 q + 3*q**3 + q**a + 5*q = 0.
-2, -1, 0
Let v(w) be the first derivative of -w**6/1980 + w**5/220 + w**4/33 - 13*w**3/3 - 21. Let r(q) be the third derivative of v(q). Factor r(y).
-2*(y - 4)*(y + 1)/11
Let f(g) = -g**3 + g**2 - 2*g + 2. Suppose 3*n - 10 = 2*h, 3*h = 2*n - 0*h - 5. Let w(j) = j**3 - 1. Let y(v) = n*w(v) + 2*f(v). Let y(s) = 0. What is s?
-2, 0, 1
Let l(h) be the first derivative of h**5/5 + 19*h**4/2 + 397*h**3/3 + 342*h**2 + 324*h + 532. Let l(q) = 0. Calculate q.
-18, -1
Let z be ((-120)/(-175) - 20/50)*2. Let t(b) = b**2 + 6*b + 7. Let g be t(-5). Factor z*n**4 + 0 + 0*n + 0*n**g - 1/7*n**5 - 4/7*n**3.
-n**3*(n - 2)**2/7
Let c = 208 - 292. Let p be (56/c)/((-2)/27*4). Factor -3/2*j + 1/4*j**2 + p.
(j - 3)**2/4
Let q(i) = i**3 - 10*i**2 - 25*i + 13. Let w be q(12). Determine m so that -3*m**2 - w - 1 - 4*m + 4*m**3 + 11*m**2 - 6 = 0.
-2, -1, 1
Factor -20*z + 10*z + 8*z - 3*z**2 + 2*z**2.
-z*(z + 2)
Let s be ((-35)/(-14))/(9 - -1). Find g, given that -1/4*g**3 - s - 3/4*g - 3/4*g**2 = 0.
-1
Let w be ((-6)/4)/(5/10). Let c(y) = 2*y + 8. Let m be c(w). What is t in 3*t - 4*t + 2*t + 2*t**2 - t**m = 0?
-1, 0
Suppose 2*a - i - 10 = 0, -2*a - 17 + 3 = 5*i. Let p(b) be the first derivative of 1 + 0*b**a + 1/8*b**4 - 1/4*b**2 + 0*b. Find v such that p(v) = 0.
-1, 0, 1
Let c(j) be the third derivative of j**7/140 + 9*j**6/80 + 21*j**5/40 + 19*j**4/16 + 3*j**3/2 - j**2 - 4. What is v in c(v) = 0?
-6, -1
Let n be (-132)/(-70) - (20/14)/5. Determine g, given that 2/5*g**2 + n*g + 8/5 = 0.
-2
Let u = -9 - -13. Factor 2*p**4 - 4*p**3 + 3*p**4 - 2*p**2 + 4*p - 5*p**u + 2*p**4.
2*p*(p - 2)*(p - 1)*(p + 1)
Let 5*g**5 - 54*g**3 - 8*g**5 - 646*g**2 + 710*g**2 - 37*g**4 - 2*g**5 + 32*g = 0. Calculate g.
-4, -2/5, 0, 1
Let a = -33 + 117. Let l be a/112 - 237/(-68). Factor l*h**2 - 24/17*h + 2/17.
2*(6*h - 1)**2/17
Let o(r) be the second derivative of r**6/45 - 2*r**5/15 + 4*r + 37. Suppose o(y) = 0. Calculate y.
0, 4
Let r = 85/18 - 2/9. Suppose 2*z = -5*i + 1, 5*i - 58 = -4*z - 51. Determine n, given that -z - r*n - 3/2*n**2 = 0.
-2, -1
Let f = -20683 + 682624/33. Let m = -21/11 + f. Factor -8/9*c + 2/9*c**2 + m.
2*(c - 3)*(c - 1)/9
Suppose 5*s + 35*g = 39*g - 6, 5*g = -5*s + 30. Find u such that 0*u**s + 2/3*u + 0 - 2/3*u**3 = 0.
-1, 0, 1
Let r(s) = -3*s**3 - 2*s**2 + s. Let v = -7 - -11. Let p(t) = t**3 + t**2. Let m(y) = -y + 16. Let z be m(14). Let w(a) = v*p(a) + z*r(a). Factor w(g).
-2*g*(g - 1)*(g + 1)
Solve -49/6 - 7/3*t - 1/6*t**2 = 0 for t.
-7
Let y(s) = 584*s**3 + 168*s**2 - 509*s - 239. Let w(v) = -583*v**3 - 168*v**2 + 508*v + 238. Let l(j) = 4*w(j) + 5*y(j). Factor l(u).
3*(u - 1)*(14*u + 9)**2
Let l(i) = 6*i**3 - 260*i**2 + 2888*i + 3194. Let c(z) = -2*z**3 + 87*z**2 - 963*z - 1064. Let p(x) = -20*c(x) - 6*l(x). Factor p(a).
4*(a - 23)**2*(a + 1)
Suppose 3*f + 2*b = -244, -2*f + 6*f + 312 = 4*b. Let t = f - -80. Solve -4/3*z**3 + 0*z + t + 4/3*z**2 = 0.
0, 1
Let t be (-30 - -30)/(5/((-15)/(-12))). Suppose 1/9*n**3 + 2/9*n + t + 1/3*n**2 = 0. What is n?
-2, -1, 0
Let n(a) be the second derivative of a**4/12 + 17*a**3/3 + 289*a**2/2 + 114*a. Solve n(x) = 0.
-17
Let t(s) be the first derivative of 0*s**3 - 2 - 1/90*s**5 + 0*s + 0*s**4 + 5/2*s**2. Let l(m) be the second derivative of t(m). Find v such that l(v) = 0.
0
Suppose -5*l + w - 3 = 0, 9*l + 15 = 11*l + 5*w. Let g(y) be the second derivative of -5/12*y**4 - 5*y + 0*y**3 + l + 5/2*y**2. Factor g(b).
-5*(b - 1)*(b + 1)
Factor 8*o**2 + 1/2*o**5 + 3*o**4 + 7*o**3 + 9/2*o + 1.
(o + 1)**4*(o + 2)/2
Suppose -3*c + 4*u + 73 = 0, -u - 2 = -c + 23. Let f be c/54*0/2. Solve 2/11*h**2 + 2/11*h**3 + 0 + f*h = 0 for h.
-1, 0
Let p(d) = 13*d**3 - 46*d**2 + 103*d - 96. Let s(o) = -63*o**3 + 228*o**2 - 516*o + 480. Let t(k) = -24*p(k) - 5*s(k). Factor t(l).
3*(l - 8)*(l - 2)**2
Suppose 0 = -f - 0*f - 5*a + 35, 2*f - 70 = -5*a. Solve -59*o + 59*o + 11*o**4 + 25*o**2 - o**5 - f*o**3 = 0.
0, 1, 5
Let n(l) = l**3 - 5*l**2 - 5*l + 4. Let g be n(4). Let a be 1/(-4 + 4/(g/(-36))). Factor 4/5*p + 0 - 2/5*p**a.
-2*p*(p - 2)/5
Let v(r) be the second derivative of -2*r**5 - 235*r**4/6 + 125*r**3/6 + 30*r**2 - 138*r. Let v(w) = 0. Calculate w.
-12, -1/4, 1/2
Let f(l) = 35*l**3 + 46*l**2 + 44*l + 51. Let r(o) = -12*o**3 - 15*o**2 - 15*o - 18. Let a(k) = -6*f(k) - 17*r(k). Solve a(n) = 0.
-3, -1/2, 0
Let q(g) be the first derivative of -2*g**7/315 + g**6/60 - g**5/90 - 9*g**2/2 - 20. Let c(a) be the second derivative of q(a). Factor c(m).
-2*m**2*(m - 1)*(2*m - 1)/3
Let y(a) be the second derivative of 22*a + 1/12*a**4 + 0 + 0*a**2 - 1/6*a**3. Find b such that y(b) = 0.
0, 1
Let j(g) = -g + 9. Let v be 8/2 - (-5 + 2). Let i be j(v). Solve -2*h**4 + 5*h**2 - h**3 - 3*h**2 + 0*h**4 + i*h - h**3 = 0 for h.
-1, 0, 1
Let q be (18 - -6) + -1 + -3. Let t be 12/(-15)*q/(-8). Solve -1/6*r**t + 1/6*r**3 - 1/3*r + 0 = 0 for r.
-1, 0, 2
Factor -3/2*h - 45/4 + 3/4*h**2.
3*(h - 5)*(h + 3)/4
Factor -1160*r + 300 - 16/3*r**3 - 476/3*r**2.
-4*(r + 15)**2*(4*r - 1)/3
Let c(b) = 2*b - 14. Let d(x) = x. Let f(j) = c(j) + 2*d(j). Let z be f(4). Factor 1/2*u + u**z + 0 + 1/2*u**3.
u*(u + 1)**2/2
Let i be 713/(-186) - (-2 - 2). Let x(h) be the first derivative of -i*h**3 - 1/4*h**2 + 1/8*h**4 + 1/2*h - 5. Factor x(l).
(l - 1)**2*(l + 1)/2
Let f(l) be the third derivative of -l**5/210 + l**4/12 - 10*l**3/21 - 75*l**2. Factor f(n).
-2*(n - 5)*(n - 2)/7
Let w(y) = -13*y**2 + 40*y - 63. Let g(u) = -24*u**2 + 79*u - 121. Let i(h) = -6*g(h) + 11*w(h). Factor i(o).
(o - 33)*(o - 1)
Let f = 4064/1547 - 38/119. Determine v, given that -36/13*v**2 - 6/13*v**5 + 32/13*v**4 + 0*v + 0 - f*v**3 = 0.
-2/3, 0, 3
Let m(w) = -6*w**4 - 27*w**3 - 39*w**2 - 21*w + 3. Let n(g) = g**4 + 2*g**3 - g**2 - g - 1. Let a(j) = -m(j) - 3*n(j). Factor a(h).
3*h*(h + 1)*(h + 2)*(h + 4)
Let v(f) = f**2 + 130*f + 1454. Let s(z) = 4*z**2 + 649*z + 7271. Let y(l) = 2*s(l) - 11*v(l). Suppose y(c) = 0. What is c?
-22
Let k = -148364/105 + 1413. Let g(p) be the third derivative of 0 + k*p**7 + 0*p**4 - 6*p**2 - 1/30*p**5 + 0*p**3 + 0*p + 0*p**6. What is q in g(q) = 0?
-1, 0, 1
Let i = 0 + 3. Let 15 - i*t**2 + 0 + 6*t**2 + 55*t - 23*t**2 = 0. What is t?
-1/4, 3
Let t(i) = -9*i**3 - 7*i**2 + 7*i - 7. Let w(m) = 8*m**3 + 6*m**2 - 6*m + 6. Let v(z) = 4*z + 5. Let o be v(-3). Let l(r) = o*w(r) - 6*t(r). Factor l(c).
-2*c**3
Let q(l) be the first derivative of 2*l**5/15 - 2*l**3 - 4*l**2/3 + 8*l - 48. Factor q(r).
2*(r - 3)*(r - 1)*(r + 2)**2/3
Let a(b) = 4*b - 76. Let x be a(19). Let j(q) = q - 3. Let n be j(5). Factor o**5 - 5*o**3 + x*o**5 + 6*o**3 - n*o**4.
o**3*(o - 1)**2
Suppose 14 = 4*o - 46. Let q = -12 + o. Suppose 7*z**q + 19*z**4 - 41*z**2 + 24*z**4 + 17*z + 4*z**3 - 2 - 28*z**5 = 0. Calculate z.
-1, 1/4, 2/7, 1
Let c(d) = 2*d - 24. Let w be c(18). Determine s so that w*s**2 + 2*s**2 - 8*s**2 + 2*s**3 - 8 = 0.
-2, 1
Let d(i) be the third derivative of i**5/390 + 101*i**4/78 + 10201*i**3/39 + 4*i**2 + 3*i. Suppose d(j) = 0. What is j?
-101
Let w = -41 - -43. Factor 0*m**w + 4*m**3 + 6*m**4 - 2*m**4 - 8*m**4 + 8*m**2.
-4*m**2*(m - 2)*(m + 1)
Let g = 4811/8 + -601. Suppose 0 + 0*v**2 + 1/4*v**3 + 0*v + g*v**4 + 1/8*v**5 = 0. What is v?
-2, -1, 0
Suppose 2*h - 203 = -211, -5*s = 5*h. Solve -1/2*o**3 - 1/4*o**5 + 1/2*o**2 - 3/4*o**s + 1/4 + 3/4*o = 0.
-1, 1
Let x(w) be the first derivative of -w**4 + 4*w**3/3 + 8*w**2 - 16*w - 116. Let x(t) = 0. Calculate t.
-2, 1, 2
Let c(b) be the third derivative of 2/105*b**8 - 4/75*b**6 - 1/30*b**5 + 0*b + 1/10*b**4 + 4/175*b**7 - 16*b**2 + 0 - 1/15*b**3. Determine p so that c(p) = 0.
-1, 1/4, 1/2
Find z such that -8/3*z + 56*z**4 + 0 - 26/3*z**2 + 55/3*z**3 - 15*z**5 = 0.
-1/3, 0, 2/5, 4
Factor 404 - 25 + 121 + 5*b**2 + 100*b.
5*(b + 10)**2
Let w(a) = -15*a**5 + 25*a**4 - 9*a**3 + a**2. Let v(x) be the first derivative of x**6/6 + x**5/5 + x**3/3 - 4. Let q(u) = v(u) - w(u). Factor q(c).
c**3*(4*c - 3)**2
Suppose -5*z + 5 = 0, 4*t - 545 = -3*z + 334. Let c = t + -131. Factor -8*l**4 - 3*l**2 - c*l**5 - l**4 - 9*l**3 + 85*l**5.
-3*l**2*(l + 1)**3
Let y(w) = 3*w**2 + 65*w - 21. Let a(j) = 2*j - 1. Let b(v) = -6*a(v) - 2*y(v). Let b(r) = 0. What is r?
-24, 1/3
Let r = -722 + 724. Factor -4/3*f - 1/3*f**r - 1.
-(f + 1)*(f + 3)/