u**2 + 6 = 0.
-4, 1
Let u(g) be the first derivative of g**6/105 - g**5/70 - g**4/42 + g**3/21 + 11*g - 13. Let t(k) be the first derivative of u(k). Factor t(q).
2*q*(q - 1)**2*(q + 1)/7
Let p(u) be the first derivative of u**6/3 + 2*u**5 + 3*u**4 - 4*u**3/3 - 7*u**2 - 6*u + 124. Solve p(d) = 0.
-3, -1, 1
Let x(j) = -4*j**3 - j**5 + 13*j**4 - 3*j**5 + 6*j**2 + 0*j**3 + j**2. Let v(k) = -k**5 + 4*k**4 - k**3 + 2*k**2. Let u(n) = -7*v(n) + 2*x(n). Factor u(s).
-s**3*(s + 1)**2
Let c(h) be the third derivative of -h**5/15 + 91*h**4/6 - 60*h**3 - 3*h**2 + 126. Factor c(x).
-4*(x - 90)*(x - 1)
Let w(q) be the second derivative of 1/20*q**5 + 18*q + 0 + 3/2*q**3 - 1/2*q**4 + 0*q**2. Let w(m) = 0. What is m?
0, 3
Let f = -10883/38 + 573/2. Factor -f*s**5 - 8/19*s**3 + 0*s**2 + 0*s + 0 - 8/19*s**4.
-2*s**3*(s + 2)**2/19
Suppose -2*z - 12 = -11*u + 8*u, -2 = 5*u + 4*z. Factor 0*v + 1/5*v**4 + 0*v**3 + 1/5 - 2/5*v**u.
(v - 1)**2*(v + 1)**2/5
Let g(z) be the third derivative of -z**8/168 - 2*z**7/21 - 13*z**6/60 + 2*z**5 - 3*z**4 + 972*z**2. Factor g(u).
-2*u*(u - 1)**2*(u + 6)**2
Let y(u) be the second derivative of u**6/315 - 4*u**5/105 + 11*u**4/126 + 20*u**3/63 + 140*u. Factor y(a).
2*a*(a - 5)*(a - 4)*(a + 1)/21
Suppose 5*g = 15, -2*f + 3*g = g - 18. Suppose -f = o + 4*q, -o = -5*o + 4*q + 12. Determine j, given that 0*j - 2/7*j**4 - 2/7 + o*j**3 + 4/7*j**2 = 0.
-1, 1
Let p(u) be the third derivative of 0*u + 0 + 0*u**4 + 7*u**2 + 3/20*u**5 + 1/70*u**7 + 1/112*u**8 - 1/8*u**6 + 0*u**3. Suppose p(x) = 0. What is x?
-3, 0, 1
Let m be (22/(-5))/((-6)/(-30)). Let v = m - -28. Factor 4 + v*f - 6*f**3 - 3*f**4 - 4 + 0*f**3 + 3.
-3*(f - 1)*(f + 1)**3
Let m(q) be the first derivative of 38*q**5/75 - 2*q**4/3 - 10*q**3/3 + 16*q**2/3 - 8*q/15 - 644. Let m(u) = 0. What is u?
-2, 1/19, 1, 2
Let o(u) be the second derivative of -u**6/24 + 5*u**4/24 + 19*u**2/2 + 29*u. Let t(i) be the first derivative of o(i). What is q in t(q) = 0?
-1, 0, 1
Let y(g) be the second derivative of -g**6/6 + 5*g**4/12 + 5*g - 30. Factor y(t).
-5*t**2*(t - 1)*(t + 1)
Let q(w) be the third derivative of 0*w**3 + 12*w**2 - 1/48*w**4 + 0 + 0*w - 7/240*w**5. Let q(b) = 0. What is b?
-2/7, 0
Suppose 5*m = -0*m + 125. Let t = 42 + -39. Determine d, given that -47*d**3 + 3*d**5 - 2*d**4 + 21*d**3 + m*d**t = 0.
-1/3, 0, 1
Factor 5/4 + 7/4*i**2 - 1/4*i**3 - 11/4*i.
-(i - 5)*(i - 1)**2/4
Let v(f) be the first derivative of -5*f**6/27 + 2*f**5/15 + 7*f**4/18 - 2*f**3/9 - 2*f**2/9 - 51. Suppose v(l) = 0. What is l?
-1, -2/5, 0, 1
Let p(y) be the first derivative of y**6/3 + 32*y**5/5 + 29*y**4/2 + 28*y**3/3 - 21. Determine d so that p(d) = 0.
-14, -1, 0
Let y(v) be the second derivative of -27*v**5/20 + 3*v**4 - 2*v**3 + 73*v. Factor y(g).
-3*g*(3*g - 2)**2
Suppose 4*k + 45 = 19*k. Suppose 2*d = -0*d - 5*n + 21, k*n = 5*d - 6. Factor 2/3*y**d - 4/3*y**2 + 16/3*y**4 + 0*y + 10/3*y**5 + 0.
2*y**2*(y + 1)**2*(5*y - 2)/3
Let n(z) be the second derivative of -z**6/1260 + z**5/105 - z**3 - 13*z. Let j(i) be the second derivative of n(i). Factor j(y).
-2*y*(y - 4)/7
Let r(o) be the second derivative of -o**6/600 + o**5/75 + o**4/40 - 11*o**3/6 + 15*o. Let n(j) be the second derivative of r(j). Factor n(v).
-(v - 3)*(3*v + 1)/5
Suppose 3*c - 3 = 3*x + 3, 2*c + 2*x = 8. Suppose 4*m = c*m + 4. Factor 0 + 1/5*v**m + 0*v**3 + 0*v - 1/5*v**2.
v**2*(v - 1)*(v + 1)/5
Let j(n) = -n**3 - n + 1. Let m(r) = -3*r**4 + 25*r**3 - 12*r**2 + 5*r - 5. Let u(i) = -5*j(i) - m(i). Factor u(q).
q**2*(q - 6)*(3*q - 2)
Let b = -29/2260 + 10/339. Let t(q) be the third derivative of 0 - q**2 - b*q**6 + 0*q + 0*q**3 - 1/10*q**5 - 1/6*q**4. Factor t(c).
-2*c*(c + 1)*(c + 2)
Let y(t) be the first derivative of -t**4/30 + t**3/5 + 12*t - 15. Let b(p) be the first derivative of y(p). Factor b(r).
-2*r*(r - 3)/5
Let i(v) be the third derivative of -8*v**7/105 - 17*v**6/5 + 69*v**5/20 - 13*v**4/12 + 240*v**2 + 2. Factor i(t).
-t*(t + 26)*(4*t - 1)**2
What is s in -47*s**2 + 2208*s**3 - s**5 - 42 - 2219*s**3 + 72*s + 14 + 15*s**4 = 0?
-2, 1, 14
Let g = -22290 + 22292. Factor -3/2*r**3 - 9*r + 21/2*r**g + 0.
-3*r*(r - 6)*(r - 1)/2
Find q such that 5/9*q**4 + 0 + 2/3*q - 5/9*q**2 - 1/9*q**5 - 5/9*q**3 = 0.
-1, 0, 1, 2, 3
Let a be -3*(1/3 - 0). Let g(d) = d**2. Let s(o) = -o**3 - 4*o**2 + o. Let c(i) = a*s(i) - 4*g(i). Factor c(y).
y*(y - 1)*(y + 1)
Let d(c) be the third derivative of c**6/540 + c**5/135 - 7*c**4/108 + 4*c**3/27 + 88*c**2 - 1. Let d(h) = 0. What is h?
-4, 1
Let i(t) be the third derivative of 1/7*t**4 + 17*t**2 + 1/35*t**5 + 0*t + 8/21*t**3 + 1/420*t**6 + 0. Factor i(n).
2*(n + 2)**3/7
Let d(i) be the first derivative of -i**5/10 - 7*i**4/6 - 4*i + 13. Let f(q) be the first derivative of d(q). Solve f(t) = 0 for t.
-7, 0
Find v such that -24*v**2 - 477*v + 1031*v - 515*v - 21*v**3 + 36 + 6*v**4 = 0.
-1, 3/2, 4
Let l(c) be the first derivative of -c**5/10 + c**3 - 2*c**2 + 3*c/2 + 105. Let l(u) = 0. What is u?
-3, 1
Suppose -5*a = -5*c, -6*a + 15 = c - 20. Factor 0*d + 0*d**2 + 0 - 16/5*d**3 + 4*d**a + 32/5*d**4.
4*d**3*(d + 2)*(5*d - 2)/5
Suppose r - 5*w + 43 = 0, 3*w + 129 = -5*r + 26. Let c be 4/(-3)*r/92. Suppose 0*z + c - 1/3*z**2 = 0. Calculate z.
-1, 1
Let q(t) be the first derivative of -6*t**3/5 - 13*t**2/10 - 2*t/5 + 11. What is u in q(u) = 0?
-1/2, -2/9
Let c(q) be the first derivative of 4*q**3/3 + 111*q**2/2 - 28*q - 98. Let c(l) = 0. Calculate l.
-28, 1/4
Let s = 2089/4 - 522. Factor 0 - 1/4*g**4 + 1/2*g**2 + 0*g - s*g**3.
-g**2*(g - 1)*(g + 2)/4
Let s(v) be the second derivative of v**4/12 - 31*v**3/6 + 29*v**2 - 293*v - 1. Determine b so that s(b) = 0.
2, 29
Let d = 2056 - 2051. Let j(q) be the second derivative of 0*q**6 + 0*q**3 + 1/100*q**d + 0 + 0*q**2 - 1/210*q**7 + 0*q**4 + 8*q. Factor j(s).
-s**3*(s - 1)*(s + 1)/5
Let z(j) be the first derivative of -j**3/3 + 6*j**2 - 36*j + 83. Factor z(q).
-(q - 6)**2
Let n(h) be the third derivative of h**6/24 + h**5/12 - 5*h**4 + 30*h**3 - 549*h**2. Solve n(j) = 0.
-6, 2, 3
Let g = -11580 + 11585. Factor -1/2*z**g + 0 + 0*z + z**2 + 0*z**4 + 3/2*z**3.
-z**2*(z - 2)*(z + 1)**2/2
Let w(i) = 4*i**4 + 8*i**3 + 28*i**2 - 48*i - 66. Let c(t) = -t**4 - t**3 + t**2 + t - 1. Let m(v) = -6*c(v) - w(v). Factor m(x).
2*(x - 3)**2*(x + 1)*(x + 4)
Let a = -403 - -1615/4. Find h such that a*h**4 - 3/4*h**5 + 3/2*h**3 - 3/2*h**2 + 3/4 - 3/4*h = 0.
-1, 1
Let h(d) = 811*d + 4057. Let c be h(-5). Factor 2/21*f**c + 0 + 4/21*f.
2*f*(f + 2)/21
Let v(w) = -2*w**3 + 4*w**2 + w. Let o be v(2). Factor 4*p**3 + 0*p**4 - 4*p - 2*p**4 + 6*p**4 - 5*p**o + p**2.
4*p*(p - 1)*(p + 1)**2
Let i(k) be the first derivative of -11*k**6/360 + 17*k**5/120 - k**4/4 - 5*k**3/3 + 22. Let w(c) be the third derivative of i(c). Factor w(q).
-(q - 1)*(11*q - 6)
Let j(r) be the second derivative of 0*r**3 + 2/15*r**6 + 0*r**2 - 1/10*r**5 - 1/21*r**7 + 15*r + 0*r**4 + 0. Let j(l) = 0. What is l?
0, 1
Suppose 5*y - 1 + 0 = -3*w, 0 = -3*y - 3. Factor -2 + 120*h + 2*h**w - 120*h.
2*(h - 1)*(h + 1)
Let m(t) = -4*t - 5. Suppose -34*r + 29*r - 10 = 0. Let s be m(r). Factor -17/5*k**2 - 16/5*k**4 - 2/5*k - 8*k**s + 0.
-k*(k + 2)*(4*k + 1)**2/5
Let t = 38298 - 38293. Suppose 1/3*x + 4/3*x**2 + 4/3*x**4 + 0 + 1/3*x**t + 2*x**3 = 0. What is x?
-1, 0
Let v(f) = -8*f**2 + 13*f - 27. Let k(j) = 34*j**2 - 51*j + 109. Let x(z) = 6*k(z) + 26*v(z). Find q, given that x(q) = 0.
2, 6
Let v(q) = -q**2 + 21*q + 26. Let z be v(22). Solve z*t**4 - t**3 + 4*t**3 - 4*t**3 - 7*t**3 = 0.
0, 2
Let h(z) = 17*z + 37. Let n be h(-2). Let w(y) be the first derivative of 9*y**3 + 3/2*y**2 - n*y + 33/4*y**4 + 12/5*y**5 - 4. Find i such that w(i) = 0.
-1, 1/4
Let y = -90 + 95. Find p such that 489*p**3 - 486*p**3 + 17*p**2 + 13*p**2 - 12*p**2 - 3*p**y - 18*p**4 = 0.
-6, -1, 0, 1
Let g(j) = -2*j + 20. Let c be g(-4). Let s = -25 + c. Let 10/11*m + 4/11 + 8/11*m**2 + 2/11*m**s = 0. Calculate m.
-2, -1
Let i(q) be the first derivative of -q**4/4 - 2*q**3 - 6*q**2 - 12*q - 17. Let u(v) be the first derivative of i(v). Find s such that u(s) = 0.
-2
Let n be 29 - 22 - (-3 + 19/2). Determine o so that -7/2*o**4 + 9/2*o**3 + o**5 - 5/2*o**2 + n*o + 0 = 0.
0, 1/2, 1
Suppose -11 - 6 + 39*p**2 + 48*p**2 + 81*p + 2 + 9 = 0. What is p?
-1, 2/29
Let r b