 -f*v**2 + 5/2 - 15/4*v**3 + 5/4*v = 0. What is v?
-1, 2/3
Let -256/3 + 64/3*u - 4/3*u**2 = 0. Calculate u.
8
Let x(g) = 7*g**5 + 59*g**4 - 890*g**3 - 3066*g**2 - 3193*g - 1093. Let h(n) = 2*n**5 - n**4 + n**3 + n**2 + 2*n - 1. Let k(w) = 12*h(w) - 3*x(w). Factor k(p).
3*(p - 33)**2*(p + 1)**3
Let l = -370 + -285. Let u = -652 - l. Factor 0 + 5/2*p**2 + 1/2*p**4 - p - 2*p**u.
p*(p - 2)*(p - 1)**2/2
Let m(k) = -4*k + 31*k**2 + 0*k**2 + 6 + 20*k**2. Let s(j) = 715*j**2 - 55*j + 85. Let l be 66/(-12) - (-2)/(-4). Let v(a) = l*s(a) + 85*m(a). Factor v(g).
5*g*(9*g - 2)
Let k(j) = -3*j**5 + 16*j**4 - 18*j**3 - 62*j**2 + 115*j + 154. Let d(o) = o**5 - 3*o**4 - o**2 - 2. Let p(c) = -2*d(c) - k(c). Suppose p(x) = 0. What is x?
-2, -1, 3, 5
Suppose -6*o - 16 = -2*o. Let c be 1/(4 - 27/6) - o. Let 341 - 7*k + k**2 - 347 - c*k**2 = 0. What is k?
-6, -1
Let s be (9/(-210)*(-10)/(-4))/(72/(-42)). Let k(j) be the second derivative of 3/8*j**3 - 10*j + 15/4*j**2 - s*j**4 + 0. Factor k(c).
-3*(c - 5)*(c + 2)/4
Let b be (-6225)/(-75) + 2568/(-40). Factor 3/5*h**2 - 281/5*h - b.
(h - 94)*(3*h + 1)/5
Determine o, given that 0*o**4 - 83 - 49*o**3 + 110*o**2 - 120*o + 5*o**4 + 9*o**3 - 58 + 186 = 0.
1, 3
Let m(b) be the first derivative of -49*b**5/5 - 1043*b**4/2 - 6913*b**3/3 - 1722*b**2 - 468*b + 564. Find j, given that m(j) = 0.
-39, -3, -2/7
Factor 38/7*r**2 - 148/7*r - 2/7*r**3 + 16.
-2*(r - 14)*(r - 4)*(r - 1)/7
Solve 2/15*r**2 + 44/5 + 34/15*r = 0 for r.
-11, -6
Let y(j) be the first derivative of 11*j**6/270 - j**5/15 - 59*j**3/3 - 14. Let v(z) be the third derivative of y(z). Solve v(s) = 0.
0, 6/11
Let l(z) be the third derivative of -z**7/42 - 19*z**6/24 - 20*z**5/3 + 125*z**4/6 + 725*z**2. Solve l(u) = 0 for u.
-10, 0, 1
Let z(u) = -2*u**2 + 834*u - 2648. Let b(r) = 4*r**2 - 1640*r + 5294. Let g(c) = -2*b(c) - 5*z(c). Factor g(o).
2*(o - 442)*(o - 3)
Suppose 9*f = -23*f - 27*f - 12*f. Let z(n) be the second derivative of -n + 1/24*n**4 - 1/6*n**3 + 1/40*n**5 + f + 0*n**2. Suppose z(y) = 0. What is y?
-2, 0, 1
Let a(g) be the third derivative of 0 + 5/6*g**4 - 16/3*g**3 - 1/30*g**5 - 251*g**2 + 0*g. Factor a(f).
-2*(f - 8)*(f - 2)
Let v(o) be the first derivative of -59/4*o**4 + 35 + 0*o - 4*o**5 + 3/2*o**6 + 4*o**2 - 22/3*o**3. Factor v(w).
w*(w - 4)*(w + 1)**2*(9*w - 2)
Let j = 17/2 - 8. Let m = -656507 + 656510. Factor 1/10*h**m + 1/5 + 2/5*h**2 + j*h.
(h + 1)**2*(h + 2)/10
Suppose -l**2 - 1/6*l**3 + 7/6*l + 0 = 0. What is l?
-7, 0, 1
Let o(i) be the first derivative of -i**4/8 + 23*i**3/6 + 19*i**2 + 26*i - 3696. Solve o(f) = 0.
-2, -1, 26
Let h be (7 - 350/56)/(-4 + (-136)/(-32)). Factor -32/5*b**2 + 0 + 4*b**h - 4/5*b**4 + 16/5*b.
-4*b*(b - 2)**2*(b - 1)/5
Let p(m) be the third derivative of -m**7/1470 + 221*m**6/420 - 16427*m**5/140 + 12155*m**4/21 - 24200*m**3/21 - 4*m**2 - 34*m - 1. Suppose p(t) = 0. What is t?
1, 220
Let g(h) be the first derivative of h**6/15 + 2*h**5/5 + 3*h**4/4 + 2*h**3/3 - 108*h**2 + 92. Let f(j) be the second derivative of g(j). Solve f(w) = 0 for w.
-2, -1/2
Let p(c) = 434*c + 2607. Let a be p(-6). Let t(f) be the second derivative of 5/9*f**a + 0 - 1/9*f**4 + 13*f - 8/9*f**2 - 1/90*f**5. Factor t(q).
-2*(q - 1)**2*(q + 8)/9
Factor -1617/4 - 3/4*v**3 - 75/4*v**2 - 609/4*v.
-3*(v + 7)**2*(v + 11)/4
Let a(l) = l**2 + 4*l - 43. Let x be (6 - 21)*(-3)/9*1. Let d be a(x). Find r, given that -4/7 - 20/7*r**d + 6/7*r**3 + 18/7*r = 0.
1/3, 1, 2
Let d(w) be the first derivative of -w**5/160 + 17*w**4/192 + w**3/8 + 11*w**2 + 2*w - 52. Let m(g) be the second derivative of d(g). Factor m(k).
-(k - 6)*(3*k + 1)/8
Let w be 14/63 + (-13)/((-4680)/640). Let l = 131/605 + -2/121. Solve l*y**w - 1/5*y - 2/5 = 0.
-1, 2
Let n = -39 + 130. Let y be 26/n - 24/(-14). Factor v**4 + 18*v**3 + 14*v - y*v + 2*v**4 + 27*v**2.
3*v*(v + 1)**2*(v + 4)
Let p be (-48)/(-26) + (-20)/(-130). Suppose -2*n + 4*l + 26 = 0, -64 = -4*n - 0*n + p*l. Find s such that -38*s**2 + n*s**2 - 6*s - 6*s - 8 + 17*s**2 = 0.
-2, -1
Let t(r) be the third derivative of -r**6/180 + 13*r**5/60 - r**4 + 49*r**3/6 - 14*r**2. Let b(n) be the first derivative of t(n). Suppose b(s) = 0. What is s?
1, 12
Let t(b) be the first derivative of 2*b**3/33 - 7*b**2/11 - 120*b/11 + 698. Factor t(k).
2*(k - 12)*(k + 5)/11
Let y be 13/3*-3*1. Let d(b) = -b**2 - 14*b - 13. Let o be d(y). Factor -1/2*m**2 + o + m.
-m*(m - 2)/2
Suppose 0 = 1513*m - 725*m - 704*m - 1512. Suppose m*t**2 + 2/5*t**4 - 24/5*t**3 + 0 - 20*t = 0. Calculate t.
0, 2, 5
Suppose -5*o - 292 = 2*f, 13*o + 3*f = 12*o - 48. Let c be -2 + o/(-27) + (-375)/(-135). Determine z, given that 12/13*z**c - 4/13 - 2*z - 10/13*z**2 = 0.
-1, -1/6, 2
Let p(k) be the first derivative of 1/6*k**3 + 1/100*k**5 + 1/5*k**2 + 2 + k + 1/15*k**4. Let y(j) be the first derivative of p(j). What is v in y(v) = 0?
-2, -1
Suppose 2*a - 181 = -3*d, 0 = -4*a + 1 - 5. Factor 87*q**4 + 11 + 24*q + d*q**4 + 268*q**2 + 5 + 28*q**5 + 88*q + 292*q**3.
4*(q + 1)**3*(q + 2)*(7*q + 2)
Let a(h) = 14*h**3 + 14*h - 8. Let l(t) = 18*t**3 - t**2 + 16*t - 10. Let b(v) = 10*a(v) - 8*l(v). Find z, given that b(z) = 0.
-1, 0, 3
Suppose 4*w - 41 = 4*b + w, 2*b + 1 = -5*w. Let o be (b/(-10))/((-7)/(-5) + -1). Determine z, given that 10*z**2 - 4 + 2*z**4 - 6*z**4 - 2*z**o = 0.
-1, 1
Suppose 62 + 22 = 7*i. Factor -2 - 131*a - 5*a**2 + i + 136*a.
-5*(a - 2)*(a + 1)
Let h(b) be the second derivative of -b**4/66 + 17*b**3/3 - 186*b**2/11 - 64*b + 9. What is i in h(i) = 0?
1, 186
Let s(b) be the second derivative of -1/25*b**5 + 274*b - 32/5*b**2 + 1/75*b**6 + 0 + 8/3*b**3 - 2/5*b**4. What is t in s(t) = 0?
-4, 2
Solve -6700*f + f**2 + 5742*f - 2*f**2 = 0.
-958, 0
Let v(o) = 4*o**4 - 4*o**3 + 15*o**2 + 23*o - 7. Let k(q) = 3*q**4 - 3*q**3 + 15*q**2 + 21*q - 6. Let i(m) = -7*k(m) + 6*v(m). Let i(u) = 0. Calculate u.
-1, 0, 3
Let b = -14095490/781 + 18048. Let n = 2329/5467 - b. Factor 0 + 6/7*d - 9/7*d**2 + n*d**3.
3*d*(d - 2)*(d - 1)/7
Let v(c) be the third derivative of 0 - 7/15*c**6 + 49/15*c**5 + 2/105*c**7 + 0*c**3 + 0*c + 0*c**4 - 2*c**2. Factor v(b).
4*b**2*(b - 7)**2
Suppose 0*k + 2*k = 6. Let y(w) = w**2 - 17*w + 32. Let v be y(15). Determine u so that -2*u + 1 - v*u**2 + 6*u**2 - k*u**2 = 0.
1
Let o = -187 + 191. Factor -64*q + 16*q**2 + 40*q**3 - 31*q**2 - 57*q**2 + 6*q**o.
2*q*(q - 2)*(q + 8)*(3*q + 2)
Let h(m) be the first derivative of 7/13*m**2 + 10/39*m**3 - 12/13*m + 93 - 7/26*m**4 + 2/65*m**5. Solve h(o) = 0 for o.
-1, 1, 6
Let j be ((-4)/(-2) - 1)*-3. Let a = j + 19. Factor 8 + 5*y**3 + 4 + a*y**4 - 12*y + y**3 - 13*y**4 - 9*y**2.
3*(y - 1)**2*(y + 2)**2
Let l be ((-15)/(-12))/((-21)/(2016/(-40))). Let 4/7*n**2 + 6/7*n + 0 - 2/7*n**l = 0. What is n?
-1, 0, 3
Let z(u) be the second derivative of -u**5/40 - 7*u**4/3 - 55*u**3 + 900*u**2 - 4*u - 6. Factor z(h).
-(h - 4)*(h + 30)**2/2
Let p(b) be the second derivative of -1/3*b**6 + 64*b - 8/3*b**3 - 5*b**4 + 0 - 27/10*b**5 + 0*b**2. Factor p(y).
-2*y*(y + 1)*(y + 4)*(5*y + 2)
Suppose -2/17*m**5 - 166/17*m**3 - 48/17*m**4 + 160/17 - 112/17*m**2 + 168/17*m = 0. Calculate m.
-20, -2, -1, 1
Let y(l) be the third derivative of 0*l + 0 - 3/20*l**6 + 23/20*l**5 - 15/4*l**4 + 1/140*l**7 + 25/4*l**3 - 51*l**2. Find w, given that y(w) = 0.
1, 5
Suppose 570 = -19*w + 24*w. Suppose -4*m + 5*j + 192 = 0, 5*j - 3*j = -2*m + w. Factor m*k + 0*k**4 - 3*k**4 - 65*k + 9*k**3.
-3*k*(k - 2)**2*(k + 1)
Factor -464/15*q + 154/5 + 2/15*q**2.
2*(q - 231)*(q - 1)/15
Let n = 305 - 405. Let k be ((65/n)/13)/((-3)/36). Determine h so that 0 + 0*h + 9/5*h**4 + 0*h**2 + k*h**5 + 6/5*h**3 = 0.
-2, -1, 0
Let c(w) = 10*w**4 - 30*w**3 - 28*w**2 + 58*w - 2. Let h(k) = 21*k**4 - 62*k**3 - 51*k**2 + 117*k - 5. Let v(l) = -5*c(l) + 2*h(l). Factor v(i).
-2*i*(i - 4)*(i - 1)*(4*i + 7)
Let i(p) be the second derivative of -p**4/48 + 31*p**3/12 - 54*p**2 + 1596*p + 1. Determine u, given that i(u) = 0.
8, 54
Factor 74*r - 187*r + 422*r + 3*r**3 - 312*r**2.
3*r*(r - 103)*(r - 1)
Factor -68*t**2 + 6*t**2 - 5*t**3 - 36 - t**5 + 97*t - 11*t**3 + 20*t**4 - 2.
-(t - 19)*(t - 1)**3*(t + 2)
Let p = -730 + 273. Let i = 460 + p. Factor -14*q**i - 8/7*q + 0 + 8*q**2.
-2*q*(7*q - 2)**2/7
Let -72/5 + 48/5*h - 2/5*h**2 - 2/5*h**3 = 0. What is h?
-6, 2, 3
Let q(