ppose -m**2 + 3*m**4 + 6*m**c - 5 + 4*m**2 + 5 = 0. What is m?
-1, 0
Let v(n) = 6*n**4 - 6*n**3 - 18*n**2 - 16*n - 2. Let c(m) = -32*m**4 + 30*m**3 + 90*m**2 + 83*m + 11. Let k(r) = -4*c(r) - 22*v(r). Factor k(y).
-4*y*(y - 5)*(y + 1)**2
Let q = 1238/1485 - 10/297. Let 6/5 - 2*a**2 - q*a = 0. What is a?
-1, 3/5
Let s be (3 - 5)*-4 - 6. Let g(d) be the first derivative of -1/9*d**3 + 1/12*d**s + 0*d - 1 + 1/24*d**4. Suppose g(l) = 0. Calculate l.
0, 1
Let o be (-16)/7*(-558)/744. Factor 3*t - 3/7*t**3 - o - 6/7*t**2.
-3*(t - 1)**2*(t + 4)/7
Let v = -120 - -123. Find a, given that -12*a**v + 9*a**4 + 20*a**3 + 5*a**5 - 13*a**3 + a**4 - 10*a**2 = 0.
-2, -1, 0, 1
Let z(t) = t**3 - 63*t**2 - 269*t + 67. Let g be z(67). Find n such that -15/4*n**2 + 5/4*n**3 + g + 5/2*n = 0.
0, 1, 2
Let q(z) = -z**3 - 5*z**2 + 7*z + 8. Let h be q(-6). Suppose -6*p = -11*p + 15. Solve -7*j**h + p + 6 - 5 + 12*j = 0.
-2/7, 2
Let j(t) = -t**3 + 8*t**2 - 2*t + 4. Let f be j(6). Determine z, given that 17*z + 3*z + f + 12*z + 4*z**2 = 0.
-4
Let p = 6371 - 6367. Let k be (15/(-20))/((-18)/32). Solve -8/3*d + 2/3*d**3 + k - 1/3*d**p + d**2 = 0.
-2, 1, 2
Let f = -202 - -405/2. Let p(l) be the first derivative of -7/5*l**5 - 3/4*l**4 - 5 + 0*l + l**3 + l**2 - f*l**6. Factor p(i).
-i*(i + 1)**3*(3*i - 2)
Let w(n) = -n**3 - 14*n**2 - 2*n - 25. Let b be w(-14). Factor -10*f + 3*f**4 + 6*f + 8*f - 7*f**b.
f*(f - 2)*(f - 1)*(3*f + 2)
Let c(b) = 4*b**2 - b - 2. Let a be c(2). Let d be 23/138 - (-51)/18. Factor 4 - 16*y - 8*y**d + a*y**2 + 24*y**3 - 20 + 4*y**4.
4*(y - 1)*(y + 1)*(y + 2)**2
Let h(p) = -p**2 + 2*p + 2. Let j(m) = -2*m**2 + 4*m + 3. Let t(f) = 9*h(f) - 4*j(f). Let q(b) = 3*b**2 - 7*b - 19. Let u(v) = 2*q(v) + 7*t(v). Factor u(o).
-(o - 2)*(o + 2)
What is d in 8/7*d - 6/7 + 4/7*d**2 - 8/7*d**3 + 2/7*d**4 = 0?
-1, 1, 3
Let g(r) be the first derivative of r**4/22 - 20*r**3/33 - r**2/11 + 20*r/11 - 417. Determine n, given that g(n) = 0.
-1, 1, 10
Let k(c) be the third derivative of c**7/70 - c**6/60 - c**5/15 + c**4/12 + c**3/6 + 60*c**2. Factor k(n).
(n - 1)**2*(n + 1)*(3*n + 1)
Suppose 3*u + 5*z = 31, 50*u + 29 = 52*u + 5*z. Determine t, given that -24*t + 16/3 - 10*t**3 + 92/3*t**u = 0.
2/5, 2/3, 2
Suppose -11*o + 35 - 13 = 0. Let d(j) be the first derivative of 1/3*j + j**3 - 1/3*j**4 + 4 - j**o. Find r such that d(r) = 0.
1/4, 1
Let f(n) be the first derivative of -n**4/4 - 2*n**3 + 32*n + 136. Find l, given that f(l) = 0.
-4, 2
Let w(l) be the third derivative of l**6/160 - 121*l**5/80 + 3599*l**4/32 + 3721*l**3/8 - 2*l**2 + 107. Let w(p) = 0. What is p?
-1, 61
Solve 0*b - 26/17*b**2 + 0 - 2/17*b**3 = 0 for b.
-13, 0
Let p(r) be the third derivative of 0 + 1/60*r**5 + 25/6*r**3 - 5/12*r**4 + 0*r - 5*r**2. Determine c, given that p(c) = 0.
5
Let m be 3*-2*(-9)/(-12). Let q = m - -5. Factor 1/4*o**3 - 1/4*o + 1/2*o**2 - q.
(o - 1)*(o + 1)*(o + 2)/4
Suppose 0 = -12*a + 11*a + 8. Suppose -3*f = -a*f - f. Find d such that -3/4*d - 3/4*d**2 + f = 0.
-1, 0
Let a be ((-585)/260)/(-1*3/(-8)). Let m be a/9*16/(-48). Let -m*x**2 + 2/9 + 0*x = 0. Calculate x.
-1, 1
Let z(v) be the second derivative of 2*v**6/75 + v**5/5 - 4*v**4/15 - 88*v**3/15 - 96*v**2/5 + 2*v - 127. Factor z(k).
4*(k - 3)*(k + 2)**2*(k + 4)/5
Let 0 + 1/2*m**4 - 9*m - 4*m**3 + 21/2*m**2 = 0. Calculate m.
0, 2, 3
Let a(w) = -17*w**3 - w**2 + 11*w + 1. Let h(n) = -52*n**3 - 2*n**2 + 32*n + 2. Let i(f) = -20*a(f) + 6*h(f). Factor i(q).
4*(q - 1)*(q + 1)*(7*q + 2)
Let o = 26681 + -26666. Find c, given that 5/2*c + o*c**3 - 10*c**4 - 10*c**2 + 0 + 5/2*c**5 = 0.
0, 1
Let b(k) = k**2 - 2. Let y be b(2). Solve 14*p**2 + 21*p**y - 7*p**2 - 12*p = 0 for p.
0, 3/7
Let v(z) = z**2 + 4. Let i(g) = -5*g**2 + 8*g - 7. Let t(c) = i(c) + 4*v(c). Suppose t(y) = 0. What is y?
-1, 9
Let b(l) = -l - 7. Let f be b(-10). Suppose f = -o + 8. Factor -2*x**5 - 12*x - x**3 + 3*x**4 - 4*x**o + 7*x**5 - 4 - 11*x**2.
(x - 2)*(x + 1)**3*(x + 2)
Suppose 42 = 7*o + 21. Let v = -128 + 388/3. Factor 44/9*k**2 - v*k**o + 16/9 - 16/3*k.
-4*(k - 2)*(k - 1)*(3*k - 2)/9
Let r(m) be the third derivative of -m**8/112 + m**7/35 + 9*m**6/20 - 17*m**5/5 + 79*m**4/8 - 15*m**3 - 18*m**2 - 2. Determine a, given that r(a) = 0.
-5, 1, 2, 3
Let 0*v - 14/5*v**2 + 0 + 2/5*v**3 = 0. What is v?
0, 7
Let t(u) be the first derivative of 0*u - 1/6*u**4 + 0*u**2 + 2 + 2/9*u**3. Factor t(h).
-2*h**2*(h - 1)/3
Let b(w) = -265*w + 795. Let f be b(3). Factor 2/5*q**2 - 2*q + f.
2*q*(q - 5)/5
Let b = 4923 + -4921. Factor 3*r + 5/3*r**3 - 2/3 - 4*r**b.
(r - 1)**2*(5*r - 2)/3
Let y(a) = a + 4 + 5*a**2 - 14*a - 21*a + 76. Let s(u) = 20*u**2 - 135*u + 320. Let w(i) = 6*s(i) - 25*y(i). Solve w(j) = 0 for j.
4
Let z be -3*(0 + 145/10). Let k = z + 44. Determine i so that -1/2*i**2 + 0 + k*i - 1/2*i**3 + 1/2*i**4 = 0.
-1, 0, 1
Let v(s) be the first derivative of -3*s**5/35 - 9*s**4/28 + s**3 + 45*s**2/14 - 54*s/7 - 177. Let v(w) = 0. What is w?
-3, 1, 2
Let l(n) = n**3 - 12*n**2 + 50*n - 204. Let v be l(9). Factor 0*k**v + 4/9*k**4 - 4/3 + 32/9*k - 8/3*k**2.
4*(k - 1)**3*(k + 3)/9
Let p(x) be the first derivative of x**4/14 + 50*x**3/21 + 143*x**2/7 - 338*x/7 + 47. Factor p(i).
2*(i - 1)*(i + 13)**2/7
Let q be ((-12)/9)/(3*(-10)/45). Factor 0*d**4 + 8*d**q - 20*d**3 + 16*d**4 - 3*d**5 - d**5.
-4*d**2*(d - 2)*(d - 1)**2
Let t(p) = p**4 - p**3 + p**2 - p - 1. Let n(w) = -3*w**4 - 7*w**3 + 12*w**2 - 2*w - 2. Let u(c) = -n(c) + 2*t(c). Factor u(d).
5*d**2*(d - 1)*(d + 2)
Factor -2/13*j**2 + 36/13*j - 64/13.
-2*(j - 16)*(j - 2)/13
Let q(f) = -f + 3. Let g = -42 + 42. Let c be q(g). Factor 1/4*r**5 + 0 + 0*r**c - 1/2*r**2 - 1/4*r + 1/2*r**4.
r*(r - 1)*(r + 1)**3/4
Let g(k) = k**2 + 2*k. Let s(y) = 10*y - 79. Let j be s(8). Let u(o) = -5*o**2 - 9*o + 2. Let p(m) = j*u(m) + 6*g(m). Find x, given that p(x) = 0.
-2, -1
Suppose -5*a - 9 = -4*a - 4*a. Factor -5/4 - 7/4*b**2 - 11/4*b - 1/4*b**a.
-(b + 1)**2*(b + 5)/4
Let m be (6/4)/(1/20). Let d be 2/(-3)*m/(-5). Factor 2*l + 2*l**4 - 2*l**3 - l**d - 3*l**3 - l**2 + 3*l**3.
l*(l - 2)*(l - 1)*(l + 1)
Suppose 2*f + 2*f - 2*n - 8 = 0, n = 2. Factor 5*t - 15*t**f + 0*t + 10*t**4 + 0*t**3 + 0*t**4.
5*t*(t - 1)**2*(2*t + 1)
Let s(l) be the third derivative of 0*l**3 - 24*l**2 + 1/168*l**8 + 1/20*l**6 - 1/3*l**4 + 4/105*l**7 - 2/15*l**5 + 0 + 0*l. Factor s(i).
2*i*(i - 1)*(i + 1)*(i + 2)**2
Factor -243*g**2 + 127*g**2 - 18 + 132*g**2 + 20*g**3 + 2*g**4 - 20*g.
2*(g - 1)*(g + 1)**2*(g + 9)
Determine p so that -3/4*p**2 + 63/2 - 123/4*p = 0.
-42, 1
Factor 25/4*a**2 - 150 - 745/2*a.
5*(a - 60)*(5*a + 2)/4
Let i(h) = -4*h**2 - 337*h + 255. Let y be i(-85). Factor 0*a + y + 1/4*a**2 + 1/4*a**3.
a**2*(a + 1)/4
Let a = 236 + -236. Let d(j) be the third derivative of 0*j**4 - 1/105*j**7 + 0 + 1/60*j**6 + 8*j**2 + 0*j**3 + 1/15*j**5 + a*j. Factor d(g).
-2*g**2*(g - 2)*(g + 1)
Let c = -405 - -242. Let l = 1143/7 + c. Solve -l*o**4 + 0 - 2/7*o**2 + 0*o + 4/7*o**3 = 0.
0, 1
Let y(u) be the second derivative of -u**8/40320 - u**7/15120 + u**4/4 + 4*u. Let g(w) be the third derivative of y(w). Factor g(l).
-l**2*(l + 1)/6
Let l(z) = 5*z**2 - 4*z - 1. Let g(t) = -45*t**2 + 35*t + 10. Let f = -110 + 55. Let m(u) = f*l(u) - 6*g(u). Solve m(a) = 0.
1
Let m(h) be the second derivative of -h + 0 + 1/11*h**3 - 1/22*h**4 + 0*h**2. Find i, given that m(i) = 0.
0, 1
Let l(c) be the second derivative of 0 + 25/54*c**3 + 0*c**2 + 1/378*c**7 + 10/27*c**4 + 9*c + 1/30*c**5 - 4/135*c**6. Factor l(f).
f*(f - 5)**2*(f + 1)**2/9
Find r, given that 0*r + 0 - 1/3*r**4 + 4/3*r**2 + 0*r**3 = 0.
-2, 0, 2
Let i(x) be the third derivative of 0 - 1/112*x**8 + 0*x**3 + 0*x + 17*x**2 - 1/40*x**6 - 3/20*x**5 + 1/4*x**4 + 3/70*x**7. Determine q so that i(q) = 0.
-1, 0, 1, 2
Let s(b) = 10*b + 48. Let m be s(-24). Let w be 1/4 - 272/m. Suppose p**2 + 2/3 - 1/3*p**4 + w*p - 1/3*p**3 = 0. Calculate p.
-1, 2
Factor -368/13*c - 2/13*c**2 - 16928/13.
-2*(c + 92)**2/13
Let i be 23814/5616 + (30/16)/5. Factor -46/13*t**2 + 18/13 + i*t + 8/13*t**3.
2*(t - 3)**2*(4*t + 1)/13
Let t be 0*(-1)/4*2. Let s(z) be the third derivative of -z**2 - 1/112*z**8 - 1/4*z**5 + 0*z**3 + 3/40*z**6 + 1/70*z**7 + 1/4*z**4 + 0*z + t. Factor s(j).
-3*j*(j - 1)**3*(j + 2)
Let q = -5 - -8. Suppose -q = -2*u + 1. Suppos