*w**3 + 1/30*w**4 + 0*w**2 - 3*w + 0 + 1/50*w**5. Factor h(r).
2*r*(r - 1)*(r + 2)/5
Let d be 4 + (7 - (-1 - -10)). Factor 1/3*m - 1/3 + 1/3*m**d - 1/3*m**3.
-(m - 1)**2*(m + 1)/3
Factor 24/5*d + 1/5*d**4 + 8/5*d**3 + 9/5 + 22/5*d**2.
(d + 1)**2*(d + 3)**2/5
Let d(a) = -48*a**2 - 69*a + 222. Let z(f) = 7*f**2 + 10*f - 32. Let c(b) = -4*d(b) - 27*z(b). Factor c(t).
3*(t - 2)*(t + 4)
Let c(p) be the third derivative of p**6/1260 + 11*p**5/210 + 121*p**4/84 - 16*p**3/3 - 21*p**2. Let f(g) be the first derivative of c(g). Factor f(d).
2*(d + 11)**2/7
Let j(r) be the first derivative of 0*r**2 - 33 + 0*r + 3/20*r**5 + 0*r**4 + 0*r**3. What is c in j(c) = 0?
0
Let m = -31012 + 155072/5. Factor -3/5*d**2 - m - 12/5*d.
-3*(d + 2)**2/5
Let m(n) be the second derivative of -2*n**3 - 1/10*n**6 + 0 + 0*n**2 + 3/20*n**5 + n**4 + 4*n. Solve m(v) = 0 for v.
-2, 0, 1, 2
Factor -143 - 32*t - 5*t**2 - 188*t - 141 + 69.
-5*(t + 1)*(t + 43)
Let d(l) be the third derivative of 0 + 1/6*l**4 + 0*l**3 - 11*l**2 + 1/30*l**5 + 0*l - 1/60*l**6. Factor d(k).
-2*k*(k - 2)*(k + 1)
Let z(f) be the third derivative of -f**6/120 + f**5/20 - f**4/12 - 40*f**2. Let z(v) = 0. Calculate v.
0, 1, 2
Let w(r) be the first derivative of r**6/828 + r**5/230 + r**4/276 + 6*r**3 + 37. Let l(c) be the third derivative of w(c). Let l(k) = 0. Calculate k.
-1, -1/5
Let z(m) = 2*m**2 - 56*m + 54. Let q = -183 + 210. Let y be z(q). Factor 2/9*i**3 + 0 + y*i**2 - 2/9*i.
2*i*(i - 1)*(i + 1)/9
Let m be (290/(-812))/(35/(-28)). Factor 12/7 - m*t - 2/7*t**2.
-2*(t - 2)*(t + 3)/7
Let k be (-5 - -9 - (7 + 0)) + 252/16. Find c such that k*c + 9/2 + 7/4*c**3 - 10*c**2 = 0.
-2/7, 3
Let h be 33/(-44) - ((-285)/12)/5. Let z(u) be the third derivative of -1/150*u**5 + 0 - 1/15*u**h - 1/5*u**3 + 7*u**2 + 0*u. Factor z(n).
-2*(n + 1)*(n + 3)/5
Suppose i + 5*q + 16 = 0, 270*i - 2*q = 266*i + 24. Factor 3/4*a**i + 0*a**2 + 0*a - 1/2*a**3 - 1/4*a**5 + 0.
-a**3*(a - 2)*(a - 1)/4
Let v(y) = 4 - y + 6*y - 10*y + 2*y**2. Let f be v(2). Find r such that 4/3*r + 5/6*r**f + 1/6*r**3 + 2/3 = 0.
-2, -1
Let p(g) be the third derivative of 13/84*g**4 - 43*g**2 + 1/140*g**6 + 3/14*g**3 + 0*g + 2/35*g**5 - 1/1470*g**7 + 0. Suppose p(f) = 0. Calculate f.
-1, 9
Let i(x) = x**5 + x**4 - 1. Let y(w) = -18*w**5 - 463*w**4 - 2650*w**3 + 13940*w**2 - 4335*w + 3. Let u(m) = -3*i(m) - y(m). Let u(s) = 0. Calculate s.
-17, 0, 1/3, 3
Let j(a) be the first derivative of 10/9*a**3 - 4/3*a + 16 + 7/3*a**2 - 2/3*a**4. Solve j(y) = 0 for y.
-1, 1/4, 2
Let v be (-64)/(-12) + 6/9. Suppose v*u = -0*u + 36. Solve u + 56*l + 9*l**2 - 44*l - 18 = 0 for l.
-2, 2/3
Let n(v) be the first derivative of -3*v**5/20 + 291*v**4/16 - 792*v**3 + 13440*v**2 - 24576*v - 67. Factor n(j).
-3*(j - 32)**3*(j - 1)/4
Let l(v) be the second derivative of -625*v**5/6 + 1000*v**4/3 - 1280*v**3/3 + 4096*v**2/15 + 130*v. Factor l(q).
-2*(25*q - 16)**3/15
Let p(g) = -2*g - 23. Let u = -50 + 36. Let f be p(u). Determine j, given that 3*j**3 + 2*j**4 + 0 + 1/2*j**f + 2*j**2 + 1/2*j = 0.
-1, 0
Let m(j) be the third derivative of -2*j**7/105 + 4*j**6/5 - 166*j**5/15 + 44*j**4 - 242*j**3/3 - 25*j**2 + 2. What is y in m(y) = 0?
1, 11
Let d = 1585 + -1582. Let 9/2*f + 8*f**2 + 3*f**4 + 7*f**d + 1 + 1/2*f**5 = 0. What is f?
-2, -1
Let j be 1*5/((-5)/2). Let m = j - -18. Factor -v**2 + m + 7*v**2 + 18*v**3 + 2*v**2 + 4*v**2 - 40*v.
2*(v + 2)*(3*v - 2)**2
Let a be 3*10/9 + 0/(-367). Let z(p) be the first derivative of -a*p**3 - 3 + 1/2*p**4 + 3*p**2 + 18*p. Factor z(n).
2*(n - 3)**2*(n + 1)
Let y be -2*(-4)/110*(-115)/(-46). Suppose y*d + 3/11 - 1/11*d**2 = 0. What is d?
-1, 3
Let o(f) = f**3 - f**2 + 1. Let j(v) = -41*v**3 - 1369*v**2 - 1760*v - 576. Let u(d) = j(d) - 4*o(d). Suppose u(n) = 0. What is n?
-29, -2/3
Let n be (-2)/(-2) + 1/11*11. Let i(k) be the second derivative of 2/21*k**4 + n*k - 2/147*k**7 - 4/105*k**6 + 0 + 2/21*k**3 + 0*k**2 + 0*k**5. Factor i(w).
-4*w*(w - 1)*(w + 1)**3/7
Let v be 2/1 - 5/((-20)/(-8)). Let z(r) be the third derivative of -2*r**2 + v*r - 1/270*r**5 + 0 + 0*r**3 + 0*r**4. Find o, given that z(o) = 0.
0
Factor 24*t**3 + 143 + 31*t**3 + 5*t**4 - 43 + 245*t + 195*t**2.
5*(t + 1)**2*(t + 4)*(t + 5)
Suppose -w + 3*z = 8*z - 18, 4*w = 2*z + 6. Suppose 11 = w*l + 5*g + 6, -l = -4*g + 4. Find i such that -2/9*i**4 + l + 0*i + 0*i**2 - 4/9*i**3 = 0.
-2, 0
Let j(l) be the first derivative of 2/21*l**3 - 1/105*l**6 + 6 + 5*l + 1/7*l**2 - 1/35*l**5 + 0*l**4. Let p(m) be the first derivative of j(m). Factor p(r).
-2*(r - 1)*(r + 1)**3/7
Factor -67335/2*z - 1503815/2 - 1005/2*z**2 - 5/2*z**3.
-5*(z + 67)**3/2
What is t in 4/5 + 12/5*t**3 + 4/5*t**4 - 3/5*t - 17/5*t**2 = 0?
-4, -1/2, 1/2, 1
Let u(f) be the first derivative of -f**4/8 + 11*f**3/6 - 31*f**2/4 + 21*f/2 - 373. Factor u(b).
-(b - 7)*(b - 3)*(b - 1)/2
Let h(o) be the third derivative of -1/270*o**5 - 64/27*o**3 + 0*o - 4/27*o**4 - 8*o**2 + 0. Factor h(j).
-2*(j + 8)**2/9
Find d, given that 0 - 1152/5*d + 94/5*d**3 + 1056/5*d**2 + 2/5*d**4 = 0.
-24, 0, 1
Let o(m) be the third derivative of 0*m**3 - 1/150*m**5 - 6*m**2 + 0 + 0*m + 1/60*m**4. Factor o(q).
-2*q*(q - 1)/5
Let -383 + 48*m + 871 - 18*m**2 + 88 + m**3 - 2*m**2 = 0. What is m?
-4, 12
Let a(z) be the third derivative of 6*z**5/65 - 73*z**4/13 + 5329*z**3/39 + 2*z**2 + 27*z. Factor a(j).
2*(6*j - 73)**2/13
Let m(n) be the second derivative of -n**5/100 - 4*n**4/15 - 8*n**3/3 - 64*n**2/5 + 3*n + 29. Suppose m(h) = 0. What is h?
-8, -4
Let f(o) be the first derivative of o**3/21 + 11*o**2/7 - 23*o/7 + 103. Determine w, given that f(w) = 0.
-23, 1
Suppose 0 = 3*k - 1 + 1. Let y(h) be the first derivative of -2/5*h**5 - 1 + 0*h**4 + 2*h**3 - 2*h**2 + k*h. Suppose y(s) = 0. What is s?
-2, 0, 1
Let k(c) = c**4 + c**3 - c**2 - c + 2. Let n(z) = 5*z**4 + 95*z**3 - 475*z**2 + 865*z - 470. Let l(a) = -10*k(a) + n(a). Factor l(t).
-5*(t - 7)**2*(t - 2)*(t - 1)
Let i(j) be the first derivative of 8/3*j**3 - 6 + 0*j - j**4 + 0*j**2. Factor i(o).
-4*o**2*(o - 2)
Let b be 3 + (1*6)/(-2 - (-17)/(-51)). Determine u so that 12/7 + b*u**2 - 15/7*u = 0.
1, 4
Let -8*o**2 + 5*o**4 + 19*o - 15*o**3 + 53*o + 80 - 32*o**2 - 12*o = 0. What is o?
-2, -1, 2, 4
Let v be ((-85)/((-13175)/558))/((-1)/(-110)*21). Find n, given that -v*n + 1089/7*n**2 + 4/7 = 0.
2/33
Let s(j) = j**2 - 45*j + 44. Let n(y) = -4*y**2 + 136*y - 132. Let k(c) = -5*n(c) - 16*s(c). Factor k(i).
4*(i - 1)*(i + 11)
Let b = 10 + -8. Suppose 0 = -5*k + b*k + 69. Let -76*c**2 - 2*c + 16*c**5 + 113*c**3 + 1 - 3 + k*c - 72*c**4 = 0. What is c?
1/4, 1, 2
Let m = 768 - 2300/3. Let h(c) be the first derivative of 0*c**2 + 0*c - 2/3*c**6 + 2 - m*c**3 + c**4 + 4/5*c**5. Suppose h(k) = 0. What is k?
-1, 0, 1
Let 38/7*c**2 - 2/21*c**3 - 522/7*c - 1682/21 = 0. Calculate c.
-1, 29
Let v(o) = -2*o**2 + 22*o + 25. Let j(l) = -3*l**2 + 26*l + 25. Let p(r) = 3*j(r) - 4*v(r). Factor p(x).
-(x + 5)**2
Let h(j) be the first derivative of 0*j**5 - j**3 + 0*j - 1/40*j**6 + 3/8*j**4 - 5 - 1/2*j**2. Let b(u) be the second derivative of h(u). Factor b(z).
-3*(z - 1)**2*(z + 2)
Let h = 739653/9590 - -21/1370. Solve -810/7*c - h*c**2 - 30/7*c**4 - 2/7*c**5 - 486/7 - 180/7*c**3 = 0 for c.
-3
Suppose 0 = -218*b + 174 + 262. Factor -1/2*u**b - 2 - 2*u.
-(u + 2)**2/2
Let s(o) be the third derivative of 0*o + 0 - 1/90*o**5 + 20*o**2 - 1/360*o**6 + 0*o**3 + 1/630*o**7 + 0*o**4. Factor s(m).
m**2*(m - 2)*(m + 1)/3
Let v = -296601/11 - -26965. Let 18/11*n**2 - 4/11 + v*n = 0. What is n?
-1, 2/9
Let m be (-26)/(-65) + 1 + 7/(-5). Suppose -3*u - 10 = -d - 3*d, m = 2*d - 8. Factor 2*q**4 - 2/3*q**5 + u*q - 4/3*q**3 - 4/3*q**2 - 2/3.
-2*(q - 1)**4*(q + 1)/3
Suppose 5*n + 1575 = 1595. Let t(y) be the second derivative of 1/12*y**3 + 0*y**2 + 1/40*y**5 + 6*y + 0 + 1/12*y**n. What is g in t(g) = 0?
-1, 0
Let g(n) = n**2 + 83*n - 927. Let a be g(10). Factor 3/4 + 1/8*z**a - 3/4*z**2 - 1/8*z.
(z - 6)*(z - 1)*(z + 1)/8
Let s(l) be the second derivative of 0*l**2 + 0 + 0*l**3 - 1/21*l**4 - 6*l - 1/35*l**5. Determine z, given that s(z) = 0.
-1, 0
Determine i, given that -26871 - 3*i**2 + 116*i + 2*i**2 + 5846 - 406*i = 0.
-145
Let m(n) be the first derivative of -n**3/18 + 29*n**2/6 - 841*n/6 + 593. Factor m(s).
-(s - 29)**2/6
Let t(d) be