y be 8/(-2)*15/d. Let 0 + 1/3*b**y - 1/3*b = 0. What is b?
0, 1
Let n(z) = 2 + 31*z + 17*z**2 + 6*z**2 - 1. Let p(b) = -11*b**2 - 15*b - 1. Let l(j) = -3*n(j) - 7*p(j). Factor l(w).
4*(w + 1)*(2*w + 1)
Let o(t) be the third derivative of -2*t**7/35 + 89*t**6/40 - 331*t**5/10 + 212*t**4 - 192*t**3 - 125*t**2. Determine p so that o(p) = 0.
1/4, 6, 8
Let f be (-22)/(-8)*5/(-15) - -1. Let h(n) be the second derivative of 0 - f*n**4 - 1/40*n**5 - 6*n + 0*n**2 + 0*n**3. Let h(z) = 0. What is z?
-2, 0
Let g(o) be the second derivative of -o**9/75600 + o**7/4200 - o**6/1800 + o**4/6 - 4*o. Let a(y) be the third derivative of g(y). Factor a(i).
-i*(i - 1)**2*(i + 2)/5
Let g be (-3)/1 - (-7)/1. Suppose b**4 + 4*b**3 + 2*b**5 - 3*b**g - 8*b**3 = 0. Calculate b.
-1, 0, 2
Find a such that 9/2 + 69/4*a - 3*a**3 - 15/4*a**2 = 0.
-3, -1/4, 2
Let z(s) be the third derivative of 169*s**5/90 - 13*s**4/9 + 4*s**3/9 + 2*s**2 + 32*s. Find k such that z(k) = 0.
2/13
Suppose -5 - 2*w**5 + 66*w**4 + 45 + 62*w**3 + 72*w - w**5 - 20*w**5 - 226*w**2 + 9*w**5 = 0. What is w?
-2, -2/7, 1, 5
Suppose -2*b - 4*o = -2*o + 30, -2*o = -2*b - 18. Let l(d) = -d - 8. Let p be l(b). Let -12*k**2 + 2*k**4 + 7*k**p - 6*k**5 + 3*k**5 = 0. Calculate k.
-1, 0, 2
Let n be (-374)/(-44) + 6/(-4). Suppose -n*d + 6 = -4*d. Factor 24*h + 2*h**3 - 16 + 2*h**2 - 3*h**d - 4*h**2 - 7*h**2.
2*(h - 2)**3
Let f(x) be the first derivative of x**9/756 - 2*x**7/105 - x**6/45 + x**5/10 + x**4/3 + 3*x**3 + 27. Let a(n) be the third derivative of f(n). Solve a(b) = 0.
-1, 1, 2
Let y(q) be the second derivative of 2*q**7/21 + 4*q**6/5 + 8*q**5/5 - 2*q**4 - 6*q**3 - 272*q + 1. Factor y(j).
4*j*(j - 1)*(j + 1)*(j + 3)**2
Suppose -49*i - 15 = -52*i. Factor -4*b - 8*b - i*b**2 - 5 + 2*b.
-5*(b + 1)**2
Let o = -2166 + 2166. Solve 1/3*i**4 + o - 1/3*i**5 - 2/3*i - 1/3*i**2 + i**3 = 0.
-1, 0, 1, 2
Let s(z) = -4*z**2 + 3*z + 3. Suppose 33*i = 29*i - 12. Let l be 5/2*(2 - 0). Let m(a) = -7*a**2 + 5*a + 5. Let p(c) = i*m(c) + l*s(c). Factor p(q).
q**2
Let o be -17 + -12 + 2 + 1. Let c be (o/(-39))/(12/81). Factor -1/2*g**2 - c - 3*g.
-(g + 3)**2/2
Let b(i) = 1. Let g(m) be the second derivative of m**4/6 + m**3/3 - 6*m**2 + 14*m. Let r(v) = 12*b(v) + g(v). Solve r(k) = 0 for k.
-1, 0
Let v(n) = 3*n + 18. Let q = 92 + -98. Let w be v(q). Let -1/5*f**5 + w*f**3 + 0*f + 0*f**2 + 0 - 1/5*f**4 = 0. What is f?
-1, 0
Let v(l) be the second derivative of l**5/100 - l**4/12 - 80*l. Factor v(m).
m**2*(m - 5)/5
Let d be 3/2*(56/6)/7. Factor -1/4*j**d - j - 3/4.
-(j + 1)*(j + 3)/4
Let z = 10 - 10. Suppose z = 3*k - 5*k + 6. Find n, given that 27 + 8*n**2 + 61*n**3 - 60*n**k + n**2 + 27*n = 0.
-3
Let p(s) be the first derivative of -s**6/240 + s**4/16 + 20*s**3/3 - 5. Let j(f) be the third derivative of p(f). Factor j(b).
-3*(b - 1)*(b + 1)/2
Suppose 11/3*q - 10 + 34/3*q**2 - 4*q**3 + 1/3*q**5 - 4/3*q**4 = 0. What is q?
-3, -1, 1, 2, 5
Let v(x) be the first derivative of x**2/2 - 4*x - 7. Let g be v(8). Solve 4/3 - 1/6*b**g + 2/3*b - b**2 - 5/6*b**3 = 0 for b.
-2, 1
Suppose 0 = 160*n - 166*n + 30. Let p(t) be the second derivative of 0*t**2 + 0 + 3/4*t**n + 2*t**4 + 2*t**3 + 1/10*t**6 - 6*t. Factor p(j).
3*j*(j + 1)*(j + 2)**2
Let j be 2474/(-20)*2 - (-33)/(-55). Let n = -248 - j. Solve 2/5*d**3 + n - 6/5*d**2 + 4/5*d = 0.
0, 1, 2
Let r = -1821 - -1825. Let u be (-208)/(-39)*(-6)/(-4). Find p such that -68/3*p**2 + 16/3 + 16/3*p**r - u*p + 2*p**5 - 6*p**3 = 0.
-2, -1, 1/3, 2
Let n(y) = -6*y**2 + 2*y - 13. Let z(f) = f**2 - f + 1. Suppose -9*c + 18 = -0. Let x(d) = c*n(d) + 14*z(d). Solve x(i) = 0 for i.
-1, 6
Let 52*h - 128*h - 562*h**2 + 209 + 55 + 558*h**2 = 0. What is h?
-22, 3
Let o(s) be the first derivative of -s**5/3 - 25*s**4/2 - 120*s**3 - 495*s**2 - 945*s + 213. Solve o(q) = 0 for q.
-21, -3
Let z be 1 + (1 - (-24)/6). Let o be -4 + (13 - z) + -1. Find j such that 0 + 3/2*j**3 + 0*j - 3*j**o = 0.
0, 2
Let c(o) = -2*o + 12. Let m be c(5). Factor 137*u**m + 7*u - 4*u + u**3 - 141*u**2.
u*(u - 3)*(u - 1)
Let m(k) = -k**2 - 7*k - 10. Let z be m(-4). Solve -9*w - 4 - z*w**3 + 0*w + 10 + 5*w**3 = 0.
-2, 1
Suppose -3*j - 7 = -c + 1, 0 = 4*c - 8. Let u(v) = -3*v**2 + 6*v - 1. Let a(w) = -w**2 - 1. Let i(t) = j*u(t) + 2*a(t). Let i(s) = 0. What is s?
0, 3
Suppose 5*p + 20 = 5*g, 1 = -2*g - 5*p + 2. Suppose 0 = -5*u - x - 4, 3*u + u + g*x = -12. Determine r so that -1/4*r**2 + 0*r + u + 1/4*r**3 = 0.
0, 1
Let o(p) be the second derivative of -p**6/225 + 23*p**5/150 - 19*p**4/15 + 212*p**3/45 - 136*p**2/15 - 701*p. Factor o(a).
-2*(a - 17)*(a - 2)**3/15
Let m(z) be the first derivative of -z**6/18 + z**5/5 + 17*z**4/12 + z**3 - 8*z**2/3 - 4*z - 39. Let m(t) = 0. What is t?
-2, -1, 1, 6
Let s(j) be the second derivative of -3*j**6/10 + 4*j**3 + 18*j. Let z(t) = 2*t**4 - 5*t. Let l(p) = 5*s(p) + 24*z(p). Factor l(i).
3*i**4
Solve 146/13*k**2 - 60/13*k + 0 + 220/13*k**3 + 14/13*k**4 = 0.
-15, -1, 0, 2/7
Let j be ((-2)/(-12))/(65/1170). Suppose 15/4*a**2 + 3/4*a**3 + j*a + 0 = 0. What is a?
-4, -1, 0
Factor -2/11*f**3 - 64/11 - 100/11*f - 38/11*f**2.
-2*(f + 1)*(f + 2)*(f + 16)/11
Suppose -5*d + 8*d - 33 = 0. Let y be 1*(-4 + 1 - d/(-3)). Factor 0 - y*k**2 + 0*k + 2/3*k**3.
2*k**2*(k - 1)/3
Factor 8/7*t**2 - 130/7 - 74*t.
2*(t - 65)*(4*t + 1)/7
Let d = 8074/3609 - 6/401. Let x be 1/3 - (-5)/3. Solve 20/9*a**3 + 2/9 + d*a**x + 10/9*a + 2/9*a**5 + 10/9*a**4 = 0.
-1
Let m be 135/90*(-8)/(-6). Let k(o) be the first derivative of 0*o**2 - m + 1/6*o**4 - 1/9*o**3 + 0*o - 1/15*o**5. Factor k(w).
-w**2*(w - 1)**2/3
Solve 16*j**4 - 4*j**5 + 155*j**3 - 16*j**2 - 87*j**3 - 76*j**3 + 12*j = 0.
-1, 0, 1, 3
Let o(s) be the third derivative of -2*s**7/315 + s**6/45 + s**5/15 - 4*s**4/9 + 8*s**3/9 + s**2. Solve o(b) = 0 for b.
-2, 1, 2
Suppose -2*a + 135 = 3*a. Let u be (-9)/a + 86/6. Factor -12*x**3 + 19 - u - 21*x**5 + 5*x + 6*x**5 - 58*x**3 - 55*x**4 - 30*x**2.
-5*(x + 1)**4*(3*x - 1)
Let r(a) be the second derivative of a**5/4 + 35*a**4/6 + 85*a**3/2 + 135*a**2 - 9*a + 13. Determine u, given that r(u) = 0.
-9, -3, -2
Let r(u) be the second derivative of 0*u**2 + 1/12*u**4 - 13*u + 0 + 1/20*u**5 - 1/30*u**6 - 1/6*u**3. Let r(j) = 0. What is j?
-1, 0, 1
Let o = 34 + -19. Determine v, given that 5 - 10*v**3 + 2*v**3 - o + 8*v + 2*v**2 + 8 = 0.
-1, 1/4, 1
Let q = 2879 + -2877. Factor a - 3/2*a**q + 0 + 1/2*a**3.
a*(a - 2)*(a - 1)/2
Let n = -53099/100 + 531. Let c(d) be the second derivative of -27/10*d**2 - 3/20*d**4 - n*d**5 + 0 - 9/10*d**3 + 6*d. Factor c(w).
-(w + 3)**3/5
What is j in -111*j + 3/2*j**2 + 219/2 = 0?
1, 73
Let j(d) be the second derivative of -12*d + 3/5*d**5 + 0 + 2/5*d**6 + 1/14*d**7 - 3*d**2 - 1/2*d**4 - 5/2*d**3. Let j(x) = 0. What is x?
-2, -1, 1
Let o(g) be the second derivative of g**4/36 + 5*g**3/36 - 7*g**2/12 - 163*g. Factor o(s).
(s - 1)*(2*s + 7)/6
Find i, given that 12 + 20/3*i + 1/3*i**2 = 0.
-18, -2
Suppose 19*u - 238 = -15*u. Let a(v) be the third derivative of -u*v**2 + 0*v - 1/20*v**5 + 0 - 1/4*v**4 + 3/2*v**3. Factor a(y).
-3*(y - 1)*(y + 3)
Let x(u) be the first derivative of u**4/22 - 244*u**3/33 + 3596*u**2/11 + 15376*u/11 - 473. Factor x(g).
2*(g - 62)**2*(g + 2)/11
Suppose 3 = g - 4. Suppose 0 = -m - 3*h - 7, -4*m - g = -0*m + 5*h. Find a such that -3*a - m*a - 9*a**5 - a + 3*a**4 - 3*a**2 - 4*a**3 + 19*a**3 = 0.
-1, -2/3, 0, 1
Let s = 64/5 + -13. Let k = s + 8/15. Find x, given that 0*x + 0 - k*x**2 + 1/6*x**3 = 0.
0, 2
Factor -428*w**3 - 156 - 458*w**3 + 734*w**3 - 4*w**4 + 160*w**2 + 132*w + 20*w.
-4*(w - 1)**2*(w + 1)*(w + 39)
Let o be ((-4004)/130)/((-24)/50). Let s = o - 1877/30. Factor 0 + 8/5*z**2 - 22/5*z**3 - 12/5*z**4 + 18/5*z**5 + s*z.
2*z*(z - 1)**2*(3*z + 2)**2/5
Let x(b) be the third derivative of b**7/210 + b**6/40 + b**5/60 - b**4/8 - b**3/3 - 99*b**2. Solve x(f) = 0 for f.
-2, -1, 1
Let h be -7 + -20 + 25 + 13/6. Let 1/6*l + 0 + h*l**2 = 0. Calculate l.
-1, 0
Factor -304/5*c**2 + 20 + 6/5*c**3 + 198/5*c.
2*(c - 50)*(c - 1)*(3*c + 1)/5
Let k = -79 - -82. Let i = 3 - k. Factor 10/3*z**4 - 2*z**2 + 11/3*z**3 + 0 + i*z.
z**2*(2*z + 3)*(5*z - 2)/3
Let m = -4/91 - -8/13. Let x = m - -100/21. Solve -x*s + 8*s**2 + 4/3*s**4 + 4/3 - 16/3*s**3 = 0 for s.
1
Suppose -107*b - 34*b + 9*b + 528 = 0. S