Solve q(j) = 0.
-2, 2
Let q = -1468 + 1470. Solve 29/4*h**3 + 7/4*h**5 + 15/2*h**4 - q - 11/2*h**2 - 9*h = 0 for h.
-2, -1, -2/7, 1
Let 10/3*v - 1/3*v**2 - 7 = 0. What is v?
3, 7
Suppose 13*q + 22 = 5*i + 16*q, -13 = -4*i - 7*q. Suppose -6/7*p**4 + 0*p + 6/7*p**3 + 0 + 2/7*p**i - 2/7*p**2 = 0. What is p?
0, 1
Let m(u) be the first derivative of -u**6/9 - 16*u**5/15 - u**4 + 80*u**3/9 - 25*u**2/3 - 46. Factor m(k).
-2*k*(k - 1)**2*(k + 5)**2/3
Let d(l) = 24*l**4 - 1444*l**3 - 1088*l**2 + 324*l. Let g(j) = j**4 + j**2 - 5*j. Let r(h) = d(h) - 8*g(h). Suppose r(a) = 0. Calculate a.
-1, 0, 1/4, 91
Let c(f) be the third derivative of 5*f**8/504 + 2*f**7/315 - f**6/36 - f**5/45 - 67*f**2. Let c(u) = 0. Calculate u.
-1, -2/5, 0, 1
Let c = 71 - 51. Factor c*q**2 + 15*q + 11*q + 20 - 10*q - 24*q**2.
-4*(q - 5)*(q + 1)
Let t = 715/474 + -2/237. Suppose -5*q = 2*f - f - 17, -4*f - 4*q + 20 = 0. Factor 19/4*m + t - 7/4*m**f.
-(m - 3)*(7*m + 2)/4
Solve -2*z**3 - 10*z**2 + z**2 + 4*z - 4*z - z**3 = 0 for z.
-3, 0
Let k(h) be the second derivative of 3*h - 1/540*h**6 + 0 - 1/2*h**3 + 0*h**2 + 1/60*h**5 - 1/18*h**4. Let l(r) be the second derivative of k(r). Factor l(u).
-2*(u - 2)*(u - 1)/3
Let r(h) be the third derivative of -24*h**2 - 1/6*h**4 - 4/3*h**3 + 0 + 0*h + 1/15*h**5. Factor r(y).
4*(y - 2)*(y + 1)
Let v(a) be the first derivative of 7*a + 4 + 1/6*a**4 + a**2 + 2/3*a**3. Let p(r) be the first derivative of v(r). Determine o, given that p(o) = 0.
-1
Let j = -117 + 112. Let v(c) = 35*c**2 + 469*c - 187. Let q(z) = -52*z**2 - 704*z + 280. Let t(w) = j*q(w) - 8*v(w). Determine h, given that t(h) = 0.
-12, 2/5
Let v(g) = g - 4. Let q be v(4). Suppose q = -3*b + 2*p + 2 + 19, 0 = 4*p + 12. Factor 4*z - 4*z**2 - 16 - 14*z + 21*z + b*z.
-4*(z - 2)**2
Let i(w) = 3*w**3 - w**2 + w + 1. Let c(k) = -22*k**3 + 13*k**2 - 10*k - 17. Let u(h) = 3*c(h) + 21*i(h). Factor u(a).
-3*(a - 5)*(a - 2)*(a + 1)
Suppose 15 = v + m + 19, 5*m = -v - 28. Factor 4/7*l**5 + 36/7*l**3 + 8/7*l + 20/7*l**4 + 4*l**v + 0.
4*l*(l + 1)**3*(l + 2)/7
Let f(i) be the second derivative of -2*i**6/5 - 34*i**5/5 + 51*i**4 - 352*i**3/3 + 120*i**2 - 116*i. Suppose f(m) = 0. What is m?
-15, 2/3, 1, 2
Let 198/5 + 2/5*w**2 + 72/5*w = 0. Calculate w.
-33, -3
Let t be (2/3)/((-4)/552). Let b = t - -96. Factor 7/4*u**3 - 1 - 5/4*u**2 - b*u.
(u - 2)*(u + 1)*(7*u + 2)/4
Let n(w) = -w**2 - 114*w - 317. Let j be n(-111). Solve j*c**2 + 8/3 + 4/3*c**3 - 16/3*c**4 - 44/3*c = 0 for c.
-2, 1/4, 1
Let n(r) be the first derivative of -r**5/35 - 2*r**4/7 + 10*r**3/21 + 4*r**2/7 - 9*r/7 + 134. Suppose n(p) = 0. What is p?
-9, -1, 1
Let d(k) = 2*k + 6. Let n be d(9). Let s = n - 21. Factor -12*x**3 + 8*x**3 - 4*x**2 + 8*x**s.
4*x**2*(x - 1)
Let h(q) be the second derivative of -q**7/210 - 8*q**6/75 + 37*q**5/50 - 29*q**4/15 + 79*q**3/30 - 2*q**2 - 209*q. Suppose h(x) = 0. Calculate x.
-20, 1
Suppose 2*t - 60 + 12 = 0. Let p = t + 16. Factor -19*k - 6*k**2 + 3*k**4 + p*k + 3 - 21*k.
3*(k - 1)**2*(k + 1)**2
Factor 22/5*p**2 + 2*p - 12/5.
2*(p + 1)*(11*p - 6)/5
Let i = -1211/114 + 634/57. Find q, given that 1/4*q**5 + 0 - 1/4*q + i*q**4 - 1/2*q**2 + 0*q**3 = 0.
-1, 0, 1
Let k(l) be the second derivative of 0 + 2/9*l**3 + 5/9*l**2 + 1/54*l**4 - 10*l. Factor k(f).
2*(f + 1)*(f + 5)/9
Let l be ((-6)/(-8) + -1)/((-68)/68). Let u(n) be the first derivative of -l*n**4 + 6 - 4/3*n**3 - 2*n - 5/2*n**2. Suppose u(p) = 0. What is p?
-2, -1
Suppose 0 = 34*w - 38*w + 2120. Factor -w*r - r**3 + 531*r - r**2 + 1 + 0.
-(r - 1)*(r + 1)**2
Let h(s) = -s**3 - 3*s - 1. Suppose -4*n = 3*i + 15, -i - 3*i + 2*n - 20 = 0. Let u(r) = 2*r**3 + r**2 + 6*r + 2. Let v(q) = i*h(q) - 3*u(q). Factor v(j).
-(j + 1)**3
Let g be (-5 + -7)*(-1)/2. Factor -7*v + 4*v - g*v**2 + 6*v + 3*v**2.
-3*v*(v - 1)
Let m(y) be the third derivative of -y**6/180 + 7*y**5/45 - 49*y**4/36 + y**2 + 11. Solve m(z) = 0.
0, 7
Let d(j) be the first derivative of j**6/3 - 2*j**5/5 - j**4/2 + 2*j**3/3 - 260. Factor d(v).
2*v**2*(v - 1)**2*(v + 1)
Suppose 5*v + 13 = 43. Let s be (-2)/v + (-6)/(-18). Suppose 0 - 2/3*z + s*z**3 + 4/3*z**4 + 2/3*z**5 - 4/3*z**2 = 0. Calculate z.
-1, 0, 1
Let x(f) = 17*f**3 - 262*f**2 + 5282*f + 5554. Let k(h) = 5*h**3 - 87*h**2 + 1761*h + 1851. Let l(s) = -7*k(s) + 2*x(s). Factor l(p).
-(p - 43)**2*(p + 1)
Let x(f) be the third derivative of -f**5/210 - 85*f**4/42 - 7225*f**3/21 - 25*f**2 - 2*f. Let x(g) = 0. What is g?
-85
Find w, given that -170*w - 1385*w**2 + 25*w**2 - 652*w**3 + 69*w - 28*w**4 - 235*w = 0.
-21, -2, -2/7, 0
Let h = 5/21 + 2/21. Let o(g) be the first derivative of 6 + h*g**3 - g + 0*g**2. Determine u, given that o(u) = 0.
-1, 1
Let u(k) be the third derivative of -7/60*k**5 + 0 + 7/6*k**3 + 1/120*k**6 - 1/24*k**4 + 42*k**2 + 0*k. Solve u(f) = 0 for f.
-1, 1, 7
Suppose -20*d + 558 = -18*d. Let g = -829/3 + d. Factor -8/3 - 2/3*p**2 + g*p.
-2*(p - 2)**2/3
Let n = -1862 - -5588/3. Factor -10/3 - n*b + 2/3*b**3 + 10/3*b**2.
2*(b - 1)*(b + 1)*(b + 5)/3
Let j be ((-1)/4*2 + 0)*(-38)/152. Find w, given that -j*w**5 + 1/8*w**4 + 0*w**3 + 0 + 0*w + 0*w**2 = 0.
0, 1
Let s = 73 + -207. Let t = -130 - s. Find m, given that 8*m - t*m**2 - 8*m**3 - 1/2*m**5 + 8 - 7/2*m**4 = 0.
-2, 1
Factor -3/4*z**3 - 33/8*z**2 + 15/2*z - 21/8.
-3*(z - 1)*(z + 7)*(2*z - 1)/8
Let u(v) be the first derivative of -2/27*v**3 + 0*v - 1 + 2/45*v**5 - 1/18*v**4 + 1/9*v**2. Factor u(c).
2*c*(c - 1)**2*(c + 1)/9
Let b(s) = 4*s**2 + 4*s. Let i(d) = d**2 + d. Let g = 2 + -3. Let z(x) = g*b(x) + 3*i(x). Solve z(a) = 0 for a.
-1, 0
Let z(i) be the first derivative of 12/5*i**5 - 3/4*i**6 + 0*i - 3*i**2 + 9/8*i**4 - 6*i**3 + 54. Suppose z(x) = 0. Calculate x.
-1, -1/3, 0, 2
Suppose 286 + 106 = 166*p - 106. What is u in -9/2*u + 0 - 11*u**p + 12*u**2 + 4*u**4 - 1/2*u**5 = 0?
0, 1, 3
Let c be (-230)/(-70) + (-2)/7. Suppose -6*j = -c*j - 9. Factor 12*g**4 + 3*g**2 - 2*g**2 + j*g**2 - 6*g**3 - 6*g**3 - 4*g**5.
-4*g**2*(g - 1)**3
Let y = -8 - -11. Suppose g + 1 - y = 0. Factor 6*s**2 + 2*s - 3*s - 2*s**3 - s**3 - g*s.
-3*s*(s - 1)**2
Let g(c) be the second derivative of -c**10/90720 + c**9/15120 - c**8/10080 - c**4/3 + 5*c. Let h(l) be the third derivative of g(l). What is k in h(k) = 0?
0, 1, 2
Suppose -11*d = -67 + 23. Let t(r) be the first derivative of 9 - 2/3*r**3 - 1/18*r**d + 2/15*r**5 - 4/9*r + r**2. What is m in t(m) = 0?
-2, 1/3, 1
Let j(p) be the second derivative of -p**7/70 + p**6/20 + p**5/5 - p**4/4 - 3*p**3/2 + 5*p**2 + 5*p. Let c(m) be the first derivative of j(m). Factor c(u).
-3*(u - 3)*(u - 1)*(u + 1)**2
Solve -3/2*f**5 - 39/2*f - 9/2 - 21/2*f**4 - 27*f**3 - 33*f**2 = 0.
-3, -1
Suppose 4*d + 8 = 3*j, 0 = 4*j - 2*j + d - 20. Suppose j*u = 10*u - 14. Factor -u*p**2 + 10*p**2 - 5*p**2 + 4*p.
-2*p*(p - 2)
Let d be (4 - 0) + 11*(-11)/33. Factor 2/3*t + d + 1/3*t**2.
(t + 1)**2/3
Let k(w) = -w**3 + 3 + 10*w**2 + 9*w - w**2 + w. Let o be k(10). Factor f**3 + 0*f**2 + f**2 + 0*f**2 + o*f + 2*f**2 + 1.
(f + 1)**3
Let v(w) = 9*w**3 + w**2 + 5*w - 7. Let k be v(2). Factor -310*f**3 - 574*f**2 + 135*f - 34*f**4 + k*f**2 + 835*f**3 - 91*f**4.
-5*f*(f - 3)*(5*f - 3)**2
Suppose 0 = -p - 18 - 0. Let c be 13/5 - p/(-30). Determine l so that -12 + 4*l**2 - 11*l**2 - 12*l + l**c + 3*l**2 = 0.
-2
Suppose -j = q - 4, 0*q - 3*q = -2*j - 2. Find c, given that -42*c**q + 20 + 80*c - 275*c**3 - 56*c**2 - 186*c**2 + 69*c**2 = 0.
-1, -2/11, 2/5
Let s(l) = 2*l**3 + l**2 - 3*l - 1. Let r(g) = -268*g**3 + 1156*g**2 - 1471*g + 346. Let f(k) = -5*r(k) - 40*s(k). What is m in f(m) = 0?
2/7, 13/6
Suppose 0 = 9*o + 12 - 102. Factor 5*n**2 - 10 - 31*n + 46*n - o + 0.
5*(n - 1)*(n + 4)
Let w(o) be the third derivative of -o**7/630 - o**6/120 + o**5/60 + 11*o**4/72 + o**3/3 - 26*o**2 - 5. What is f in w(f) = 0?
-3, -1, 2
Let t(i) = 8*i**4 + i**3 - 7*i**2 - 2*i. Let l(g) = 4*g**2 + 2*g + 2*g**2 - 9*g**4 + g**2. Suppose 0 = -4*r - 15 - 1. Let p(a) = r*l(a) - 5*t(a). Factor p(m).
-m*(m - 1)*(m + 2)*(4*m + 1)
Factor 2/23*p**5 + 0*p - 12/23*p**4 + 10/23*p**3 + 0*p**2 + 0.
2*p**3*(p - 5)*(p - 1)/23
Let 5/2*r - 5*r**3 + 10*r**2 + 5/2*r**5 - 5*r**4 - 5 = 0. What is r?
-1, 1, 2
Suppose 0 = -9*p - 10*p. Let a(k) be the third derivative of 1/48*k**4 + 0*k + p*k**3 - 6*k**2 + 0 - 1/240*k**5. Facto