t r(q) = 0.
-2/13, 0, 1/5
Suppose -2*s - 2*z + 8 = 0, 2*z - 5 = -3. Find g such that g**2 + 3*g**2 - 2*g - 5*g**2 + s*g**3 + g**4 + 0*g**2 - g**5 = 0.
-1, 0, 1, 2
Find f such that 15 + 102/7*f - 3/7*f**2 = 0.
-1, 35
Suppose -4*p - 2*h = -332, -6*p = -p - 3*h - 426. Let f = p - 82. Suppose 0 - 1/5*o**f - 1/5*o = 0. What is o?
-1, 0
Let o(d) be the second derivative of 7*d**6/90 - d**5 + 4*d**4/3 + d**3/6 + 15*d. Let f(w) be the second derivative of o(w). Factor f(y).
4*(y - 4)*(7*y - 2)
Let t(x) be the first derivative of 5/3*x**2 + 2/3*x**5 + 5/3*x**4 + 2 + 2/3*x + 20/9*x**3 + 1/9*x**6. Factor t(y).
2*(y + 1)**5/3
Let p(a) = -11*a - 2. Let w(z) be the first derivative of z**3/3 - 6*z**2 - 3*z + 8. Let h(r) = -5*p(r) + 4*w(r). Let h(b) = 0. What is b?
-2, 1/4
Let m be (-24)/(-136) + (-1030)/(-1870). Find v such that 6/11 + 2/11*v**2 + m*v = 0.
-3, -1
Let n(r) be the second derivative of -r**7/231 + r**6/55 - r**5/55 - r**4/33 + r**3/11 - r**2/11 + 104*r. Find w such that n(w) = 0.
-1, 1
Let n(h) be the third derivative of 0 + 0*h**4 + h**2 + 0*h**3 - 1/60*h**5 - 1/60*h**6 + 0*h + 1/70*h**7. Factor n(z).
z**2*(z - 1)*(3*z + 1)
Let f be (8/(-5))/((-745)/150 + 5). Let z be 4*(-9)/f*(-168)/(-99). Find q such that 0 - 10/11*q**3 + z*q**2 - 4/11*q = 0.
0, 2/5, 1
Let w(l) = 7*l**3 + 395*l**2 - 769*l + 385. Let h(o) = -9*o**3 - 395*o**2 + 768*o - 385. Let g(q) = 6*h(q) + 7*w(q). What is b in g(b) = 0?
1, 77
Let w = 5735/2 + -2812. Let a = -55 + w. Suppose 1/4*b**4 - 1/2*b + a*b**3 - 1/4 + 0*b**2 = 0. What is b?
-1, 1
Let y(f) be the first derivative of f**6/6 - f**5/5 - f**4/4 + f**3/3 + 8. Let a(s) = 24*s**4 - 24*s**2. Let h(m) = a(m) - 3*y(m). Solve h(v) = 0.
-1, 0, 1, 9
Let h be (9/(-39))/(12/(-20)). Let s = h - -37/39. What is r in s*r - 2*r**2 + 2/3*r**4 + 0*r**3 + 0 = 0?
-2, 0, 1
Let n(b) be the third derivative of -b**6/120 - 2*b**5/15 + b**4/24 + 4*b**3/3 - 275*b**2. Let n(y) = 0. What is y?
-8, -1, 1
Factor -164*b + 128*b**2 - 162*b**3 - 18*b**3 + 6 - 14 + 224*b**2.
-4*(b - 1)**2*(45*b + 2)
Let j(g) be the first derivative of g**3/6 + 47*g**2/4 + 158. Factor j(x).
x*(x + 47)/2
Let s(o) = -10*o - 2. Let z = -10 + 9. Let w be s(z). Factor 2*u + w*u**3 - 2*u**2 - 2*u - 6*u**3.
2*u**2*(u - 1)
Find y, given that -1/2*y**2 - 1/2 - y = 0.
-1
Let r(m) = -m**3 + 2*m**2 + 10*m - 5. Let d be r(4). Let q = -1 + 1. Solve -2*y**2 + d*y**3 - y**2 + q*y**2 + 3 - 3*y = 0.
-1, 1
Let f(g) = -8*g**2 - 20*g + 3. Let j(i) = 11*i**2 + 40*i - 1 - 4 + 4*i**2. Let p(b) = -5*f(b) - 3*j(b). Suppose p(r) = 0. Calculate r.
-4, 0
Let r = 17394 - 17392. Factor 12/7 - 2/7*w**r + 10/7*w.
-2*(w - 6)*(w + 1)/7
Let q be (6 + -2)*(-3)/((-48)/28). Let m be (-156)/182*q/(-2)*1. Factor 9/4*r**m + 0*r - 3/4*r**2 - 9/4*r**4 + 0 + 3/4*r**5.
3*r**2*(r - 1)**3/4
Let r = -121/23 + -923/253. Let j = r - -785/77. Find l, given that -30/7*l - j - 25/7*l**2 = 0.
-3/5
Let v(o) be the first derivative of -2 - 4/3*o**3 - 2*o**2 + o**4 + 0*o + 4/5*o**5. Find c such that v(c) = 0.
-1, 0, 1
Let u be (2 - (-32)/14)*(-7 + -49). Let h be (-3)/(-24) - 642/u. Factor -4/5*g**4 - 2/5*g**5 + 4/5*g**3 + 4/5 + h*g + 16/5*g**2.
-2*(g - 2)*(g + 1)**4/5
Let m(z) = -2*z**4 - 13*z**3 + 24*z**2 + 213*z - 213. Let r(a) = 2*a**4 + 12*a**3 - 26*a**2 - 212*a + 212. Let g(b) = -4*m(b) - 3*r(b). Let g(f) = 0. What is f?
-6, 1, 3
Let p be -5 - ((-78528)/(-28))/8. Let v = -355 - p. Let 6/7*z**2 + 16/7*z**3 - v*z + 6/7*z**4 + 0 = 0. What is z?
-2, -1, 0, 1/3
Find i, given that -9*i - 4*i**3 + 29*i**4 - 3*i + 20*i**3 + i**5 - 5*i**5 - 8*i**2 - 21*i**4 = 0.
-1, 0, 1, 3
Let v(s) be the second derivative of 1/4*s**4 - 6*s**2 - 21*s + 0 + 3/2*s**3. Factor v(g).
3*(g - 1)*(g + 4)
Suppose -89*d - 23*d = 25*d - 411. Factor -4/5*z**2 - z**4 + 0*z + 0 - 12/5*z**d.
-z**2*(z + 2)*(5*z + 2)/5
Let z be 366/84 - 19/(-133). Factor -1/2*a**2 - 3*a - z.
-(a + 3)**2/2
Let a(d) be the second derivative of -d**5/160 - 17*d**4/48 - 289*d**3/48 + 14*d - 2. Factor a(c).
-c*(c + 17)**2/8
Let m(h) = -h**2 + 55*h - 74. Let g(d) = -28*d + 36. Let l(p) = -10*g(p) - 4*m(p). Determine f, given that l(f) = 0.
-16, 1
Factor 2*s**4 + 60*s**2 - 5346*s**3 - 4*s**4 + 5360*s**3.
-2*s**2*(s - 10)*(s + 3)
Let y(v) be the first derivative of v**5/10 + 13*v**4/8 + 20*v**3/3 + 9*v**2 - 57. Let y(p) = 0. Calculate p.
-9, -2, 0
Let y = 288 + -283. Suppose -1/2*p**y - 14*p + 4 - 25/2*p**3 + 19*p**2 + 4*p**4 = 0. What is p?
1, 2
Let k = -2651/12 + 221. Let n(w) be the second derivative of 0*w**2 + 0 + 6*w + 2/21*w**7 - 1/6*w**3 + 9/20*w**5 - 11/30*w**6 - k*w**4. Factor n(g).
g*(g - 1)**3*(4*g + 1)
Suppose 3*o = l + l + 7, -4*o = l - 13. Suppose 0 = o*d - y - 10, -14 = 4*d - 7*d + 2*y. Determine m so that -4/7 + d*m + 6/7*m**3 - 16/7*m**2 = 0.
2/3, 1
Factor 2/23*o**3 - 410758/23 - 354/23*o**2 + 20886/23*o.
2*(o - 59)**3/23
Let p(i) = -2*i**4 - 3*i**3 + 9*i**2 - 26*i + 12. Let f(t) = t**3 + t**2. Let r(c) = 10*f(c) + 2*p(c). Factor r(o).
-4*(o - 2)*(o - 1)**2*(o + 3)
Let g(k) be the third derivative of 0*k - 2/35*k**7 - 41*k**2 + 1/10*k**6 - 1/15*k**5 + 0*k**4 + 0 + 1/84*k**8 + 0*k**3. Find s such that g(s) = 0.
0, 1
Let h(x) be the first derivative of 0*x - 7/40*x**5 - 3/8*x**4 + 1/8*x**2 - 1/8*x**3 + 7. What is p in h(p) = 0?
-1, 0, 2/7
Let t(s) be the first derivative of 4/3*s**3 + 0*s - 10*s**2 - 26. Factor t(q).
4*q*(q - 5)
Let t be 28/5 - (-22)/55. Let m be 8/3 + t/(-9). Suppose -4/7*d + 4/7*d**3 + 0 + 2/7*d**m - 2/7*d**4 = 0. What is d?
-1, 0, 1, 2
What is y in -16*y**3 + 43*y**3 - 12*y**2 - 30*y**3 - 6*y**4 - 18*y**3 + 3*y**5 = 0?
-1, 0, 4
Let g(t) = -5*t**2 + 85*t - 65. Let h(o) = 3*o. Let z(x) = g(x) - 5*h(x). Factor z(v).
-5*(v - 13)*(v - 1)
Let 6*w**3 + w**5 + 6*w**4 + 3*w**5 + 8*w**5 - 6*w**5 + 2*w**2 - 4*w**5 = 0. What is w?
-1, 0
Let t be (-142)/(-56) + 118/(-472). Determine j, given that -t*j - 4/7 + 20/7*j**2 = 0.
-1/5, 1
Let r(n) be the first derivative of -6*n + 0*n**2 + 2 + 1/20*n**4 - 3/10*n**3. Let f(x) be the first derivative of r(x). Let f(t) = 0. Calculate t.
0, 3
Let n(t) be the first derivative of t**7/1470 - t**6/168 + t**5/105 - 9*t**2 - 26. Let m(u) be the second derivative of n(u). Suppose m(p) = 0. What is p?
0, 1, 4
Let x(m) = m**2 + 2*m + 1. Let n be x(-3). Suppose 12 = 4*l, 2*h + n*l - 3 = 3*l. What is f in 1/3*f**4 - 1/3*f**5 + 2/3*f + h + f**3 - 5/3*f**2 = 0?
-2, 0, 1
Let u be 94/21 - ((-4)/(-6) - 0). Let j = -22/7 + u. Solve -4/3*s + j + 2/3*s**2 = 0.
1
Let z(p) = -7*p**4 + 63*p**3 + 146*p**2 + 180*p + 72. Let f(g) = 4*g**4 - 42*g**3 - 98*g**2 - 120*g - 48. Let a(m) = -8*f(m) - 5*z(m). Solve a(q) = 0 for q.
-2, -1
Let k(t) = 4*t + 50. Let c be k(-12). Suppose -5*x**c + 10*x + 16 + 15*x - 46 = 0. What is x?
2, 3
Let b(k) = 2*k**2 - 15*k - 11. Let j(n) = -n + 1. Let z be ((12/21)/1)/((-6)/21). Let o(w) = z*b(w) + 6*j(w). Suppose o(g) = 0. What is g?
-1, 7
Let v(w) = 20*w**3 - 25*w**2. Let k be 6/(-12)*1*2. Let h(g) = g**4 - g**3 - g**2. Let d(u) = k*v(u) + 5*h(u). Factor d(y).
5*y**2*(y - 4)*(y - 1)
Let g(s) be the first derivative of -s**8/8400 + s**7/1400 + s**6/450 + 11*s**3/3 - 9. Let v(k) be the third derivative of g(k). Suppose v(j) = 0. Calculate j.
-1, 0, 4
Let n be (-33)/(-55)*2/3. Factor -2/5*k**5 + 6/5*k + 6/5*k**4 - 4/5*k**3 - 4/5*k**2 - n.
-2*(k - 1)**4*(k + 1)/5
Let v(d) be the first derivative of 9/2*d**4 + 0*d - 14/3*d**3 + 2*d**2 + 35 + 1/3*d**6 - 2*d**5. Factor v(g).
2*g*(g - 2)*(g - 1)**3
Let w = -40 - -42. Suppose -5*r - 20 = 0, 2*f - 26 = -3*f + 4*r. Factor -2*x + w*x**2 + 13 - 13 - 4*x**f.
-2*x*(x + 1)
Let b(l) be the second derivative of -12*l + 5*l**2 + 9/4*l**5 + 25/12*l**4 - 15/2*l**3 - 7/6*l**6 + 0. What is q in b(q) = 0?
-1, 2/7, 1
Let f(a) = a**2 + a + 1. Let y(z) = z**4 + z**2 + 2*z + 4. Let d = -17 + 10. Let b = -6 - d. Let s(t) = b*y(t) - 4*f(t). What is u in s(u) = 0?
-1, 0, 2
Let w = -22 - -118. Factor -10*z - 1 - 8*z + w*z**3 + 2 + 2.
3*(2*z + 1)*(4*z - 1)**2
Let l = -1053 - -1055. Let s(a) = 15*a**2 + 8*a. Let k(u) = 7*u - 6. Let h(p) = -13*p + 11. Let w(o) = 6*h(o) + 11*k(o). Let m(t) = l*w(t) + s(t). Factor m(i).
3*i*(5*i + 2)
Suppose 0 = k + 130 + 167. Let j = 2379/8 + k. Factor -81/8*i - j*i**3 - 81/8 - 27/8*i**2.
-3*(i + 3)**3/8
Let a(s) = 4*s**2 + 2*s. Let p = -28 + 29. Let x(b) = b**3 - b*