*x**2 + 33 = 0.
1/4, 4
Let k be ((-12)/5)/(-3*3/1440). Let s = -6526/17 + k. What is j in -2/17*j + s*j**2 - 4/17 = 0?
-1, 2
Let p = 1154 + -1154. Let g(d) be the second derivative of -1/9*d**3 + 0 + 4*d + p*d**2 - 1/18*d**4. Find k, given that g(k) = 0.
-1, 0
Let x(q) = -q**3 - q**2 + 2*q + 58. Let g be x(0). Factor g*h**3 - 5*h**2 - 63*h**3 - 5*h**2.
-5*h**2*(h + 2)
Let w(c) be the third derivative of -c**8/168 - c**7/21 - 3*c**6/20 - 7*c**5/30 - c**4/6 - 12*c**2 + 6. Factor w(d).
-2*d*(d + 1)**3*(d + 2)
Let n = -248 + 252. Let u(r) be the first derivative of 5 - 2/5*r**2 - 7/10*r**n + 6/5*r**3 + 0*r. Determine s, given that u(s) = 0.
0, 2/7, 1
Let y(b) = 4*b**5 - 10*b**4 - 2*b**3 + 10*b**2 - 6*b + 2. Let p(t) = t**4 + t**3 - t**2 + t - 1. Let h(q) = -2*p(q) - y(q). Suppose h(a) = 0. Calculate a.
-1, 0, 1
Let f(g) be the third derivative of -3/200*g**6 + 0*g + 12*g**2 - 1/5*g**3 + 3/40*g**4 + 0 + 1/50*g**5. Let f(j) = 0. What is j?
-1, 2/3, 1
Let w be (-15)/(-9) + -2*(-7)/(-14). Solve -w*i**3 - 20/9*i**2 - 2*i - 4/9 = 0.
-2, -1, -1/3
Let p(s) be the first derivative of -2*s**6/21 - 4*s**5/7 - s**4 - 4*s**3/7 + 2. Suppose p(h) = 0. Calculate h.
-3, -1, 0
Let x = 5196/5 + -1036. Factor h**4 - 4/5 - 2/5*h**3 + x*h - 3*h**2.
(h - 1)**2*(h + 2)*(5*h - 2)/5
Let k(t) be the third derivative of -t**6/1260 + 4*t**5/315 - 11*t**4/252 - 20*t**3/63 - t**2 + 19*t. Factor k(y).
-2*(y - 5)*(y - 4)*(y + 1)/21
Let 18*d - 36*d - 8*d**2 - 33*d - 25*d + 4*d**3 + 80 = 0. Calculate d.
-4, 1, 5
Let p(l) be the third derivative of -l**8/4480 + l**6/480 + 3*l**4/4 - 26*l**2. Let d(m) be the second derivative of p(m). Find x such that d(x) = 0.
-1, 0, 1
Let d(n) = n**2 - 3*n + 1. Let h be d(6). Factor i**2 + h*i**2 - 5*i + 10*i**2.
5*i*(6*i - 1)
Let c(s) be the first derivative of -15*s**4/4 + 32*s**3 + 102*s**2 - 96*s + 150. Find j such that c(j) = 0.
-2, 2/5, 8
Let -12*n**5 - 11*n - 60*n**3 + 46*n + 15*n**4 - 168*n**2 + 153*n**3 + n = 0. What is n?
-3, 0, 1/4, 2
Let o be (42/(-5))/(-7 - (-685)/100). Factor -8*z**2 - z - 14*z + 36*z**4 - 28 + 4*z**5 - 45*z + o*z**3.
4*(z - 1)*(z + 1)**3*(z + 7)
Let m = 10 - 7. Let l(b) = -1 - 46*b**2 - b + 45*b**2 + 5*b - m*b. Let d(r) = -2*r**3 - 4*r**2 - 8*r. Let x(p) = d(p) + 2*l(p). Find k, given that x(k) = 0.
-1
Let k(w) = w**3 + 3*w**2 - 6*w - 3. Let d be k(-4). Let t(l) = l + 1. Let y(h) = -6*h**2 - 1 - 5*h + 13*h + 9*h**2. Let z(u) = d*t(u) - y(u). Solve z(s) = 0.
-2, 1
Suppose 4*q - 5*l = -0*l + 292, 0 = 2*q - 3*l - 144. Let b be (-5 - -3)*(-4 - q/(-21)). Factor b*m - 2/7*m**2 - 2/7.
-2*(m - 1)**2/7
Let o(r) be the first derivative of r**6/6 - 2*r**5/5 - r**4/4 + 2*r**3/3 - 45. Let o(h) = 0. Calculate h.
-1, 0, 1, 2
Let s(l) be the second derivative of 19*l - 2/5*l**5 + 2/21*l**7 + 0 - 2*l**2 - 2/15*l**6 + 2/3*l**3 + 2/3*l**4. What is n in s(n) = 0?
-1, 1
Let m be 25936/4011 - (-6 - 51/(-9)). Let u = m - -11/191. Factor u*x**2 + 9*x**3 + 27/7*x**4 + 0 + 12/7*x.
3*x*(x + 1)*(3*x + 2)**2/7
Let w(v) be the first derivative of 49*v**6/3 - 182*v**5/15 - 57*v**4/2 + 26*v**3/3 + 64*v**2/3 + 8*v + 103. Suppose w(n) = 0. Calculate n.
-2/3, -3/7, -2/7, 1
Let l(s) be the third derivative of 6*s**2 - 17/8*s**4 + 0*s - 1/2*s**5 - 1/40*s**6 - 4*s**3 + 0. Solve l(d) = 0.
-8, -1
Let s(o) be the third derivative of o**8/588 - 13*o**7/1470 + 11*o**6/840 - o**5/210 + 2*o**2 - 32. Solve s(z) = 0.
0, 1/4, 1, 2
Factor -25 - 5*w - 1/4*w**2.
-(w + 10)**2/4
Let g = 20536 + -12174. Suppose 36 - 8350*a - 108 + a**3 + 10*a**2 + g*a = 0. What is a?
-6, 2
Let q(g) be the first derivative of 4/15*g**3 - 10 - 8/5*g - 2/5*g**2. Suppose q(d) = 0. Calculate d.
-1, 2
Factor -40/3*q + 32 + 4/3*q**2.
4*(q - 6)*(q - 4)/3
Factor -237/4*k + 60 - 3/4*k**2.
-3*(k - 1)*(k + 80)/4
Factor 17*x**3 - 25*x**2 + 16*x**3 - 10*x**3 + 9*x**3 - 5*x**3 + x**5 - 11*x**4 + 8*x.
x*(x - 8)*(x - 1)**3
Factor 7/4 - 2*t**2 + 3/2*t + 1/4*t**4 - 3/2*t**3.
(t - 7)*(t - 1)*(t + 1)**2/4
Let z(x) = 2*x**2 + 58*x. Let m be z(-29). Factor 2/3*u**2 - 1/3*u**4 - 1/3*u**3 + m*u + 0.
-u**2*(u - 1)*(u + 2)/3
Let p(v) be the second derivative of -v**7/42 + v**6/8 - v**5/4 + 5*v**4/24 - v**2/2 - 6*v. Let f(j) be the first derivative of p(j). Solve f(i) = 0 for i.
0, 1
Let b be (-2)/3 - 156/9. Let c be ((-8)/b)/(8/36). Factor 4*k**c - 4*k**2 - 3*k**2 - 3*k.
-3*k*(k + 1)
Let w be (1 - 5) + -5*(-133)/95. Suppose -686/17*t**5 - 200/17*t - 16/17 - 1960/17*t**4 - 940/17*t**2 - 2030/17*t**w = 0. What is t?
-1, -2/7
Suppose 0 = -3*w + 130 + 14. Let v = w + -48. Let v + 2/7*p**3 - 4/7*p**2 + 0*p = 0. What is p?
0, 2
Suppose 0*p - 2 = -p. Suppose -3*g - 10 = -5*c + 2*g, 0 = -3*g - 6. Factor -6*u + p*u**3 - 6*u**4 + 8*u**3 - u**3 + c*u**2 + 9*u**2.
-3*u*(u - 2)*(u + 1)*(2*u - 1)
Let v = -37 - -42. Suppose -v*h + 30 = 5. Factor 12/5*q**3 + 0 + 2/5*q - 8/5*q**2 - 8/5*q**4 + 2/5*q**h.
2*q*(q - 1)**4/5
Let n be ((-99)/3 + -3)/(-2). Let v be (n + -12)*(-2)/(-3). Determine i, given that 1 - 6*i**2 + v*i - 6*i + 7*i**2 = 0.
1
What is k in -20/9 - 86/9*k + 2*k**2 = 0?
-2/9, 5
Let o(b) = -2*b - 3. Let v be o(-3). Factor -17*c**3 - c**2 + 4*c - 9*c**3 + 8*c**3 - 10*c**5 + v*c**2 - 26*c**4.
-2*c*(c + 1)**3*(5*c - 2)
Let x(i) be the second derivative of 2/3*i**3 + 0*i**2 - 1/30*i**5 - 1/180*i**6 + 0 - 1/12*i**4 + 4*i. Let a(o) be the second derivative of x(o). Factor a(c).
-2*(c + 1)**2
Let a be -1*(-2)/162*-3. Let w = 29/54 + a. Suppose x**2 + w*x + 0 + 1/2*x**3 = 0. Calculate x.
-1, 0
Let z(q) be the first derivative of -1/8*q**4 - 1/120*q**6 + q - 1/8*q**2 - 1/20*q**5 - 1/6*q**3 - 2. Let h(d) be the first derivative of z(d). Factor h(w).
-(w + 1)**4/4
Let b = -13 + -73. Let z = b + 89. Solve 0*n + 0 - n**2 - 1/4*n**5 - 5/4*n**4 - 2*n**z = 0 for n.
-2, -1, 0
Let j(m) be the first derivative of m**6 - 8*m**5/5 - 3*m**4 + 16*m**3/3 + 3*m**2 - 8*m + 11. What is q in j(q) = 0?
-1, 1, 4/3
Suppose 0 = -51*n + 66*n. Factor -2/7*r**3 + 2/7*r + n*r**2 + 0.
-2*r*(r - 1)*(r + 1)/7
Suppose -5*l = -5*o - 5, 7*o - 5*o = 5*l - 8. Find x such that -3*x - 3/2*x**l - 3/2 = 0.
-1
Let a be 0 - ((-63)/35)/9. Factor -6/5*s**3 - 4/5 - a*s**4 - 13/5*s**2 - 12/5*s.
-(s + 1)**2*(s + 2)**2/5
Let u(f) be the first derivative of 2*f**3/9 + 13*f**2/3 + 44*f/3 + 291. Factor u(s).
2*(s + 2)*(s + 11)/3
Let v(b) be the first derivative of -b**4/6 + b**3/3 + 2*b**2 + 11*b + 5. Let o(l) be the first derivative of v(l). Determine i so that o(i) = 0.
-1, 2
Let c(o) = 2*o**3 + 3*o**2 - 4*o + 2. Let s be c(1). Factor 26*u**3 + 44*u**3 + 75*u**5 + 140*u**4 - 15*u**s - 10*u**2.
5*u**2*(u + 1)**2*(15*u - 2)
Let s = 1838/185 - -32/37. Factor s + 18/5*z**2 + 54/5*z + 2/5*z**3.
2*(z + 3)**3/5
Let f(m) = m**2 + 23*m - 75. Let u be f(-26). Let v(w) be the second derivative of -w - 1/15*w**4 + 1/10*w**5 - 1/25*w**6 + 0*w**u + 0 + 0*w**2. Factor v(z).
-2*z**2*(z - 1)*(3*z - 2)/5
Let s(b) = 7*b - 19. Let f be s(3). Let n(y) be the second derivative of 1/20*y**4 - 1/10*y**3 + 0*y**f + 0 - 3*y. Factor n(d).
3*d*(d - 1)/5
Suppose -y - 30 + 32 = 0. Factor -9*k + 20*k - 7*k + y*k**3 + 6*k**2.
2*k*(k + 1)*(k + 2)
Suppose -80 = -38*a - 2*a. Let c(t) be the first derivative of -1/5*t**3 + 6/5*t + 3/10*t**a + 6. Factor c(z).
-3*(z - 2)*(z + 1)/5
Let b(x) be the second derivative of -55/6*x**3 - 6*x - 5/3*x**4 + 15/2*x**2 + 0. Factor b(z).
-5*(z + 3)*(4*z - 1)
Suppose 20 = -5*l, d + 0*d + l = 0. Suppose 0*g + 5*w = 4*g, -d*g - 4*w = 0. Suppose -8/9*y**4 + g + 2/9*y**2 + 2/3*y**3 + 0*y = 0. Calculate y.
-1/4, 0, 1
Let n(z) be the third derivative of -155*z**7/84 + 71*z**6/12 - 263*z**5/40 + 37*z**4/12 - z**3/3 - 203*z**2. Solve n(b) = 0 for b.
1/31, 2/5, 1
Let y be 7 - 4 - 2 - -2. Let o be 0 - (y - 30/9). What is n in 1/3*n**3 - o*n**2 + 0 + 1/3*n**4 - 1/3*n = 0?
-1, 0, 1
Let a(k) be the first derivative of -11/3*k + 1/9*k**3 - 4 - 5/3*k**2. Factor a(b).
(b - 11)*(b + 1)/3
Let q(t) be the third derivative of -t**5/240 - 25*t**4/24 - 49*t**3/6 - 1065*t**2. Factor q(d).
-(d + 2)*(d + 98)/4
Let w(o) = -3 - o**5 + 4*o**5 - 5*o**4 + 2*o**4 + 3*o**5. Let a(l) = 7*l**5 - 4*l**4 + l**3 - 4. Let m(x) = 3*a(x) - 4*w(x). Let m(j) = 0. Calculate j.
-1, 0, 1
Factor -1/3*t**2 + 85/3 + 28*t.
-(t - 85)*(t + 1)/3
Let r(m) be the first derivative of -m**6/180 - m**5/20 - 8*m**3/3 - 12. Let q(