ative of -2*b**5/5 + b**4 + 14*b**3/3 + 4*b**2 + 296. Let n(r) = 0. Calculate r.
-1, 0, 4
Let v = -2366 + 2368. Solve 2/9*s**3 + 2/3*s - 2 + 10/9*s**v = 0.
-3, 1
Let f(j) be the second derivative of j**4/24 - 4*j**2 + 40*j. Let f(b) = 0. What is b?
-4, 4
Let m(j) = -j**4 + 33*j**3 + 36*j**2 - 4*j + 2. Let o(p) = 3*p**4 - 132*p**3 - 144*p**2 + 18*p - 9. Let u(w) = 9*m(w) + 2*o(w). Factor u(f).
-3*f**2*(f - 12)*(f + 1)
Factor 2*h**2 + 6*h + 162 - 19*h + 16*h + 33*h.
2*(h + 9)**2
Let d = -12 + 1. Let j = -6 - d. Determine y so that y**2 + 5*y**2 + 9*y**3 + 6*y**j - 9*y**5 = 0.
-1, 0, 2
Let p(j) be the second derivative of 0 - 50/3*j**3 + 5/4*j**4 + 30*j**2 + 6*j. Let p(l) = 0. Calculate l.
2/3, 6
Solve 2/9*l**2 + 238/9 - 80/3*l = 0.
1, 119
Suppose 5*z - 7 - 3 = 0. Let q be -4*(5 - z)/(-3). Find c such that -23*c + 4 + 29*c - q*c**2 + 6*c**2 = 0.
-2, -1
Factor -40*j**4 - 5*j**3 + 3657*j - 3657*j.
-5*j**3*(8*j + 1)
Let j be 5/((-55)/(-2)) - (-532)/(-22). Let t = 26 + j. Determine v so that 2/11*v**t + 2/11 - 4/11*v = 0.
1
Let f = -750 + 753. Factor -1/4*x**f + 1/4*x - 1/4*x**4 - 1/2 + 3/4*x**2.
-(x - 1)**2*(x + 1)*(x + 2)/4
Let p(q) = q. Let j be p(-17). Let a = j - -20. What is r in r**2 + a*r**3 - 2*r**4 - 12*r**5 + 4*r + 11*r**5 + 7*r**2 = 0?
-2, -1, 0, 2
Suppose 16*k = 22*k - 90. Let o be (19 - k)*3/(-8) + 2. Factor -o*s**2 + 1/2*s**4 - s**3 + s + 0.
s*(s - 2)*(s - 1)*(s + 1)/2
Let k(u) = u**3 - 28*u**2 - 4*u + 115. Let o be k(28). Let d(j) be the second derivative of 0 + 1/10*j**2 + 1/30*j**4 + 1/10*j**o - j. Let d(f) = 0. What is f?
-1, -1/2
Let z(x) be the first derivative of 6 - 8*x - 3/7*x**2 - 1/42*x**4 + 4/21*x**3. Let c(u) be the first derivative of z(u). Factor c(o).
-2*(o - 3)*(o - 1)/7
Suppose -n + 9*n - 14 = 2. Factor 9/4*p**3 - 21/4*p**n - 1 + 4*p.
(p - 1)*(3*p - 2)**2/4
Let q = -6253 - -6253. Find u such that q + 6*u**2 - 6*u - 3/2*u**3 = 0.
0, 2
Suppose -6/13*k**5 + 16/13*k**2 + 0 - 16/13*k**4 + 8/13*k - 2/13*k**3 = 0. Calculate k.
-2, -1, -2/3, 0, 1
Let l(b) = -3*b**3 - 2*b**2 - 4*b. Suppose -2*o = -j, 4*o = 2*j - o - 1. Let q be l(j). Solve -s**2 - 5*s + 15*s**4 + 4*s**2 - s + q*s**3 = 0 for s.
-1, 0, 2/5
What is r in 0 + 5/3*r**3 - 10/3*r**2 - 40*r = 0?
-4, 0, 6
Let c(w) be the second derivative of w**6/45 + w**5/5 + 11*w**4/18 + 2*w**3/3 - 31*w. Let c(q) = 0. Calculate q.
-3, -2, -1, 0
Find d such that 1225/3*d**5 - 60*d**3 + 0 + 70*d**4 - 40/3*d**2 + 0*d = 0.
-2/7, 0, 2/5
Suppose l = 5*z + 90, 2*l + 4*z - 49 = 117. Suppose 8*j + l = 25*j. Find n such that n**3 + 4*n**2 - 4*n**4 + 4/5*n + 0 - 9/5*n**j = 0.
-2, -1, -2/9, 0, 1
Let q = -807 + 4043/5. Factor q - 2/5*v**2 + 6/5*v.
-2*(v - 4)*(v + 1)/5
Let i = -7 - -7. Suppose -p + 3*y = p - 39, p - 3*y - 15 = i. Factor -26*t**3 - 4*t + t**2 + p*t**3 + 5*t**2.
-2*t*(t - 2)*(t - 1)
Let h be 2/(-120)*(-33)/22. Let l(y) be the second derivative of 2*y + 0*y**4 + 0*y**2 - 1/84*y**7 + 1/30*y**6 - h*y**5 + 0*y**3 + 0. Factor l(s).
-s**3*(s - 1)**2/2
Find j, given that -44/5*j**2 + 4/5*j**3 + 12/5*j**4 + 48/5*j - 16/5 - 4/5*j**5 = 0.
-2, 1, 2
Let z be (-36)/(-15) + 10/(-25). Let i = z - 0. Factor 3*o**5 + i*o + 2 - 2*o**5 + 0*o - 4*o**3 + o**5 + 2*o**4 - 4*o**2.
2*(o - 1)**2*(o + 1)**3
Let j = 21 + -16. Let d(a) = 2*a**5 - a**4 + 4*a**3 - 8*a**2 - 2*a + 5. Let z(s) = s**5 - s**3 - s**2 + 1. Let k(t) = j*z(t) - d(t). Factor k(u).
u*(u - 1)**2*(u + 2)*(3*u + 1)
Let m be (45/24)/(-3) + 1. Factor -15/8*f + 9/8 + 3/8*f**2 + m*f**3.
3*(f - 1)**2*(f + 3)/8
Let j(o) be the second derivative of 5*o**4/36 - 85*o**3/18 - 95*o**2/3 - 3*o + 20. Suppose j(v) = 0. Calculate v.
-2, 19
Let m(z) be the second derivative of z**7/8 - 3*z**6/4 - 207*z**5/80 - 5*z**4/4 + 3*z**3/2 - 2*z - 40. What is u in m(u) = 0?
-1, 0, 2/7, 6
Let x(d) be the first derivative of d**3/18 - d**2/6 + d/6 + 249. Let x(o) = 0. Calculate o.
1
Let i(g) = 9*g**2 + 525*g - 655. Let k(l) = 3*l**2 + 171*l - 218. Let z(c) = 4*i(c) - 11*k(c). Factor z(f).
3*(f - 1)*(f + 74)
Let g be ((-40)/(-32))/(6/16). Find x such that 0 - g*x**2 + 2*x**3 - 2/3*x**5 + 2/3*x**4 + 4/3*x = 0.
-2, 0, 1
Let k(x) be the second derivative of x**6/105 - x**5/35 - 5*x**4/42 + 2*x**3/7 + 32*x. Determine h so that k(h) = 0.
-2, 0, 1, 3
Let a(r) be the second derivative of r**7/42 + 13*r**6/30 + 17*r**5/10 - 31*r**4/6 - 35*r**3/6 + 49*r**2/2 - r + 14. Factor a(n).
(n - 1)**2*(n + 1)*(n + 7)**2
Let u(g) be the first derivative of 49*g**5/20 - 21*g**4/4 + 9*g**3/2 + 6*g**2 + 8. Let b(t) be the second derivative of u(t). Determine k, given that b(k) = 0.
3/7
Factor 0 + 1/4*i**3 + i - i**2.
i*(i - 2)**2/4
Let y(m) be the first derivative of m**6/360 - m**5/60 + m**4/24 + 10*m**3 - 25. Let d(n) be the third derivative of y(n). Factor d(l).
(l - 1)**2
Let b(g) be the third derivative of -g**8/35 + 412*g**7/175 + 431*g**6/200 - 193*g**5/25 - 83*g**4/8 - 26*g**3/5 - 813*g**2. Suppose b(l) = 0. What is l?
-1, -1/4, 1, 52
Let a(y) be the third derivative of y**8/6720 - y**7/210 + y**6/15 + 31*y**5/60 - 40*y**2. Let k(w) be the third derivative of a(w). Let k(x) = 0. Calculate x.
4
Let n(z) = z**2 + 6*z - 5. Let o be n(-7). Factor 18*x**2 - 4*x**3 + x**3 + 15*x - o*x**3 - 28*x**2.
-5*x*(x - 1)*(x + 3)
Suppose -10 - 2 = 4*t. Let k be (t - -4)*24/10. Determine j, given that 0 + 4/5*j**2 - k*j = 0.
0, 3
Let w = -6 + 45/7. Let y = w + 1/14. Find v such that y*v**2 + v + 1/2 = 0.
-1
Determine c, given that 20/13*c**2 + 12/13 + 38/13*c = 0.
-3/2, -2/5
Let b be -2*(-3)/6 + 276/69. Suppose w - 19 = -0*w. Let -w - 2 + 48*k + b - 20*k**2 = 0. Calculate k.
2/5, 2
Let b = 117/88 + 1/264. Factor 4/3*m**2 + 0*m + 0 + b*m**3.
4*m**2*(m + 1)/3
Let l(i) = -5*i**2 + 13*i - 18. Let w(c) = c**2 + c. Let f be (6 + -3 - 1) + 0 + 0. Let k(z) = f*w(z) + l(z). Let k(d) = 0. Calculate d.
2, 3
Let x be 0/((-21)/9 + (-10)/(-30)). Factor -4/7*v**4 + 0 + 0*v + x*v**3 + 0*v**2.
-4*v**4/7
Let r = -96 + 101. Determine u so that -2138*u**r - 6*u + 4*u + 4*u**3 + 2136*u**5 = 0.
-1, 0, 1
Let m(v) be the third derivative of v**6/300 - 153*v**5/50 + 23409*v**4/20 - 1193859*v**3/5 - 2*v**2 + v. Factor m(n).
2*(n - 153)**3/5
Let n be (36/(-6) - -1) + 5. Factor n - 1/2*u**2 + u.
-u*(u - 2)/2
Let d(b) be the second derivative of -20*b - 5/48*b**4 + 1/16*b**5 + 1/24*b**6 + 0 - 5/24*b**3 + 0*b**2. Find m, given that d(m) = 0.
-1, 0, 1
Let s(x) be the first derivative of 1/3*x**6 + 0*x + 13/2*x**4 + 12/5*x**5 - 17 + 8*x**3 + 4*x**2. What is g in s(g) = 0?
-2, -1, 0
Let x(k) be the first derivative of 0*k + 1/3*k**3 + k**2 + 8. What is j in x(j) = 0?
-2, 0
Let 0*m + 0*m**3 + 3/5*m**4 - 3/5*m**2 + 0 = 0. What is m?
-1, 0, 1
Let t(q) be the second derivative of 5*q**4/54 - 19*q**3/27 - 4*q**2/9 - 152*q. Let t(w) = 0. What is w?
-1/5, 4
Let m(i) be the third derivative of 0*i - 18*i**2 + 0*i**4 + 1/40*i**6 + 0 - 2*i**3 + 3/20*i**5. Find j, given that m(j) = 0.
-2, 1
Let n(r) be the first derivative of -r**5/5 + 3*r**4/4 - r**3 + r**2/2 - 300. Solve n(h) = 0.
0, 1
Let d be (-1 + 7)/((-84)/(-28)). Let m(f) be the first derivative of 1/2*f**d + 3/2*f**4 + 1/6*f**6 + 4/5*f**5 + 4/3*f**3 + 1 + 0*f. Let m(h) = 0. Calculate h.
-1, 0
Suppose z + s - 15 = 26, 0 = z + 3*s - 45. Factor 3*u**4 + 12 - 151*u - 132*u + 247*u - 18*u**3 + z*u**2.
3*(u - 2)**2*(u - 1)**2
Let u(d) be the second derivative of -d**5/80 + d**3/6 + d + 22. Factor u(v).
-v*(v - 2)*(v + 2)/4
Let y = 6 + -2. Suppose -25 + 5 = y*a. Let q(g) = -g**2 - g + 4. Let k(z) = -2*z**2 - 2*z + 9. Let w(x) = a*q(x) + 2*k(x). Find u such that w(u) = 0.
-2, 1
Let l(u) = -15*u**3 - u. Let d be l(-1). Let x = 18 - d. Factor 0 + x*g**2 - 6*g**2 - 8 + 12*g + 0.
-4*(g - 2)*(g - 1)
Let c(m) = 14*m**4 + 22*m**3 - 4*m**2 + 4. Let n(p) = -p**3 + 1. Let d(q) = -c(q) + 4*n(q). Factor d(x).
-2*x**2*(x + 2)*(7*x - 1)
Let z(a) be the second derivative of a**8/4200 - a**7/700 + a**6/450 + a**3 + 22*a. Let g(p) be the second derivative of z(p). Solve g(d) = 0.
0, 1, 2
Let a be (153/18 + -7)/180. Let r(j) be the third derivative of 0*j**3 + 0*j + 0*j**4 - 4*j**2 + 1/336*j**8 - 1/30*j**5 - a*j**6 + 0 + 1/105*j**7. Factor r(x).
x**2*(x - 1)*(x + 1)*(x + 2)
Let r(d) = 3*d**4 + 17*d**3 - 27*d**2 + d + 6. Let g(s) = -s + 1. Let k(c) = -6*g(c) + r(c). Suppose k(f) = 0. What is f?
-7, 0, 1/3, 1
Let