5*g**m - 16*g**2 + 25 - 20*g = 0.
-5, 1
Let z(v) = -4*v**2 - 22*v + 20. Let d(m) = -5*m**2 - 22*m + 19. Let j(l) = 3*d(l) - 4*z(l). Find t such that j(t) = 0.
-23, 1
Let l be (-2)/(((-12)/28)/(-3)). Let q = -2 - l. Determine u so that 5 - 3 - q*u + 16*u**2 - 7 + 1 = 0.
-1/4, 1
Let p(f) be the second derivative of 2/21*f**3 - 1/35*f**5 + 9*f + 4/21*f**4 - 8/7*f**2 + 0. Factor p(h).
-4*(h - 4)*(h - 1)*(h + 1)/7
Let v(x) be the first derivative of -2*x**3/39 + 90*x**2/13 - 178*x/13 - 87. Suppose v(d) = 0. Calculate d.
1, 89
Let h(c) = -3*c**2 - 6*c. Let v be h(0). Factor v*z + 1/2*z**2 + 0*z**3 + 0 - 1/2*z**4.
-z**2*(z - 1)*(z + 1)/2
Determine a, given that 135/4*a - 18*a**2 + 3/4*a**3 - 33/2 = 0.
1, 22
Let p = -8642 - -8644. What is b in 2/9*b**p - 2/9*b**3 - 2/9 + 2/9*b = 0?
-1, 1
Let b(v) = 2*v**4 - v**3 - v**2 + v + 2. Let z(j) = -3*j**4 + 41*j**3 - 42*j**2 - 59*j + 30. Let d(g) = 3*b(g) - 3*z(g). Solve d(k) = 0.
-1, 2/5, 2, 7
Suppose 28*k - 6696 = -6668. Factor 3/4*c**2 - c - k + c**3 + 1/4*c**4.
(c - 1)*(c + 1)*(c + 2)**2/4
Let a = -78 + 56. Let d = a + 25. Let -8/5*c**2 - 2/5*c**d - 2*c - 4/5 = 0. Calculate c.
-2, -1
Let j(f) = -f**3 + 5*f**2 + 30*f - 112. Let h be j(7). Solve -5/6*q**5 + 7/6*q**3 - 1/3*q + h + 1/2*q**2 - 1/2*q**4 = 0 for q.
-1, 0, 2/5, 1
Let i(x) = -7*x**2 + 4*x - 1. Let b(c) be the first derivative of 19*c**3 - 33*c**2/2 + 9*c + 2. Let w(u) = 4*b(u) + 33*i(u). Factor w(v).
-3*(v - 1)*(v + 1)
Let h(a) = a**3 - 8*a**2 + 8*a - 5. Let t be h(7). Factor -1 + 4*q + 2*q - 3*q**2 - t.
-3*(q - 1)**2
Let u be 1 - (-10)/3*1/(-5). Let c(v) be the second derivative of 2*v + 0 - 1/20*v**5 - u*v**2 + 1/9*v**4 + 1/18*v**3. Factor c(f).
-(f - 1)**2*(3*f + 2)/3
Let d be (-6 + 6)/(2/(-2)). Let j be 3 - d - (-1 - 0). Factor 3*p + 5*p**2 - 1 - 2*p**3 + 0 - 4*p**j - p**3.
-(p - 1)*(p + 1)**2*(4*p - 1)
Let g(j) be the first derivative of -j**3/5 - 9*j**2/10 + 6*j + 3. Find h such that g(h) = 0.
-5, 2
Suppose 75*k + 85 = -25*k + 585. Solve 0*r + 0*r**2 + 0*r**4 - 3/7*r**3 + 0 + 3/7*r**k = 0.
-1, 0, 1
Let o(k) be the third derivative of -k**6/900 - k**5/300 - 8*k**3/3 + 7*k**2. Let z(p) be the first derivative of o(p). Let z(c) = 0. What is c?
-1, 0
Let w(l) be the second derivative of -l**8/20160 + l**7/7560 + l**6/2160 - l**5/360 + 5*l**4/3 + 12*l. Let q(s) be the third derivative of w(s). Factor q(p).
-(p - 1)**2*(p + 1)/3
Let m(k) be the first derivative of 3*k**4/16 + 2*k**3 + 21*k**2/8 - 59. Factor m(x).
3*x*(x + 1)*(x + 7)/4
Find q, given that 27/4*q**3 + 1/4*q**4 - 87/4*q**2 + 89/4*q - 15/2 = 0.
-30, 1
Let o(v) = -5*v**3 + 40*v**2 - 99*v + 56. Let s(n) = -20*n**3 + 160*n**2 - 395*n + 225. Let h(a) = 15*o(a) - 4*s(a). Let h(f) = 0. Calculate f.
1, 3, 4
Suppose -3*f + 75 = 2*f. Let w be 9/6*20/f. Suppose -1/5*z**3 + 0*z + 0*z**w + 0 = 0. Calculate z.
0
Suppose 5*h - 27 + 7 = 0. Let g be -1 + 1 + -2 - (-1360)/340. Factor -n**g + 2 - h*n + 8*n + 3*n**2.
2*(n + 1)**2
What is b in -2/3*b**5 + 14/5*b**3 - 98/15*b**2 + 16/15*b + 26/15*b**4 + 8/5 = 0?
-2, -2/5, 1, 3
Suppose 0 = -4*q + 28 - 12. Suppose 0 = -u + x - 3, -17 = 15*u - 11*u - 5*x. Factor -30*v**u - 3*v + q*v + 29*v**2.
-v*(v - 1)
Let n be (-112)/(-18) - (-2)/(-9). Factor 2 + 6*i - n + i**3 - 5*i**2 + 4.
i*(i - 3)*(i - 2)
Let k(h) be the first derivative of 10/3*h**3 + 18 - 35/6*h**6 + 0*h**2 - 12*h**5 + 0*h - 15/4*h**4. Factor k(r).
-5*r**2*(r + 1)**2*(7*r - 2)
Suppose 5*k = 3*d + 16, k - 5 = -0*k. Solve -3*r**2 - 4*r**3 - 2*r**3 + 4*r**d - 3*r**2 - 4*r = 0 for r.
-2, -1, 0
Let a = 8 - 5. Suppose -c - 2*o - 3*o + 29 = 0, 4*o = 20. Solve 3/4*k**2 - 7/8*k**a - 1/4 + 1/4*k**c + 1/8*k = 0.
-1/2, 1, 2
Suppose -12 = -f + 4*g, 2*f - 4*g - 18 + 2 = 0. Factor 3*b + 7*b - f*b - 2*b**2 - 4.
-2*(b - 2)*(b - 1)
Let m be (-7)/(-35)*5/4. Let y(o) be the second derivative of -m*o**4 + 0 + 0*o**2 - 4*o + 0*o**3. Factor y(b).
-3*b**2
Let i(z) = -z**2 + 5*z + 8. Let t be i(6). Let y = -13 + 15. Factor 3*d - 2*d**2 - y*d**t - 4*d**4 - 3*d**3 + 10*d**2 - 2*d**4.
-3*d*(d - 1)*(d + 1)*(2*d + 1)
Let a be 15/(-225)*(-36)/2. Suppose -2/5*g**3 + 0 - a*g**4 + 2/5*g + 6/5*g**2 = 0. What is g?
-1, -1/3, 0, 1
Let i(w) be the second derivative of 2*w**2 + w**3 - 1/15*w**6 + 5*w + 0 - 3/10*w**5 - 1/6*w**4. Factor i(j).
-2*(j - 1)*(j + 1)**2*(j + 2)
Factor 0*z + 0 - z**3 - 1/2*z**2 - 1/2*z**4.
-z**2*(z + 1)**2/2
Let t(g) be the second derivative of 10/3*g**3 + 0 - 6*g - 25*g**2 - 1/6*g**4. Factor t(a).
-2*(a - 5)**2
Let d be (6/4)/((-17)/(-34)). Suppose -4 = -d*g + 2. Factor 2/5*m + 2/5*m**g - 2/5 - 2/5*m**3.
-2*(m - 1)**2*(m + 1)/5
Let w be -2 + 2 - (-6)/(-2). Let b(h) = h**2 + 3*h + 3. Let q be b(w). Find n such that 7*n**4 - n**4 - 3*n**5 + 0*n + q*n - 6*n**2 = 0.
-1, 0, 1
Let b be 28/(-168) - (-40)/(-6) - -7. Factor -5/6*d + 1/2 + b*d**2 + 1/6*d**3.
(d - 1)**2*(d + 3)/6
Let i(j) be the first derivative of j**4/30 + 14*j**3/45 + j**2 + 6*j/5 + 88. Factor i(h).
2*(h + 1)*(h + 3)**2/15
Let m(p) be the third derivative of 1/15*p**6 + 0 + 0*p + 0*p**4 - 2/105*p**7 + 12*p**2 - 1/15*p**5 + 0*p**3. Factor m(s).
-4*s**2*(s - 1)**2
Let f(a) = 2*a**2 + 2*a**2 - a - 5*a**2. Let z(i) = 15*i - 3*i**2 + 8*i**2 - 26*i + 15*i. Let n(q) = -18*f(q) - 4*z(q). Factor n(w).
-2*w*(w - 1)
Factor -16/9 + 2/9*g**2 - 14/9*g.
2*(g - 8)*(g + 1)/9
Let m be (-264)/(-10) - 18/(-30). Suppose 26 = f - m. Factor -5*d**2 + 12 - f*d + 49*d + 4*d**3 - 7*d**2 + 0*d**3.
4*(d - 3)*(d - 1)*(d + 1)
Let b be 132/88 - (27/15)/(28/10). Solve -2/7 - b*n - 6/7*n**2 - 2/7*n**3 = 0 for n.
-1
Let s(x) be the third derivative of 0*x - 10/3*x**3 - 15/8*x**4 - 1/24*x**6 - 1/2*x**5 + 31*x**2 + 0. Solve s(o) = 0 for o.
-4, -1
Let t = 16758/27905 + -3/5581. Find x such that -2/5*x**2 + t*x**3 - 1/5*x**4 + 0 + 0*x = 0.
0, 1, 2
Determine l, given that -58 + 11*l + 79 + 6*l**2 + 43*l - 9*l = 0.
-7, -1/2
Suppose -5*u = -2*o - 148, -4*u - 58 + 180 = 2*o. Let p be 10/(-25) + 52/u. Solve 2/3*k - 4/3 - 2/3*k**3 + p*k**2 = 0.
-1, 1, 2
Suppose -3*t = -o - 2, -4*o = t - 6*o - 4. Let f(x) be the third derivative of -7/96*x**4 - 1/12*x**3 + 0 + t*x + 3/80*x**5 + 8*x**2. What is r in f(r) = 0?
-2/9, 1
Let t(z) = -16*z**2 - 35*z - 11. Suppose -3*i - 10*i = -65. Let g(y) = 88*y**2 + 192*y + 60. Let s(p) = i*g(p) + 28*t(p). Find v, given that s(v) = 0.
-2, -1/2
Let s = 221098 + -99715270/451. Let l = s + 14/41. Find d such that 0 + 2/11*d**4 + 0*d + 0*d**2 + l*d**3 = 0.
-1, 0
Let k(c) be the first derivative of 1/20*c**4 + 7/2*c**2 + 0*c + 6 + 3/100*c**5 + 0*c**3 + 1/200*c**6. Let i(b) be the second derivative of k(b). Factor i(n).
3*n*(n + 1)*(n + 2)/5
Let s = -24 - -29. Suppose -2*w - w = -3, -5*u = s*w - 15. Solve 1 - 4 - b + 3*b**u + 3 = 0.
0, 1/3
Let v(n) be the second derivative of -1/120*n**5 + 0*n**3 + 1/252*n**7 + 0 - 1/180*n**6 - 29*n + 1/72*n**4 + 0*n**2. Factor v(r).
r**2*(r - 1)**2*(r + 1)/6
Suppose 4*l = 3*t + 48 - 46, 5*t + 4*l - 18 = 0. Factor -2/5*v**4 - 8/5*v**t + 8/5*v**3 + 0*v + 0.
-2*v**2*(v - 2)**2/5
Determine o so that 37*o**2 + 380*o + 38*o**2 - 73*o**2 + 18050 = 0.
-95
Let p be -1*(-2 - -3)*-5. Suppose 0 = -y - g + 1, -3*g + p*g - 2 = -3*y. Find t, given that -8 + 0*t**3 - 4*t**3 + y*t**3 + 3*t**2 + 16*t - t**2 = 0.
-2, 1/2, 2
Let o(n) = n**2 - n - 86. Let j be o(-9). Let c(b) be the second derivative of 1/3*b**2 - 1/60*b**5 + b + 1/9*b**j + 0 - 5/18*b**3. Factor c(x).
-(x - 2)*(x - 1)**2/3
Suppose 3*j + 7 = 10. Suppose -5*x - j = -16. Find z, given that -7*z**3 - 34*z**5 + 28*z**5 + x*z**2 + 16*z**3 - 3*z - 3*z**4 = 0.
-1, 0, 1/2, 1
Let g = -539/39 + 83/6. Let s(k) be the second derivative of g*k**4 - 1/13*k**2 - k + 0*k**3 + 0. Determine v, given that s(v) = 0.
-1, 1
Suppose -29 = 5*d - 19, -4*d = -2*t + 14. Factor -1/3*r**2 + 0*r + 0 + 16/3*r**5 - 8*r**4 + t*r**3.
r**2*(r - 1)*(4*r - 1)**2/3
Let z(g) be the second derivative of 2*g**7/21 - 2*g**6/3 + g**5 + 5*g**4/3 - 4*g**3 + 653*g. Suppose z(d) = 0. Calculate d.
-1, 0, 1, 2, 3
Let y(z) be the first derivative of -z**7/245 + z**6/210 + z**5/210 - 5*z**2/2 + 3. Let w(q) be the second derivative of y(q). Let w(o) = 0. Calculate o.
-1/3, 0, 1
Let b(z) be the first derivative of -z**3/6 + 7*z**2/8 + 11*z/2 - 27. Factor b(w).
-(w + 2)*(2*w - 11)/4
Let k be -7 - ((-38)/6 + -88 + 86). Let -k + 8/3*w + w**3 + 11