9)/(-270) - (28/4 - 1095/150). Let h be 2/(-3)*4/(-8). Factor -q**3 + r*q**2 + 0*q + 0 + h*q**4.
q**2*(q - 2)*(q - 1)/3
Suppose d - 6*i - 23 = -i, -d - 22 = 4*i. Let r = 7 + d. What is p in 1 - r + 2 - 2*p**2 + 11*p - 7*p = 0?
1
Suppose -h - 10 = -6*h. Let t(a) be the second derivative of -2*a + 1/3*a**3 + 0 - 1/12*a**4 - 1/2*a**h. Solve t(r) = 0.
1
Let d(y) = 13*y**4 - 29*y + 25*y**3 + 17 - 12*y + 348*y**2 - 413*y**2. Let z(s) = 2*s**4 + 4*s**3 - 11*s**2 - 7*s + 3. Let b(v) = 6*d(v) - 34*z(v). Factor b(u).
2*u*(u - 1)*(u + 2)*(5*u + 2)
Let l = 271/207 + -25/23. Factor -2/9*g**5 + l*g**3 - 2/9*g**4 + 0 + 0*g + 2/9*g**2.
-2*g**2*(g - 1)*(g + 1)**2/9
Let c(j) be the second derivative of 0 + 2/7*j**2 + 1/21*j**3 - 1/42*j**4 + 16*j. Find z such that c(z) = 0.
-1, 2
Let r(d) = -55*d**2 - 275*d + 3. Let o be r(-5). Let f(t) be the second derivative of -7*t + 0 + 2/27*t**4 + 2/9*t**2 - 5/27*t**o - 1/90*t**5. Factor f(n).
-2*(n - 2)*(n - 1)**2/9
Suppose 0 = 9*w + 24 - 6. Let q be 4/(-5)*(12/8 + w). Factor -1/5*l**5 + 8/5*l**2 + 7/5*l - 2/5*l**4 + q + 2/5*l**3.
-(l - 2)*(l + 1)**4/5
Let m = -17 - -17. Factor -8 + m - 15*y**3 - 12*y + 19*y**3.
4*(y - 2)*(y + 1)**2
Suppose 0*c = -4*c + 36. Suppose 2*i - c = -i. Determine a so that -a**4 + 25*a**2 - 12 - 3*a**5 - 4*a**2 + 3*a**i - 4*a**4 - 4*a**4 = 0.
-2, -1, 1
Suppose -s - 2*i + 50 = 29, 2*s + 3 = i. What is m in 0 - 6/7*m**2 + 0*m - 2/7*m**s = 0?
-3, 0
Suppose -27*a + 26*a + 2 = 0. Factor 3*u - 17*u**a + u + 21*u**2 - 3*u**3.
-u*(u - 2)*(3*u + 2)
Factor 336*m**2 + 80/3 - 49/3*m**3 - 188*m.
-(m - 20)*(7*m - 2)**2/3
Let m = -6946 - -34734/5. Solve -m*h**3 + 12/5*h**2 - 8/5 - 4/5*h**4 + 4/5*h = 0 for h.
-2, -1, 1
Find g such that 0 - 50*g + 5/2*g**3 - 20*g**2 = 0.
-2, 0, 10
Let a = 16 - 13. Suppose 7*c - 11*c = 0. Suppose 10*f + 28*f**2 + 20*f**4 + 4*f**5 - 2*f + c*f**5 + 36*f**a = 0. What is f?
-2, -1, 0
Let p = -47 - -67. Let o be 9/p + 11/(-55). Factor -o*j**3 + 0 + 1/4*j**4 + 1/4*j - 1/4*j**2.
j*(j - 1)**2*(j + 1)/4
Let c = 1 + -1. Suppose c = -4*m + 2*j + 2*j, -3*j = 5*m - 16. Factor 4 + m*u**3 - 2*u**4 - 2*u - 6 + 3*u**3 - 2*u**5 - u**3 + 4*u**2.
-2*(u - 1)**2*(u + 1)**3
Let b(k) = -4*k**2 - 62*k - 20. Let y be b(-15). Let q be (-8)/(-12)*(y/8 + 1). Find a such that 0 + q*a**4 - 3*a + 9/2*a**3 - 3/2*a**5 - 3/2*a**2 = 0.
-1, 0, 1, 2
Let v(r) be the third derivative of -r**6/120 - 11*r**5/12 + r**4/24 + 55*r**3/6 + 6*r**2 - 13. Factor v(q).
-(q - 1)*(q + 1)*(q + 55)
Factor -4/3*p**2 + 0*p - 1/6*p**3 + 0.
-p**2*(p + 8)/6
Let x(k) = -k - 6. Let z be x(-6). Suppose -4*p + 16 = -z*p. Factor -14*c**2 + p - 18*c**3 - 18*c - 14*c + 4 + 56*c**2.
-2*(c - 1)*(3*c - 2)**2
Let z(c) = c**3 - c**2 + c + 1. Let m(d) = 11*d**3 + 24*d**2 + 6*d + 6. Let v(i) = m(i) - 6*z(i). Factor v(l).
5*l**2*(l + 6)
Let i(s) be the third derivative of -s**4/24 + 2*s**3 + 2*s**2. Let a be i(10). Suppose 11*n - 1 + 1 + 15*n**a - 5*n + 12*n**3 + 3*n**4 = 0. Calculate n.
-2, -1, 0
Let i(z) be the third derivative of -z**9/1008 + z**8/560 + z**7/280 - z**6/120 - 7*z**3/6 + 5*z**2. Let w(m) be the first derivative of i(m). Factor w(t).
-3*t**2*(t - 1)**2*(t + 1)
Factor 0 + 0*i - 6/7*i**3 - 6/7*i**4 - 2/7*i**5 - 2/7*i**2.
-2*i**2*(i + 1)**3/7
Let z be 2/8 + (-15)/(-12). Let h(b) be the first derivative of 0*b - z*b**4 + 0*b**2 + 2 - b**3. Factor h(y).
-3*y**2*(2*y + 1)
Let n(t) be the second derivative of -t**7/462 - t**6/110 + t**5/20 + 9*t**4/44 - 5*t**3/33 - 12*t**2/11 - 34*t + 1. Determine a, given that n(a) = 0.
-4, -2, -1, 1, 3
Let z(a) be the third derivative of -5*a**2 + 0*a**4 - 1/60*a**5 + 1/60*a**6 + 0*a**3 - 1/210*a**7 + 0*a + 0. Solve z(w) = 0.
0, 1
Let z = 6529/26460 - 12/49. Let c(q) be the third derivative of -3*q**2 - z*q**6 - 1/270*q**5 + 0*q + 0*q**3 + 0*q**4 + 0. Determine f so that c(f) = 0.
-1, 0
Let q(g) be the third derivative of -g**5/480 + g**4/12 - 13*g**3/16 + 35*g**2. Factor q(b).
-(b - 13)*(b - 3)/8
Let w(r) = -r**3 - r - 1. Let j(i) = -3*i**3 + 23*i**2 - 122*i - 146. Let o(u) = -j(u) + 2*w(u). Factor o(y).
(y - 12)**2*(y + 1)
Let k(u) be the second derivative of -1/3*u**3 - 22*u - 1/3*u**4 - 1/21*u**7 + u**2 + 0 + 1/15*u**6 + 1/5*u**5. Find y such that k(y) = 0.
-1, 1
Let x(k) = -k**3 + 24*k**2 + 32*k - 28. Let n be x(25). Let v = n - 145. Determine r, given that -4/9 + 0*r**v + 2/9*r**3 - 2/3*r = 0.
-1, 2
Let p(m) be the second derivative of -3*m**7/112 - m**6/6 - 7*m**5/16 - 5*m**4/8 - 25*m**3/48 - m**2/4 + 427*m. Find s, given that p(s) = 0.
-1, -4/9
Let i be 0 + (21 - ((-16)/(-4) + -2)). Let i - 2*l - 3*l**3 - 6*l**2 - 19 - 2*l**4 - 3*l**3 = 0. What is l?
-1, 0
Let c(d) be the third derivative of d**5/210 + 19*d**4/84 + 6*d**3/7 + 7*d**2 - d. Factor c(h).
2*(h + 1)*(h + 18)/7
Suppose -115*n + 110*n = 1800. Let c = 1808/5 + n. Find q, given that -c*q**3 + 8/5*q + 2/5*q**4 + 6/5*q**2 - 8/5 = 0.
-1, 1, 2
Let j be (-3 - 2)*(64/(-8) - -7). Let g(o) be the third derivative of 6*o**2 - 2/15*o**4 + 0*o - 16/15*o**3 + 0 - 1/150*o**j. Factor g(r).
-2*(r + 4)**2/5
Let i(n) be the third derivative of 0 + 2*n**2 + 0*n + 0*n**4 + 0*n**3 + 1/60*n**5 + 1/840*n**7 - 1/120*n**6. What is t in i(t) = 0?
0, 2
Let p be (9/(-21))/((-9)/2). Let m = -27926 - -586448/21. Solve -m*z**2 + 0 + p*z = 0.
0, 1
Determine p so that 60*p**2 + 37*p**4 + 31*p**4 - 86*p**4 + 36*p + 28*p**3 + 22*p**4 = 0.
-3, -1, 0
Let j(g) be the third derivative of -g**8/672 - 11*g**7/1680 - g**6/960 + 13*g**5/480 + 5*g**4/192 - g**3/24 + 224*g**2 - 2. Let j(u) = 0. What is u?
-2, -1, 1/4, 1
Suppose 0 = 5*l + 2*f + 3 - 18, 3*f = -3*l. Factor 20*u**3 + l*u**5 - 35*u**3 + 2*u**2 - 12*u**2.
5*u**2*(u - 2)*(u + 1)**2
Let x(m) be the third derivative of 5/12*m**4 + 7/12*m**5 - 1/6*m**7 + 0 + 0*m**3 + 0*m - 1/12*m**6 + 2*m**2. What is j in x(j) = 0?
-1, -2/7, 0, 1
Let q = 144/5 - 1151/40. Let d(r) be the third derivative of 0 - 1/15*r**3 - 1/300*r**5 + r**2 + q*r**4 + 0*r. What is j in d(j) = 0?
1, 2
Let k(y) = 2*y - 6*y - 4*y - 6. Let l(o) = -o**2 - 1. Suppose 5*n - n = 2*h, 0 = -3*h - n - 7. Let b(p) = h*l(p) - k(p). Factor b(s).
2*(s + 2)**2
Determine r so that 16/5*r - 3 - 1/5*r**2 = 0.
1, 15
Let z(a) be the second derivative of -a**4/84 + 4*a**3/21 + 3*a + 9. Factor z(b).
-b*(b - 8)/7
Suppose 4*z - 12 = 28. Factor -92*t + 2*t**2 + 10*t**3 + z + 76*t - 2 - 2*t**5 - 2*t**4 + 0*t**5.
-2*(t - 1)**3*(t + 2)**2
Let j(a) = a**4 + 11*a**3 + 5*a**2 - 11*a - 6. Let u(o) = -2*o**4 - 12*o**3 - 5*o**2 + 12*o + 7. Let c(d) = 3*j(d) + 4*u(d). Solve c(g) = 0.
-2, -1, 1
Let g(o) = o**2 - 1. Let r be g(3). Factor 20*p**2 - 8 - 5*p + r*p**3 - 4*p + 13*p.
4*(p + 1)*(p + 2)*(2*p - 1)
Let j be 6/27 + (-10)/45. Let v(z) be the second derivative of j*z**2 + 1/36*z**4 - 1/9*z**3 + 2*z + 0. Factor v(w).
w*(w - 2)/3
Let g(o) be the third derivative of o**7/210 - o**6/60 - o**5/15 + o**4/12 + o**3/2 - 2*o**2 + 118*o. Factor g(d).
(d - 3)*(d - 1)*(d + 1)**2
Let t(d) be the second derivative of d**6/120 + 41*d**5/80 + 91*d**4/8 + 539*d**3/6 - 343*d**2 + 924*d. What is q in t(q) = 0?
-14, 1
Suppose 3*i + 5 = 4*i. Factor 8 + 10 - i*y**2 - 18 + 15*y**3.
5*y**2*(3*y - 1)
Let m be ((-7)/((-154)/(-121)))/(11/(-4)). Determine p so that -12 - 30*p**3 - 279/2*p**m - 81*p = 0.
-4, -2/5, -1/4
Suppose -4*o + w = -179, 4*o - 149 = 5*w + 10. Factor 45*t**5 - 2*t**4 + 4*t**2 + t**3 - 2*t**2 - o*t**5.
-t**2*(t - 1)*(t + 1)*(t + 2)
Let w(i) be the third derivative of -i**5/30 + i**4/3 - i**3 + 37*i**2. Factor w(x).
-2*(x - 3)*(x - 1)
Let y(c) be the third derivative of -c**6/80 + c**5/40 + c**4/8 - 11*c**2 + 3*c. Suppose y(w) = 0. Calculate w.
-1, 0, 2
Let c be -3*(-9)/(-45) + 15/25. Let p be (0 + -6)/(3/(-2)). Find v such that 0*v + 1/4*v**p - 1/4*v**3 + c*v**2 + 0 = 0.
0, 1
Let h(f) be the third derivative of -5*f**8/336 - 3*f**7/14 - f**6/8 + 73*f**5/12 - 20*f**4 + 30*f**3 + 19*f**2 + 4. Determine x, given that h(x) = 0.
-6, 1
Let r(u) be the second derivative of 14*u + 1/72*u**4 + 0*u**2 + 0 - 1/36*u**3. Determine p, given that r(p) = 0.
0, 1
Solve -2/9*m**5 + 32/9*m**2 - 16/9 + 4/9*m**3 - 16/9*m**4 - 2/9*m = 0.
-8, -1, 1
Let j(g) = g**2 - 16*g + 55. Let x be j(5). What is w in 0*w - 8/3*w**3 + 4*w**4 + x + 0*w**2 - 4/3*w**5 = 0?
0, 1, 2
Let w(k) be the third derivative of -k**11/66528 - k**10/756