 c so that 58*c**2 - 54*c**2 - 2*c - 18*c = 0.
0, 5
Suppose 39 - 714 = -9*c. Suppose 0 = c*s - 71*s - 12. Factor t**s - 1/2*t + 0 - 3/4*t**4 + 1/4*t**2.
-t*(t - 1)**2*(3*t + 2)/4
Let y(q) be the second derivative of -q**4/4 + 2*q**3 - 278*q. Let y(s) = 0. What is s?
0, 4
Let l be 34/6*(-2)/(-4)*6. Suppose 12*g - l*g = 0. Suppose v - 1/2*v**2 + 1/2*v**5 - 3/2*v**3 + 1/2*v**4 + g = 0. Calculate v.
-2, -1, 0, 1
Suppose -3 = -s - 125*u + 128*u, s + u + 1 = 0. Suppose 1/2*v**2 - 1/4*v**3 + s - 1/4*v = 0. Calculate v.
0, 1
Let i(l) be the first derivative of -l**6/3 - 62*l**5/5 - 355*l**4/2 - 1206*l**3 - 3888*l**2 - 5832*l + 130. Determine t, given that i(t) = 0.
-9, -2
Let q = -46 + 62. Factor -18 + 5*u**3 - 2*u**4 - 2*u - 2*u**5 + q + 4*u**2 - u**3.
-2*(u - 1)**2*(u + 1)**3
Let z(w) be the second derivative of -w**7/168 + 3*w**5/40 - w**4/6 + w**3/8 - 34*w + 4. Factor z(v).
-v*(v - 1)**3*(v + 3)/4
Suppose 21 = 3*m - n + 4*n, 2*n = -6. Let d be 60/(-18)*(-6)/m. Factor 0*y + 0 - 12/11*y**3 + 2/11*y**d + 18/11*y**4.
2*y**2*(3*y - 1)**2/11
Let q = 9 + -6. Let z be (q - (-1 - -2))*4. Factor -2*o**2 - z*o**3 + o**4 - 4*o**4 - 8*o**4 + 5*o**4.
-2*o**2*(o + 1)*(3*o + 1)
Let j(y) be the third derivative of -8*y**2 + 0 + 0*y + 2/75*y**5 - 7/30*y**4 - 4/15*y**3 + 7/150*y**6. Let j(z) = 0. Calculate z.
-1, -2/7, 1
Let k = 1332 - 3994/3. What is c in 2/3*c**2 + 0 - k*c = 0?
0, 1
Factor -108*l**2 - 1700 + 145*l**3 + 173*l**3 - 322*l**3 - 780*l.
-4*(l + 5)**2*(l + 17)
Let y = -62137/3 + 20714. Solve 20/3 + y*l**2 + 20/3*l = 0 for l.
-2
Let i be 0/(-3) + 0 + 4. Suppose -3*a**3 + 27*a**i - 30*a**4 + a - a = 0. What is a?
-1, 0
Suppose 0 = 6*d - 8 - 22. Solve -8*k**3 + 9*k**3 - 15*k**2 - 6*k**3 - 15*k - d = 0.
-1
Let p be ((-188)/(-20) + -3)*85/102. Let t = 1/203 + 2027/609. Factor t*j**2 + 8/3*j**4 + 0 - p*j**3 - 2/3*j.
2*j*(j - 1)*(2*j - 1)**2/3
Factor -11/2*u + 0 - 1/2*u**2.
-u*(u + 11)/2
Let o(k) be the third derivative of 1/270*k**5 - 16/27*k**3 - 1/18*k**4 + 0 - 5*k**2 + 0*k. What is p in o(p) = 0?
-2, 8
Let a(g) = 35*g**2 + 160*g + 140. Let p = 94 - 74. Let z(t) = -5*t**2 - 23*t - 20. Let k(i) = p*z(i) + 3*a(i). Factor k(j).
5*(j + 2)**2
Factor 245*m**5 + 340*m**3 + 223*m**3 - 123*m**3 + 60*m**2 + 875*m**4.
5*m**2*(m + 3)*(7*m + 2)**2
Factor -12*n**2 - 7*n**2 - 6*n + n**2 - n**2 + 72 + 16*n**2.
-3*(n - 4)*(n + 6)
Let f(q) = -3*q**4 - 23*q**3 - 12*q**2 + 13*q + 5. Let j(u) = -2*u**4 - 12*u**3 - 7*u**2 + 6*u + 3. Let y(l) = -3*f(l) + 5*j(l). Suppose y(r) = 0. Calculate r.
-1, 0, 1, 9
Suppose -5*c = -3*c - 18. Suppose 0*b - 3*b + 6 = 0. Factor 0 + 3*k**2 + 16*k + 1 + c*k**2 + 52*k**b.
(8*k + 1)**2
Factor -55*w + 25*w + 24*w - w**2 - 9.
-(w + 3)**2
Let m(l) be the first derivative of -4*l**4 - 140*l**3/3 + 18*l**2 + 682. Factor m(r).
-4*r*(r + 9)*(4*r - 1)
Let m = -407/3 + 136. Let t(h) be the first derivative of 0*h**2 + 0*h - m*h**6 + 2 - 3/2*h**4 - 6/5*h**5 - 2/3*h**3. Factor t(i).
-2*i**2*(i + 1)**3
Let l = -41 - -73. Let k = l - 24. Determine p, given that 32*p**3 - 7*p**5 - 4*p - 2*p**3 + 24*p**2 - 5*p**5 - 16*p**4 - 14*p**3 - k = 0.
-1, 2/3, 1
Let k be 7/(-84)*(-2)/12. Let f(y) be the second derivative of -1/4*y**2 + 0 + 4*y - k*y**4 + 1/9*y**3. What is q in f(q) = 0?
1, 3
Let w(o) be the third derivative of o**7/70 + 3*o**6/8 - 33*o**5/20 + 17*o**4/8 - 2*o**2 + 3*o. Factor w(v).
3*v*(v - 1)**2*(v + 17)
Let p(o) be the second derivative of o**6/1620 - 7*o**5/270 + 49*o**4/108 + 7*o**3/3 - 2*o - 18. Let s(y) be the second derivative of p(y). Factor s(h).
2*(h - 7)**2/9
Let x(m) = -m**3 + 2. Let u(c) = c - 3. Let i be u(4). Let q(n) = -56*n + 56*n - n**2 + i. Let k(j) = -2*q(j) + x(j). Factor k(f).
-f**2*(f - 2)
Let m(p) = -2*p**4 - p + 2. Let d(n) = 11*n**4 - 10*n**3 - 65*n**2 - 76*n - 36. Let h(k) = -3*d(k) - 12*m(k). Find w such that h(w) = 0.
-2, -1, -2/3, 7
Let 0 + 2/7*k**4 - 4/7*k**3 - 10*k**2 + 0*k = 0. Calculate k.
-5, 0, 7
Let c be (-6)/((-7)/(-14)*-4). Let p(y) be the first derivative of 2*y + 121/6*y**3 + c + 11*y**2. Suppose p(x) = 0. Calculate x.
-2/11
Let s(o) be the second derivative of -o**6/165 - 3*o**5/110 + 5*o**4/33 + 15*o. Solve s(c) = 0.
-5, 0, 2
Let w(t) = -t**3 + t**2. Let v(c) = 40*c**3 + 60*c**2 - 30*c. Let o(b) = -v(b) - 25*w(b). Determine r so that o(r) = 0.
-6, 0, 1/3
Let q(w) be the third derivative of w**5/180 - w**4/24 - 2*w**3/9 - 15*w**2. Determine h, given that q(h) = 0.
-1, 4
Let s(x) be the second derivative of -5*x + 0 - 2*x**2 - 1/3*x**3 - 1/48*x**4. Let s(r) = 0. What is r?
-4
Let z(s) be the first derivative of -3*s + 5/2*s**2 - 1/3*s**3 - 1/4*s**4 + 5. Factor z(g).
-(g - 1)**2*(g + 3)
Let y(g) be the third derivative of g**5/50 - g**4/20 - 116*g**2. Let y(m) = 0. Calculate m.
0, 1
Let x(a) be the second derivative of 0 + 4/5*a**3 + 1/3*a**4 + 2/5*a**2 + 10*a. Factor x(h).
4*(h + 1)*(5*h + 1)/5
Let q(s) = 2*s**4 + 2*s**3 + 1. Let j(d) = 30*d**4 + 50*d**3 + 20*d**2 + 14. Let p(o) = -2*j(o) + 28*q(o). Determine z, given that p(z) = 0.
-10, -1, 0
Let v(z) = 4*z**4 + 2*z**3 - z**2 + 4*z + 3. Let x(q) = -9*q**4 - 5*q**3 + 2*q**2 - 9*q - 7. Let a(d) = -14*v(d) - 6*x(d). What is b in a(b) = 0?
-1, 0, 1
Let p(j) be the first derivative of j**6/75 - j**4/10 - 2*j**3/15 - 16*j + 12. Let c(f) be the first derivative of p(f). Suppose c(z) = 0. What is z?
-1, 0, 2
Factor 5*u**3 - 6*u**3 - 4117682 + 330*u**2 + 1950*u**2 + 21676722 - 4*u**3 - 346560*u.
-5*(u - 152)**3
Let j(o) be the second derivative of -7*o**5/20 + o**4/12 + 14*o**3/3 - 2*o**2 - 6*o - 18. Factor j(p).
-(p - 2)*(p + 2)*(7*p - 1)
Suppose 2*u - u = 11*d - 39, 4*d = 3*u + 1. Factor 0*n + 0*n**2 + 0*n**3 + 0 - 2/3*n**5 - 4/3*n**d.
-2*n**4*(n + 2)/3
Let f(w) be the second derivative of -w**4/20 - 9*w**3/10 + 33*w**2/5 + 4*w + 16. Factor f(s).
-3*(s - 2)*(s + 11)/5
Solve 5329/3 + 146/3*r + 1/3*r**2 = 0 for r.
-73
Suppose 29*d = 27*d + 28. Suppose -d*w - 4*w = 0. Suppose w*i - 2*i**5 - 16/5*i**2 - 44/5*i**4 + 0 - 56/5*i**3 = 0. Calculate i.
-2, -2/5, 0
Let n(f) be the first derivative of -f**6/345 - 7*f**5/230 - 4*f**4/69 + 16*f**3/69 - 28*f - 7. Let m(a) be the first derivative of n(a). Factor m(t).
-2*t*(t - 1)*(t + 4)**2/23
Let o be -1 + ((-52)/(-144))/(5/15). Let a(j) be the second derivative of 0*j**2 + 5*j + 1/2*j**3 - o*j**4 + 0. Find m such that a(m) = 0.
0, 3
Let g(q) be the second derivative of -q**7/14 + 3*q**5/20 - 136*q. Factor g(p).
-3*p**3*(p - 1)*(p + 1)
Let x(c) = -2*c**2 - c - 2. Let a(u) = 6*u**2 + 38. Let m(k) = -a(k) - 4*x(k). Factor m(q).
2*(q - 3)*(q + 5)
Let g(y) be the second derivative of -8*y - 2*y**2 + 1/3*y**4 + 0*y**3 + 0. Let g(n) = 0. Calculate n.
-1, 1
Let g(u) = -16*u**3 - 20*u**2 - 2*u + 4. Let h(d) = -32*d**3 - 37*d**2 - 3*d + 7. Let t(x) = -5*g(x) + 2*h(x). Determine n, given that t(n) = 0.
-1, 3/8
Let n be ((-24)/14 - -2) + 0. Let f be (-4*(-8)/7 - (-126)/(-63)) + -2. Factor -f*g + 2/7*g**2 + n.
2*(g - 1)**2/7
Let x(f) be the second derivative of -95*f**4/72 + 5*f**3/18 + 401*f. Let x(j) = 0. What is j?
0, 2/19
Let z(t) be the first derivative of -25/4*t**4 + 0*t**2 + 10/3*t**3 - 3 + 0*t + 4*t**5 - 5/6*t**6. Factor z(b).
-5*b**2*(b - 2)*(b - 1)**2
Suppose 2*m + 12 = m. Let h = m + 13. Find l, given that 0 + 30*l - 75*l**2 + h + 0 - 4 = 0.
1/5
Let a = 1426 - 4324/3. Let v = a - -101/6. Factor -3/2*z**2 + 0 - v*z**4 - 3*z**3 + 0*z.
-3*z**2*(z + 1)**2/2
Let i(a) be the third derivative of -a**7/2520 + 7*a**4/8 + 29*a**2. Let x(p) be the second derivative of i(p). Factor x(b).
-b**2
Let t(u) be the third derivative of 0 + 0*u**4 + 0*u**3 + 0*u - 7/24*u**6 - 1/14*u**7 - 1/6*u**5 + 15*u**2. Let t(n) = 0. What is n?
-2, -1/3, 0
Let k = 2406 - 2402. Let u(i) be the first derivative of 25/3*i**3 - 15/4*i**4 - 5/2*i**2 - 5*i + k. Factor u(l).
-5*(l - 1)**2*(3*l + 1)
Let -65*t**2 + 29*t - 5*t**3 + 3035 + 16*t - 1010 = 0. What is t?
-9, 5
Factor 2*s**2 - 11/4*s + 5/4*s**3 - 7/2.
(s + 1)*(s + 2)*(5*s - 7)/4
Suppose 2 - 4 = -v. Suppose 15 = 3*r + v*r. Factor -30*c**2 - 26*c**r + 0 + 0 - 14*c - 2 - 8*c**4.
-2*(c + 1)**3*(4*c + 1)
Factor -12/5*t**2 + 2/5*t**4 + 16/5 + 2/5*t**3 - 8/5*t.
2*(t - 2)*(t - 1)*(t + 2)**2/5
Let g = -148 + 156. Suppose -g*y = y - 27. Determine r, given that -1/4*r**y - 1/4*r + 0 + 1/2*r**2 = 0.
0, 1
Let p(a) be the thir