106*u**2 + 6.
3*u*(u - 55)*(u - 1)
Let l(h) be the first derivative of 1 - 1/60*h**5 - 1/9*h**3 + 0*h - 4*h**2 + 5/72*h**4. Let q(k) be the second derivative of l(k). Factor q(j).
-(j - 1)*(3*j - 2)/3
Let z(a) = -4*a + 47. Let w be z(11). Factor -2/3*h**2 + 0 + 0*h + 0*h**w + 2/3*h**4.
2*h**2*(h - 1)*(h + 1)/3
Let t(a) be the third derivative of a**5/60 - 17*a**4/24 - 3*a**3 + a**2 - 6*a. What is c in t(c) = 0?
-1, 18
Let i(s) be the first derivative of -4/5*s**5 + 0*s**3 - 10 - 4*s**2 + 2*s**4 + 4*s. Let i(w) = 0. What is w?
-1, 1
Let u = -2864 - -20050/7. Solve -4/7*f + 2/7*f**2 + u = 0.
1
Let b = 30489 - 30487. Determine v so that 2/5*v + 4/5 - 2/5*v**b = 0.
-1, 2
Let s be (-1 - 1/2)/(2/(-4)). Suppose 0 = 3*m + 5*r + 10, m - 4*r + s = 11. Let 1/2*u**5 + 0*u - 1/2*u**3 + m - 1/2*u**2 + 1/2*u**4 = 0. Calculate u.
-1, 0, 1
Let l be 2/1*2 - (-2 - -3). Factor -4*h**2 + 69*h**l - 35*h**3 - 36*h**3 - 2*h.
-2*h*(h + 1)**2
Let n be (28 + 2)/(-6)*(18 - 1). Let z = n + 262/3. Find i, given that -z*i**3 + 0*i + 0 + 2/3*i**2 = 0.
0, 2/7
Let j(z) be the first derivative of 24/5*z**2 + 17 + 4/15*z**3 + 144/5*z. Factor j(w).
4*(w + 6)**2/5
Let o(x) be the first derivative of -x**5/2 - 15*x**4/8 - 5*x**3/2 - 5*x**2/4 + 138. Factor o(p).
-5*p*(p + 1)**3/2
Let p be (5/2 + -2)*20. What is o in -2 + 34*o**2 - p*o**3 + 12 - 4*o**4 + 9*o - 47*o + 8*o**2 = 0?
-5, 1/2, 1
Suppose 3*j - 5 - 13 = 0. Factor -j*c**2 - 3*c**5 + 9*c**3 - 475*c**4 + 475*c**4.
-3*c**2*(c - 1)**2*(c + 2)
Let d(t) be the third derivative of t**6/600 + t**5/4 + 57*t**4/5 - 722*t**3/15 + 2*t**2 + 122*t. Suppose d(p) = 0. Calculate p.
-38, 1
Let u(q) be the first derivative of 4*q**2 + 4*q - 3 + 4/3*q**3. Suppose u(n) = 0. Calculate n.
-1
Let y(r) be the second derivative of 34*r + 0 - 2*r**2 - 94/27*r**4 + 32/9*r**3 - 10/27*r**6 + 16/9*r**5. Factor y(z).
-4*(z - 1)**2*(5*z - 3)**2/9
Let 140*u**3 - 50 - 51*u - 34*u - 145*u**3 - 40*u**2 = 0. Calculate u.
-5, -2, -1
Let x(k) be the first derivative of k**5/30 - 7*k**4/24 + 17*k**3/18 - 17*k**2/12 + k - 78. Factor x(z).
(z - 3)*(z - 2)*(z - 1)**2/6
Suppose 0 = -3*l + 4*w + 3, l - 2*w - 1 = -5*w. Let y(n) = 9*n**3 + 18*n**2 + 6*n + 6. Let r(x) = -x**3 - x**2 + x - 1. Let s(h) = l*y(h) + 6*r(h). Factor s(v).
3*v*(v + 2)**2
Let s(r) be the first derivative of r**5/180 + 5*r**4/36 + 25*r**3/18 - 3*r**2/2 + 13. Let a(z) be the second derivative of s(z). Factor a(p).
(p + 5)**2/3
Let z(p) = 8*p - 31. Let y be z(9). Determine x so that 1665*x**4 - 9 - 980*x**3 - 238*x**2 + y + 80*x - 293*x**4 - 266*x**2 = 0.
-2/7, 2/7, 1
Let u be (8771/196 + -46)/(5*2/(-16)). What is v in -78/7*v**u - 8/7*v**4 - 58/7*v**3 + 16*v + 32/7 = 0?
-4, -1/4, 1
Let y(g) = g**2 - g + 2. Let h(x) = 20*x**4 - 248*x**3 + 632*x**2 - 212*x - 8. Let t(m) = h(m) + 4*y(m). Solve t(b) = 0.
0, 2/5, 3, 9
Determine y so that 0*y + 2/5*y**2 + 0 + 2/15*y**4 - 2/15*y**5 + 2/3*y**3 = 0.
-1, 0, 3
Let k be (2 + 10/(-4))*56/(-21). Suppose 0 = -3*s + 13 + 2, 0 = -3*f - 5*s + 31. Factor 0 + k*b - 2/3*b**f.
-2*b*(b - 2)/3
Let i(y) be the first derivative of 3*y**4/16 + 3*y**3/2 - 771. Factor i(k).
3*k**2*(k + 6)/4
Factor 92/3*c + 88/3 + 4/3*c**2.
4*(c + 1)*(c + 22)/3
Let x be 46/(-10) + (-12)/30. Let t = 7 + x. Find c, given that -4 + 28*c**4 - 2*c + 8*c**5 - 6*c + 2*c**t + 32*c**3 + 6*c**2 = 0.
-1, 1/2
Let g(d) be the third derivative of -1/12*d**3 + 1/32*d**4 - 1/240*d**5 - 18*d**2 + 0 + 0*d. Factor g(m).
-(m - 2)*(m - 1)/4
Suppose -6*i + 15 = -i. Suppose 0*s - 4*s + 78 = 3*b, -92 = -5*s - b. Let s*x - 18*x + i*x**2 - 3*x**4 = 0. Calculate x.
-1, 0, 1
Let c be -1*((-21)/10)/((-6)/(-8)). Factor 0*k + 4/5*k**2 - c*k**3 + 0.
-2*k**2*(7*k - 2)/5
Suppose 100 = -x - 4*x. Let r be (-1)/x + 11/55. Factor 0*c**2 - 1/4*c + r*c**3 + 0.
c*(c - 1)*(c + 1)/4
Factor 2*w**4 + 4*w**3 + 781*w**2 - 3*w**5 - 395*w**2 - w**3 + w**4 - 389*w**2.
-3*w**2*(w - 1)**2*(w + 1)
Let i be 308 - (3 - 0) - 3. Let y = i + -160. Find w such that -176*w**2 + 152*w**3 + 50*w + y*w**3 + 58*w - 139*w**2 - 12 = 0.
2/7, 1/2
Determine u so that -255*u**2 - 12*u + 513*u**2 + 3*u**3 - 251*u**2 - 4*u**3 = 0.
0, 3, 4
Let m be 12/(-9)*-6 - -1. Let a be 6/(-5)*(-30)/m. Factor -2*j**4 + 3*j - j - 2*j**3 + 6*j**2 - 4*j**a.
-2*j*(j - 1)*(j + 1)*(3*j + 1)
Let j(w) = 9*w - 24. Let y be j(5). Let l be 8/(-14) - (6 + (-150)/y). Suppose l - 1/7*a**2 + 0*a = 0. Calculate a.
-2, 2
Let j be (16/32)/((2 + 0)/(-148)). Let c = 39 + j. Let -1/3*h**c + h - 2/3 = 0. Calculate h.
1, 2
Let x be (-6)/8*(-3426)/63. Let b = 83/2 - x. Let -2/7*z - b*z**2 + 0 = 0. Calculate z.
-2/5, 0
Let -96*z + 4*z**3 - 473 - 4*z**2 + 20*z**3 - 4*z**4 + 409 = 0. Calculate z.
-1, 4
Let p(k) be the first derivative of 1/9*k**3 + 169/3*k - 2 - 13/3*k**2. Suppose p(i) = 0. Calculate i.
13
Let j = -9733 - -48669/5. Factor j*r**3 - 2/5 + 2/5*r**5 - 4/5*r**2 - 6/5*r + 6/5*r**4.
2*(r - 1)*(r + 1)**4/5
Let k be (-96)/(-8) - 6 - 3*1. Let j(s) be the first derivative of 2/39*s**k - 1 + 0*s - 2/13*s**2. Factor j(d).
2*d*(d - 2)/13
Suppose 8*j - 286 = -86. Suppose -20*r = -25*r + j. Factor 0 + 0*s - 1/2*s**3 - 1/2*s**4 + 1/2*s**r + 1/2*s**2.
s**2*(s - 1)**2*(s + 1)/2
Suppose 5*t + 35 = f + 4*f, 0 = -2*f + 3*t + 13. Suppose -4*a + 6*l - 2*l - f = 0, 5*a + 2 = l. Factor a*o + 2/5*o**3 + 0 - 2/5*o**2.
2*o**2*(o - 1)/5
Let w(s) be the third derivative of s**8/2240 - s**7/360 - s**6/120 + 7*s**4/24 - 12*s**2. Let k(j) be the second derivative of w(j). Factor k(d).
d*(d - 3)*(3*d + 2)
Let i be 8/12 - (-26)/(-48). Let d(j) be the first derivative of 1/6*j**3 - 5 - 1/16*j**4 + 0*j - i*j**2. Find n such that d(n) = 0.
0, 1
Let z be ((-39)/52)/((-2)/24). Solve -5*q**4 + 7*q**2 - 4*q**2 + 4*q**5 + 2*q**4 - z*q**3 + 5*q**5 = 0 for q.
-1, 0, 1/3, 1
Suppose 3*l + 43 - 4 = 0. Let n = 16 + l. Let -3*x**2 + 7*x**2 - 12*x + 2*x**2 + 9*x**n - 15*x**4 + 3*x**5 + 9*x**2 = 0. Calculate x.
-1, 0, 1, 4
Find z, given that -83*z**2 - 26*z**4 + 80*z**3 - 125*z**2 - 2304 + 22*z**4 - 1920*z = 0.
-2, 12
Let k(h) = 30*h**3 + 21*h**2 - 192*h + 54. Let n(z) = 60*z**3 + 42*z**2 - 385*z + 108. Let u(t) = -7*k(t) + 3*n(t). Factor u(o).
-3*(o - 2)*(o + 3)*(10*o - 3)
Let q = 212 - 223. Let x be -2 + q/(385/(-90)). Factor 0 - x*h**2 - 2/7*h**3 - 2/7*h.
-2*h*(h + 1)**2/7
Let d(b) be the first derivative of b**7/280 - b**6/40 + 3*b**5/40 - b**4/8 + 50*b**3/3 + 3. Let q(v) be the third derivative of d(v). Factor q(n).
3*(n - 1)**3
Suppose 0 = 28*v - 30*v + 4. Factor 3*r + 2*r + 20*r**v + 7*r**3 - 30 - 2*r**3.
5*(r - 1)*(r + 2)*(r + 3)
Suppose p - 3 = -l + 7, -4*p + 2*l + 28 = 0. Factor 12*w**4 - 2*w**4 - p*w**3 - 30*w**4.
-4*w**3*(5*w + 2)
Let d be (7/2)/(1/(-34)). Let z be 70/17 - (-14)/d. Factor 6*b**2 + 6*b - z*b**2 - 4*b**2.
-2*b*(b - 3)
Let m(g) = 8*g**2 - 11*g - 30. Let n(c) = -95*c**2 + 130*c + 360. Let o(i) = 35*m(i) + 3*n(i). Factor o(p).
-5*(p - 3)*(p + 2)
Factor 2/3*b**4 + 350/3*b - 10*b**2 - 14/3*b**3 - 500/3.
2*(b - 5)**2*(b - 2)*(b + 5)/3
Let l(k) be the first derivative of -k**6/420 + k**5/105 + k**4/84 - 2*k**3/21 + 2*k**2 + 7. Let x(v) be the second derivative of l(v). Solve x(f) = 0.
-1, 1, 2
Let b be 3/(0 + -3)*-5. Suppose -b*l - 24 = -11*l. Factor 5*q**2 + 17*q - 5*q**4 - q**3 - 12*q - l*q**3.
-5*q*(q - 1)*(q + 1)**2
Let l = -709 + 2128/3. Factor -2/3*m + 0 + l*m**3 - 1/3*m**2.
m*(m - 2)*(m + 1)/3
Determine r, given that -1/2*r**3 - 2178 - 2112*r + 131/2*r**2 = 0.
-1, 66
Let t(w) be the second derivative of -w**4/60 - w**3/2 + 8*w**2/5 - 4*w + 12. Solve t(b) = 0.
-16, 1
Let r(w) be the first derivative of 8*w - 9*w**2 - 4 - 1/2*w**4 + 4*w**3. Factor r(x).
-2*(x - 4)*(x - 1)**2
Let w be -7 + 1 - (-3 - (-140)/(-40)). Factor 5/2*h - w*h**2 - 3.
-(h - 3)*(h - 2)/2
Find k, given that -4/5*k**4 + 0 + 16/5*k**3 + 4/5*k**2 - 16/5*k = 0.
-1, 0, 1, 4
Let d(f) = -30*f**3 - 80*f**2 + 30*f + 55. Let j(h) = -5*h**3 - 13*h**2 + 5*h + 9. Let g(m) = 4*d(m) - 25*j(m). Factor g(k).
5*(k - 1)*(k + 1)**2
Let f(i) = 3*i**2 - 4*i. Let d be f(2). Let m be 4/d + 2*2. Factor 10*n**2 + 6*n**3 - 4*n**2 - 9*n**4 + 3 - 9*n + 3*n**m + 0*n**2.
3*(n - 1)**4*(n + 1)
Solve -2/7*r**2 + 6/7 - 4/7*r = 0.
-3, 1
Solve -686*j + 16*j**2 - 2*j**2 - 30 + 278 + 92 + 1880*j = 0.
-85, -2/7
Suppose -3*l + 8 - 2 = 4*b, -2*b = l. Let m be (-1)/(-1)*6/8*l. Factor 1/