Let o be 8 + ((-8)/2 - -1). Solve 6*v**2 - 3*v**2 - v + v**2 - o*v**2 = 0.
-1, 0
Let w = 4 + -39. Let x be -20*(-5)/w*3/(-4). Factor -x*a - 6/7 - 3/7*a**3 - 12/7*a**2.
-3*(a + 1)**2*(a + 2)/7
Let a(s) = -3*s**5 - 6*s**4 - 2*s**3 + 2*s**2 + s - 2. Let g(j) = j**5 + j**4 + j**2 + j + 1. Let q(d) = a(d) + 2*g(d). Find p such that q(p) = 0.
-3, -1, 0, 1
Let r(i) = -3*i - 2*i + 17*i**2 - 12*i**2. Let u(c) be the first derivative of c**3/3 - c**2/2 - 8. Let p(w) = -r(w) + 6*u(w). Factor p(m).
m*(m - 1)
Let y(b) be the first derivative of -b**6/6 - 4*b**5 - 19*b**4/4 - 7. Determine h, given that y(h) = 0.
-19, -1, 0
Let q(v) = -4*v**3 + 5*v**2 + 17*v - 8. Let g(k) = -9*k**3 + 9*k**2 + 34*k - 15. Let t(u) = -6*g(u) + 15*q(u). Solve t(c) = 0 for c.
-2, 1/2, 5
Suppose 778*b = 826*b - 96. Factor -p**b - 2 - 27/5*p.
-(p + 5)*(5*p + 2)/5
Let l(f) be the second derivative of -f**5/100 + f**4/12 + f**3/5 - 27*f. Factor l(n).
-n*(n - 6)*(n + 1)/5
Suppose 0*s - 15 + 5/3*s**2 = 0. What is s?
-3, 3
Factor -14/5*t - 16/5*t**2 + 14/5*t**3 + 1/5*t**4 + 3.
(t - 1)**2*(t + 1)*(t + 15)/5
Let v(t) be the third derivative of -19/40*t**6 + 13/20*t**5 + 0*t - 9/70*t**7 + 0 + 1/16*t**8 - 2*t**3 + 3/2*t**4 + 24*t**2. Solve v(n) = 0.
-1, 2/7, 1, 2
Let r(f) be the first derivative of 0*f - 1/30*f**5 + 5/3*f**3 - 1/180*f**6 + 0*f**2 - 2 + 0*f**4. Let o(k) be the third derivative of r(k). Factor o(a).
-2*a*(a + 2)
Let -164 + 19273*w**3 - 780*w - 19278*w**3 + 124*w**2 + 86*w**2 + 924 = 0. Calculate w.
2, 38
Let s = -173 - -87. Let y = -83 - s. Let 2/7*l**y - 6/7*l**2 + 0 + 4/7*l = 0. What is l?
0, 1, 2
Find r such that -1/2*r**5 + 19/2*r - 9*r**3 + 6 - 2*r**2 - 4*r**4 = 0.
-4, -3, -1, 1
Let f(s) be the first derivative of -42 - 63*s**5 + 26*s**3 - 20*s**3 + 27*s**4 + 50*s**6 - 10*s**3. Solve f(a) = 0.
0, 1/4, 2/5
Determine v, given that 4/13*v - 10/13*v**2 - 6/13*v**3 + 0 = 0.
-2, 0, 1/3
Let y(c) = -c + 1. Let w(o) = -30*o**2 + 31*o - 11. Let p(d) = -w(d) - 6*y(d). Factor p(m).
5*(2*m - 1)*(3*m - 1)
Let c = 10229 - 173863/17. Solve c*v**2 - 2/17*v**4 - 6/17*v**3 - 2*v + 12/17 = 0.
-6, 1
Let h(z) = -2*z**5 + 8*z**4 + z**3 - 7*z**2 - 11*z. Let l(t) = t**5 - 4*t**4 - t**3 + 4*t**2 + 6*t. Let p(s) = -6*h(s) - 11*l(s). Let p(u) = 0. Calculate u.
0, 1, 2
Let c(k) = -2*k. Let o be 2*(0/4 - 1). Let b be c(o). Let -4*p**3 - b*p + p**2 + 3*p**3 + 3*p**2 = 0. What is p?
0, 2
Let p(z) = 7*z**2 - 4*z - 2. Let h(i) = -2*i**2 - i + 1. Let v(b) = 2*h(b) + p(b). Factor v(r).
3*r*(r - 2)
Suppose 2*g = 5*f - 21, -3*g - 18 = -5*f + 6. Let z(v) be the second derivative of -1/12*v**f - 2*v - 1/2*v**2 + 0 - 1/20*v**5 + 5/24*v**4. Factor z(l).
-(l - 2)*(l - 1)*(2*l + 1)/2
Let o = 53 + -51. Solve -5*c**4 + 82*c**o + 68*c - 80*c + 40 + 25*c**3 + 127*c + 23*c**2 = 0.
-1, 8
Let h be (455/52)/(22/44). Solve 20/3*p**2 + 15 + h*p + 5/6*p**3 = 0.
-3, -2
Suppose -4*p + 13 = -2*g + 7, 3*p - 3*g + 3 = 0. Factor 2/3*c**2 + 0*c + 0*c**3 - 1/3 - 1/3*c**p.
-(c - 1)**2*(c + 1)**2/3
Let b(h) = 8*h - 40. Let i be b(5). Let m(g) be the third derivative of -3/70*g**7 + 0*g + 4*g**2 - 1/40*g**6 + 0 + 0*g**3 + i*g**4 + 1/10*g**5. Factor m(l).
-3*l**2*(l + 1)*(3*l - 2)
Let c(d) be the first derivative of d**4/32 + 23*d**3/24 - 13*d**2/8 - 6*d + 357. Find p, given that c(p) = 0.
-24, -1, 2
Factor 4/7 + 4/7*a - 1/7*a**4 - 4/7*a**3 - 3/7*a**2.
-(a - 1)*(a + 1)*(a + 2)**2/7
Let k be (3/2)/(9/12). Let j be k/3 - (-3)/9. Factor -j - 15*t - 3*t**3 + 3 + 4 + 12*t**2.
-3*(t - 2)*(t - 1)**2
Suppose 5*b - 3*s = 0, 2*b = 23*s - 18*s. Suppose -3*l - 3*g = -5 - 4, 0 = 2*l - 2*g - 10. Factor 2*u**5 + u**5 + b*u**5 + 7*u**4 - u**l.
3*u**4*(u + 2)
Let l be (-3)/(-2)*64/24. Suppose 0*c - 2*q = -4*c + 4, 0 = -2*c + 4*q - 10. Determine p, given that -2*p**4 + 0*p**3 + 2*p**4 + 12*p**l - 4*p**5 - 8*p**c = 0.
0, 1, 2
Solve 1/4*y**2 + 2*y + 7/4 = 0.
-7, -1
Let q(r) be the first derivative of -r**8/336 + r**6/30 - r**5/30 - r**4/8 + r**3/3 - 28*r**2 - 15. Let p(k) be the second derivative of q(k). Factor p(i).
-(i - 1)**3*(i + 1)*(i + 2)
Let l be (2 + -1)/(5/75*5). Factor -3*o - 3 - 317*o**l + 2*o**2 + 320*o**3 + o**2.
3*(o - 1)*(o + 1)**2
Suppose 14 + 10 = 3*i + 3*c, 18 = i + 3*c. Factor 0*d**4 - 7*d**3 + i*d**4 - 8*d + 12*d.
d*(d - 2)*(d - 1)*(3*d + 2)
Let z(t) be the third derivative of 5*t**8/168 - 4*t**7/105 - 11*t**6/60 - t**5/15 - 156*t**2. Solve z(h) = 0 for h.
-1, -1/5, 0, 2
Let k(i) be the first derivative of 50*i**5 + 175*i**4 + 240*i**3 + 162*i**2 + 54*i - 46. Suppose k(g) = 0. Calculate g.
-1, -3/5
Suppose 30 = r + 4*r. Suppose 0 = 2*p - r - 0. Factor -24*v**3 + 16*v**2 - 2*v - p*v - 4*v**5 - 4*v + 5*v + 16*v**4.
-4*v*(v - 1)**4
Let v(m) = -m**3 + 49*m**2 - 137*m - 46. Let q be v(46). Determine x, given that 1/4*x**2 - 1/4*x + q = 0.
0, 1
Factor 0 - 2/13*l**4 + 6/13*l + 2/13*l**3 + 10/13*l**2.
-2*l*(l - 3)*(l + 1)**2/13
Let f(y) = 11*y + 46. Let v be f(-4). Let t be (-2*6/2)/(-2). Factor 3/7*w**t - 12/7 + 24/7*w - 15/7*w**v.
3*(w - 2)**2*(w - 1)/7
Let d(u) = u**3 - 18*u**2 - 39*u - 17. Let l be d(20). Factor -2*n**l + 2*n**4 + 4*n**4 - 2*n**3 - 2*n**4 - 4*n**2 + 4*n.
4*n*(n - 1)**2*(n + 1)
Let s(b) = 4*b - 5. Let n be s(3). Suppose 0 = n*t - 20 - 8. Factor 2/3*w**3 - 2/3*w + 2/3*w**2 + 0 - 2/3*w**t.
-2*w*(w - 1)**2*(w + 1)/3
Let t(a) be the first derivative of a**5/5 - 5*a**4/4 + 7*a**3/3 - 3*a**2/2 - 70. Let t(s) = 0. Calculate s.
0, 1, 3
Let s(x) be the second derivative of -x**8/1848 + x**7/1155 + x**6/660 - x**5/330 - 5*x**2 - 5*x. Let i(b) be the first derivative of s(b). Factor i(y).
-2*y**2*(y - 1)**2*(y + 1)/11
Let -57*q**3 - 156*q - 33/4*q**4 - 144*q**2 - 60 = 0. Calculate q.
-2, -10/11
Let w(z) be the first derivative of z**5 - 5*z**4/4 - 20*z**3 + 70*z**2 - 80*z + 63. Determine c so that w(c) = 0.
-4, 1, 2
Let q(v) be the second derivative of v**4/84 - v**3/6 - 4*v**2/7 + v + 61. Suppose q(a) = 0. Calculate a.
-1, 8
Suppose -651/5*n**3 + 147/5*n**4 + 474/5*n**2 + 444/5*n + 72/5 = 0. Calculate n.
-2/7, 2, 3
Let d(t) be the third derivative of 1/40*t**6 + 2*t**4 + 0 + 7/20*t**5 + 6*t**3 + 28*t**2 + 0*t. Let d(g) = 0. What is g?
-3, -2
Let j be (-24 + 22)*(6/(-10))/((-6)/(-15)). Factor 0 - 13/3*s**4 - 1/3*s**5 - 112/3*s**2 - 20*s**j - 64/3*s.
-s*(s + 1)*(s + 4)**3/3
Let m(l) = 16*l**2 + 15*l - 19. Let c(t) = -31*t**2 - 25*t + 39. Let w(y) = -6*c(y) - 11*m(y). Determine r so that w(r) = 0.
-1, 5/2
Let w(k) be the third derivative of 0*k**5 - 1/70*k**7 + 1/20*k**6 + 0*k**3 + 0*k + 0 + 3*k**2 + 0*k**4. Let w(g) = 0. Calculate g.
0, 2
Let -37/5*y**2 + 0 + 0*y - 1/5*y**3 = 0. What is y?
-37, 0
Let h(b) be the third derivative of b**6/660 + b**5/110 - b**4/132 - b**3/11 + 2*b**2 - 63. Suppose h(i) = 0. What is i?
-3, -1, 1
Let o(n) = 6*n**5 - 2*n**4 - 10*n**3 - 2*n**2 + 2*n - 4. Let w(v) = -v**5 + v**4 + v**3 + v**2 + v + 2. Let y(s) = o(s) + 2*w(s). Solve y(d) = 0 for d.
-1, 0, 1
Let u(q) be the second derivative of q**7/147 + 4*q**6/15 + 39*q**5/35 + 38*q**4/21 + 25*q**3/21 + 428*q. What is k in u(k) = 0?
-25, -1, 0
Let j(g) = -314*g + 319. Let h be j(1). Factor 0*n**4 + 0*n + 2/3*n**3 + 4/9*n**2 - 2/9*n**h + 0.
-2*n**2*(n - 2)*(n + 1)**2/9
Let h be ((-1)/(98/(-63)))/((-18)/(-21)). Let k(f) = f**2 + f + 4. Let l be k(0). Factor 1/2 + 1/4*w**l - h*w**2 + 1/4*w**3 - 1/4*w.
(w - 1)**2*(w + 1)*(w + 2)/4
Solve 19/5*m - 21/5*m**2 - 6/5 - 1/5*m**4 + 9/5*m**3 = 0.
1, 6
Let h(q) be the first derivative of 5*q**6/6 - q**5 - 5*q**4/2 + 10*q**3/3 + 5*q**2/2 - 5*q + 63. Factor h(j).
5*(j - 1)**3*(j + 1)**2
Factor 5*o - 5/2*o**4 - 5/2*o**5 + 25/2*o**2 + 15/2*o**3 + 0.
-5*o*(o - 2)*(o + 1)**3/2
Let w(f) be the first derivative of -5*f**3/3 + 650*f**2 - 84500*f - 177. Determine n, given that w(n) = 0.
130
Let o(x) be the third derivative of 0*x + 5/4*x**4 + 0 + 1/8*x**6 + 35*x**2 - 13/24*x**5 - 1/84*x**7 - 5/3*x**3. Solve o(s) = 0.
1, 2
Let s(j) = -j**2 + 7*j - 4. Let t be s(6). Let l be 10/2 - (-6)/(-2). Suppose 2 - 2*p**3 + 2*p**t - p**2 - 3*p**2 + l*p = 0. What is p?
-1, 1
Factor 92 - 10*l + 195*l**2 + 9*l**3 - 334*l + 72*l.
(l + 23)*(3*l - 2)**2
Determine j, given that 5*j**4 + 188*j**2 - 77*j - 100*j + 75 - 53*j + 96*j**2 - 44*j**2 - 90*j**3 = 0.
1, 15
Let p(q) be the third derivative of -q**6/420 - 19*q**5/210 - 55*q**4/84 + 25*q**3/7 -