, given that -16*v**3 - 6*v**4 + v**4 - 9*v**3 + 0*v**4 - 20*v**2 = 0.
-4, -1, 0
Let l = 66 + -261/4. Let t(y) be the first derivative of -l*y**2 - 5 - 1/12*y**3 - 9/4*y. Let t(x) = 0. What is x?
-3
Let f(i) be the first derivative of -2*i**3/9 + 7*i**2/2 - 10*i/3 - 140. What is j in f(j) = 0?
1/2, 10
Solve 6/11*q - 16/11*q**5 - 2/11 + 14/11*q**2 - 36/11*q**4 - 14/11*q**3 = 0 for q.
-1, 1/4, 1/2
Let u(w) = 11*w + 90. Let c be u(-8). Let i(j) be the first derivative of -c + 5/4*j**4 + 25/3*j**3 + 20*j + 20*j**2. Suppose i(a) = 0. Calculate a.
-2, -1
Let a be (3 + -4)*(9/75)/(-3). Let n(t) be the second derivative of a*t**5 + 0 - 1/10*t**4 + 0*t**2 + 1/15*t**3 - 8*t. What is c in n(c) = 0?
0, 1/2, 1
Let r(n) be the third derivative of 5*n**5/28 + 5*n**4/28 + n**3/14 - 2*n**2 + 12. Find h, given that r(h) = 0.
-1/5
Let s(k) = -16*k + 816. Let p be s(51). Solve 3*y**3 + 3/2*y**4 - 3*y + p*y**2 - 3/2 = 0 for y.
-1, 1
Let x = -407 - -30524/75. Let b = x + 77/150. What is f in f - 1/2*f**2 - b = 0?
1
Solve -8 + 138*t**3 - 112/3*t - 434/3*t**4 + 98/3*t**5 + 58/3*t**2 = 0.
-2/7, 1, 3
Let o be -11 + ((-2472)/(-108) - (-44)/(-4)). Factor 4/9*q**4 + 0*q**3 + o*q + 0 - 4/3*q**2.
4*q*(q - 1)**2*(q + 2)/9
Find b, given that 36*b + 18*b**2 + 5 + 3*b**3 + 30 - 11 + 0*b**3 = 0.
-2
Let l(b) be the second derivative of -b**4/90 - 13*b**3/15 + 8*b**2/3 - 364*b. Factor l(m).
-2*(m - 1)*(m + 40)/15
Let x(r) = 3*r**3 + 5*r**2 + 10*r + 12. Let l(k) = -2*k**3 - 3*k**2 - 9*k - 11. Let p(s) = -4*l(s) - 3*x(s). Solve p(j) = 0.
-4, -1, 2
Factor -15 - 315/4*j**2 - 75/4*j**3 + 72*j.
-3*(j + 5)*(5*j - 2)**2/4
Let i = -4755 + 23777/5. Factor -2/5*h**2 + 4/5 - i*h.
-2*(h - 1)*(h + 2)/5
Find m, given that 118/11*m + 26/11*m**3 + 94/11*m**2 + 2/11*m**4 + 48/11 = 0.
-8, -3, -1
Let o be 39/6 - (-36)/(-24). Let q(c) be the first derivative of 0*c + 2/5*c**5 - 15/22*c**4 - 1/11*c**6 - o + 6/11*c**3 - 2/11*c**2. Find w such that q(w) = 0.
0, 2/3, 1
Suppose -15*h + 55 = -65. Factor 0 - 14/3*r**4 - 2*r**2 - 4/3*r + h*r**3.
-2*r*(r - 1)**2*(7*r + 2)/3
Let q be 3*(-4)/(-6) - (5 - 6). Solve -5*x - q*x**3 + x**2 + 7*x**3 + 8 + x - 9*x**2 = 0 for x.
-1, 1, 2
Let a(l) be the second derivative of l**5/130 - l**4/39 - l**3/39 + 2*l**2/13 + 2*l + 7. Find y such that a(y) = 0.
-1, 1, 2
Let n(r) = 2*r**2 + 12*r + 12. Let v be n(-7). Let y be (-1 - -5) + v/(-7). Let 0*j - y*j**2 + 0 + 1/7*j**3 = 0. Calculate j.
0, 2
Let v be -100 + 101 - 4/18. Determine o, given that -v*o**3 + 2/3 - 29/9*o + 10/3*o**2 = 0.
2/7, 1, 3
Let q(c) be the second derivative of -5*c**4/12 + 15*c**3/2 + 97*c. Determine p so that q(p) = 0.
0, 9
Let m(f) = f**3 + 16*f**2 - 2*f + 23. Let s be m(-16). Let b = 277/5 - s. Determine t so that 4/5*t**2 + 2/5*t + 0 + b*t**3 = 0.
-1, 0
Let u(j) be the first derivative of -j**3/21 - 6*j**2/7 - 36*j/7 - 147. Find s such that u(s) = 0.
-6
Factor -215*r**3 - 15*r**2 - 19*r**2 - 180 - 240*r - 31*r**2 + 210*r**3.
-5*(r + 1)*(r + 6)**2
Suppose k**3 - 41*k**2 - 13*k**2 - 674*k - 6*k**3 - 125 + 499*k - k**2 = 0. What is k?
-5, -1
Let p(q) = -6*q**2 - 3*q - 11. Let o(t) = -t**2 - 2*t - 1. Let g(k) = 10*o(k) - 2*p(k). Find n, given that g(n) = 0.
1, 6
Let w be (1107/(-1845))/(2/10*6 - 2). Let 0*d + w*d**2 - 3/4 = 0. What is d?
-1, 1
Let k(j) be the second derivative of -3*j**6/5 + j**5/5 + 2*j - 6. Let k(b) = 0. Calculate b.
0, 2/9
Let -441/4*a - 1/4*a**3 + 0 + 21/2*a**2 = 0. What is a?
0, 21
Let r = -25943/12 - -2162. Let m(i) be the first derivative of 9 - 1/4*i**2 + 0*i + 1/4*i**4 + 0*i**5 + 0*i**3 - r*i**6. Find b such that m(b) = 0.
-1, 0, 1
Let o be ((-7)/5)/((-6)/30). Suppose -2*x + 3*x = o. Factor -1 - 1 + x*t - 3*t - 2*t**2.
-2*(t - 1)**2
Let a(u) = 24*u - 6. Let c be a(6). Factor c + p**2 - 2*p**2 - 136 - p.
-(p - 1)*(p + 2)
Solve 2*h - 8/15*h**2 + 12/5 - 2/15*h**3 = 0 for h.
-6, -1, 3
Suppose 3*p - 7*p = 4*p. Let i(b) be the third derivative of -1/8*b**4 + 0*b + 1/60*b**5 + p + 1/3*b**3 - 6*b**2. Let i(f) = 0. Calculate f.
1, 2
Let s be 6 - (0 + 2 + 1). What is w in 7*w**2 + 4*w + 5*w**s + 41*w - 37*w**2 = 0?
0, 3
Suppose 0 = 8*y - 5 - 19. Find i such that 6*i**4 + 24*i**y - 16*i**3 - 12*i**2 - 2*i**4 = 0.
-3, 0, 1
Factor -12*c**2 + 17*c**2 - 60*c - 80*c.
5*c*(c - 28)
Let j be (-3)/12 + 20/16 - 1. Let v(l) be the first derivative of -1/6*l**3 + j*l + 5 + 0*l**2 - 1/8*l**4. Let v(b) = 0. Calculate b.
-1, 0
Find o such that 3*o**3 - 129*o**3 - 38*o**2 - 29*o**2 + 10*o**4 - 2*o**2 + 17*o**2 = 0.
-2/5, 0, 13
Suppose 3*q + 2*q - 10 = 0. Suppose 2*f = -0*f - 6, -3*o + 15 = -2*f. Factor -9*j**q - 22*j**4 - 2*j**4 - 9*j**5 - 8*j**3 + o*j**2 - 13*j**3.
-3*j**2*(j + 1)**2*(3*j + 2)
Let c be 210/(-11200)*((-2)/18)/1. Let o(y) be the third derivative of 0 + 6*y**2 - c*y**6 - 1/32*y**4 + 0*y + 1/80*y**5 + 1/24*y**3. Factor o(u).
-(u - 1)**3/4
Let o(b) be the second derivative of -2*b**6/15 - 6*b**5/5 - 3*b**4 - 192*b. Factor o(x).
-4*x**2*(x + 3)**2
Let y(l) = l**2 - 9*l + 8. Let s(m) be the first derivative of -m**2/2 + m - 12. Let f(o) = -35*s(o) + 5*y(o). Let f(x) = 0. What is x?
1
Let b = -12 - -23. Let c = b + -9. Let -3*g - g + g**c + 2*g = 0. Calculate g.
0, 2
Let d = 862 + -6026/7. Factor -3/7*m**3 - 2/7*m**2 + 1/7*m**4 - d + 12/7*m.
(m - 2)**2*(m - 1)*(m + 2)/7
Let i(m) = -m**3 + m**2 - 5*m + 2. Let a(j) = -j**2. Let t(w) = 12*a(w) - 4*i(w). What is n in t(n) = 0?
1, 2
Let h(q) be the second derivative of q**5/360 + q**4/72 - q**3/12 - 3*q**2 - 42*q. Let m(k) be the first derivative of h(k). Determine z, given that m(z) = 0.
-3, 1
Let i(n) be the first derivative of n**6/6 + n**5/5 - 13*n**4/4 - 25*n**3/3 - 6*n**2 + 195. Factor i(y).
y*(y - 4)*(y + 1)**2*(y + 3)
Factor -28322/5 - 476/5*o - 2/5*o**2.
-2*(o + 119)**2/5
Let k(f) be the third derivative of 0 + 0*f**6 + 0*f**4 + 2*f**2 + 0*f + 1/70*f**7 - 1/20*f**5 + 0*f**3. Determine y, given that k(y) = 0.
-1, 0, 1
Let l(s) be the first derivative of -4/3*s**3 + s**4 + 0*s + 4/5*s**5 - 3 - 2*s**2. Factor l(c).
4*c*(c - 1)*(c + 1)**2
Let h(k) = 4*k**2 + 8*k + 4. Let o(t) = 4*t**2 + 8*t + 4. Suppose -g - 25 = 4*a - 0*g, -a - 5*g - 30 = 0. Let c(y) = a*o(y) + 4*h(y). What is s in c(s) = 0?
-1
Let h(r) be the third derivative of 0*r**3 + 1/21*r**4 + 1/735*r**7 - 2/105*r**5 + 0 + 0*r - 1/420*r**6 + 33*r**2. Determine l so that h(l) = 0.
-2, 0, 1, 2
Let l be 0/(2/(2/(-1))*2). Let j(u) be the second derivative of 0*u**2 - 1/10*u**5 - 1/3*u**4 + 2*u - 1/3*u**3 + l. Solve j(y) = 0.
-1, 0
Suppose -v = -4*z + 11, z = 3*z - v - 7. Factor 1/4*k**z - k + 3/4.
(k - 3)*(k - 1)/4
Let b(l) be the second derivative of -l**5/20 + l**4 - 29*l**3/6 + 9*l**2 - 31*l + 1. Factor b(z).
-(z - 9)*(z - 2)*(z - 1)
Let 39/2*h - 12*h**2 - 9 + 3/2*h**3 = 0. What is h?
1, 6
Let k be (-20)/70*11/(1760/(-56)). Factor k*f**3 + 1/10*f**2 - 1/10*f - 1/10*f**4 + 0.
-f*(f - 1)**2*(f + 1)/10
Let n(p) = -p**2 + 13*p + 4. Let w(v) = v**2 - v + 1. Let k(d) = 2 - 6 + 4 - 1. Let b(q) = -2*k(q) - w(q). Let c(m) = -4*b(m) + n(m). Factor c(s).
3*s*(s + 3)
Let c(q) = -3*q**2 + 31*q + 12. Let s(j) = -6*j + 8. Let f be s(5). Let y(t) = 6*t + 1 - 4 - 14*t + t**2. Let v(a) = f*y(a) - 6*c(a). Solve v(l) = 0 for l.
-3/2, -1
Suppose 46*k + 45 - 363 + 42 = 0. Let l = 138/35 + -22/7. Solve -k*m**2 - 26/5*m + l = 0 for m.
-1, 2/15
Let t(b) be the first derivative of -10*b**3/33 - 27*b**2/11 - 20*b/11 - 41. Factor t(i).
-2*(i + 5)*(5*i + 2)/11
Suppose -5*o - 3 - 7 = 0. Let x be o*(1 + 5/(-2)). Let -81*v**5 - 108*v**3 - 30*v**2 - 3*v - 3 - 33*v**4 + x - 129*v**4 = 0. What is v?
-1, -1/3, 0
Let k(l) be the third derivative of -13*l**2 + 0*l + 1/112*l**8 + 2/5*l**5 - 3/8*l**4 + 0 + 0*l**3 + 0*l**7 - 3/20*l**6. Factor k(v).
3*v*(v - 1)**3*(v + 3)
Suppose -71*y + 75*y = 8. Let j(a) be the first derivative of -2/5*a**y + 2/15*a**3 - 1 + 2/5*a. Factor j(t).
2*(t - 1)**2/5
Suppose -a + 4 = 0, -3*a + 37 = 5*v + 15. Suppose 2*p + p + 5*h - 6 = 0, h - v = -p. Factor 48*j - 15 + 17*j**3 - 52*j**p - 2*j**4 + 7*j**3 - 2*j**4 - 1.
-4*(j - 2)**2*(j - 1)**2
Let o(s) be the first derivative of 10 + 0*s - 1/420*s**5 + 0*s**2 + 1/42*s**4 + 8/3*s**3 - 1/1260*s**6. Let y(v) be the third derivative of o(v). Factor y(r).
-2*(r - 1)*(r + 2)/7
Let u be (276/40 - 7)/((-36)/30). Let h(m) be the first derivative of 1/9*m**3 +