 m be (14/6)/((-182)/(-234)). Factor -5/8*h - 1/2*h**2 - 1/4 - 1/8*h**m.
-(h + 1)**2*(h + 2)/8
Factor -17 - 31*p**2 - 24*p - 33*p**2 - 23 + 62*p**2.
-2*(p + 2)*(p + 10)
Find l such that -128/9 + 256/9*l + 10/9*l**4 - 152/9*l**2 + 16/9*l**3 - 2/9*l**5 = 0.
-4, 1, 2, 4
Suppose -173 - 463 = -2*m. Let p = m + -3494/11. Solve -p - 2*v - 18/11*v**2 = 0 for v.
-1, -2/9
Suppose 5*l + 29 = 2*a, 25*l + 17 = -4*a + 20*l. Factor 2/9*v**a + 0*v + 0 + 2/9*v**3.
2*v**2*(v + 1)/9
Let u(o) be the third derivative of 14*o**2 - 1/6*o**4 + 0*o**3 + 1/15*o**6 + 0*o - 1/84*o**8 + 0*o**5 + 0*o**7 + 0. Factor u(d).
-4*d*(d - 1)**2*(d + 1)**2
Determine d so that 1/2*d**3 + 0 + 1/4*d**4 - 1/4*d**2 - 1/2*d = 0.
-2, -1, 0, 1
Let z(c) be the first derivative of 2*c**3/15 + 92*c**2/5 + 182*c/5 + 43. Determine s so that z(s) = 0.
-91, -1
Find a, given that 9 - 5*a + 1/4*a**2 = 0.
2, 18
Let v(a) be the third derivative of -a**6/120 + a**5/5 + 7*a**4/12 - 13*a**3/6 + 22*a**2. Let i be v(13). Find d, given that 0*d + 3/2*d**2 + i + 3/2*d**3 = 0.
-1, 0
Let j = 391/1144 + -3/88. Factor 2/13*f**4 + 0 + 0*f - j*f**3 + 2/13*f**2.
2*f**2*(f - 1)**2/13
Factor 35*a**2 - 57*a**2 + 4*a + 28*a**2 - 4*a**3.
-2*a*(a - 2)*(2*a + 1)
Let f be (-6)/(-7) - (-168)/147. Let l(j) be the first derivative of -1/6*j**6 + j**4 - f*j + 0*j**5 + 6 - 3/2*j**2 + 2/3*j**3. Solve l(m) = 0 for m.
-1, 1, 2
Let y = -1087/21 - -430/7. Let h = y - 9. Find o, given that -2/3 + 1/3*o - 1/3*o**3 + h*o**2 = 0.
-1, 1, 2
Let s(k) be the first derivative of -2*k**5/5 + 30*k**4 - 416*k**3 + 2368*k**2 - 6144*k - 839. Factor s(c).
-2*(c - 48)*(c - 4)**3
Let r(t) = -t - 15. Let m be r(-21). Suppose -4*d - m = -2*f, -4*d - 4*f + 19 - 7 = 0. Determine h so that 2*h**2 + 10*h**3 + 0 + d*h + 25/2*h**4 = 0.
-2/5, 0
Let q(v) be the third derivative of -1/60*v**5 + 5*v**2 + 0 - 1/6*v**3 + 0*v - 1/12*v**4. Suppose q(k) = 0. Calculate k.
-1
Let b(k) be the third derivative of -k**5/30 + 5*k**4/6 + 11*k**3/3 + 230*k**2. Factor b(s).
-2*(s - 11)*(s + 1)
Solve -8*k**3 - 14*k**2 + 20*k**2 + 22*k**2 + 12*k**3 = 0.
-7, 0
Let v(t) = -10*t**2 + 4*t + 2. Let x be v(0). Factor 3 - 21/8*q**3 + 3/8*q**4 - 15/2*q + 27/4*q**x.
3*(q - 2)**3*(q - 1)/8
Let q(l) = 5*l**2 - 1025*l + 1024. Let c(j) = -10*j**2 + 2050*j - 2050. Let y(m) = -2*c(m) - 5*q(m). Factor y(a).
-5*(a - 204)*(a - 1)
Let t be (-4 - -2)/(3/((-36)/8)). Find k, given that 3 - k - k - 15 + t*k**2 - k**2 = 0.
-2, 3
Let r(s) be the second derivative of 0*s**3 + 1/28*s**4 + 31*s + 3/140*s**5 + 0*s**2 + 0. Factor r(h).
3*h**2*(h + 1)/7
Let c(z) be the second derivative of z**7/70 - z**6/20 + z**5/20 + 9*z**2 - 11*z. Let o(j) be the first derivative of c(j). Find u, given that o(u) = 0.
0, 1
Let o be (15/65)/(15/135) - (1 + -2). Determine i, given that 18/13*i**2 + 8/13 + o*i = 0.
-2, -2/9
Let w(t) be the third derivative of 11*t**2 + 0 + 0*t**4 + 2/1155*t**7 + 1/660*t**6 + 0*t**3 + 0*t**5 + 0*t + 1/1848*t**8. Factor w(x).
2*x**3*(x + 1)**2/11
Let g be 32/(-48)*(3 - (-150)/(-32)). Determine l, given that -3/4*l**4 + 0 + 3/2*l - g*l**3 + 3/2*l**2 + 3/8*l**5 = 0.
-1, 0, 2
Let a(p) be the third derivative of 0 + 2*p - 2*p**2 + 11/96*p**4 + 1/8*p**3 + 1/30*p**5. Determine q, given that a(q) = 0.
-1, -3/8
Let g(o) be the third derivative of -1/70*o**7 - 3/40*o**6 + 0 + 1/20*o**5 + 0*o**3 + 1/4*o**4 - 41*o**2 + 1/112*o**8 + 0*o. Solve g(n) = 0.
-1, 0, 1, 2
Let p(v) be the second derivative of -7*v + 0*v**3 + 1/40*v**5 + 0*v**2 + 1/168*v**7 + 0 + 0*v**4 - 1/40*v**6. Suppose p(w) = 0. Calculate w.
0, 1, 2
Let p(m) be the third derivative of 7*m**5/50 - 69*m**4/10 - 8*m**3 + m**2 - 23*m. Factor p(c).
6*(c - 20)*(7*c + 2)/5
Let o be ((-9)/30)/(680/(-100) - -5). Suppose 4/3 + d + o*d**2 = 0. Calculate d.
-4, -2
Let s(f) be the first derivative of -2*f**5/5 - f**4/2 + 10*f**3 - 23*f**2 + 20*f - 481. Factor s(o).
-2*(o - 2)*(o - 1)**2*(o + 5)
Let j(f) be the third derivative of -f**5/270 + f**4/54 + 18*f**2. Solve j(n) = 0 for n.
0, 2
Let w(v) be the third derivative of v**6/6 - 239*v**5/12 + 1475*v**4/2 + 750*v**3 + 7*v**2 - 8*v. Factor w(k).
5*(k - 30)**2*(4*k + 1)
Let m(o) be the first derivative of -o**4/18 + 5*o**3/9 + 3*o - 6. Let b(s) be the first derivative of m(s). What is w in b(w) = 0?
0, 5
Suppose 135 = 5*i + 10. Suppose 2*g - 3*g + 15 = 4*y, 5*y - 5*g = i. Factor 2/7*u**y - 4/7*u + 4/7*u**3 + 0*u**2 - 2/7.
2*(u - 1)*(u + 1)**3/7
Let u(y) be the second derivative of -1/6*y**3 - 1/24*y**4 + y + 0*y**2 + 0. Determine r, given that u(r) = 0.
-2, 0
Let a(y) be the first derivative of -y**5/110 - y**4/66 + 56*y - 1. Let z(v) be the first derivative of a(v). Determine k so that z(k) = 0.
-1, 0
Let z(y) = -y**2 + 3*y - 40. Let q(b) = -73 + 154 - 76. Let o(k) = 40*q(k) + 5*z(k). Factor o(l).
-5*l*(l - 3)
Let b = 364 + -215. Let g = b + -1637/11. Determine l, given that -2/11*l**2 + 2/11 - g*l**3 + 2/11*l = 0.
-1, 1
Let s(o) = 35*o**4 - 173*o**3 + 153*o**2 + 106*o + 5. Let t(y) = -52*y**4 + 259*y**3 - 231*y**2 - 158*y - 7. Let h(c) = -7*s(c) - 5*t(c). Factor h(f).
3*f*(f - 4)*(f - 2)*(5*f + 2)
Let b(n) be the third derivative of 3*n**8/140 + 3*n**7/35 + 7*n**6/75 - n**5/25 - n**4/10 + n**3/15 - 181*n**2 - n. Let b(t) = 0. Calculate t.
-1, 1/6, 1/3
Let a(f) be the second derivative of 10*f**7/231 + 11*f**6/15 - 145*f**4/66 - 10*f**3/33 + 24*f**2/11 - 4*f - 15. Solve a(z) = 0.
-12, -1, -1/2, 2/5, 1
Let w(j) be the third derivative of -1/2*j**3 - 5/32*j**4 + j**2 + 0*j + 0 - 1/80*j**5. Factor w(t).
-3*(t + 1)*(t + 4)/4
Let z(c) = -8*c**3 - 92*c**2 - 170*c - 91. Let n(f) = 9*f**3 + 93*f**2 + 171*f + 93. Let i(s) = 5*n(s) + 6*z(s). Factor i(v).
-3*(v + 1)**2*(v + 27)
Suppose 4*a - 65 = 3*p - 230, 3 = -3*p. Let s be ((2/6)/(-1))/(49/a). Factor s*q**3 - 4/7*q**2 + 0 + 0*q.
2*q**2*(q - 2)/7
Suppose 0 = -5*w - 0*w + 20. Let o(a) = a**2 - 2*a - 4. Let t be o(w). Factor -8/13*n**3 + 0 + 2/13*n**2 + 0*n + 6/13*n**t.
2*n**2*(n - 1)*(3*n - 1)/13
Let g(d) = -d - 1. Let t(q) = -q**2 + 17*q - 26. Let o(w) = -4*g(w) - t(w). Let h be o(10). Factor 0 + h*k**3 - 3/2*k - 3*k**4 + 3/2*k**5 + 3*k**2.
3*k*(k - 1)**3*(k + 1)/2
Let w be ((-2)/14)/1 - (-1248)/672. Factor -8/7 + 4/7*i + w*i**2.
4*(i + 1)*(3*i - 2)/7
Let h(n) be the second derivative of 2*n**7/189 + n**6/15 + 13*n**5/90 + 5*n**4/54 - n**3/9 - 2*n**2/9 + 27*n. Find q, given that h(q) = 0.
-2, -1, 1/2
Let o(w) be the second derivative of w**7/21 - 7*w**6/45 + w**5/10 + w**4/6 - 2*w**3/9 + 81*w. Find h such that o(h) = 0.
-2/3, 0, 1
Let s(k) be the second derivative of -k**6/375 - 2*k**5/125 - 2*k**4/75 + 4*k - 3. Let s(m) = 0. Calculate m.
-2, 0
Let t = -35 - 59. Let a be (4 - 1) + 4 + t/14. Factor 2/7*h**2 + 0*h + 0 + 0*h**3 - a*h**4.
-2*h**2*(h - 1)*(h + 1)/7
Let k(f) be the third derivative of f**8/84 - 2*f**7/7 - 11*f**6/10 - 17*f**5/15 - 61*f**2. Let k(c) = 0. What is c?
-1, 0, 17
Let j(b) = 26*b**3 - 240*b**2 + 830*b - 616. Let s(h) = 5*h**3 - 48*h**2 + 166*h - 123. Let f(v) = -3*j(v) + 16*s(v). Find w, given that f(w) = 0.
1, 3, 20
Suppose 4*n = q + 55 + 137, -3*q + 257 = 5*n. Let b = 51 - n. Factor 4/3 - 2/3*c - 2/3*c**b.
-2*(c - 1)*(c + 2)/3
Let r(y) = 141*y - 138*y - 7 + 2. Let k be r(3). Solve 10/11*l**2 + 4/11*l + 2/11*l**k + 8/11*l**3 + 0 = 0 for l.
-2, -1, 0
Suppose 3/4*m**3 + 9/4*m + 0 + 3*m**2 = 0. Calculate m.
-3, -1, 0
Let l(n) = -2*n - 22. Let r be l(-24). Let 26 - 39 + 8*k + 21 + 10*k**3 - r*k**2 = 0. Calculate k.
-2/5, 1, 2
Let v(f) = f**2 + f. Let u(n) = -3*n**2 - 11*n + 1. Let c(s) = s**2 + 1. Let q(i) = 5*c(i) - u(i). Let g(t) = -4*q(t) + 28*v(t). Suppose g(r) = 0. Calculate r.
-2
Let k = 304/17 + -895/51. Let 4/3*n + 1 + k*n**2 = 0. What is n?
-3, -1
Suppose 5*g = -11 + 41. Determine b, given that 4*b**2 - 9*b - g*b**4 + b + 12*b - 2*b**2 - 8*b**3 = 0.
-1, 0, 2/3
Let l(s) be the first derivative of s**5/120 + 5*s**4/48 + s**3/2 - 31*s**2/2 - 33. Let y(u) be the second derivative of l(u). Factor y(t).
(t + 2)*(t + 3)/2
Let m(t) be the first derivative of 4*t**3/15 + 22*t**2/5 + 8*t + 163. Factor m(c).
4*(c + 1)*(c + 10)/5
Let q(s) be the second derivative of -s**6/270 + 22*s**5/45 - 70*s**4/3 + 400*s**3 + 3000*s**2 - 42*s. What is a in q(a) = 0?
-2, 30
Factor 5*u + 56*u**2 + 13*u**2 - 13*u + 50*u**4 - 220*u**3 + 13*u**2.
2*u*(u - 4)*(5