- j**6/60 - j**5/15 - 5*j**2 - 15*j. Let t(b) be the first derivative of v(b). Find z such that t(z) = 0.
-1, 0, 2
Factor -6 - 5*n**2 + 28 - 16 + 3*n - 4.
-(n - 1)*(5*n + 2)
Let t(r) be the first derivative of 3/4*r**4 - 25 - 12*r + 3*r**3 + 0*r**2. Suppose t(m) = 0. Calculate m.
-2, 1
Let m(d) be the first derivative of 2*d**3/9 + 6*d**2 + 197. Factor m(f).
2*f*(f + 18)/3
Let r = 7 + -7. Let o be (r - -1)*(4 + 6). Factor 4*s**4 + 27*s**3 + 42*s**2 - o*s**2 + 0*s**4 + 16*s - 7*s**3.
4*s*(s + 1)*(s + 2)**2
Determine a, given that 46*a**2 - 22*a**2 - 23*a**2 - 12*a + 27 = 0.
3, 9
Let u(i) be the first derivative of -63*i**4/8 - 101*i**3/4 - 105*i**2/8 - 3*i/2 + 819. Let u(y) = 0. Calculate y.
-2, -1/3, -1/14
Let z be (-7)/(-42) - 11/(-6). Let f(s) = -s**3 - 3*s**2 + 2*s - 5. Let i be f(-4). Let -q**4 - 25*q**3 + 3 - z*q - 2 + 27*q**i = 0. What is q?
-1, 1
Suppose -343 = -36*k - 343. Factor 0*h**3 + 0 + 0*h**2 - 1/2*h**4 + k*h - 5/4*h**5.
-h**4*(5*h + 2)/4
Let 2/3*i**5 + 40*i**3 + 256/3*i**2 + 256/3*i + 32 + 26/3*i**4 = 0. What is i?
-6, -2, -1
Let t(v) be the second derivative of -1/252*v**7 + 0 + 31*v + 1/120*v**5 + 0*v**2 + 0*v**3 - 1/180*v**6 + 1/72*v**4. Suppose t(h) = 0. What is h?
-1, 0, 1
Let m(b) be the first derivative of -b**7/168 - b**6/12 - b**5/2 - 5*b**4/3 + b**3 + 2. Let t(n) be the third derivative of m(n). Factor t(k).
-5*(k + 2)**3
Let t = -71 + 64. Let i(q) = -8*q**4 + 17*q**3 - q**2 - 17*q + 23. Let l(p) = -4*p**4 + 8*p**3 - 8*p + 12. Let h(j) = t*l(j) + 4*i(j). Solve h(z) = 0.
-1, 1, 2
Suppose -5*z + l - 1 = 4, 3*z - 5*l = -25. Suppose z = 3*a - 57 + 15. Find b, given that 14*b**4 - a*b**4 - 4*b**3 + 4*b**5 = 0.
-1, 0, 1
Suppose p + 3*v - 165 = 0, 4*p + 2*v - 684 = -2*v. Let f = p - 1215/7. Solve 0*m - 3/7*m**4 + 0 + 3/7*m**5 + 3/7*m**2 - f*m**3 = 0 for m.
-1, 0, 1
Let n(w) = -4*w**2 - 6*w - 6. Let o(d) be the second derivative of 3*d**4/4 + 11*d**3/6 + 6*d**2 + 5*d. Let i(t) = 5*n(t) + 2*o(t). Factor i(f).
-2*(f + 1)*(f + 3)
Let q = -48589/4 + 12148. Suppose 1/8*y**2 + 9/8 - q*y = 0. Calculate y.
3
Factor 7*z**4 + z**4 + 53*z - z**4 - 41*z**3 - 343 + 273*z**2 - 5*z**4 - 592*z.
(z - 7)**3*(2*z + 1)
Let v = 134179471/218320 - -1/218320. Let m = 617 - v. Suppose 2/5*b**2 + m*b + 18/5 = 0. What is b?
-3
Suppose 6*a - 15 - 15 = 0. Suppose 0 = a*f - 3*f - 6. Suppose -7*d**2 + 12*d**4 + 3*d + 19*d**2 - d**5 + 4*d**5 + 15*d**f + 3*d**3 = 0. Calculate d.
-1, 0
Let r be (0/(-4))/(-3*2/3). Suppose r = -21*x - 4 + 67. Factor 0*z**x + 0 - 1/3*z**4 + 1/3*z**2 + 0*z.
-z**2*(z - 1)*(z + 1)/3
Suppose 0 = 2*g, 0 = -2*i - 2*i - 4*g. Suppose 2*w + k - 4 = i, -w = -3*k + 2 + 10. What is j in 1/5*j + 1/5*j**3 + w - 2/5*j**2 = 0?
0, 1
Suppose 0 = v - 2*v + 3. Let q be (1/v)/((-2)/(-18)). Factor 3*d**3 - 3*d**q + 4*d**5 + 73*d**4 - 81*d**4.
4*d**4*(d - 2)
Suppose -2*h = h + 3*h. Let d(r) be the second derivative of 1/21*r**7 + 0*r**6 - 3/10*r**5 + h*r**3 + 0*r**2 + 5*r + 1/3*r**4 + 0. Factor d(a).
2*a**2*(a - 1)**2*(a + 2)
Let y be 385/(36/126 - 52/(-14)). Let r = y - 96. Find n, given that -1/4*n**3 - 3/4*n + 3/4*n**2 + r = 0.
1
Factor 4*w**2 + 6*w**2 + 0*w**2 - 22*w**3 - 14*w**2 - 4*w**2.
-2*w**2*(11*w + 4)
Let p(i) be the third derivative of 13*i**2 + 0 + 0*i + 1/240*i**5 + 1/96*i**4 + 0*i**3. What is c in p(c) = 0?
-1, 0
Find a such that -288*a**2 - 45*a**4 + 25*a**4 + 78*a**3 + 50*a**3 + 256*a - 64 = 0.
2/5, 2
Factor 8*c**2 - 35/2*c + 9 + 1/2*c**3.
(c - 1)**2*(c + 18)/2
Suppose -14*g**2 + 10*g + 21*g**2 - 12*g**2 = 0. Calculate g.
0, 2
Let -12/5 - 22/5*y + 12/5*y**4 + 2/5*y**5 + 0*y**2 + 4*y**3 = 0. Calculate y.
-3, -2, -1, 1
Let s(j) be the first derivative of j**5/15 + 2*j**4/3 + 7*j**3/3 + 11*j**2/3 + 8*j/3 - 17. Factor s(d).
(d + 1)**2*(d + 2)*(d + 4)/3
Suppose -7*o = -o - 24. Suppose 0 = v + 5, v = -4*x - o*v - 17. Solve -4/5 - 18/5*k**3 - 24/5*k**x + 22/5*k = 0.
-2, 1/3
Let o(x) = 17*x - 14. Let y be o(1). Let n(l) be the first derivative of 1/2*l + 3 - 1/8*l**2 - 1/12*l**y. Let n(i) = 0. What is i?
-2, 1
Let a be (-6)/13 + 349650/18200. Determine i, given that -125/4 - a*i - 15/4*i**2 - 1/4*i**3 = 0.
-5
Let o = -18/107 - -2267/12840. Let y(x) be the third derivative of 0 + 1/300*x**6 - 3*x**2 + 0*x**5 - 1/1680*x**8 + 0*x**7 - o*x**4 + 0*x + 0*x**3. Factor y(f).
-f*(f - 1)**2*(f + 1)**2/5
Let t(h) = 12*h**4 + 26*h**3 - 80*h**2 - 66*h + 24. Let m(y) = 59*y**4 + 131*y**3 - 401*y**2 - 331*y + 120. Let i(z) = 2*m(z) - 11*t(z). Solve i(n) = 0.
-3, -1, 2/7, 2
Let s(b) = -90*b + 3512. Let m be s(39). Factor 0*g - 16/7*g**m + 0 - 4/7*g**5 - 20/7*g**4 - 32/7*g**3.
-4*g**2*(g + 1)*(g + 2)**2/7
Let h = -168 - -261. Let l = h + -39. Find g, given that -4*g**4 + l + g**3 - 54 = 0.
0, 1/4
Let l(h) be the first derivative of -4*h**5/5 + 4*h**4 + 4*h**3 - 20*h**2 - 32*h - 111. Suppose l(d) = 0. What is d?
-1, 2, 4
Let m(q) be the second derivative of q**6/210 - q**5/35 - 3*q**4/14 - 10*q**3/21 - q**2/2 + 84*q. Let m(o) = 0. Calculate o.
-1, 7
Let p(q) = q**5 - q**4 + q**3. Let d(c) = -15*c**5 + 90*c**4 - 220*c**3 + 200*c**2 - 65*c. Let m(u) = -d(u) - 10*p(u). Determine j so that m(j) = 0.
0, 1, 13
Suppose -3*b + 71 = 59. Let c(x) be the second derivative of 0 - 3*x + 0*x**2 + 0*x**3 - 1/20*x**5 - 1/12*x**b. Determine p, given that c(p) = 0.
-1, 0
Let m(a) be the third derivative of -1/6*a**4 + 0*a - 1/420*a**7 + 1/30*a**5 - 1/672*a**8 - 25*a**2 + 1/40*a**6 + 0 + 0*a**3. Find w such that m(w) = 0.
-2, 0, 1, 2
Suppose 6 = -4*u + 26. Suppose -3*m - 1 = -2*y - 0, 3*y + u*m = 30. Find l such that 2/11*l**y - 2/11*l**3 + 0*l - 2/11*l**4 + 2/11*l**2 + 0 = 0.
-1, 0, 1
Let v(d) be the third derivative of 1/21*d**7 + 0 + 23*d**2 + 35/24*d**4 - 7/12*d**6 + 0*d + 5/3*d**3 + 5/48*d**8 - 1/3*d**5. Suppose v(t) = 0. What is t?
-1, -2/7, 1
Let a(i) = -55*i - 1098. Let r be a(-20). Determine g so that 6/7*g + 36/7*g**4 + 2/7 - 2*g**3 - 16/7*g**5 - 2*g**r = 0.
-1/2, -1/4, 1
Let d(u) = -u**3 + 12*u**2 - 13*u + 13. Let w be d(11). Let z = w - -19. Factor 18*b**2 - 4*b**4 + 6*b**4 + z*b**3 + 2*b**4 + 14*b + 4 - 2*b**4.
2*(b + 1)**3*(b + 2)
Let b(l) = -6*l**2 + 19*l - 35. Let m(n) = 3*n**2 - 9*n + 18. Let f be -9 + 6*2/4. Let u(o) = f*b(o) - 11*m(o). Find r, given that u(r) = 0.
1, 4
Suppose 3*d = f + 11, -11 - 19 = -2*d - 5*f. Solve 320*o**2 - 60*o - 80*o**3 - d*o**4 - 315*o**3 - 69*o**5 + 209*o**5 = 0.
-2, 0, 2/7, 3/4, 1
Let 225*v + 2*v**2 + 148*v + 211*v + 9959 + 32673 = 0. Calculate v.
-146
Let k(t) be the second derivative of -t**5/60 - t**4/12 - 5*t**2/2 + 26*t. Let h(g) be the first derivative of k(g). Solve h(a) = 0.
-2, 0
Solve 15*j**3 + 74*j**2 + 333*j**2 + 6237*j + 214*j**2 - 3969 = 0 for j.
-21, 3/5
Let m be 13/(-2)*(-508)/18161. Let -20/11*x + 18/11 + m*x**2 = 0. Calculate x.
1, 9
Let q(k) = 70*k**3 - 1006*k**2 + 727*k - 139. Let w(c) = 213*c**3 - 3017*c**2 + 2180*c - 419. Let r(p) = 14*q(p) - 4*w(p). Factor r(v).
2*(v - 15)*(8*v - 3)**2
Let x(b) = -80*b**2 - 36*b - 3. Let l(r) = -6*r**2 - 6. Let c(f) = -7*f**2 - 7. Let h(v) = -5*c(v) + 6*l(v). Let s(a) = 4*h(a) + 4*x(a). Factor s(d).
-4*(9*d + 2)**2
Let r = 8815 + -8815. Factor r - 3/4*t**4 + 0*t + 3/2*t**2 + 3/4*t**3.
-3*t**2*(t - 2)*(t + 1)/4
Suppose -2*m - 3*m = -50. Suppose -25*z = -30*z + m. Suppose 5/2 - 5*f**z - 5/2*f**3 + 5/2*f**4 + 5/4*f + 5/4*f**5 = 0. Calculate f.
-2, -1, 1
Let c(l) be the second derivative of 5*l**4/3 - 35*l**3/3 + 245*l**2/8 + 62*l. Factor c(d).
5*(4*d - 7)**2/4
Let 20*d + 16*d - 580*d**2 - 2*d**4 - 28*d**3 + 68*d**3 + 506*d**2 = 0. Calculate d.
0, 1, 18
Let t(c) be the first derivative of 4 + 2/35*c**5 + 1/7*c**4 - 8/21*c**3 - 2/7*c**2 + 6/7*c. Find a, given that t(a) = 0.
-3, -1, 1
Let a be ((-44)/12 - -3)*(-51)/289. Factor 0 + a*j**2 + 4/17*j.
2*j*(j + 2)/17
Let j(h) = -5*h**2 - 29*h + 10. Let k be j(-6). Factor 0*p**3 - 5/2*p**k + 15/2*p**2 + 0 - 5*p.
-5*p*(p - 1)**2*(p + 2)/2
Let y be -1 + 2 - 7/(-7). Factor -4*x + 4*x**3 + 15*x**2 - 33*x**y + 2*x**4 + 16*x**2.
2*x*(x - 1)*(x + 1)*(x + 2)
Let p(t) = t**3 - 4*t**2 - 22*t + 7. Let s be p(7). Suppose 0 = -4*h + 1 + 11, s = -3*n - 4*h + 18. Factor 2/7*c**n - 8/7*c + 8/7.
2*(c - 2)**2/7
Let a(g) be the third derivative of 9*g**6/40 + 47*g**5/20 + 23*g**4/4 + 4*g**3 + 2*g**2 + 168. What is q in a(q) = 0?
-4, -1, -2/9
Let b be 