third derivative of 11*p**6/200 - 9*p**5/25 + 3*p**4/10 + 16*p**3/5 + 1363*p**2 - 1. Factor r(f).
3*(f - 2)**2*(11*f + 8)/5
Suppose -96*g + 217*g - 56 = 114*g. Determine n so that -10*n**4 + 362/3*n**3 + g*n - 1100/3*n**2 + 48 = 0.
-1/3, 2/5, 6
Suppose -f + 3*k + 1 = -k, -3*k = 5*f - 28. What is j in -36*j**f + 3*j**3 + 3*j**4 - 6*j**4 + 5*j**2 - 2*j**2 + 33*j**5 = 0?
-1, 0, 1
Factor 0*t - 36/7*t**2 + 0 + 24/7*t**3 - 4/7*t**4.
-4*t**2*(t - 3)**2/7
Let i(r) be the first derivative of 2*r**3/3 + 4200*r**2 + 8820000*r + 5671. Let i(m) = 0. Calculate m.
-2100
Let o = 699329/182490 - -36/30415. Factor 49/6*h**3 - 1/3 - 35/3*h**2 + o*h.
(h - 1)*(7*h - 2)*(7*h - 1)/6
Let q(r) be the third derivative of -r**8/480 - r**7/56 - r**6/90 - 11*r**3 - 2*r**2 - 39*r. Let s(j) be the first derivative of q(j). What is n in s(n) = 0?
-4, -2/7, 0
Let i(n) be the third derivative of 961/33*n**3 + 0 - 128*n**2 + 0*n + 1/330*n**5 - 31/66*n**4. Factor i(m).
2*(m - 31)**2/11
Let g(s) be the second derivative of -s**5/210 + s**4/21 + 5*s**3/21 - 64*s**2 - 165*s. Let h(a) be the first derivative of g(a). What is t in h(t) = 0?
-1, 5
Let y(r) be the second derivative of 1/15*r**6 + 0*r**3 - 1/84*r**7 - 3/40*r**5 + 0*r**4 + 0 - 82*r + 0*r**2. Factor y(c).
-c**3*(c - 3)*(c - 1)/2
Let x(g) be the first derivative of -g**6/45 - g**5/15 + g**4/6 + 4*g**3/9 - 4*g**2/3 + 40*g + 153. Let f(u) be the first derivative of x(u). Factor f(i).
-2*(i - 1)**2*(i + 2)**2/3
Let k(a) be the third derivative of a**8/84 + 2*a**7/105 - a**6/15 - 3*a**2 + 119*a + 4. Let k(g) = 0. Calculate g.
-2, 0, 1
Let g = -5694149/6 - -949025. Suppose -5/6*h + 0 + g*h**2 = 0. Calculate h.
0, 5
Let b = 701 - 1097. Let k = 400 + b. Let -6*w**3 + 0 - 3/2*w**k - 8*w**2 - 1/8*w**5 + 0*w = 0. What is w?
-4, 0
Let s(w) be the second derivative of -3*w**5/20 - 67*w**4/4 + 35*w**3 + 204*w**2 - 324*w. Suppose s(g) = 0. What is g?
-68, -1, 2
Let 2717574/11 - 8076/11*t + 6/11*t**2 = 0. What is t?
673
Let g(k) be the third derivative of -k**6/24 - 3*k**5/2 - 55*k**4/8 - 40*k**3/3 - 354*k**2. Factor g(i).
-5*(i + 1)**2*(i + 16)
What is y in -3/2*y - 1/2*y**2 + 5 = 0?
-5, 2
Suppose 0 = 2*u - 5*c - 54 - 14, 3*c = -3*u + 60. Let m be (-10)/(-30) + u/9. Factor 3*n**2 + 8*n - 3*n - 5*n**2 - m*n.
-2*n*(n - 1)
Let h(y) be the third derivative of -1/180*y**5 - 2*y**2 + 0 + 0*y**4 - 35*y + 1/18*y**3. Determine m so that h(m) = 0.
-1, 1
Let o(k) = -k**3 + 38*k**2 + 661*k - 3. Let h be o(-13). Solve -2/3*c**2 + 0 + 7*c**3 - h*c**4 + 70/3*c**5 + 0*c = 0 for c.
0, 1/5, 2/7, 1/2
Suppose 5 - 27 = -11*s. Suppose 16*j**3 - 6*j**2 + 43*j - 39*j - 14*j**s = 0. Calculate j.
0, 1/4, 1
Let b(f) be the third derivative of 185/6*f**4 - 73*f + 1/12*f**5 + 0 + 13690/3*f**3 + f**2. What is o in b(o) = 0?
-74
Let y be -6*148*3/72. Let p be y/(-21) - (-61)/(-1281). Suppose -p*r**2 + 2/7 + 10/7*r = 0. What is r?
-1/6, 1
Let y be 2/(15138/(-3028) - -5). Let w be (y/(-5))/(-4) + 8/(-20). Factor -6*u**3 - w*u**2 - u**4 + 4*u**4 + 154*u**2.
3*u**2*(u - 1)**2
Let p(n) be the third derivative of -2/15*n**5 + 5/12*n**4 + 5*n**2 - 1/60*n**6 + 0*n**3 - 10*n + 0. Determine m so that p(m) = 0.
-5, 0, 1
Let x(i) be the second derivative of i**4/16 - 715*i**3/8 + 1071