 2/3*s**2 + 4/9*s**3 - 8/9*s - q.
-2*(s - 2)**2*(s + 1)**2/9
What is h in -24*h**3 + 8*h**4 - 32*h**2 - 15*h**4 + 5*h**4 - 2*h**4 = 0?
-4, -2, 0
Let d = -322 + 414. Let m be d/230 + 12/(-55). Factor -2/11*r**5 + 0 + 0*r + 0*r**3 + m*r**4 + 0*r**2.
-2*r**4*(r - 1)/11
Let o(q) be the first derivative of -4*q**3/3 + 732*q**2 - 2582. Find s, given that o(s) = 0.
0, 366
Let x(m) = m**2 - 17*m - 105. Let z be x(22). Suppose -z*q - 35 = -5*s, 10*s - 3*q - 5 = 15*s. Factor 0*d + 2/3*d**4 - 2*d**3 + 4/3*d**s + 0.
2*d**2*(d - 2)*(d - 1)/3
Let a be (3/220*-4)/(352/1920 - (-3)/(-9)). Factor 8/11*n**3 + a*n + 10/11*n**2 + 2/11*n**4 + 0.
2*n*(n + 1)**2*(n + 2)/11
Let v(o) be the first derivative of 968/9*o - 80/27*o**3 - 154/9*o**2 + 62 - 1/9*o**4. Suppose v(r) = 0. What is r?
-11, 2
Let h be (105/18 + -7)*205/(-287). Factor 0 + 1/2*z - h*z**2 - 1/3*z**3.
-z*(z + 3)*(2*z - 1)/6
Suppose g = 89 - 77. Let -5 + g*x + 43*x - 35*x**2 + 23 + 12 = 0. Calculate x.
-3/7, 2
Let s(h) = h**3 + 10*h**2 + 8*h - 4. Let x be s(-9). Suppose -x*i - 25 = -3*u, 0 = -0*u - u + 4*i + 13. Solve 4*m**2 + 0 + u*m + 4 - 1 - 1 + m**3 = 0 for m.
-2, -1
Let i(m) be the first derivative of -m**4/9 - 4*m**3/9 - 4*m**2/9 - 2165. Determine w, given that i(w) = 0.
-2, -1, 0
Suppose -2*o + 15*o - 26 = 0. Solve 6 - 14 + 4*b**o - 13 - 3 + 4*b = 0.
-3, 2
Let u(w) be the first derivative of w**6/2 + 62*w**5/5 + 195*w**4/4 - 456*w**3 + 216*w**2 + 1047. Suppose u(p) = 0. What is p?
-12, 0, 1/3, 3
Let z = 63332 - 189992/3. Let d = 3/70 - -901/210. Factor z*h**2 - d*h + 1.
(h - 3)*(4*h - 1)/3
Let m(q) = 4*q**2 - 7*q - 5. Let l(w) = -2*w**2 + 4*w + 2. Suppose 2*t - 2 = -4*i + 6, -t + 5*i = 17. Let d = 9 - 14. Let j(c) = d*l(c) + t*m(c). Factor j(b).
2*b*(b - 3)
Let u(h) be the second derivative of -h**4/3 + 272*h**3/3 + 834*h**2 - 300*h. Factor u(z).
-4*(z - 139)*(z + 3)
Suppose -10*w + 72 = -w. Suppose 21*l + 12*l**2 - 4*l**4 - 8*l - 4*l**3 - w - 9*l = 0. What is l?
-2, -1, 1
Suppose -23*w = 4*w - 95*w. Let u(s) be the first derivative of -2/7*s**2 + 5 + 1/14*s**4 + w*s - 2/21*s**3. Factor u(f).
2*f*(f - 2)*(f + 1)/7
Let s(f) be the first derivative of -f**5/180 - 17*f**2 - 38. Let w(n) be the second derivative of s(n). Determine m so that w(m) = 0.
0
Let l = -5067658/13 - -389820. Factor -50/13*y + l*y**3 - 2 - 22/13*y**2.
2*(y - 13)*(y + 1)**2/13
Let p(d) = -2664*d**3 - 2*d**2 - 86*d - 86. Let u be p(-1). Let f(q) be the second derivative of 0 - 1/5*q**5 + 32*q - 242*q**3 - 11*q**4 - u*q**2. Factor f(g).
-4*(g + 11)**3
Let r(j) = j**3 - 6*j**2 + 7*j - 15. Let f be r(5). Let x = 35 - f. Factor -x*k**3 + 10*k**4 + 160 - 27*k - 80*k**2 + 5*k**5 + 107*k + 0*k**5.
5*(k - 2)**2*(k + 2)**3
Let k(m) = 56*m**2 + 56*m. Suppose 2*g + 24 = -2*v - 3*g, -5*v - 4*g = 94. Let o(c) = -c**3 + 280*c**2 + 281*c. Let w(a) = v*k(a) + 4*o(a). Factor w(n).
-4*n*(n + 1)*(n + 27)
Let h(r) be the third derivative of -r**7/840 - 53*r**6/120 - 2809*r**5/40 + 107*r**4/24 + 17*r**2 + 1. Let f(o) be the second derivative of h(o). Factor f(n).
-3*(n + 53)**2
Let s = 5482/6435 - -18/143. Let l(t) be the second derivative of 0 - 20*t - 121/90*t**4 - s*t**3 - 4/15*t**2. Factor l(x).
-2*(11*x + 2)**2/15
Let c(v) be the first derivative of -5*v**3/9 - 851*v**2/6 - 170*v/3 + 1742. Determine j so that c(j) = 0.
-170, -1/5
Let a = 108889/12 + -9074. Let y(l) be the first derivative of l**2 - 10 + 5/9*l**3 + a*l**4 + 0*l. Factor y(m).
m*(m + 2)*(m + 3)/3
Suppose 2*v - 1 = -r, -4*v - 7 = 18*r - 19*r. Let x(c) be the first derivative of -29 + 0*c - 27/10*c**2 + 1/5*c**r. Factor x(u).
3*u*(u - 9)/5
Let s = -1162 - -1172. Suppose -g - 2*m = -4, -3*g = -0*g + 4*m - s. Factor 2/3*c**g - 4/3*c + 2/3.
2*(c - 1)**2/3
Let f be 8 - 69/(66/110*15). Solve -f*b**2 + 14/3*b - 13/3 = 0.
1, 13
Suppose 224*p - 4174 + 3726 = 0. Determine k, given that 1/3*k**4 + 2*k - 5/3*k**p + 0 - 2/3*k**3 = 0.
-2, 0, 1, 3
Let m be (-1)/2 + 0 - 15/(-30). What is z in 2/9*z + m + 10/3*z**3 + 14/9*z**2 + 8/9*z**5 + 26/9*z**4 = 0?
-1, -1/4, 0
Let a = -20246 + 61310/3. Let m = a - 1714/9. Find u such that 2/9*u - m*u**2 + 4/3 = 0.
-2, 3
Let t(z) be the second derivative of -z**5/60 - 191*z**4/2 - 218886*z**3 - 250843356*z**2 + 22*z - 29. Factor t(u).
-(u + 1146)**3/3
Suppose 6633*x + 12422*x - 5050 - 25*x**2 + 6200*x = 0. What is x?
1/5, 1010
Let d(j) = -460*j + 2300. Let v be d(5). Let k(b) be the second derivative of 2/3*b**4 - 1/10*b**5 + 6*b + v*b**2 + 0 + 1/3*b**3 - 4/15*b**6. Factor k(h).
-2*h*(h - 1)*(h + 1)*(4*h + 1)
Suppose 4*y - 11*y = -30*y. Let b(q) be the first derivative of 3/32*q**4 + y*q - 15 + 1/4*q**3 + 3/16*q**2. Factor b(f).
3*f*(f + 1)**2/8
Let k(x) = -5*x - 2. Let r be k(-1). Find c, given that -11*c**4 + 15*c**r - 9 + 15 - 17*c + 8*c**5 + 5*c**2 - 6*c**5 = 0.
-1, 1/2, 1, 2, 3
Let u(w) be the second derivative of w**6/1260 - 2*w**5/105 + 4*w**4/21 + 47*w**3/3 - 2*w - 38. Let z(b) be the second derivative of u(b). Factor z(i).
2*(i - 4)**2/7
Let t(s) be the first derivative of s**5/12 - 5*s**4/8 - 10*s**3/3 - s**2 + 8*s + 32. Let b(l) be the second derivative of t(l). Solve b(w) = 0 for w.
-1, 4
Let o be 3108/888*75/7. Find g, given that -3/8*g**3 - o*g + 0 + 15/2*g**2 = 0.
0, 10
Determine y so that 2464*y - 117*y**2 + 112*y**2 + 217*y**2 + 4*y**3 - 9408 = 0.
-28, 3
What is y in 23/9 + 5*y - 2/9*y**2 = 0?
-1/2, 23
Let t(l) = 28*l + 2. Let k be t(0). Solve -58*y**3 - 960*y + 53*y**3 + 23*y**k - 40*y**2 - 2560 + y**2 - 104*y**2 = 0.
-8
Find r, given that 45*r**3 - 378 - 3*r**4 - 11988*r**2 + 5916*r**2 + 5841*r**2 + 30*r + 465*r = 0.
2, 3, 7
Factor -2/3*m**3 - 200/3 - 58/3*m**2 - 208/3*m.
-2*(m + 2)**2*(m + 25)/3
Let a(w) be the third derivative of w**6/120 - 91*w**5/60 - 185*w**4/24 - 31*w**3/2 - 238*w**2. Find g such that a(g) = 0.
-1, 93
Let p(i) be the second derivative of i**4/48 - 47*i**3/12 - 291*i**2/8 - 3371*i. Determine b, given that p(b) = 0.
-3, 97
Factor -8/5*t - 1/5*t**2 + 13.
-(t - 5)*(t + 13)/5
Let c(b) be the second derivative of 2*b**7/21 + 52*b**6/15 + 166*b**5/5 + 140*b**4 + 294*b**3 + 324*b**2 + 3*b - 8. Find q such that c(q) = 0.
-18, -3, -1
Suppose 60*d + 200654 = 355898 + 289490 + 213826. Factor d*o - 76832/9 + 2464/9*o**3 - 24304/9*o**2 - 38/3*o**4 + 2/9*o**5.
2*(o - 14)**4*(o - 1)/9
Suppose -5*i + 180*p + 22 = 177*p, 5*p + 18 = -i. Let 24*k - 7/3*k**i - 20/3 = 0. Calculate k.
2/7, 10
Let s be (-6 - 432/24) + 27. Let b(t) be the second derivative of 1/16*t**4 - 1/48*t**s - 1/84*t**7 + 1/20*t**6 + 0 + 35*t + 0*t**2 - 13/160*t**5. Factor b(m).
-m*(m - 1)**2*(2*m - 1)**2/8
Solve 22038 + 669 + 134975*v**2 + 522*v - 134972*v**2 = 0 for v.
-87
Let k = 86281 - 86277. Suppose 2/11*r**3 + 2/11*r**k - 30/11*r**2 + 46/11*r - 20/11 = 0. Calculate r.
-5, 1, 2
Suppose -p + 22 - 23 = 0. Let t(g) = 25*g**4 + 30*g**3 + 25*g**2 + 20*g. Let x(z) = -z**4 - z**3 - z**2 - z. Let w(j) = p*t(j) - 20*x(j). Factor w(s).
-5*s**2*(s + 1)**2
Let x(o) = -24*o**2 - 59*o - 288. Let d(s) = 3*s + 26. Let v be d(-5). Let u(y) = -13*y**2 - 30*y - 144. Let m(n) = v*u(n) - 6*x(n). Factor m(w).
(w + 12)**2
Suppose -991/4 + 1/4*j**2 - 495/2*j = 0. What is j?
-1, 991
Let l be 3/5 + 153/(-5). Let r = l + 57. Factor -16 - 5 - 3*q + r*q - 3*q**2.
-3*(q - 7)*(q - 1)
Let n(w) be the second derivative of 2/15*w**6 - 4/3*w**3 + 2 + 18*w + 0*w**5 + 0*w**2 - w**4. Determine x so that n(x) = 0.
-1, 0, 2
Suppose -5*q - 55 + 30 = 0. Let d be (-4 - (-2 - 9)) + q. What is r in 0 - 1/2*r**d + 0*r = 0?
0
Suppose -2679*u + 2823*u = 288. What is y in 288/11*y**u - 194/11*y**3 + 36/11*y**4 - 2/11*y**5 + 0 - 128/11*y = 0?
0, 1, 8
Let z = 781 - 791. Let r be (3/z)/(6/(-16)). Factor -r*p - 2/5*p**2 + 6/5.
-2*(p - 1)*(p + 3)/5
Factor -142 + 8*z - 20*z - 2*z**2 - 24*z + 12.
-2*(z + 5)*(z + 13)
Determine y, given that -421*y**2 + 4345*y**2 + 364*y**4 - 534*y - 666*y + 3372*y**3 - 12*y**5 + 167*y**4 = 0.
-4, -2, 0, 1/4, 50
Let x = -391 + 395. Suppose 190*l**3 + 2*l**5 + 190*l**3 - 366*l**3 + 4*l**2 - 4*l**5 + x*l**4 - 4*l**5 = 0. Calculate l.
-1, -1/3, 0, 2
Let t(r) be the third derivative of -r**5/36 + 95*r**4/36 - 175*r**3/6 + 2*r**2 + 1132. Factor t(j).
-5*(j - 35)*(j - 3)/3
Let 2775368/7 + 4712/7*p + 2/7*p**2 = 0. What is p?
-1178
Let d = 503329 + -503329. Suppose 0*u + d + 2/5*u**3 + 24/5*u