t u(b) be the first derivative of -4*b**3/9 + 3. Factor u(i).
-4*i**2/3
Let d(o) be the first derivative of -1/6*o**4 - 1/30*o**5 + o + 2 + 0*o**3 + 4/3*o**2. Let x(z) be the first derivative of d(z). Find r, given that x(r) = 0.
-2, 1
Let x = 570 + -567. Find c such that 0 + 0*c**2 - 3/7*c**4 + 0*c - 6/7*c**x = 0.
-2, 0
Let o(l) = 6*l**3 - 2*l**2 + 2. Let t(r) = 12*r**3 - 3*r**2 + 5. Let p be 14/(-10) - 18/30. Let m(n) = p*t(n) + 5*o(n). Solve m(c) = 0 for c.
0, 2/3
Let z be 7 + -2 + 0/(-1). Let p(v) be the second derivative of 4/9*v**4 - 1/5*v**6 + 0 - 4/9*v**3 + 0*v**2 - v + 1/10*v**z. Determine x so that p(x) = 0.
-1, 0, 2/3
Find n such that -34/7*n**4 + 2/7*n + 0 + 24/7*n**5 - 2/7*n**3 + 10/7*n**2 = 0.
-1/3, -1/4, 0, 1
Let p = 159/1298 + 7/118. Solve -p*g**3 - 2/11*g + 4/11*g**2 + 0 = 0 for g.
0, 1
Let r(x) be the third derivative of x**9/20160 - x**7/560 + x**6/120 + x**5/30 + 5*x**2. Let y(i) be the third derivative of r(i). Find v, given that y(v) = 0.
-2, 1
Let r(k) be the second derivative of -k**5/20 - 5*k**4/12 - k**3/2 + 9*k**2/2 - 2*k. Determine q so that r(q) = 0.
-3, 1
Let g(z) = 12*z**3 + 10 + 4*z**2 + 2*z**3 + 1 + 13*z**2. Let j(q) = -5*q**3 - 6*q**2 - 4. Let x(n) = -4*g(n) - 11*j(n). Factor x(h).
-h**2*(h + 2)
Let 3/4*t - 1/4*t**2 - 1/2 = 0. What is t?
1, 2
Let h(x) be the second derivative of x**5/40 + x**4/24 - x**3/12 - x**2/4 - x. Let h(w) = 0. What is w?
-1, 1
Suppose 0 = 3*z + 2*z, -5*j + 3*z = 0. Suppose 5*w - 25 = 0, x + j*x + 17 = 4*w. Factor x - 4*n**3 + 5*n**3 - n - 3.
n*(n - 1)*(n + 1)
Let k(t) be the third derivative of t**8/100800 - t**7/8400 + t**6/1800 + t**5/60 - 2*t**2. Let o(z) be the third derivative of k(z). Factor o(f).
(f - 2)*(f - 1)/5
Suppose -5*q + 0*d - 4*d = -17, -2*q + 14 = -2*d. Factor 4*g + g**2 + 3*g - 1 - q*g + 2.
(g + 1)**2
Let d(g) = -g**5 + g**4 + 6*g**3 - 9*g**2 + 16*g - 3. Let j(m) = -m**2 - m. Let p(n) = 2*d(n) + 10*j(n). Find a such that p(a) = 0.
-3, 1
Suppose 8*f = 12*f - 16. Let w(i) be the third derivative of 1/336*i**8 - 3*i**2 + 0 + 0*i**5 + 0*i**3 + 0*i - 1/60*i**6 + 0*i**7 + 1/24*i**f. Factor w(d).
d*(d - 1)**2*(d + 1)**2
Let q be (-4)/(-10) - (-6)/10. Let t(a) = -a - 2 + 2 + q. Let n(b) = b**2 - 3*b + 2. Let c(y) = n(y) - t(y). Factor c(s).
(s - 1)**2
Let y = -3492 + 1885681/540. Let h(d) be the third derivative of 0*d**4 + 0 + 0*d - 1/270*d**5 + y*d**6 + 0*d**3 + 2*d**2. Factor h(z).
2*z**2*(z - 1)/9
Suppose 5*n + 2 = 6*n. Let b(h) be the first derivative of -2/5*h + 1 - 1/10*h**n + 1/15*h**3. What is z in b(z) = 0?
-1, 2
Let g(s) be the second derivative of 0 - 1/15*s**6 + 0*s**3 - 1/6*s**4 + s + 1/5*s**5 + 0*s**2. Determine t so that g(t) = 0.
0, 1
Suppose 4*k - 5*k + 2 = 0. Factor -2 - 4*u**k - 4*u**2 + 10*u**2.
2*(u - 1)*(u + 1)
Let d(s) = -7*s**4 + 49*s**3 + 67*s**2 - 13. Let w(u) = 3*u**4 - 24*u**3 - 33*u**2 + 6. Let r(t) = -6*d(t) - 13*w(t). Factor r(x).
3*x**2*(x + 3)**2
Let u(t) be the second derivative of 1/40*t**5 - 1/3*t**3 + 1/180*t**6 + 0*t**2 + 0 - t + 1/24*t**4. Let b(j) be the second derivative of u(j). Solve b(y) = 0.
-1, -1/2
Let l(d) be the third derivative of -d**6/780 - d**5/78 - 7*d**4/156 - d**3/13 + 6*d**2. Let l(a) = 0. Calculate a.
-3, -1
Let b(r) be the third derivative of r**7/84 + 7*r**6/240 - r**5/40 - 7*r**4/48 - r**3/6 + 9*r**2. Determine q, given that b(q) = 0.
-1, -2/5, 1
Let n(m) be the third derivative of m**6/8 - m**5/12 - 5*m**4/12 + 2*m**2 - 10*m. Find a such that n(a) = 0.
-2/3, 0, 1
Let v = 226/7 + -32. Factor 0*k**2 + 0 - 2/7*k**3 + 0*k - v*k**4.
-2*k**3*(k + 1)/7
Let j(t) = 11*t**2 - 10*t - 13. Let l(z) = -5*z**2 + 5*z + 6. Let x(w) = -4*j(w) - 9*l(w). Let v be x(6). Factor -2*q**5 + v*q**4 - 3*q**3 - 2*q**3 + 3*q**3.
-2*q**3*(q - 1)**2
Let m = 4 - 2. Suppose m*t - 8 = -2. Factor 2*z**2 + 2*z**4 + z**3 + 0*z**3 + t*z**3.
2*z**2*(z + 1)**2
Suppose -3*u - 2*d + 11 = 0, 0 = -3*u + 2*u - 4*d + 7. Let 2*v**2 + 3*v**u - 3*v**5 - 3*v**4 - 4*v**2 + 3*v**2 + 2*v**2 = 0. What is v?
-1, 0, 1
Let j = -2029/18 + 113. Let x(k) be the third derivative of 7/360*k**6 + 4/9*k**3 + j*k**4 + 0*k - 13/90*k**5 - k**2 + 0. Let x(o) = 0. What is o?
-2/7, 2
Determine z, given that -6*z - 7*z**4 - 11*z**4 + 2 + 16*z + 2*z**4 - 8*z**5 + 14*z**2 - 2*z**3 = 0.
-1, -1/2, 1
Let b be (1 - -2)*(-10)/(-15). Determine q so that 13 + q**2 - 10*q - 17 - 7*q**b = 0.
-1, -2/3
Suppose -22 = -4*r - 0*m + 3*m, 5*r + 4*m - 12 = 0. Suppose r*i = 0, 0*i + 5*i + 40 = 5*p. Solve -11*t + 0*t**2 + 4*t**2 + 2*t**5 - p*t**4 + 8*t**3 + t + 4 = 0.
-1, 1, 2
Let p(j) = -j**5 + j**4 + j**2. Let q(f) = -3*f**5 - 7*f**4 + 19*f**3 - 5*f**2 + 2*f. Let y(x) = 6*p(x) - q(x). Determine z, given that y(z) = 0.
0, 1/3, 1, 2
Let i be 3/(-24)*(-6)/45. Let t(z) be the third derivative of 1/336*z**8 + 0*z**3 + 1/210*z**7 - 2*z**2 + 0*z**4 - 1/120*z**6 + 0*z + 0 - i*z**5. Factor t(r).
r**2*(r - 1)*(r + 1)**2
Suppose 2*w + 9 = 15. Find h such that 2/3*h**4 - 2/3*h**2 - 2/3*h**w + 0 + 2/3*h = 0.
-1, 0, 1
Let x(z) be the first derivative of z**5/90 - z**4/27 + z**3/27 - z + 3. Let g(q) be the first derivative of x(q). Factor g(j).
2*j*(j - 1)**2/9
Suppose 75 - 195 = -5*g. Let j be (-1)/(-6) - (-4)/g. Suppose 1/3 - j*i**3 + i**2 - i = 0. Calculate i.
1
Factor -24/11*f + 72/11 + 2/11*f**2.
2*(f - 6)**2/11
Let v(g) be the third derivative of g**7/105 - g**6/15 + g**5/5 - g**4/3 + g**3/3 - 4*g**2. Determine y, given that v(y) = 0.
1
Let t = -8 - -11. Let q(y) be the second derivative of 2/5*y**2 + 1/5*y**t + 2*y + 1/30*y**4 + 0. Determine u, given that q(u) = 0.
-2, -1
Determine h, given that -146/7*h**3 - 2*h**5 - 8*h + 8/7 + 134/7*h**2 + 74/7*h**4 = 0.
2/7, 1, 2
Suppose -6*i = -7*i. Let w(f) be the third derivative of -1/420*f**6 + i*f**4 - 1/105*f**5 + 0 - 2*f**2 + 0*f + 0*f**3. Suppose w(r) = 0. What is r?
-2, 0
Let d(c) be the second derivative of -c**7/630 + c**6/360 + c**5/60 - c**4/72 - c**3/9 + 5*c**2/2 + 6*c. Let w(m) be the first derivative of d(m). Factor w(q).
-(q - 2)*(q - 1)*(q + 1)**2/3
Suppose -4*w = 2*j - 10, -j = -5*j + 3*w + 20. Let o(l) be the second derivative of 0*l**2 - 2*l + 1/10*l**3 + 0 + 3/20*l**4 + 3/50*l**j. Factor o(g).
3*g*(g + 1)*(2*g + 1)/5
Let f(c) be the third derivative of -c**6/960 - 7*c**5/480 - c**4/24 + c**3/3 + 26*c**2. Factor f(l).
-(l - 1)*(l + 4)**2/8
Let x be ((-3)/(-2))/((-3)/(-28)). Determine b so that -2*b**5 + 12*b**4 + 3*b**3 + 3 - 3 + x*b**5 = 0.
-1/2, 0
Factor b**3 - 10*b + 4*b - 9*b + 2*b - b**4 + 7*b**2 + 6.
-(b - 2)*(b - 1)**2*(b + 3)
Let a(k) = k**2 + 2*k. Let v(r) = 2*r**2 + 3*r. Let h(o) = 5*a(o) - 2*v(o). Suppose h(z) = 0. What is z?
-4, 0
Let p(q) be the third derivative of -q**6/35 + 11*q**5/210 - q**4/42 - 2*q**2. Factor p(a).
-2*a*(3*a - 2)*(4*a - 1)/7
Suppose 12 - 490/3*p**3 - 224/3*p**2 + 26*p = 0. What is p?
-3/7, 2/5
Let s be (-6)/(-4)*(5 + -3). Factor -13*n**2 + 2*n + 25*n**3 + 2*n - 10*n**2 + s*n**2.
n*(5*n - 2)**2
Let d(q) = 2*q**2 - 2*q + 10. Let g(y) = -1. Let o(n) = d(n) + 10*g(n). Solve o(k) = 0 for k.
0, 1
Factor -9*l - 75*l**4 - 7*l - 13*l**2 + 4*l - 2*l**3 + 4 + 73*l**3 + 25*l**5.
(l - 1)**3*(5*l - 2)*(5*l + 2)
Let y(i) = -i**2 - 17*i + 42. Let o be y(-18). Let c = -95/4 + o. Determine p so that -1/4*p**3 + 0 + 1/4*p + 1/4*p**2 - c*p**4 = 0.
-1, 0, 1
Let l = -4 + 3. Let t(d) = 33*d**3 + 3*d**2 - 36*d + 12. Let s be (-42)/(-9)*(-54)/21. Let f(m) = -m**3 + m**2 - m. Let q(c) = l*t(c) + s*f(c). Factor q(r).
-3*(r - 1)*(r + 2)*(7*r - 2)
Let m(u) be the first derivative of -u**6/54 + u**4/36 + 13. Factor m(o).
-o**3*(o - 1)*(o + 1)/9
Suppose 8/15 - 2/5*m - 2/15*m**2 = 0. Calculate m.
-4, 1
Let x(n) = -2*n**2 + 0*n + 2*n - 3*n + n**2. Let j(i) = -3*i**2 - 4*i. Let b(v) = 3*j(v) - 6*x(v). Suppose b(z) = 0. Calculate z.
-2, 0
Let f(b) = -b**2 + 3*b + 9. Let y be f(4). Find v such that 0 + 2/3*v + v**3 - 1/3*v**y - 5/3*v**2 + 1/3*v**4 = 0.
-2, 0, 1
Let a(l) be the third derivative of l**5/80 - 19*l**4/16 + 361*l**3/8 + 34*l**2. Factor a(t).
3*(t - 19)**2/4
Let n = 105 - 103. Solve -4/9*z + n*z**2 + 0 = 0 for z.
0, 2/9
Suppose 9 = 3*v - 0. Suppose -v = t - 5. Solve 8/3*y + 0 + 56/3*y**t - 56/3*y**4 + 30*y**3 - 98/3*y**5 = 0 for y.
-1, -2/7, 0, 1
Let h be 5/(-4)*8/(-2). Let p(x) = -4*x**3 + 5*x**2 + 6*x + 6. Let n(t) = -4*t**3 + 4*t**2 +