actor -b - 8/5*t - 2/5*t**2.
-2*(t + 1)*(t + 3)/5
Let u(f) = -7*f**2 + 15*f - 47. Let i(p) = -19*p**2 + 45*p - 140. Let o(j) = 3*i(j) - 8*u(j). Find v, given that o(v) = 0.
4, 11
Suppose -2/15*i**3 - 4/15*i**2 + 2/15*i + 4/15 = 0. Calculate i.
-2, -1, 1
Let u(j) = -5*j**4 + 31*j**3 + 92*j**2 + 127*j + 43. Let v(b) = -2*b**4 + 15*b**3 + 46*b**2 + 63*b + 22. Let k(q) = -6*u(q) + 14*v(q). What is s in k(s) = 0?
-5, -1
Suppose -7*a + 12 = -9. Suppose -4 = -4*c + 3*u - 2, 6 = a*u. What is v in 2/11*v**c + 4/11 - 6/11*v = 0?
1, 2
Suppose -4 = -2*m - 4*q, 2*m - 15 - 1 = -q. Factor 4*z**3 + 6*z + 60*z**2 - 3*z**4 - m*z**3 - 57*z**2.
-3*z*(z - 1)*(z + 1)*(z + 2)
Let a(y) = y**2 - 4*y + 2. Let u be a(4). What is h in 7*h**u - 11*h**3 + 14*h**3 + 21*h + 8*h**2 + 9 = 0?
-3, -1
Let y = 84233/74888 - -2/9361. Factor y*a - 3/8*a**2 + 3/2.
-3*(a - 4)*(a + 1)/8
Let g(x) be the third derivative of -8*x**7/1995 + 11*x**6/380 - 6*x**5/95 + x**4/57 - x**2 + 367. Let g(o) = 0. Calculate o.
0, 1/8, 2
Let c(q) be the second derivative of 14*q + 5/24*q**4 + 0*q**3 - 5*q**2 + 0. Let c(d) = 0. What is d?
-2, 2
Let m(c) be the second derivative of c**6/30 - c**5/5 - 7*c**4/4 - 2*c**3/3 + 14*c**2 - 110*c + 1. Factor m(a).
(a - 7)*(a - 1)*(a + 2)**2
Let b be (3 - -2)*((-11)/(-5) + 1). Suppose 18 = 2*q - 2*x + 5*x, 4*x = b. Solve -4/7*r**4 + 4/7*r**2 + 0*r + 4/7*r**5 + 0 - 4/7*r**q = 0.
-1, 0, 1
Let l(j) be the third derivative of 7*j**2 + 0*j - 5/8*j**4 - 1/120*j**6 + 0 + 3/2*j**3 + 7/60*j**5. Determine g, given that l(g) = 0.
1, 3
Suppose -17*i = -i + 96. Let q(h) = -h - 4. Let j be q(i). Factor -8/5*u + 2/5 + 12/5*u**j - 8/5*u**3 + 2/5*u**4.
2*(u - 1)**4/5
Let c(y) = y**3 - 41*y**2 + 80*y - 78. Let o be c(39). Suppose 6*x - 5 = 13. Solve 0*d**2 + 4/3*d**x - 2/3*d**5 + o - 2/3*d**4 + 0*d = 0 for d.
-2, 0, 1
Find o, given that 2/11*o**5 + 0 + 32/11*o - 12/11*o**4 + 48/11*o**2 + 2/11*o**3 = 0.
-1, 0, 4
Let p be 9 + 4078/(-240) + 8. Let b(g) be the third derivative of p*g**6 - 1/6*g**3 + 0*g + 1/80*g**5 + 0 - 1/24*g**4 + 1/840*g**7 + 3*g**2. Factor b(c).
(c - 1)*(c + 1)*(c + 2)**2/4
Determine i so that -5/3*i**4 - 320*i - 800/3 - 410/3*i**2 - 25*i**3 = 0.
-5, -4, -2
Let s(r) be the third derivative of 0*r - 1/20*r**4 + 0 + 9*r**2 + 0*r**3 - 1/150*r**5. Suppose s(p) = 0. Calculate p.
-3, 0
Let j(d) = -2*d**3 + 7*d**2 + 6*d - 4. Suppose 7*t = 2*t + 20. Let s be j(t). Factor -b**3 - 8*b**5 - 4*b**3 - 11*b**3 + 18*b**s + 4*b**3 + 2*b**2.
-2*b**2*(b - 1)**2*(4*b - 1)
Suppose -9*q - 6 = -12*q. Factor 5*x + 7*x - q*x**2 - x - x.
-2*x*(x - 5)
Let m(w) = -37*w**3 - 9*w**2 - 3*w - 53. Let t(g) = -13*g**3 - 3*g**2 - 2*g - 18. Let p(z) = -6*m(z) + 17*t(z). Factor p(f).
(f - 2)*(f - 1)*(f + 6)
Let q = 110 - 192. Let r = -71 - q. Factor r*h**2 + 0 + 169/4*h**3 + 36*h**5 + h + 66*h**4.
h*(3*h + 2)**2*(4*h + 1)**2/4
Let s(f) = -4*f**2 - 19*f - 17. Let v be s(-7). Let j be (9/2)/((-30)/v). What is p in 3/2*p**4 + 0 + 18*p**2 - 9*p**3 - j*p = 0?
0, 2
Let h(n) = 4*n + 36. Let f be h(-9). Let u be -1 - f - (4 - 5). Let -2/5*z**2 + u + 2/5*z = 0. What is z?
0, 1
Let 2/11*m**2 + 16/11*m + 0 = 0. Calculate m.
-8, 0
Let b(h) be the second derivative of -h**6/90 + h**5/12 - 7*h**4/36 + h**3/6 + 29*h. Let b(c) = 0. What is c?
0, 1, 3
What is z in -1/6*z**3 - 5/6*z**2 + 0 + 0*z = 0?
-5, 0
Let i = -404 - -1617/4. Let c(m) be the third derivative of 0*m + i*m**5 - 1/40*m**6 + 2*m**3 + 0 - m**4 + m**2. Suppose c(p) = 0. What is p?
1, 2
Let a(z) be the second derivative of 32/3*z**2 + 14*z + 0 - 16/9*z**3 + 1/9*z**4. Suppose a(b) = 0. What is b?
4
Let w(q) be the first derivative of 3*q**6/2 + 24*q**5/5 - 15*q**4/4 - 18*q**3 + 6*q**2 + 24*q + 132. Suppose w(t) = 0. Calculate t.
-2, -2/3, 1
Let h = 3/1450 - -2867/15950. Find v such that h*v**5 - 12/11*v**4 - 4/11 + 28/11*v**3 - 32/11*v**2 + 18/11*v = 0.
1, 2
Let q(y) be the first derivative of -17 + 0*y**2 - 1/6*y**4 + 1/9*y**3 + 1/15*y**5 + 0*y. Find d, given that q(d) = 0.
0, 1
Let r(i) be the first derivative of -i**4/12 + i**3 - 36*i - 27. Determine v, given that r(v) = 0.
-3, 6
Let d(k) = 5*k**4 - 41*k**3 + 3*k**2 + 45*k - 4. Let c(r) = r**4 + r**3 + r**2 - 1. Let v(q) = -4*c(q) + d(q). Determine o, given that v(o) = 0.
-1, 0, 1, 45
Let v be 16/6*(-9)/(-12). Let o be (-384)/(-10) + v/(-5). Factor 38*i - 3*i**2 + 3*i**4 - o*i.
3*i**2*(i - 1)*(i + 1)
Determine j so that 3*j**3 - 8*j**2 + 10*j**3 + 8*j - 40*j**3 + 12*j**4 + 5*j**3 = 0.
-2/3, 0, 1/2, 2
Let t(s) be the second derivative of s**5/180 - s**3/18 + 23*s**2/2 - 13*s. Let w(l) be the first derivative of t(l). Solve w(h) = 0.
-1, 1
Suppose -4*o - 5*c = 17, -5*o + 0*c - 15 = 5*c. Let j(h) be the third derivative of -1/6*h**3 - 2*h**o - 1/36*h**4 + 0 + 0*h + 1/180*h**5. Factor j(z).
(z - 3)*(z + 1)/3
Let p(s) = 14*s + 2. Suppose 5*c = -7*c. Let z be p(c). Determine f so that 1 + 3*f + 5/4*f**z = 0.
-2, -2/5
What is a in -49*a**2 + 5*a**3 + 14*a**2 - 3*a**3 + 3*a**3 = 0?
0, 7
Suppose -35 = -6*f + f. Let t = 4 + f. Find d, given that 27*d**3 - 34*d**3 - d**4 - t*d + 2*d - 15*d**2 = 0.
-3, -1, 0
Suppose -1252*h + 1198*h + 216 = 0. Solve 288/5*l**2 + 768/5 + 3/5*l**h - 768/5*l - 48/5*l**3 = 0.
4
Let r(n) be the second derivative of -n**5/420 + n**4/84 - n**3/42 + 7*n**2 + 14*n. Let p(h) be the first derivative of r(h). Factor p(m).
-(m - 1)**2/7
Let r(c) = -37*c + 89. Let j be r(-4). Let d = j + -234. Solve 0 - 2/9*t**4 + 0*t - 8/9*t**d - 2/3*t**2 = 0 for t.
-3, -1, 0
Let n(j) = -j**4 + j**3 + j**2 + j + 1. Let l(z) = 4*z**5 + 14*z**4 + 30*z**3 - 2*z**2 - 22*z - 6. Let d(m) = l(m) - 6*n(m). Solve d(y) = 0 for y.
-3, -1, 1
Factor -36 + 3/2*b**3 - 30*b - 3*b**2.
3*(b - 6)*(b + 2)**2/2
Let p = -1681 - -1685. Let t(l) be the first derivative of -1/2*l**2 - 1/3*l**3 + 1/4*l**p + 1/5*l**5 + 10 + 0*l. Let t(m) = 0. Calculate m.
-1, 0, 1
Let -81 - 2*w**3 - 185*w**2 - 114 - 3*w**3 + 83*w + 154*w + 148*w = 0. What is w?
-39, 1
Let c = 3137 + -3134. Let f(i) be the first derivative of -c*i**3 + 3/4*i**4 + 9/2*i**2 - 3*i + 9. Suppose f(w) = 0. Calculate w.
1
Let i(o) be the second derivative of -o**6/120 - o**5/80 + 7*o**4/48 + o**3/24 - 3*o**2/4 - 48*o. Determine g, given that i(g) = 0.
-3, -1, 1, 2
Let g(k) be the first derivative of -k**3/9 - k**2 - 8*k/3 + 71. Determine m, given that g(m) = 0.
-4, -2
Suppose 0 = 3*s - 4*s - 18. Let b = -16 - s. Find m, given that -2 - 26*m**4 + 6*m - 10*m**4 - 34*m**3 + 4*m**3 + 14*m**b = 0.
-1, -1/2, 1/3
Let d(r) be the third derivative of 6*r**2 + 1/270*r**5 - 1/27*r**4 + 0 + 1/9*r**3 + 0*r. Factor d(w).
2*(w - 3)*(w - 1)/9
Let h(g) be the first derivative of g**6/90 - g**5/30 + g**3/9 - g**2/6 - 26*g - 15. Let v(t) be the first derivative of h(t). Factor v(s).
(s - 1)**3*(s + 1)/3
Factor -8/7*d**3 - 16/7*d**5 + 0*d**2 + 36/7*d**4 + 0*d + 0.
-4*d**3*(d - 2)*(4*d - 1)/7
Let x(z) be the second derivative of -109/30*z**5 + 2*z**4 + 14/5*z**6 + 0 - 4/9*z**3 - 7/9*z**7 + 0*z**2 - 28*z. Find k, given that x(k) = 0.
0, 2/7, 1
Let t = -117676/6965 + -470/199. Let m = -132/7 - t. Find l, given that -1/5*l**5 - 1/5*l + m*l**3 + 2/5*l**4 - 4/5*l**2 + 2/5 = 0.
-1, 1, 2
Let d be ((3 - 1) + 4)*1/2. Suppose -3*y + 5*j = -25, -10 = -5*y - j + d*j. Factor -3/5*c**2 + y - 6/5*c.
-3*c*(c + 2)/5
Solve -24*y**2 + 51/2*y**3 - 15/2*y**4 + 0 + 6*y = 0 for y.
0, 2/5, 1, 2
Let -4/5*b**3 - 704/5 + 288/5*b - 12/5*b**2 = 0. Calculate b.
-11, 4
Let j(g) be the third derivative of 0*g**3 + 0*g**4 + 1/960*g**6 + 2*g**2 + 0 - 1/2688*g**8 - 1/1680*g**7 + 1/480*g**5 + 0*g. Factor j(m).
-m**2*(m - 1)*(m + 1)**2/8
Let x be (-3)/((-21)/(-6) - 2). Let g be 3 - (0/x)/(-3). Solve -4*m**2 + 5*m**g - m**3 + 4*m**4 + 14*m - 18*m = 0 for m.
-1, 0, 1
Let z be (-82)/(-7) - (5/7 + -1). Let a be ((-3)/z)/1 + (-36)/(-16). Factor 0*y + 0 - 3/4*y**3 - 3/4*y**a.
-3*y**2*(y + 1)/4
Let z(n) be the first derivative of n**5/2 - 5*n**4/16 - 40. Suppose z(b) = 0. Calculate b.
0, 1/2
Let l(h) = -5*h**3 + 59*h**2 - 392*h - 449. Let y(b) = -3*b**3 + b**2 - 2*b + 1. Let n(i) = l(i) - y(i). Factor n(r).
-2*(r - 15)**2*(r + 1)
Let d = -24 + 39. Suppose d = 8*f - 17. Factor 0*j**3 - 4*j + 4*j**2 - 3*j**4 - 3*j**3 + 7*j**3 - j**f.
-4*j*(j - 1)**2*(j + 1)
Let o be (-4)/4 + (7 - 4). Factor -10*u**2 - 12*u**o - 1 + 5*u - 5*u**3 - 4 + 27*u*