/40 - y**4/4 + y**3 + 6*y**2 - 15*y + 24. Let n(r) be the first derivative of j(r). Determine q so that n(q) = 0.
-2, 2
Determine a so that 1/2*a**3 - 243/2 + 27/2*a + 15/2*a**2 = 0.
-9, 3
Let a be (255/(-60) + (-3 + 7 - 0))*0. Let -6/17*j**2 + a*j + 8/17 - 2/17*j**3 = 0. Calculate j.
-2, 1
Let m(i) be the second derivative of 0*i**2 - 10*i - 1/6*i**4 - 1/3*i**3 - 1/84*i**7 + 1/30*i**6 + 0 + 3/40*i**5. Factor m(p).
-p*(p - 2)**2*(p + 1)**2/2
Find o, given that -444*o**3 + 12*o + 220*o**4 + 220*o**2 - 442 + 871 - 437 = 0.
-2/11, 1/5, 1
Let o(r) be the third derivative of r**6/40 - r**5 + 117*r**4/8 - 81*r**3 + 27*r**2 - 2. Suppose o(d) = 0. What is d?
2, 9
Factor 4/5*z**3 + 18/5*z**2 + 24/5*z + 8/5.
2*(z + 2)**2*(2*z + 1)/5
Suppose 216*w + 238*w + 24*w**2 - 44*w**3 - 77*w**4 - 194*w**3 - 119*w**4 - 382*w = 0. What is w?
-6/7, 0, 1/2
Suppose 2*f = 4*p - 26, -p + 5*f = -26 - 3. Factor 40*n**3 + 5*n**4 + 0*n**p + 6 - 6.
5*n**3*(n + 8)
Factor 0*a**2 - 1/3*a**5 - 1/3*a**4 + 0*a + 2*a**3 + 0.
-a**3*(a - 2)*(a + 3)/3
Let m(w) = -3*w**2 + 23*w + 6. Let a be m(8). Let r be ((-3)/12*a)/1. What is i in 1/2*i**3 - 1/2*i**2 - 1/2*i + r = 0?
-1, 1
Let y(w) = -2*w**2 - 21*w + 17. Let d be y(-11). Let m be 70/d - (12 + -17). Solve -m*a**2 - 40/3*a - 8/3 = 0.
-2/5
Let s(o) be the third derivative of -o**7/210 + o**6/30 + o**5/20 - 5*o**4/12 - 4*o**3/3 + 63*o**2. Find l, given that s(l) = 0.
-1, 2, 4
Let a(j) be the first derivative of -j**4/3 - 10*j**3/3 - 8*j**2 + j - 12. Let w(f) be the first derivative of a(f). Find m such that w(m) = 0.
-4, -1
Let v be 4/(-6) + ((-245)/21)/(-7). Let q(t) be the first derivative of 3/14*t**2 + 0*t - v - 1/7*t**3. Factor q(s).
-3*s*(s - 1)/7
Suppose 0*a + 0*a**4 + 0 - 4/7*a**2 - 6/7*a**3 + 2/7*a**5 = 0. What is a?
-1, 0, 2
Let n = 178/145 - 24/29. Let u(k) be the first derivative of 6 + 1/2*k**4 + 0*k**2 + 2/9*k**3 + n*k**5 + 0*k + 1/9*k**6. Factor u(i).
2*i**2*(i + 1)**3/3
Let i(a) be the third derivative of 361*a**5/40 - 19*a**4/2 + 4*a**3 - 49*a**2. Factor i(t).
3*(19*t - 4)**2/2
Let u(y) be the third derivative of -2/15*y**6 + 14/3*y**4 + 0 + 0*y - 98/9*y**3 + 13*y**2 - 2/315*y**7 - 22/45*y**5. Determine n so that u(n) = 0.
-7, 1
Let c(t) be the first derivative of -4*t**3/9 + 6*t**2 + 448*t/3 + 650. Solve c(l) = 0.
-7, 16
Let i(c) = -c**4 + 5*c**3. Let m(a) = a**4 - 6*a**3 + 2*a**2. Let b(z) = 7*i(z) + 6*m(z). Solve b(v) = 0.
-4, 0, 3
Suppose -4*m - 270 = 150. Let u be (-21)/m + (-6)/(-20). Factor 0 + 1/4*p**2 + u*p.
p*(p + 2)/4
Let w(u) be the first derivative of 3/17*u**2 - 8/85*u**5 + 8/51*u**3 + 25 + 0*u - 1/51*u**6 - 1/17*u**4. Determine k so that w(k) = 0.
-3, -1, 0, 1
Let m(i) be the second derivative of 6*i + 0*i**3 - 1/15*i**5 - 1/12*i**4 + 0 - i**2 - 1/60*i**6. Let z(y) be the first derivative of m(y). Solve z(v) = 0.
-1, 0
Let y(x) be the first derivative of 11 + 18*x + 8/3*x**3 - 12*x**2. Solve y(w) = 0 for w.
3/2
Let u be 4/2*(-9)/(-6). Suppose 2*n + 2*n - 17 = -u*h, -2*h + 6 = 0. Factor -1 - 3 - z**2 - n*z - 1 + 4.
-(z + 1)**2
Let q(f) be the first derivative of f**6/10 - 9*f**5/25 + 4*f**3/5 + 7. Determine m, given that q(m) = 0.
-1, 0, 2
Let o = 10 - 88/9. Let j(n) be the first derivative of o*n**3 - 1/3*n**2 + 1/6*n**4 - 2/3*n - 2. Factor j(a).
2*(a - 1)*(a + 1)**2/3
Let b(f) = 18*f**2 + 24*f + 6. Let p = -15 + 6. Let w(h) = -h + 7*h**2 - 4*h**2 - 4*h**2. Let v(u) = p*w(u) - b(u). Determine n, given that v(n) = 0.
-1, -2/3
Let o(r) be the first derivative of r**6/15 - 4*r**5/25 - 7*r**4/10 - 8*r**3/15 - 299. Factor o(d).
2*d**2*(d - 4)*(d + 1)**2/5
Let h(g) be the second derivative of -5*g + 8/3*g**2 + 0 + 1/36*g**4 + 4/9*g**3. Factor h(w).
(w + 4)**2/3
Let g(i) = 9*i**2 + i - 3. Let x(c) = 3*c. Let v be x(2). Let u be g(v). Determine s, given that -105*s**4 - 234*s**2 + 5*s + 3*s - u*s**3 - 2*s + 24 + 6*s = 0.
-2, -1, -2/5, 2/7
Let t = 10 + -24. Let v = -1 - t. Find z, given that -4*z - 4*z + 10*z**2 - v*z**2 + 2*z - 3 = 0.
-1
Let i(h) = -h**2 + 3*h + 8. Let u be i(4). Factor 4*q**5 - 13*q**u + 3*q**2 + 25*q**4 + q**2 + 12*q**3.
4*q**2*(q + 1)**3
Suppose 3*s + 9 = 0, 3*s - 17 + 6 = -5*u. Let -5*i**2 - 5*i**3 + 30*i**u + 6*i - 25*i**4 - i = 0. What is i?
-1, 0, 1
Let r(c) be the second derivative of -c**7/147 + 8*c**6/105 + 9*c**5/70 - 390*c. Let r(f) = 0. What is f?
-1, 0, 9
Let n(w) = w**3 - 10*w**2 + 2*w + 2. Let p(r) = r**3 - 12*r**2 + 3*r + 3. Let g(b) = 3*n(b) - 2*p(b). What is d in g(d) = 0?
0, 6
Let j(r) = -r**3 - 32*r**2 - 65*r - 147. Let f be j(-30). Determine m so that 9/8*m**4 - 33/8*m**2 - 3/8*m**5 + 9/2*m - 3/2 + 3/8*m**f = 0.
-2, 1, 2
Let p(d) be the third derivative of 2*d**5/15 + 11*d**3/6 + 6*d**2. Let f(r) = -3*r**2 - 4. Let n(q) = 11*f(q) + 4*p(q). Determine x so that n(x) = 0.
0
Let n(f) = -f**2 - f. Let j = -77 + 113. Let l = -20 + j. Let g(p) = 6*p**2 + 6*p. Let u(h) = l*n(h) + 3*g(h). Solve u(z) = 0.
-1, 0
Suppose 5*k**3 + 1760*k - 5160 + 57*k**2 + 1159 - 3259 + 115*k**2 + 33*k**2 = 0. Calculate k.
-22, 3
Let y(b) be the second derivative of -4*b**6/15 - 27*b**5/5 + 15*b**4 - 2*b**3/3 - 30*b**2 - 444*b. Suppose y(o) = 0. Calculate o.
-15, -1/2, 1
Suppose 2/3*b**3 - 2/3*b - 4/3*b**2 + 0 + 4/3*b**4 = 0. What is b?
-1, -1/2, 0, 1
Suppose -36 - 2/7*v**3 - 256/7*v**2 - 506/7*v = 0. What is v?
-126, -1
Determine q, given that 8/11 - 10/11*q + 2/11*q**2 = 0.
1, 4
Let 20*z**4 - 1221 - 310*z**4 + 1131 - 1060*z**2 + 850*z**3 + 555*z + 35*z**5 = 0. What is z?
2/7, 1, 3
Let 4/3*m + 0 - 2/9*m**2 - 2/9*m**3 = 0. Calculate m.
-3, 0, 2
Let g(s) be the second derivative of 0 + 22*s - 3/40*s**4 - 1/300*s**6 - 1/10*s**2 - 1/40*s**5 - 7/60*s**3. Suppose g(k) = 0. What is k?
-2, -1
Let a(l) be the third derivative of -l**5/30 - 31*l**4/6 - 961*l**3/3 - 18*l**2 - 1. Factor a(w).
-2*(w + 31)**2
Let d = 3 - -1. Suppose 0*s + 4*s - 80 = 4*k, 3*s + k = 80. Find r, given that 2 + d*r**2 - 18*r + s*r - r**2 = 0.
-2, -1/3
Let r(f) be the first derivative of -2*f**2 + f**4 - 2/3*f**3 + 3/5*f**5 - f + 5. Suppose r(u) = 0. Calculate u.
-1, -1/3, 1
Let l(w) = -w**2 + 3*w + 4. Let i be l(0). Factor 10*k**4 - 90*k**i + k**3 - 4*k**2 + 0*k**5 + 31*k**3 + 64*k**5.
4*k**2*(2*k - 1)**2*(4*k - 1)
Suppose -5*r = -0 - 10. Suppose -4*w = -5*n - 32, 0 = 3*w - 8*w + 5*n + 35. Find m, given that 5*m - r*m - m**3 + m**w - 3*m**3 = 0.
-1, 0, 1
Let p be 112/159 + (-6)/9. Let o = p - -100/159. Let o*x + 0 - 2/3*x**3 + 2*x**4 - 2*x**2 = 0. Calculate x.
-1, 0, 1/3, 1
Let p(a) = a**3 - 3*a**2 + 6*a + 3. Let l be p(5). Solve l*s**2 - 78*s**2 + 3*s**3 + 3*s - s = 0 for s.
-1, -2/3, 0
Let a(q) = -q**2 - 16*q + 9. Let c(d) = 2*d**2 + 17*d - 9. Let f = -20 + 16. Let p(n) = f*c(n) - 5*a(n). Factor p(m).
-3*(m - 3)*(m - 1)
Let o = -1/2288 - -2291/6864. Factor 4/3*z**2 + o*z**3 + z + 0.
z*(z + 1)*(z + 3)/3
Let y(c) be the third derivative of c**9/13608 - c**7/3780 + 11*c**3/6 + 9*c**2. Let i(r) be the first derivative of y(r). Solve i(x) = 0.
-1, 0, 1
Determine k so that -115*k + 2*k + 2*k + 5*k**2 - 3*k**2 - 210 - 5*k**2 = 0.
-35, -2
Factor -35*j**4 - 45*j**2 + 81*j + 12*j**4 + 15*j**4 + 54*j + 13*j**4 - 15*j**3.
5*j*(j - 3)**2*(j + 3)
Solve -96*k**3 + 159*k**3 - 77*k**3 + 64*k**2 - 13*k**4 - 3 - 34*k = 0 for k.
-3, -1/13, 1
Suppose 3*j - 2*k - 5 = -7*k, 15 = j - 5*k. Let r be (j/(-4))/5 - (-335)/60. Factor -25/3*i**3 - 7/3*i + 1/3 + 19/3*i**2 + r*i**4 - 4/3*i**5.
-(i - 1)**3*(2*i - 1)**2/3
Let s(a) = -a**2 - 3*a + 1. Suppose 3*r + 4 = 4*q, -q + 4*r - 6 = 5*r. Let b be s(q). Suppose -4*k**3 + 2*k**b + 4*k**4 + 0*k**3 = 0. Calculate k.
0, 1/2
Factor 113/2*z - 37/2*z**2 - 3.
-(z - 3)*(37*z - 2)/2
Let f(v) = 15*v**3 + 33*v**2 + 66*v + 30. Let a(q) = 13*q**3 + 32*q**2 + 67*q + 35. Let o(k) = 6*a(k) - 5*f(k). Factor o(m).
3*(m + 2)**2*(m + 5)
Let x(o) be the second derivative of o**6/60 - 13*o**5/20 + 9*o**4 - 81*o**3/2 - 729*o**2/4 + 8*o + 2. Factor x(u).
(u - 9)**3*(u + 1)/2
Suppose 0 = -5*h - 3*b + 35, 0*b - 45 = -2*h + 5*b. Let r = 10 - h. Suppose -z + r*z**2 - 4*z**2 + 4*z**2 + z**2 = 0. What is z?
0, 1
Let p(r) be the first derivative of -5/38*r**4 - 12 + 4/19*r - 7/19*r**2 + 2/95*r**5 + 6/19*r**3. Determine o, given that p(o) = 0.
1, 2
Let b = -441/568 - -64/71. Suppose b*z**2 + 0 - 1/8*z**3 + 0*z = 0. Calculate z.
0, 1
Let d be (-6