**6/35 - c**5/35 - 45*c**2. Let u(r) = 0. What is r?
-2, -1, 0
Let i(h) be the second derivative of h**7/21 + 4*h**6/5 + 57*h**5/10 + 67*h**4/3 + 52*h**3 + 72*h**2 - 113*h + 1. Solve i(f) = 0.
-3, -2
Let g(k) = -k**2 + 5*k + 6. Suppose 21 = 5*r - 4. Let w be g(r). Factor -5*d + 1 + w*d - 3*d - 4 + d**2.
(d - 3)*(d + 1)
Let h(v) be the second derivative of -16/5*v**5 + 0 - 6*v**2 - 40/3*v**4 + 46/3*v**3 - 11*v. Factor h(o).
-4*(o + 3)*(4*o - 1)**2
Let r be -6*1/5*65/(-195). Solve -2/15*v**3 - r*v**2 + 2/15*v + 2/5 = 0.
-3, -1, 1
Let b(f) be the first derivative of 2*f**3/9 - 7*f**2 + 76*f/3 - 184. Factor b(q).
2*(q - 19)*(q - 2)/3
Let o(j) = 4*j**2 + 8*j + 13. Let x be o(-3). Suppose 24*c - x*c = -3. Determine m, given that 0*m - 1/2*m**5 + 0*m**4 + 1/2*m**c + 0*m**2 + 0 = 0.
-1, 0, 1
Let p(k) be the first derivative of -k**5/360 + k**4/72 + 2*k**2 + 8. Let x(l) be the second derivative of p(l). Suppose x(v) = 0. Calculate v.
0, 2
Let z(t) = -7*t**4 + 15*t**3 - 6*t**2 - 80*t + 192. Let r(j) = -13*j**4 + 29*j**3 - 13*j**2 - 160*j + 384. Let b(y) = -6*r(y) + 11*z(y). Factor b(u).
(u - 4)**3*(u + 3)
Let s = 101 + -87. Let v be 35/(-28) + s/8. Let v*j**3 - 1/6*j**2 + 1/6 - 1/2*j = 0. Calculate j.
-1, 1/3, 1
Let i(s) be the second derivative of -s**4/21 + 2*s**3/21 + 4*s**2/7 - 40*s + 1. What is k in i(k) = 0?
-1, 2
Let u(r) = r**3 - 31*r**2 - 34*r + 59. Let c be u(32). Let j be c + (-4 - 195/(-21)). Factor 0*m + 2/7*m**2 + j*m**3 + 0 - 2/7*m**4 - 2/7*m**5.
-2*m**2*(m - 1)*(m + 1)**2/7
Factor -3*z - 27/2 + 3/4*z**3 + 27/8*z**2.
3*(z - 2)*(z + 2)*(2*z + 9)/8
Let f be (-15)/(-30) - (-361)/450 - 1. Let h = f - 2/25. Suppose -2/9*c**3 + h*c**2 + 2/9*c - 2/9 = 0. What is c?
-1, 1
Let r(p) be the first derivative of p**6/2 - 4*p**5/5 - 7*p**4/2 - 4*p**3/3 + 3*p**2/2 - 16. Factor r(j).
j*(j - 3)*(j + 1)**2*(3*j - 1)
Factor -2/11*k**3 - 23326/11*k + 22898/11 + 430/11*k**2.
-2*(k - 107)**2*(k - 1)/11
Let s(l) be the first derivative of l**4/6 + l**3 - 48*l - 48. Let n(v) be the first derivative of s(v). What is j in n(j) = 0?
-3, 0
Let c(d) be the first derivative of -3*d**4/4 + 11*d**3 - 57*d**2/2 + 27*d - 40. Factor c(v).
-3*(v - 9)*(v - 1)**2
Factor 175*b**2 + 2*b**4 - 325*b - 10*b**2 + 4*b**4 + 125 - 31*b**3 - 4*b**4.
(b - 5)**3*(2*b - 1)
Let m = -7013 - -91177/13. Solve -4/13*y + 10/13*y**2 - m*y**3 + 2/13*y**4 + 0 = 0 for y.
0, 1, 2
Let y be (-22 + 1856/80)/(4/10). Factor 5/4*c + c**y + 1/2 - 11/4*c**2.
(c - 2)*(c - 1)*(4*c + 1)/4
Let n(i) be the first derivative of i**8/2520 - i**7/525 + i**6/675 + 3*i**3 - 11. Let b(o) be the third derivative of n(o). Factor b(c).
2*c**2*(c - 2)*(5*c - 2)/15
Let i(n) be the second derivative of 1/14*n**3 + 1/140*n**5 - 1/28*n**4 + 9*n + 0 - 3*n**2. Let c(f) be the first derivative of i(f). Factor c(y).
3*(y - 1)**2/7
Let j(q) = 5*q**3 - 55*q**2 + 338*q - 3. Let y(x) = x**3 - x**2 - 1. Let f(i) = j(i) - 3*y(i). Factor f(p).
2*p*(p - 13)**2
Let r be 4*1 + 14/(-7). Factor -10*x**3 + 3*x**5 + 0*x + 3*x + 2*x + r*x**5.
5*x*(x - 1)**2*(x + 1)**2
Suppose -144*p**3 + 33*p**5 + 144/5 - 1272/5*p**2 + 48*p + 309/5*p**4 = 0. Calculate p.
-2, -3/11, 2/5, 2
Let o be -9 - -11 - (-5)/((-5775)/2034). Let y = -2/35 + o. Factor 0 + 0*l + 2/11*l**4 - 2/11*l**5 + y*l**3 - 2/11*l**2.
-2*l**2*(l - 1)**2*(l + 1)/11
Let a(n) be the third derivative of 1/105*n**7 + 0*n + 0*n**3 - 2/15*n**5 + 0 + 0*n**4 + 1/168*n**8 - 39*n**2 - 1/15*n**6. Factor a(d).
2*d**2*(d - 2)*(d + 1)*(d + 2)
Let f(d) be the first derivative of -2*d**3/33 - 34*d**2/11 - 578*d/11 + 467. Factor f(m).
-2*(m + 17)**2/11
Factor d**4 + 0*d**4 + 15 + 4*d**4 - 20*d**2 - 12*d**3 + 22*d**3 - 10*d.
5*(d - 1)**2*(d + 1)*(d + 3)
Let q(i) be the second derivative of i**7/1260 + i**6/270 - i**5/180 - i**4/18 - i**3/3 - 13*i. Let w(z) be the second derivative of q(z). Factor w(u).
2*(u - 1)*(u + 1)*(u + 2)/3
Let g(t) be the third derivative of t**2 - 1/24*t**6 - 13*t + 5/24*t**4 - 5/2*t**3 + 1/4*t**5 + 0. Factor g(o).
-5*(o - 3)*(o - 1)*(o + 1)
Let z(b) = 158*b**4 + 44*b**3 - 286*b**2 - 28*b + 132. Let k(t) = 315*t**4 + 90*t**3 - 572*t**2 - 55*t + 265. Let g(f) = -4*k(f) + 9*z(f). Factor g(m).
2*(m + 1)**2*(9*m - 8)**2
Determine j so that -162 - 9*j - 1/8*j**2 = 0.
-36
Let b(c) be the second derivative of -5*c**4/12 - 275*c**3/3 - 15125*c**2/2 - 140*c. Suppose b(g) = 0. What is g?
-55
What is q in 569*q - 1059 - 1506 + 13145 - 109*q + 5*q**2 = 0?
-46
Let t = -9/274 + 227/2740. Let y(k) be the third derivative of -1/30*k**5 + 7*k**2 + 1/300*k**6 + 3/5*k**3 + 0*k + t*k**4 + 0. Factor y(p).
2*(p - 3)**2*(p + 1)/5
Suppose 8*w - 48 - 80 = 0. Let f be 60/w - (-1 + 4). Solve 3/4*u**2 - 3/2*u + f = 0.
1
Let w(s) be the first derivative of s**4 - 8*s**3 + 16*s**2 - 16. Factor w(g).
4*g*(g - 4)*(g - 2)
Let p(c) be the second derivative of -5*c**4/12 - 245*c**3/3 - 12005*c**2/2 + 4*c + 6. Determine y so that p(y) = 0.
-49
Let d(r) = -14*r**3 - 17*r**2 - 17*r - 17. Let m(h) = -5*h**3 - 6*h**2 - 6*h - 6. Let y(l) = 6*d(l) - 17*m(l). Solve y(f) = 0 for f.
0
Let v(f) = 40*f**3 - 160*f**2 + 160*f. Let d(m) = 5*m**3 - 20*m**2 + 20*m. Let y = -81 - -78. Let x(t) = y*v(t) + 25*d(t). Factor x(r).
5*r*(r - 2)**2
Let s(l) be the first derivative of 0*l + 2/5*l**3 + 4/15*l**2 + 16 + 2/75*l**5 + 1/5*l**4. Factor s(d).
2*d*(d + 1)**2*(d + 4)/15
Let j(t) be the third derivative of 9*t**8/392 - 144*t**7/245 - 39*t**6/35 + 73*t**5/105 + 121*t**4/84 - 34*t**3/21 - 5*t**2 + 2. Determine g so that j(g) = 0.
-1, -2/3, 1/3, 17
Let p(l) = 16*l**3 + 30*l**2 + 8*l - 4. Let j(i) be the second derivative of i**4/12 - 27*i. Let z(v) = 2*j(v) - p(v). Factor z(m).
-4*(m + 1)**2*(4*m - 1)
Suppose -3*v - 3 + 9 = -0. Factor 0 + 2/7*r**v + 6/7*r.
2*r*(r + 3)/7
Let o(i) be the third derivative of i**7/294 - 4*i**6/105 - 23*i**5/420 + i**4/12 - 197*i**2. Find y such that o(y) = 0.
-1, 0, 2/5, 7
Let w(x) = x**3 - 5*x**2 - 3*x - 13. Let s be w(6). Factor -c**5 - 2*c**s + 68*c**3 - 65*c**3.
-3*c**3*(c - 1)*(c + 1)
Let r(z) = z**2 + z - 1. Let g(k) be the third derivative of -k**5/6 - 13*k**4/8 + 69*k**3/2 - 8*k**2 + 1. Let h(v) = 2*g(v) + 22*r(v). Factor h(p).
2*(p - 14)**2
Let o = 111 + -332/3. Let h(n) be the second derivative of -o*n**4 + 4/3*n**3 + 2/21*n**7 + 0 - 3/5*n**5 - n + 2/15*n**6 + 0*n**2. Let h(a) = 0. Calculate a.
-2, -1, 0, 1
Let h(s) = -5*s**2 + 57*s + 50. Let b(y) = -4*y. Let l(t) = 3*b(t) + h(t). Let l(i) = 0. What is i?
-1, 10
Let k(y) be the third derivative of -11*y**2 + 1/150*y**5 + 0*y**3 - 1/300*y**6 + 0*y + 0 + 1/30*y**4. Factor k(m).
-2*m*(m - 2)*(m + 1)/5
Find r such that -2/3*r + 1/9*r**2 + 5/9 = 0.
1, 5
Let w(d) be the second derivative of 0*d**3 - 1/40*d**5 - 2*d + 0 + 0*d**2 + 0*d**4. Factor w(p).
-p**3/2
Suppose s - 3*t = -s - 14, 0 = -s + 2*t - 9. Let p be (5 + s - -3) + -4. Find n such that 4/5*n**2 + 14/5*n**p - 44/5*n**4 + 0 + 0*n = 0.
-2/11, 0, 1/2
Let k(c) = -445*c**3 - c**2 + c + 2. Let g be k(-1). Let h = 4009/9 - g. Let 0 + 2/9*t - 2/3*t**3 + 0*t**2 - h*t**4 = 0. Calculate t.
-1, 0, 1/2
Let q be (18/(-4))/((-123)/82). Solve -3/8*j**4 - 3/8*j**q + 9/8*j**2 - 3/4 + 3/8*j = 0 for j.
-2, -1, 1
Find g, given that -313 - 2*g + 648 - 311 + 0*g**2 - 2*g**2 = 0.
-4, 3
Let q(b) be the second derivative of -b**6/1080 + b**4/72 + 4*b**3/3 - 2*b. Let y(u) be the second derivative of q(u). Factor y(v).
-(v - 1)*(v + 1)/3
Let f be ((-8)/(-14))/(2/7). Suppose 10*s + 5 + 0*s**2 - f + 3*s**2 = 0. What is s?
-3, -1/3
Determine k, given that 33*k + k**5 + 117*k**4 - 4*k**2 - 126*k**4 + 30*k**3 - 27*k**2 - 9 - 15*k**2 = 0.
1, 3
Factor 1/2*j + 1/4*j**4 - 1/2*j**3 + 0 - 1/4*j**2.
j*(j - 2)*(j - 1)*(j + 1)/4
Let a(s) be the first derivative of -1/3*s**3 + 18 - s**2 - s. Factor a(g).
-(g + 1)**2
Let v be (-16)/(-8) - (-2 + 2). Let h = 4831 + -24151/5. Factor -6/5*j + h + 2/5*j**v.
2*(j - 2)*(j - 1)/5
Let v be (-3)/(-1 - 0) - (-16 + 17). Factor -1350 + 2*k - v*k**3 + 1350.
-2*k*(k - 1)*(k + 1)
Determine k, given that -k + 100 + 5*k**2 - k - 43*k = 0.
4, 5
Let p(u) be the second derivative of -u**5/100 - 39*u**4/20 - 1521*u**3/10 - 59319*u**2/10 + 198*u. Factor p(c).
-(c + 39)**3/5
Let n(w) be the first derivative of 2*w**3/15 - 86*w**2/5 + 3698*w/5 - 166. Factor n(x).
2*(x - 43)**2/5
Let o = 1832 + -1830. Solve -20