3/4*x**2 + 3/10*x**5 + x**3 + 1/20*x**6 + 0 + 3/4*x**4. What is k in i(k) = 0?
-1
Solve -1040 - 7*z**3 + 92*z**3 - 87*z**3 + 126*z**2 + 276*z = 0 for z.
-4, 2, 65
Let o(m) = -2*m**3 - 50*m**2 + 2*m + 54. Let n be o(-25). Factor 124*p - 965 + n*p**2 + 36*p + 2121 + 444.
4*(p + 20)**2
Suppose 153 - 183 = -6*d. Let t be (-30)/d - -13 - (-5 - -10). Factor -4/11 - 3/11*m**t + 7/11*m.
-(m - 1)*(3*m - 4)/11
Let g = 89 - 174. Let h = 98 + g. Factor -1 + h*k**2 + 14*k**2 - 21*k - 1 - 4.
3*(k - 1)*(9*k + 2)
Let b be 104/(-30) - (7*(-110)/70 + 7). Suppose -b*w**4 + 28/15*w**2 - 8/3*w + 2/15*w**5 + 2/15*w**3 + 16/15 = 0. What is w?
-2, 1, 2
Suppose 2*g - 149 = z - 142, 0 = 3*z + g - 14. Let q(m) be the third derivative of 5/4*m**4 + 0 + 1/12*m**5 + 3*m**2 + 0*m + 15/2*m**z. Factor q(d).
5*(d + 3)**2
Let s(g) be the second derivative of 0*g**3 - 15/2*g**2 + 13*g - 1/4*g**4 - 1/80*g**6 + 0 - 1/10*g**5. Let o(l) be the first derivative of s(l). Factor o(k).
-3*k*(k + 2)**2/2
Let t(h) be the third derivative of h**8/2184 - h**7/455 + h**6/260 - h**5/390 - 30*h**2 - 5*h. Factor t(n).
2*n**2*(n - 1)**3/13
Factor 4379*w**2 + 1667*w**2 - 2096*w**2 - 7809152 - w**3 - 3896672*w.
-(w - 1976)**2*(w + 2)
Suppose -103*z + 298*z = 101*z + 100*z. Find t, given that -6/7*t + z + 2/7*t**2 = 0.
0, 3
Let r(s) be the first derivative of s**6/180 + s**5/60 - 2*s**3/3 - 14*s**2 - 51. Let g(n) be the third derivative of r(n). Determine v, given that g(v) = 0.
-1, 0
Let h be (4/21)/((-1744)/(-436)). Let d(t) be the second derivative of 4 + h*t**4 - 3/35*t**5 + 2/35*t**6 - 2/147*t**7 + 0*t**2 - 6*t + 0*t**3. Factor d(f).
-4*f**2*(f - 1)**3/7
Let k = -541/1460 - -38/73. Let d(i) be the second derivative of -15*i + 0 - 1/4*i**4 + 1/2*i**3 + 3/2*i**2 - k*i**5. Factor d(y).
-3*(y - 1)*(y + 1)**2
Let u(m) = -2*m**2 - 30*m + 40. Let b be u(-17). Let o be 0/(21/(b/(-4))). Factor -2/3*v**3 + o + 1/3*v**2 - 1/3*v**4 + 2/3*v.
-v*(v - 1)*(v + 1)*(v + 2)/3
Suppose 0*g = 3*g - 18. Suppose 3*b + 12 = 0, -8*d - 5*b - 18 = -7*d. Factor -4*z**2 + 1 - 3*z + g*z**d - 5 + z.
2*(z - 2)*(z + 1)
Suppose -2*r + 11 = z, 5*r + 4*z = -0*r + 29. Let j = 6233 - 6229. Determine y so that 0*y**3 + 2/13*y + 0 - 4/13*y**j - 2/13*y**r + 4/13*y**2 = 0.
-1, 0, 1
Let n = 2187/2 - 52481/48. Let r(s) be the second derivative of 33*s + 0 + 1/80*s**5 - 2*s**2 + 1/3*s**3 + n*s**4. Factor r(p).
(p - 1)*(p + 4)**2/4
Let s(v) be the first derivative of v**3/4 - 73*v**2/8 - 19*v + 3314. Factor s(p).
(p + 1)*(3*p - 76)/4
Let f = -107632 - -107650. Factor f*x**2 - 162/5*x**3 + 64/5*x + 8/5.
-2*(x - 1)*(9*x + 2)**2/5
Let -516/7*y**2 - 225/7*y + 204/7*y**4 + 78*y**3 - 9/7*y**5 + 0 = 0. What is y?
-3, -1/3, 0, 1, 25
Let d = -11/393 + 295/1179. Let m(b) be the first derivative of 40/9*b**3 - 32/3*b + 7 + 1/3*b**4 + d*b**6 - 16/15*b**5 - 8/3*b**2. Find s such that m(s) = 0.
-1, 2
Suppose 0 = 23*q - 31*q + 48. Let v be 4/(-140)*-97 - q/(-14). Factor -v*j - 4/5*j**2 - 16/5.
-4*(j + 2)**2/5
Let v be -15 + (-5668)/(-377) - 424/(-1160). Suppose -360 - v*r**2 - 24*r = 0. What is r?
-30
Let u(m) be the first derivative of -m**4/38 - 748*m**3/57 - 34592*m**2/19 + 141376*m/19 - 1222. Let u(p) = 0. Calculate p.
-188, 2
Let s be (-94406)/(-39)*(-6)/(-20). Let z = s - 725. Let 2/5*u**2 + 0 + z*u = 0. What is u?
-3, 0
Let g(v) be the first derivative of -v**4/28 + 68*v**3/3 - 4046*v**2 + 10067. Factor g(r).
-r*(r - 238)**2/7
Let m(o) = -7*o**3 + 93*o**2 - 324*o - 434. Let l(k) = -15*k**3 + 185*k**2 - 650*k - 875. Let w(d) = 2*l(d) - 5*m(d). Factor w(h).
5*(h - 14)*(h - 6)*(h + 1)
Let l be -12 - (5 - 210/40 - (-1 - 561/(-44))). Factor -75/2*g - 3/4*g**2 + l.
-3*g*(g + 50)/4
Let i(g) = g**2 + g. Let u(a) = 16*a**2 + 14*a. Let h(n) = -2*n**2. Let v(m) = 2*h(m) + u(m). Let j(t) = 10*i(t) - v(t). Factor j(y).
-2*y*(y + 2)
Let w = 102 + -98. Suppose 9*p**4 + 33*p**2 - 9*p + 0*p - 6*p**5 + 12*p**w + 6*p**4 - 45*p**3 = 0. Calculate p.
0, 1, 3/2
Solve -65/4*f**3 - 50*f**2 + 0 + 60*f + 5/4*f**5 + 5*f**4 = 0 for f.
-4, 0, 1, 3
Let q be (150/(-4))/5*4/(-6). Let j(k) be the second derivative of -2/15*k**6 + 0*k**2 - 2/3*k**4 - 3/5*k**q + 0 + 21*k + 0*k**3. Factor j(x).
-4*x**2*(x + 1)*(x + 2)
Let q(v) be the second derivative of 5*v**4/48 + 413*v**3/12 + 165*v**2/8 - 25*v + 29. Solve q(m) = 0 for m.
-165, -1/5
Suppose 9*r - 19 + 1 = 0. What is c in -12 - 18*c**r - 18*c**2 + 33*c**2 - 15*c = 0?
-4, -1
Suppose 54 + 17 = -2*s + k, -k = 3*s + 114. Let i = s - -40. Suppose -5*v + 5*v - 19*v**2 + 3*v**2 - 36*v**4 + 48*v**i = 0. Calculate v.
0, 2/3
Suppose -3*k = -7*j + 84982 - 84827, 3*j = -4*k + 77. Factor 4/3*s**3 - 4/3*s + 16/3 - 16/3*s**k.
4*(s - 4)*(s - 1)*(s + 1)/3
Let j(b) = 3*b**2 + 6*b + 2. Let p(f) = 10*f**2 + 19*f + 5. Let a(q) = 7*j(q) - 2*p(q). Let u be a(0). Factor 5*r + 2*r + u*r**2 - r**2 + 11*r.
3*r*(r + 6)
Let h be ((-8)/(-10))/((-36)/(-90))*(-50 - -52). Let d(o) be the first derivative of 3/2*o**4 + 0*o**3 - 27 - h*o**2 - 2/5*o**5 + 0*o. Factor d(x).
-2*x*(x - 2)**2*(x + 1)
Let v(a) be the second derivative of -a**4/12 - 14*a**3 + 86*a**2 + 3297*a. Factor v(p).
-(p - 2)*(p + 86)
Let a(j) = 5*j**2 - 620*j + 611. Let z(x) = 2*x**2 - 2*x - 1. Let f(i) = a(i) - 4*z(i). Factor f(b).
-3*(b - 1)*(b + 205)
Let h be 2 + 7777/385 + -22. What is p in h*p**3 - 18/5*p - 3*p**2 + 32/5 = 0?
-2, 1, 16
Let q be 346/310 + 3/(-5). Let t = q - -151/248. Factor 3/8 + 3/4*m**2 - 3/8*m**5 - 3/4*m**3 + 9/8*m - t*m**4.
-3*(m - 1)*(m + 1)**4/8
Let v(z) be the first derivative of 28 + 2/5*z**5 + 0*z**2 - 8/9*z**3 + 0*z - 1/9*z**6 + 0*z**4. Let v(h) = 0. What is h?
-1, 0, 2
Let h be (-1)/(-24) - 7806530/(-304080). Factor -250/7 - 2/7*u**4 + 400/7*u + 32/7*u**3 - h*u**2.
-2*(u - 5)**3*(u - 1)/7
Let m(h) = -943*h - 13200. Let d be m(-14). What is l in -21/10 + 1/10*l**d - 2*l = 0?
-1, 21
Suppose -21 = -4*v - 9. Factor 7*b**2 - 45 + 4*b**3 + v*b - 43*b**2 + 93*b - 19.
4*(b - 4)**2*(b - 1)
Solve 154/9*y**3 - 2/9*y**5 + 22/9*y**4 + 106/9*y**2 - 152/9*y - 128/9 = 0.
-4, -1, 1, 16
Let x(b) = -b**3 - b**2 + b - 24. Let f be x(0). Let n be (1/(-9)*-3)/((-2)/f). Factor n*o**5 - 4 - 91*o**2 + 52*o - 3 - 5 - 28*o**4 + 72*o**3 + 3*o**2.
4*(o - 3)*(o - 1)**4
Suppose -r = 1765*j - 1770*j - 28, 2 = 4*r + 2*j. Factor 3/7*v**4 - 5/7*v**2 - 6/7*v + 8/7*v**r + 0.
v*(v - 1)*(v + 3)*(3*v + 2)/7
Determine j so that -2/15*j**5 - 898/15*j - 226/5 + 92/3*j**2 + 218/15*j**4 + 60*j**3 = 0.
-3, -1, 1, 113
Let g(p) = 66*p**2 - 49*p - 25. Let x(m) = -70*m**2 + 47*m + 25. Let u(q) = 7*g(q) + 6*x(q). Solve u(j) = 0.
-1/3, 25/14
Let g(s) be the first derivative of 5*s**3/3 + 365*s**2 + 26645*s + 7342. Factor g(z).
5*(z + 73)**2
Factor 9669*x**2 - 33872400*x + 21904152000 - 5141*x**2 + 12932*x**2 - 3*x**3.
-3*(x - 1940)**3
Let q = -785 - -791. Let y be (-4)/14 + 1606/231 - q. Factor 0*a + 31/6*a**2 + 7/6*a**5 + 53/6*a**3 + 11/2*a**4 - y.
(a + 1)**3*(a + 2)*(7*a - 2)/6
Let q be 0/(((-210)/(-63) + 6/(-18))*2/(-6)). What is j in q - 1/2*j**4 + 32*j + 17/2*j**3 - 40*j**2 = 0?
0, 1, 8
Let d = -29 - -31. Let v be (4 + -3 - d)*-2. Let -5*g + 1 - 13*g**2 - 7*g**2 - v*g**3 + 9 + 17*g**3 = 0. What is g?
-2/3, 1
Let q(x) be the second derivative of x + 17/2*x**3 + 3/20*x**5 + 144 + 5*x**4 - 57*x**2. Suppose q(c) = 0. Calculate c.
-19, -2, 1
Let m(u) = u**2 - 4*u - 18. Let n be m(-3). Suppose 2*c - n = 3*q, -c - q + 0 = -4. Factor -26*d**3 + 6*d**4 + 22*d**4 - 9*d + 8 + 29*d - 36*d**2 + 6*d**c.
4*(d - 1)**2*(d + 1)*(7*d + 2)
Let a(g) be the first derivative of g**4/16 - 31*g**3/4 + 23*g**2/2 - 1554. Factor a(u).
u*(u - 92)*(u - 1)/4
Factor -12723*r - 4 - 1 + 5 + 140*r**4 - 140*r**2 - 16*r**3 + 12739*r.
4*r*(r - 1)*(r + 1)*(35*r - 4)
Suppose 2*u + x + 19 = 5*u, u + 4*x = 2. Let j(b) = -22*b + 49. Let q be j(2). Factor 4*k**5 - 6*k**2 - q*k**3 + u*k**2 + k**3.
4*k**3*(k - 1)*(k + 1)
Let b be (-8)/6 - (-142336)/107328. Let m = 1130/1677 + b. Let 0 - 4/3*v + 4/3*v**3 + 2/3*v**2 - m*v**4 = 0. What is v?
-1, 0, 1, 2
Let l = 207586/38415 - 29/7683. Suppose -l*r**2 + 21/5*r + 6/5*r**3 + 18/5 = 0. Calculate r.
-1/2, 2, 3
Factor -41/11*h + 1/11*h**2 + 40/11.
(h - 40)*(h - 1)/11
Factor 69*m**3 + 208/3*m**2 + 0*m - 1/3*m**4 + 0.
-m**2*(m - 208)*(m + 1)/3
Let h(q) be the second derivative of q**6/24 + q**5/20 - 2*q**3/3 - 3*q*