(-13) - (-184)/13. Let h = -14 + m. Determine p, given that h - 4/7*p**3 + 0*p + 4/7*p**5 - 2/7*p**4 + 2/7*p**2 = 0.
-1, 0, 1/2, 1
Let -5*i**3 - 165*i**2 - 824*i - 1669*i + 678*i - 6655 = 0. What is i?
-11
Let n be 1 - -2 - (8 + -16). Find f, given that n + 12*f - 3*f**2 - 29 + f**2 = 0.
3
Let j(a) be the second derivative of -a**7/70 - a**6/20 - a**5/20 + a**2 + 7*a. Let l(v) be the first derivative of j(v). Factor l(m).
-3*m**2*(m + 1)**2
Let c be (-2)/(-1 - -3) + 3. Factor 8*f + 1922 - 12*f**c + 4*f**4 - 1922.
4*f*(f - 1)**2*(f + 2)
Find r such that -244*r**2 + 1096*r**3 - 1068*r**3 + 58 + 6 + 152*r = 0.
-2/7, 1, 8
Let s be 99/11 - (5 - 1). Let d(j) = -j**4 + j**2 + j + 1. Let w(n) = -2*n**4 - 15*n**3 + 5*n**2 + 5*n + 5. Let f(h) = s*d(h) - w(h). Factor f(a).
-3*a**3*(a - 5)
Let c(n) be the second derivative of -3*n**5/5 - 247*n**4/3 - 10250*n**3/3 - 3362*n**2 + 79*n. Suppose c(g) = 0. What is g?
-41, -1/3
Let z be 4/(-22) - 9*(-36)/891. Factor -72/11 - z*n**2 - 24/11*n.
-2*(n + 6)**2/11
Suppose -4*j + 21 = -3*j - a, 4*j - a - 99 = 0. Determine z, given that j*z**2 - z + 15*z**3 - 7*z - 7*z - 21*z**2 + 5*z**4 - 10 = 0.
-2, -1, 1
Let h(t) be the third derivative of -t**7/70 - 9*t**6/40 + 11*t**5/20 + 9*t**4/8 - 5*t**3 + 783*t**2. Factor h(b).
-3*(b - 1)**2*(b + 1)*(b + 10)
Let s(g) be the second derivative of -2*g**6/45 + 2*g**5/3 - 28*g**4/9 + 16*g**3/3 + 201*g. Factor s(p).
-4*p*(p - 6)*(p - 2)**2/3
Let z = -3 + 6. Suppose 54*o - 208 + 100 = 0. Solve 1/4 + 1/4*a - 1/4*a**o - 1/4*a**z = 0 for a.
-1, 1
Let i(t) be the second derivative of 20*t**7/21 + t**6/5 - 11*t**5/5 - t**4/2 + 2*t**3/3 + 3*t + 42. What is l in i(l) = 0?
-1, -2/5, 0, 1/4, 1
Factor 75*y + 97*y + 8 - 160*y + 4*y**2.
4*(y + 1)*(y + 2)
Suppose -12*p + 10*p + 4*g - 20 = 0, -3*p + 5*g - 25 = 0. Factor 3/4*c**5 + 3/4*c**4 + p*c**3 + 0*c + 0*c**2 + 0.
3*c**4*(c + 1)/4
Let n(h) be the third derivative of h**8/2856 + h**7/255 + 11*h**6/1020 + h**5/102 - 4*h**2 - h. Suppose n(f) = 0. Calculate f.
-5, -1, 0
Let a(t) be the second derivative of 7*t**5/10 + 83*t**4/3 - 223*t**3/3 + 50*t**2 + 149*t. Factor a(i).
2*(i - 1)*(i + 25)*(7*i - 2)
Let l(j) = -8*j**2 + 37*j - 93. Let z(s) = -7*s**2 + 43*s - 92. Let g(m) = 2*l(m) - 3*z(m). Suppose g(y) = 0. Calculate y.
2, 9
Let p(z) = -3*z**3 - z**2 - z. Let g be p(-1). Suppose -4*y + 3*y = -2. Determine a, given that -1 + y*a**2 + 3 + a - g*a**2 = 0.
-1, 2
Factor 4/5*f**4 + 7/10*f**3 + 1/5*f**2 + 0 + 0*f + 3/10*f**5.
f**2*(f + 1)**2*(3*f + 2)/10
Factor 20 + 34/3*l + 2/3*l**2.
2*(l + 2)*(l + 15)/3
Let n(y) be the first derivative of -3*y**5/10 + y**4 + y**3/2 + 45. Factor n(p).
-p**2*(p - 3)*(3*p + 1)/2
Let t be (-46)/(-16) - 2/(-16). Let w be (-2)/(-3) - (-1)/(-15). Solve -w*u**t + 0*u + 0 - 6/5*u**2 = 0 for u.
-2, 0
Let m be 24/18*(-6)/4. Let g be 7 + m - (2 + 1). Suppose 0*w**3 + 5*w**g + w**2 - 30*w - 2*w**3 + 8*w**2 + 18 = 0. What is w?
1, 3
Factor 2/17*s**2 + 156/17*s + 3042/17.
2*(s + 39)**2/17
Let u be 13 - 13 - (3 + 0 - 7). Solve 0 - 6/7*w**5 + 0*w + 0*w**2 - 16/7*w**u - 8/7*w**3 = 0.
-2, -2/3, 0
Let q be 0 + 2*(-2)/(-8). Suppose 3*t - 8667 = -8667. Factor q*o + 1/4*o**2 + t.
o*(o + 2)/4
Let b(g) be the third derivative of g**6/20 + 2*g**5/15 + g**4/4 - 5*g**2. Let i(z) = -19*z**3 - 24*z**2 - 19*z. Let h(c) = -7*b(c) - 2*i(c). Solve h(l) = 0.
-1, 0
Let w(t) = -t**3 + t**2 - t - 1. Let y(v) be the first derivative of -4*v - 5/4*v**4 - 2*v**2 + 5 + 4/3*v**3. Let s(q) = -4*w(q) + y(q). Factor s(l).
-l**3
Let q(w) be the third derivative of -w**5/45 - 65*w**4/54 - 28*w**3/9 - w**2 - 265*w. Let q(y) = 0. Calculate y.
-21, -2/3
Suppose -57 + 10302*x - 328*x**2 + 232*x**3 + 9*x**5 - 75*x**4 - 10094*x + 9 = 0. What is x?
2/3, 2, 3
Let n be (-48)/144 + -1*(-26)/6. Factor -28 + 5*v**5 + 33 + 5*v**n + 3*v**2 - 13*v**2 - 10*v**3 + 5*v.
5*(v - 1)**2*(v + 1)**3
Let h be ((-12)/(-10))/(552/920). Suppose -1 + 3/2*v - 3/2*v**3 + 7/2*v**h - 5/2*v**4 = 0. What is v?
-1, 2/5, 1
Suppose 2*c = -2*x + 10, 26*c - 5*x + 25 = 30*c. Let 3/2*t**2 + 0 - 3/2*t**4 + 0*t**3 + c*t = 0. What is t?
-1, 0, 1
Factor 10*t - 14/3 - 4/3*t**2.
-2*(t - 7)*(2*t - 1)/3
Let w(o) = 17*o**2 - 28*o - 60. Let t(s) = 3*s**2 - 2*s. Let g(i) = 4*t(i) - w(i). Factor g(l).
-5*(l - 6)*(l + 2)
Let p(f) be the first derivative of -3*f**4/20 + 11*f**3/5 + 15*f**2/2 + 39*f/5 + 100. Suppose p(r) = 0. What is r?
-1, 13
Let g be (-56)/(-35)*(8 - 171/27). Let -1/3*z**3 + g*z - 1/3*z**2 + 4 = 0. Calculate z.
-2, 3
Let c(d) be the third derivative of d**6/540 - 23*d**5/270 - 17*d**2 + 6*d. Solve c(v) = 0.
0, 23
Let n(k) be the second derivative of 3*k**5/20 - k**4 - 5*k**3/2 - k + 1. Let n(g) = 0. What is g?
-1, 0, 5
Let n(m) be the first derivative of 4*m**3/3 - 54*m**2 + 104*m + 203. What is f in n(f) = 0?
1, 26
Solve 24*l**3 - 1/3*l**4 - 1144/3*l**2 - 5776/3 - 1824*l = 0 for l.
-2, 38
Let x(o) be the third derivative of o**5/330 + 3*o**4/11 + 108*o**3/11 + 35*o**2 + 3. What is c in x(c) = 0?
-18
Let f = -14481/38 + 760051/2090. Let o = f + 240/11. Determine c, given that 22/5*c**4 - o*c**3 + 4/5 + 4*c**5 + 2/5*c - 26/5*c**2 = 0.
-1, -1/2, 2/5, 1
Let y be (4 + (-63)/14)/((-50)/120). Factor y*w**3 + 0 + 0*w**2 - 8/5*w - 2/5*w**4.
-2*w*(w - 2)**2*(w + 1)/5
Let g = 25851/2 + -12921. Factor -g*q - 1/2*q**2 + 5.
-(q - 1)*(q + 10)/2
Find f such that -5/3*f**2 - 40/3*f + 15 = 0.
-9, 1
Let o(s) be the third derivative of -1/3*s**5 - 5/42*s**7 + 5/336*s**8 + 1/3*s**6 + 0*s - 25*s**2 + 0*s**4 + 0 + 0*s**3. Factor o(m).
5*m**2*(m - 2)**2*(m - 1)
Suppose -d - d = -2. Let s(a) = 12*a. Let w be s(d). Factor -5 + w*y + 2 - 4*y**2 - 3 - 2.
-4*(y - 2)*(y - 1)
Let c(z) be the second derivative of 1/12*z**4 + 0*z**5 - 7*z + 0*z**3 - 1/40*z**6 + 1/168*z**7 + 0 + 0*z**2. Solve c(w) = 0.
-1, 0, 2
Let w(b) be the first derivative of -b**4/126 - b**3/63 - 14*b - 38. Let f(k) be the first derivative of w(k). Factor f(h).
-2*h*(h + 1)/21
Suppose 3*a - 2*h = -2*a + 132, -5*h = -4*a + 92. Factor 3*w**2 + 2*w**4 + 2*w**2 - a*w**3 + 10*w**4 + 3*w**2.
4*w**2*(w - 2)*(3*w - 1)
Factor 4*b**2 - 7*b - 49*b + 24*b.
4*b*(b - 8)
Let p(q) = -3*q. Let t be ((-5)/(-10))/((-2)/4). Let i be p(t). Let -3*x**2 - 2*x**2 + i*x**3 - 2*x**4 + 4*x**2 = 0. What is x?
0, 1/2, 1
Let k(v) be the second derivative of -v**5/4 + 385*v**4/6 + 260*v**3 + 193*v. Factor k(f).
-5*f*(f - 156)*(f + 2)
Let g be ((-3)/(-5) - 90/(-100))/9. Let c(k) be the first derivative of k**2 - 2/3*k**3 + g*k**4 - 10 - 2/3*k. Factor c(j).
2*(j - 1)**3/3
Let y(l) be the third derivative of -l**6/180 + l**4/12 + 2*l**3/9 + 5*l**2 - 3*l. Factor y(k).
-2*(k - 2)*(k + 1)**2/3
Suppose 4*o - 5*g - 25 = -4*g, -3*g + 3 = o. Solve -3*d**3 - 3*d**3 + 5*d**3 + 2 + o*d**3 + 12*d**2 + 9*d = 0.
-1, -2/5
Let i(z) be the third derivative of z**7/210 + 11*z**6/360 - 7*z**5/180 - 11*z**4/72 + 2*z**3/9 + z**2 + 182*z. What is r in i(r) = 0?
-4, -1, 1/3, 1
Let r = 433/1314 - 20/73. Let f(c) be the first derivative of -r*c**4 + 2 + 2/9*c + 2/9*c**3 - 1/3*c**2. Solve f(t) = 0 for t.
1
Let o(m) be the third derivative of -m**6/24 + 13*m**5/6 + 5*m**4/24 - 65*m**3/3 - 134*m**2. Factor o(f).
-5*(f - 26)*(f - 1)*(f + 1)
Let n(c) = c**2 + 7*c - 96. Let h be n(-14). Factor -15/7 + 18/7*l - 3/7*l**h.
-3*(l - 5)*(l - 1)/7
Let y = 6 + -2. Suppose -2 + 20 = 6*r. Factor 2*m**2 - r*m + m + 2*m - 2*m**y.
-2*m**2*(m - 1)*(m + 1)
Let l(c) be the first derivative of c**4/4 - c**3/3 - c**2/2 + c + 1. Let n(p) = 4*p**3 + 2*p**2 - 12*p + 6. Let w(o) = -6*l(o) + n(o). Factor w(b).
-2*b*(b - 3)*(b - 1)
Let q(x) be the second derivative of -x**4/8 + x**3/4 + 3*x**2/2 + 71*x. Determine p, given that q(p) = 0.
-1, 2
Let c(h) be the first derivative of -4*h**3/15 + 9*h**2/10 + 9*h/5 - 21. Factor c(z).
-(z - 3)*(4*z + 3)/5
Let k(m) = m**3 - m + 3. Let a be k(0). Suppose -f = a*y - 7, 0 = 2*f + 2*y - 15 + 5. What is l in 0 + 0*l + 0*l**2 - 1/4*l**f - 1/2*l**3 + 1/4*l**5 = 0?
-1, 0, 2
Factor 392/3 + 30*u**2 + 2/3*u**3 - 128*u.
2*(u - 2)**2*(u + 49)/3
Let y(a) be the third derivative of 3*a**6/20 - 29*a**5/30 + 2*a**4 - 4*a**3/3 + a**2 - 18*a. Factor y(g).
2*(g - 2)*(g - 1)*(9*g - 2)
Let o be (-45)/(-10)*(-4)/(-6). Let g(z) = -z**3 + 5*z**2 - 7*z + 7. Let q be g(3). Factor 4*y**3 + o*y**4 + y - 2*y**q + 5*y**2 + y.
y*(y +