1143/5 - -1151/5. Solve -t*r - 34/5*r**3 + 0 + 2*r**4 + 32/5*r**2 = 0.
0, 2/5, 1, 2
Let r = 713/108 - 158/27. Factor -r + 23/8*i - 7/8*i**2.
-(i - 3)*(7*i - 2)/8
Let t(q) be the second derivative of 0 + q**4 + 2/5*q**5 - 12*q - 16/3*q**3 + 6*q**2. Suppose t(z) = 0. What is z?
-3, 1/2, 1
Let q(d) be the second derivative of -d**10/10080 - d**9/1890 - d**8/1120 + d**6/720 - d**4/12 - 12*d. Let m(n) be the third derivative of q(n). Factor m(f).
-f*(f + 1)**3*(3*f - 1)
Let z be (-1)/(-15)*(-28 + 34). Let y(w) = -2*w + 18. Let v be y(8). Factor -4/5*c - z*c**v - 2/5.
-2*(c + 1)**2/5
Let z = 62 + -80. Let q be 2/((-14)/(-25)) + 15 + z. Factor 0 + 2/7*b + q*b**2 - 10/7*b**5 - 24/7*b**3 + 4*b**4.
-2*b*(b - 1)**3*(5*b + 1)/7
Let b(v) = v**3 + 3*v**2 - 9*v + 17. Let y be b(-5). Let n be 6 - (-1 - (-81)/y). Let -1/4 + 0*d + n*d**2 = 0. What is d?
-1, 1
Find b such that 5*b**5 - 60*b - 1084*b**3 - 40*b**4 + 545*b**3 + 594*b**3 + 40*b**2 = 0.
-1, 0, 1, 2, 6
Let r(n) be the third derivative of n**8/1680 + n**7/630 - n**6/180 - n**5/30 - 3*n**4/8 - 15*n**2. Let l(t) be the second derivative of r(t). Factor l(g).
4*(g - 1)*(g + 1)**2
Suppose -14*b - 16 = -44. Let z(a) be the second derivative of 1/54*a**4 + 0 - a + 0*a**3 + 0*a**b. Suppose z(s) = 0. Calculate s.
0
Let q be 15*(40/12 - 3). Let k be 4 - 0 - (-15)/(-6). Solve 3/2*p + 3/2 - 3*p**3 + k*p**q - 3*p**2 + 3/2*p**4 = 0.
-1, 1
Suppose 0 = 4*u - 5*y - 100, -6*y = -5*u - 3*y + 125. Let k = -24 + u. Factor k + 3/2*p**2 - 5/2*p.
(p - 1)*(3*p - 2)/2
Solve 737 + 145 + 16*m**2 - 14*m**2 + 84*m = 0.
-21
Let o(l) = 5*l**2 - 332*l + 5114. Let c(a) = -5*a**2 + 330*a - 5115. Let v(u) = -6*c(u) - 5*o(u). Factor v(f).
5*(f - 32)**2
Let p be (-4*7/(-245))/(7/1120). Find u such that -p - 2/7*u**4 + 24/7*u**3 + 192/7*u - 104/7*u**2 = 0.
2, 4
Let i = 1828 + -1826. Factor -54/11*c**i + 26/11*c + 46/11*c**3 - 14/11*c**4 - 4/11.
-2*(c - 1)**3*(7*c - 2)/11
Let t = 132602/9 - 14730. Suppose -2*c + 6 = c. Suppose 2/9*o**c + t - 16/9*o = 0. Calculate o.
4
Let n(d) = -3*d**3 - 9*d**2 + 4*d + 12. Let y(t) = t. Let g be (-7)/2 + (-4)/8. Let x(v) = g*y(v) + n(v). Let x(b) = 0. What is b?
-2, 1
Let n = 13696 + -150632/11. Determine r, given that 0*r + n*r**3 + 0 + 14/11*r**4 - 8/11*r**2 = 0.
-2, 0, 2/7
Let g(m) be the second derivative of 1/20*m**6 - 23*m - 1/8*m**4 + 0*m**2 + 0 - 1/2*m**3 + 3/20*m**5. Factor g(a).
3*a*(a - 1)*(a + 1)*(a + 2)/2
Let m = 231/23 - 855/92. Let -m - 3/4*y**2 - 3/2*y = 0. What is y?
-1
Let x = 6582 - 6578. Suppose 6/19 + 12/19*c**2 - 2/19*c**x - 16/19*c + 0*c**3 = 0. What is c?
-3, 1
Let j be 194/64 + 9/(-3). Let v(a) be the third derivative of -1/8*a**3 + 1/160*a**6 + 13*a**2 + 0*a + 1/80*a**5 + 0 - j*a**4. Suppose v(g) = 0. What is g?
-1, 1
Let f = -2536/5 + 508. Solve f*s + 8/5*s**3 + 2*s**2 + 2/5*s**4 + 0 = 0 for s.
-2, -1, 0
Suppose 20*b - p + 1 = 22*b, -5*b + 2*p + 25 = 0. Solve 0*u + 0 - 3/4*u**b - 3*u**2 = 0 for u.
-4, 0
Factor -6/7 - 1/7*b**3 + 6/7*b**2 + 1/7*b.
-(b - 6)*(b - 1)*(b + 1)/7
Let s = -8 + 145. Let v be -3 + (-6)/(-15) + s/20. Solve 2 + 3/4*x**4 + 17/2*x**2 - v*x**3 - 7*x = 0.
2/3, 1, 2
Let s(k) be the first derivative of -k**6/30 + 4*k**5/25 - k**4/4 + 2*k**3/15 + 163. Suppose s(w) = 0. Calculate w.
0, 1, 2
Let f(p) = -2*p**3 + 2*p**2 + 2*p. Let y = -22 + 22. Let u be y + -1 + 0/(-4). Let b(c) = c**4 + c**3 - c**2 - c. Let j(t) = u*f(t) - 2*b(t). Factor j(s).
-2*s**4
Let f(m) be the third derivative of m**4/24 + 25*m**3/6 + 80*m**2. Let n be f(-23). What is i in -4/3*i + 14/3*i**2 + 10/3*i**5 + 0 - 14/3*i**4 - n*i**3 = 0?
-1, 0, 2/5, 1
Suppose -3*k = o - 6, 0*k + 2 = -o + k. Suppose -5*p - 10 = o, 4*q + 3*p = q. Factor -2/7*b**q + 2/7*b + 0.
-2*b*(b - 1)/7
Let q(h) = -25*h**3 - 776*h**2 - 33*h - 59. Let n be q(-31). Suppose 8/17 + 106/17*z**2 + 56/17*z + 18/17*z**4 + 76/17*z**n = 0. Calculate z.
-2, -1, -2/9
Let o(z) be the third derivative of z**5/30 - 14*z**4 + 2352*z**3 + 369*z**2. Determine t, given that o(t) = 0.
84
Suppose -2*u = -4*l - 6*u - 32, 0 = l + 4*u + 17. Let m be 0/2 + (1 + l - -4). Factor 0*r**3 - 4/7*r**2 + 4/7*r**4 - 2/7*r**5 + m + 2/7*r.
-2*r*(r - 1)**3*(r + 1)/7
Find v such that -48/7 + 60/7*v**3 + 148/7*v - 4/7*v**4 - 156/7*v**2 = 0.
1, 12
Suppose 26*w = -20*w + 184. Find y such that 4/9*y**3 - 40/9*y + 14/3*y**2 - 14/9*y**w + 8/9 = 0.
-2, 2/7, 1
Let f = 16 - 12. Solve -r**3 + r**f + 2*r**3 - r**2 + r - 2*r + 0*r = 0.
-1, 0, 1
Let p be (36/15 - 0) + (-2)/5. Factor 0*v - 5 + 13 - 2 - 3*v**p - 3*v.
-3*(v - 1)*(v + 2)
Let d(y) be the second derivative of 0*y**2 + 0 + 1/18*y**4 + 7/540*y**6 + 1/6*y**3 - 6*y - 1/20*y**5. Let k(c) be the second derivative of d(c). Factor k(x).
2*(x - 1)*(7*x - 2)/3
Factor -6*y**4 + y**4 - 431*y + 5 + 10*y**3 + 421*y.
-5*(y - 1)**3*(y + 1)
Factor 0 + 16*x**3 + 12 + 24*x + 15*x**2 - 48*x**3 + 20*x**3 + 15*x**3.
3*(x + 1)*(x + 2)**2
Let g(y) be the second derivative of y**4/18 + 4*y**3/9 - 4*y**2 + 188*y. Determine q, given that g(q) = 0.
-6, 2
Let l(w) = 6 + 0 + 12*w**3 + 3 + 2 - 10*w**2 - 16*w. Let d(h) = 48*h**3 - 39*h**2 - 63*h + 45. Let j(b) = -5*d(b) + 21*l(b). Factor j(i).
3*(i - 2)*(i + 1)*(4*i - 1)
Let d = 1143/7 - -2614/63. Let b = 205 - d. Let 2/9*j**2 - b + 0*j = 0. What is j?
-1, 1
Suppose -5*a + 11 = 2*i, 9*i - 19 = -5*a + 11*i. Let x(h) be the second derivative of 0 - 3/5*h**2 - 3*h + 1/20*h**4 - 1/10*h**a. Solve x(s) = 0.
-1, 2
What is w in 1556*w**3 - 55*w**4 - 135*w**2 + 10*w**5 + 1498*w**3 - 3354*w**3 = 0?
-3, -1/2, 0, 9
Let k(v) be the second derivative of -12*v + 3/8*v**2 + 0 - 1/6*v**3 + 1/48*v**4. Find n such that k(n) = 0.
1, 3
Let y = -2 - 3. Let x(u) = u**5 - u**3 + 1. Let w(c) = -2*c**5 - 15*c**4 + 26*c**3 - 9*c**2 - 5. Let h(g) = y*x(g) - w(g). Suppose h(t) = 0. What is t?
0, 1, 3
Let q(l) = -3*l**2 - 3*l. Let h(d) = -d**2 - d. Let v(u) = -u**2 + u. Let t be v(-1). Let x(c) = t*q(c) + 9*h(c). Factor x(j).
-3*j*(j + 1)
Let v(s) be the third derivative of -s**5/420 + 25*s**4/12 - 4375*s**3/6 - 2*s**2 + 9. Factor v(n).
-(n - 175)**2/7
Let j(g) = -2*g + 16. Let u be j(0). Suppose 3*d + u = 7*d. Solve -4*v**4 - 2*v**d + 10*v + 20*v**2 + 4*v**3 - 2*v - 2*v**4 = 0 for v.
-1, -1/2, 0, 2
Suppose 7*p = -10 + 94. Find o, given that 9*o + 8*o**2 - 2*o**2 - o - p - 2*o**2 = 0.
-3, 1
Let q(c) be the first derivative of -c**5/40 - c**4/6 - c**3/3 + 14*c - 5. Let k(j) be the first derivative of q(j). Factor k(a).
-a*(a + 2)**2/2
Let m(r) be the third derivative of 7*r**5/15 + 5*r**4/2 + 16*r**3/3 - 110*r**2. Factor m(c).
4*(c + 1)*(7*c + 8)
Let t(s) be the third derivative of s**5/30 - 5*s**4/2 + 75*s**3 + 26*s**2. Determine p so that t(p) = 0.
15
Factor 1/4*v**3 + 13/4*v**2 + 27/4 + 39/4*v.
(v + 1)*(v + 3)*(v + 9)/4
Suppose 217*j - 111*j = 116*j - 20. Solve 0 + y**j - 1/2*y = 0.
0, 1/2
Let m(a) be the second derivative of -72/5*a**2 - 1/60*a**4 + 0 + 4/5*a**3 + 2*a. Factor m(p).
-(p - 12)**2/5
Let m(o) be the third derivative of 2*o**7/105 - 9*o**6/10 - o**5/5 + 79*o**4/6 + 36*o**3 - 106*o**2. Factor m(z).
4*(z - 27)*(z - 2)*(z + 1)**2
Let q(d) be the first derivative of -2/15*d**5 - 2/3*d**3 + 1/3*d**2 - 15 + 0*d + 1/2*d**4. Suppose q(t) = 0. What is t?
0, 1
Suppose 18270 - 18270 = 11*l. Factor 3/8*b**2 - 3/2 + l*b.
3*(b - 2)*(b + 2)/8
Let c be 73/438 - 11/(-6). Solve 0 + 1/2*v**c - v = 0 for v.
0, 2
Let c(w) = w**3 + 7*w**2 - 106*w - 100. Let g(l) = 8*l**3 + 48*l**2 - 740*l - 700. Let s(j) = -20*c(j) + 3*g(j). Factor s(v).
4*(v - 5)*(v + 1)*(v + 5)
Let g be ((-285)/38)/(-10 - 0). Let k(s) be the first derivative of -g*s - 1 - 1/12*s**3 + 1/2*s**2. Determine f, given that k(f) = 0.
1, 3
Let o(k) = 9*k - 9. Let s be o(1). Let q(t) be the first derivative of s*t**3 + 0*t**4 + 0*t**2 + 0*t - 7 - 1/6*t**6 + 0*t**5. Factor q(j).
-j**5
Let z be -144 - -139 - (0 + -7). Factor -1/4*h - 3/8*h**z + 0 - 1/8*h**3.
-h*(h + 1)*(h + 2)/8
Let c(p) = p**2 + 12*p + 14. Let d be c(-11). Suppose -d*k + 7*k = 8. Let 8/9*h**k + 0 + 8/9*h + 2/9*h**3 = 0. What is h?
-2, 0
Solve 104/17*u + 108/17*u**2 + 40/17*u**3 + 2/17*u**4 + 2 = 0.
-17, -1
Let y(i) = i**3 + 23*i**2 + 44*i - 316. Let t be y(-20). Determine z, given that 14*z**t + 0 + 34*z**3 - 160/7*z**2 + 24/7*z = 0.
-3, 0, 2/7
Suppose -4*h - d = 3*d + 12, -d = -h - 9. Let g be (2 - (-7)/h)