mine u, given that c(u) = 0.
-1, 1, 2
Solve -3 + r**2 - 2 - 4*r**3 + 3*r**2 + 4*r + 1 = 0 for r.
-1, 1
Let r(i) = -i**3 + 3*i**2 + 3*i - 1. Let z(l) = -2*l**3 + 7*l**2 + 7*l - 2. Let f(m) = -15*r(m) + 6*z(m). Solve f(t) = 0 for t.
-1, 1
Let h(o) be the first derivative of o**6/27 - 2*o**5/45 - 6. Factor h(i).
2*i**4*(i - 1)/9
Let d be (-476)/12 + 4/(-2). Let n = d + 42. Factor -2/3*i**2 + 2/3 - 1/3*i**3 + n*i.
-(i - 1)*(i + 1)*(i + 2)/3
Let r(q) be the third derivative of -q**7/70 + q**6/20 - 2*q**2. Factor r(l).
-3*l**3*(l - 2)
Determine r, given that -1/2 + 0*r + 1/2*r**2 = 0.
-1, 1
Let p(m) = -m**3 + 12*m**2 - 10*m + 1. Let z be p(11). Let j be (z/20)/(3/2). Factor 2/5*k**3 + j*k**4 - 2/5*k - 2/5*k**2 + 0.
2*k*(k - 1)*(k + 1)**2/5
Let c(v) be the third derivative of v**8/84 - v**6/30 + 11*v**2. Suppose c(t) = 0. What is t?
-1, 0, 1
Let h(w) be the third derivative of 1/3*w**3 + 1/30*w**5 + 0*w + 1/6*w**4 + 0 + w**2. Let h(z) = 0. Calculate z.
-1
Suppose -k + 2*k = -3*j + 3, 5*k = 2*j - 2. Let r be 42/(-18) - (-3 - k). Factor -1/3*a - 1/3*a**2 + r.
-(a - 1)*(a + 2)/3
Let f = -27 + 83/3. Let v be 24/90 - 3*(-6)/45. Factor v*i**2 - 2/9*i**3 - f*i + 2/9.
-2*(i - 1)**3/9
Let w(y) = -3*y**3 - 2*y**2 + 3*y. Let t be -2*2*12/16. Let q(n) = -4*n**3 - 3*n**2 + 4*n. Let v(d) = t*w(d) + 2*q(d). Factor v(l).
l*(l - 1)*(l + 1)
Let g(p) = 2*p - 3. Let y be g(3). Suppose -y*s - 6 = -18. Find a such that -2*a**2 - a**s + 0*a**4 + a**3 + 3*a**2 - a = 0.
-1, 0, 1
Suppose 0*a + 3*a - y - 10 = 0, 0 = 4*a + 2*y. Let z(x) be the first derivative of -x - 4/3*x**3 - 2 - a*x**2. Solve z(s) = 0.
-1/2
Let u = 513 + -510. Factor -2/9*r**u + 0 + 0*r - 2/9*r**2.
-2*r**2*(r + 1)/9
Let j(v) be the first derivative of 1 - 1/6*v**2 - 1/3*v + 1/6*v**4 - 1/15*v**5 + 2/9*v**3 - 1/18*v**6. Factor j(y).
-(y - 1)**2*(y + 1)**3/3
Suppose -12*z + 13*z - 1 = -2*o, 4*z - 12 = -4*o. Factor 2/7*j**z - 2/7*j**4 - 2/7*j**3 + 0 + 2/7*j**2 + 0*j.
2*j**2*(j - 1)**2*(j + 1)/7
Let q(v) be the first derivative of -v**4/12 - v**3/9 + v**2/6 + v/3 + 11. Factor q(k).
-(k - 1)*(k + 1)**2/3
Let l(o) = o - 7. Let n be l(9). Factor 0*i**4 + 4*i + n - 3*i**4 - 4*i**3 + i**4.
-2*(i - 1)*(i + 1)**3
Let n(t) be the third derivative of -5*t**8/168 + t**7/6 - t**6/3 + t**5/6 + 5*t**4/12 - 5*t**3/6 - 5*t**2. Factor n(p).
-5*(p - 1)**4*(2*p + 1)
Let y(z) be the third derivative of -4*z**2 + 1/100*z**5 - 1/120*z**4 - 1/200*z**6 + 0*z**3 + 0 + 0*z + 1/1050*z**7. Suppose y(x) = 0. Calculate x.
0, 1
Let n(c) = c**3 + 6*c**2 - 8*c - 4. Let o be n(-7). Factor 2*u**2 + 3*u**5 + u**4 + u**3 - 4*u**5 - o*u**2.
-u**2*(u - 1)**2*(u + 1)
Suppose 28/5*j**4 + 4/5 + 6/5*j**5 + 22/5*j + 48/5*j**2 + 52/5*j**3 = 0. Calculate j.
-1, -2/3
Let m(v) = v**4 + v**3 - 3*v**2 + v. Let i(h) be the first derivative of -4*h**5/5 - h**4/2 + 3*h**3 - 3*h**2/2 + 3. Let o(r) = 2*i(r) + 7*m(r). Factor o(d).
-d*(d - 1)**3
Let o(k) be the first derivative of -k**8/192 - k**7/420 - 2*k**2 + 4. Let v(c) be the second derivative of o(c). Factor v(x).
-x**4*(7*x + 2)/4
Let r(k) be the second derivative of -k**6/2 - 9*k**5/5 + 11*k**4/4 + 3*k**3 - 35*k. Factor r(x).
-3*x*(x - 1)*(x + 3)*(5*x + 2)
Let h(z) be the first derivative of -729*z**6/7 - 1458*z**5/7 - 891*z**4/7 - 232*z**3/7 - 24*z**2/7 + 21. Factor h(x).
-6*x*(x + 1)*(9*x + 2)**3/7
Let g(q) be the second derivative of q**4/54 + 5*q**3/27 - 22*q. Factor g(n).
2*n*(n + 5)/9
Let q(s) = -s**4 - s**3 - 1. Let t(g) = -6*g**3 + 6*g**2 + 36*g + 27. Let u(c) = 3*q(c) + t(c). Solve u(r) = 0 for r.
-2, -1, 2
Let w(r) be the first derivative of 45*r**4/4 - 25*r**3 + 35*r**2/2 - 5*r + 13. Determine b, given that w(b) = 0.
1/3, 1
Factor -1/5*a**4 - 4/5*a**3 - 2/5*a - a**2 + 0.
-a*(a + 1)**2*(a + 2)/5
Let s = 8 - 5. Factor 5*a**3 - 3*a**3 - 3*a**4 + a**5 + 1 - 3*a + 0*a**s + 2*a**2.
(a - 1)**4*(a + 1)
Let j = 28 - 19. Suppose -11*g**4 + j*g**4 - g**5 - g**5 = 0. What is g?
-1, 0
Let n(o) be the first derivative of o**5/20 - 3*o**4/16 + o**3/12 + 3*o**2/8 - o/2 + 8. Determine u, given that n(u) = 0.
-1, 1, 2
Factor -1652*t - 17340*t**2 + 965*t - 112 - 24565*t**3 - 208 - 3393*t.
-5*(17*t + 4)**3
Let c(j) = -j**3 - j + 8. Let f be c(0). Let o(i) = 14*i**3 - 4*i**2 + 8*i. Let k(t) = -9*t**3 + 3*t**2 - 5*t. Let v(a) = f*k(a) + 5*o(a). Factor v(s).
-2*s**2*(s - 2)
Let x = -3704/7 - -530. Let g = -4 - -6. Determine r, given that -6/7*r**3 - 4/7 + g*r**2 + x*r - 10/7*r**4 = 0.
-1, 2/5, 1
Let q(k) be the second derivative of -k**4/4 - k**3 + 9*k**2/2 + 6*k. Factor q(c).
-3*(c - 1)*(c + 3)
Let t = 2 - -10. Let j = -6 + t. Factor q**5 - j*q**3 + 2*q**4 - 2*q**2 + 8*q**3 - 3*q**5.
-2*q**2*(q - 1)**2*(q + 1)
Let -978*p**4 - 35 - 13 + 926*p**4 + 220*p**2 + 14*p**5 - 30*p**3 - 104*p = 0. What is p?
-2, -2/7, 1, 2, 3
Let q be (-6)/2*(-3)/39. Let f = 41/65 - q. Suppose -4/5 + 6/5*g - f*g**2 = 0. What is g?
1, 2
Let c(s) be the third derivative of -s**5/30 + s**4/12 + 2*s**3/3 + 24*s**2. Determine d so that c(d) = 0.
-1, 2
Let w = -43/52 - -14/13. Suppose 0*a + 0 + 0*a**2 - w*a**3 = 0. What is a?
0
Let x = 137/4 + -34. Solve 1/4 - 1/2*g**2 - x*g = 0.
-1, 1/2
Suppose 0 = -0*k + 2*k + 2*f - 4, 3*k = -5*f + 10. Let c be (0 + k)/(1 + 2). Let c*z**2 + 7/5*z - 2/5 - 9/5*z**3 = 0. Calculate z.
-1, 1/3, 2/3
Let m(q) be the first derivative of -q**3/6 + 5*q**2/12 - q/3 + 4. Let m(c) = 0. What is c?
2/3, 1
Let o(b) be the first derivative of b**4/22 + 2*b**3/11 + 2*b**2/11 - 6. Find w such that o(w) = 0.
-2, -1, 0
Factor 0 - 3/5*x**2 + 0*x.
-3*x**2/5
Suppose -9*z - 12*z**3 + 23*z + 4*z**4 + 2*z = 0. What is z?
-1, 0, 2
Let o(t) = 2*t**3 - t**2. Let u be o(-1). Let z be (-2)/u + (-68)/(-6). Factor m**5 - 12*m**4 - 2*m**3 + m + z*m**4.
m*(m - 1)**2*(m + 1)**2
Let p(u) = -u**3 + 12*u**2 - 14*u + 35. Let v be p(11). Let 9/2*n + 15/2*n**v - 27/2 + 3/2*n**3 = 0. What is n?
-3, 1
Let b(k) be the third derivative of -7/150*k**5 + 1/75*k**7 + 1/30*k**4 - 1/280*k**8 + 1/300*k**6 + 2*k**2 + 0*k**3 + 0*k + 0. Find s, given that b(s) = 0.
-1, 0, 1/3, 1, 2
Suppose -19*x + 21*x = 0. Let l be x*(2 - (-5)/(-2)). Factor l*y - 2/11*y**2 + 0 + 8/11*y**3.
2*y**2*(4*y - 1)/11
Let x = -11 - -15. Let r(o) be the second derivative of 0*o**2 + 1/30*o**6 - 1/24*o**3 - 9/80*o**5 + 0 + 2*o + 1/8*o**x. Factor r(s).
s*(s - 1)**2*(4*s - 1)/4
Let n(i) be the first derivative of 2*i**5/55 - i**4/11 + 2*i**2/11 - 2*i/11 + 1. Factor n(c).
2*(c - 1)**3*(c + 1)/11
Let i(n) be the third derivative of n**7/1890 - n**6/540 - 35*n**2. Find j such that i(j) = 0.
0, 2
Let t(v) be the third derivative of -v**8/60480 + v**7/7560 - v**6/2160 + v**5/60 - 3*v**2. Let y(o) be the third derivative of t(o). Factor y(f).
-(f - 1)**2/3
Let u(s) = s**2 + 2*s - 1. Let f be u(-3). What is d in -d**2 + 4 + 2*d - d - 3*d - d**f = 0?
-2, 1
Let x(c) = 2*c + 4. Let h be x(0). Let j be (-6)/(-16)*h/6. Solve 0*y**2 - 1/4*y**3 + j*y + 0 = 0 for y.
-1, 0, 1
Let i = 533/5076 - 9/94. Let p(f) be the third derivative of 1/27*f**3 - f**2 - 1/270*f**5 + 0*f + 0 - i*f**4 + 1/540*f**6. Factor p(d).
2*(d - 1)**2*(d + 1)/9
Let j(n) = n**2 - 6*n + 9. Let l be j(7). Suppose -32 + l = -4*s. Determine t so that 4/7*t**2 - 2/7*t**s - 2/7 - 2/7*t**5 + 4/7*t**3 - 2/7*t = 0.
-1, 1
Let d(n) = 2*n**2 - 4*n + 5. Let l(s) = -3*s**2 + 4*s - 6. Let h(f) = -4*d(f) - 3*l(f). Let q be h(-6). Factor 2/3*r - 6*r**4 + q*r**3 + 0 - 14/3*r**2.
-2*r*(r - 1)*(3*r - 1)**2/3
Let d = -2/499 - -1507/2495. Factor 6*w**2 + 6*w**3 + 3/5 + d*w**5 + 3*w + 3*w**4.
3*(w + 1)**5/5
Let t(p) = 5*p**3 + 10*p**2 + 14*p + 9. Let f(w) = 4*w**3 + 10*w**2 + 14*w + 8. Let l(u) = -3*f(u) + 2*t(u). Factor l(c).
-2*(c + 1)**2*(c + 3)
Let t be ((-72)/16)/((-6)/4). Factor -1/4*s**4 + 0 + 0*s + 1/4*s**t + 1/2*s**2.
-s**2*(s - 2)*(s + 1)/4
Let q(m) be the second derivative of m**6/180 - m**5/120 + 4*m. Find p, given that q(p) = 0.
0, 1
Let f(m) be the second derivative of -m**7/42 - m**6/30 + 3*m**5/10 + m**4/3 - 4*m**3/3 - 3*m. Factor f(p).
-p*(p - 2)*(p - 1)*(p + 2)**2
Let i(k) be the third derivative of 1/45*k**6 - 1/9*k**3 + 7/90*k**5 + 0 + 3*k**2 + 0*k + 1/18*k**4. Factor i(y).
2*(y + 1)**2*(4*y - 1)/3
Let r = 131/3 + -259/6. Factor 1/2*f**4 - 1/2*f**2 + 0 + 1/2*f**3 - r*f.
f*(f - 1)*(f + 1)**2/2
Suppose -4*u + 16 = -2*q, -2*u = q + q - 14. Let m(