- 2)*(g + 1)**2
Let -3/2*y**4 + 19/2*y**2 - 104/3*y + 29/6*y**3 + 22 - 1/6*y**5 = 0. What is y?
-11, -3, 1, 2
Let x(s) be the third derivative of -s**7/280 + 3*s**6/20 - 21*s**5/20 + 5*s**4/2 + 304*s**2. What is m in x(m) = 0?
0, 2, 20
Let f(y) be the first derivative of y**3/4 - 63*y**2/4 - 129*y/4 - 78. Find g such that f(g) = 0.
-1, 43
Let l(p) = -p**4 - 20*p**3 - 45*p**2 - 36*p + 2. Let x(u) = -4*u**4 - 81*u**3 - 179*u**2 - 147*u + 9. Let v(i) = 18*l(i) - 4*x(i). Factor v(g).
-2*g*(g + 1)*(g + 2)*(g + 15)
Suppose -4*u = 2*n - 144, 4*u - 60 - 70 = 5*n. Factor 7*q**2 + 5*q**3 - 2*q**2 - 5*q**2 + u*q + 25*q**2 + 15.
5*(q + 1)**2*(q + 3)
Let m(f) = -f + 9. Let d be (12/(-20))/(1/(-10)). Let w be m(d). Factor 2*c + 5*c + 8*c**3 - 2 - 6*c**w - 7*c**2.
(c - 2)*(c - 1)*(2*c - 1)
Let u(z) be the first derivative of -75*z**4/4 + 140*z**3 - 294*z**2 - 41. Solve u(i) = 0.
0, 14/5
What is a in -72*a + 4*a**2 - 6*a**2 + 6*a**2 = 0?
0, 18
Let j(s) = -s**2 + s + 1. Let r(y) = -10*y**2 + 20*y - 5. Let d(m) = -5*j(m) + r(m). Factor d(k).
-5*(k - 2)*(k - 1)
Let b(k) be the second derivative of -4*k**2 + 17/3*k**3 - 8/15*k**6 + 0 + 1/21*k**7 + 11/5*k**5 - 14/3*k**4 - 19*k. Let b(o) = 0. Calculate o.
1, 4
Let l(j) be the second derivative of j**7/21 + 2*j**6/15 - 2*j**5/5 - 4*j**4/3 - 124*j. Factor l(i).
2*i**2*(i - 2)*(i + 2)**2
Suppose 4*c + 73/8*c**2 - 49/8*c**5 + 1/2 - 77/8*c**4 + 17/8*c**3 = 0. Calculate c.
-1, -2/7, 1
Let w(y) be the third derivative of 1/70*y**7 + 0*y - 3*y**2 - 1/20*y**6 - 1/20*y**5 + 1/4*y**4 + 0*y**3 + 0. Solve w(r) = 0.
-1, 0, 1, 2
Let t(v) be the second derivative of -v**4/3 + 14*v**3 - 76*v**2 + 172*v. Let t(k) = 0. Calculate k.
2, 19
Suppose 5*d + h - 18 = -h, 14 = -3*d + 5*h. Suppose 18*q - 19*q = -d. Factor -3/5*c**q + 6/5*c - 3/5.
-3*(c - 1)**2/5
Find d such that -116*d**2 + 79*d - 6809*d**3 - 4*d**4 + 6873*d**3 - 23*d = 0.
0, 1, 14
Let f be 62/8 - (-47)/188. Factor -2*v**3 - f*v + 8/3 + 22/3*v**2.
-2*(v - 2)*(v - 1)*(3*v - 2)/3
What is g in 85/2 + 87/2*g**2 - 171/2*g - 1/2*g**3 = 0?
1, 85
Suppose -2/3*u**3 + 2/3*u - 10/9*u**2 + 2/9*u**4 + 8/9 = 0. What is u?
-1, 1, 4
Let w(g) be the second derivative of -g**4/36 - 11*g**3/18 + 13*g**2/3 + 215*g. Factor w(r).
-(r - 2)*(r + 13)/3
Let u(f) be the third derivative of f**5/15 + f**4/6 - 4*f**2 - 6*f. Factor u(y).
4*y*(y + 1)
Suppose 36 + 29 = 13*t. Let j be (12/3 - 1) + 0. Factor 101*u**2 + j*u + 3 + 0*u**5 + 3*u**t + 3*u**4 - 6*u**3 - 107*u**2.
3*(u - 1)**2*(u + 1)**3
Let v be (3 - 1)/(6/51). Let n = v + -12. Determine c, given that -10*c**2 + 6*c**3 + 2 - n - 5*c**2 + 12*c = 0.
1/2, 1
Let r be (4 - 0)*114/3. Suppose 59*p - 50*p**5 + 74*p + 59*p + 32 - 90*p**4 + 352*p**2 + r*p**3 = 0. Calculate p.
-2, -1, -2/5, 2
Let l(i) = 70*i**4 + 1635*i**3 + 1267*i**2 + 262*i. Let h(d) = -d**4 - d**2 + 2*d. Let z(v) = -5*h(v) + l(v). Suppose z(x) = 0. Calculate x.
-21, -2/5, 0
Factor -h + 6*h**3 + 2*h**2 - 2*h**4 - 6*h + h.
-2*h*(h - 3)*(h - 1)*(h + 1)
Let x be 56/40 + (-39)/35. Factor x - 3/7*s**2 + 1/7*s - 1/7*s**3 + 1/7*s**4.
(s - 2)*(s - 1)*(s + 1)**2/7
Suppose p = -2*i + 4, 3*i + 2*i = -2*p + 8. Suppose 0 = 2*v - 5*d - 29, -3*v - 2*d - 3*d - 19 = 0. Find g, given that p - g**2 - v - 2*g - 2 - 1 = 0.
-1
Let f(b) be the third derivative of -14/15*b**5 + 0*b + 1/12*b**4 + 4/3*b**3 + 0 + 2/35*b**7 - 21*b**2 + 17/60*b**6. Solve f(u) = 0 for u.
-4, -1/3, 1/2, 1
Let c(g) be the first derivative of 9 - 2/3*g**3 - 49/1080*g**6 + 0*g - 7/60*g**5 + 0*g**2 - 1/8*g**4. Let h(k) be the third derivative of c(k). Factor h(o).
-(7*o + 3)**2/3
Let n(o) be the first derivative of 19 + 1/8*o + 1/20*o**5 + 3/8*o**3 - 7/32*o**4 - 5/16*o**2. Suppose n(p) = 0. Calculate p.
1/2, 1
Let k(t) = -t**4 + t**3 + 2*t - 1. Let j(g) = -g**4 - 4*g**3 + 5*g**2 - 8*g + 4. Let p(i) = -j(i) - 4*k(i). Suppose p(x) = 0. Calculate x.
-1, 0, 1
Suppose -3*t = 8*m - 3*m - 19, 0 = -3*t + 3*m + 3. Let c be t*((-10)/28 + (-8)/(-16)). Suppose -c*p - 1/7*p**3 + 3/7*p**2 + 1/7 = 0. What is p?
1
Factor -71 + 1/2*j**2 + 141/2*j.
(j - 1)*(j + 142)/2
Let i(g) be the third derivative of g**6/30 - 4*g**5/9 + 3*g**4/2 - 20*g**3/9 + 136*g**2. Factor i(n).
4*(n - 5)*(n - 1)*(3*n - 2)/3
Suppose -22/3*k**2 - 2/3*k**3 - 6 - 38/3*k = 0. What is k?
-9, -1
Let n(w) = w**2 + 18*w + 67. Let b be n(-13). Suppose -10/9*p**3 - 2/9*p**4 + 0 - 16/9*p**b - 8/9*p = 0. Calculate p.
-2, -1, 0
Factor 1800/17 + 120/17*h + 2/17*h**2.
2*(h + 30)**2/17
Let g(w) be the second derivative of -3/14*w**3 - 1/28*w**5 + 4*w + 0 - 1/7*w**2 - 1/7*w**4. Suppose g(y) = 0. Calculate y.
-1, -2/5
Let y(l) be the second derivative of 2*l**5 - 415*l**4/12 + 575*l**3/3 - 375*l**2/2 + 2*l + 24. Factor y(a).
5*(a - 5)**2*(8*a - 3)
Suppose -64/7*s**3 + 0*s + 0 + 4/7*s**5 + 256/7*s**2 - 16/7*s**4 = 0. Calculate s.
-4, 0, 4
Let l(t) = t**2 + t + 1. Let g(m) = 7*m**2 + 13*m + 12. Let c = -56 - -57. Let d(h) = c*g(h) - 6*l(h). Factor d(i).
(i + 1)*(i + 6)
Let k(f) = -7*f + 224. Let w be k(32). Factor 2/7*q**3 - 4/7*q**2 - 6/7*q + w.
2*q*(q - 3)*(q + 1)/7
Let t(l) be the first derivative of -25 - 14/85*l**5 - 8/17*l**2 - 1/17*l**4 + 14/17*l**3 - 8/17*l. Determine k, given that t(k) = 0.
-2, -2/7, 1
Suppose -5*v = -r + 30 + 3, -5*r - 4*v = -20. Factor 0*z**5 + 0*z**5 - 9*z**4 - z**3 + 4*z + r + 13*z**4 - 10*z**2 - z**5.
-(z - 2)**3*(z + 1)**2
Let y(d) = d**2 - 9*d + 1. Let i be y(9). Factor -16*s**4 - i + 2 - 4*s**2 - 1 + 20*s**3.
-4*s**2*(s - 1)*(4*s - 1)
Suppose -3*r + 3*n = -3, 4*n - n = 2*r. Suppose 5*j + 9 = -h + 1, 0 = -r*h - 4*j - 2. Determine s so that -2/7*s**h + 0 + 2/7*s = 0.
0, 1
Let o(t) be the second derivative of 5*t**4/48 + 65*t**3/24 - 30*t**2 + 2*t - 85. What is c in o(c) = 0?
-16, 3
Let r(j) be the second derivative of j**3/6 + 3*j**2 + 43*j. Let o be r(-4). Factor 1/3*l - 2/3 + 1/3*l**o.
(l - 1)*(l + 2)/3
Let w = -61 - -63. Let a(m) = -m**3 + 3*m**2 + 10*m + 2. Let c(f) = f**3 + f**2 - f + 1. Let i(y) = w*c(y) + a(y). Factor i(k).
(k + 1)*(k + 2)**2
Let h(r) = -497*r**3 - 525*r**2 - 183*r - 23. Let i(y) = -y**3 + y + 1. Let w = 10 - 7. Let a(t) = w*i(t) + h(t). Factor a(j).
-5*(4*j + 1)*(5*j + 2)**2
Let k(b) be the second derivative of -b**7/504 - b**6/144 + b**5/12 - 3*b**4/4 - 8*b. Let o(t) be the third derivative of k(t). Find c, given that o(c) = 0.
-2, 1
Suppose 35*d + 2701 = 2806. Find i such that -2/5 + 2/5*i**2 - 2/5*i + 2/5*i**d = 0.
-1, 1
Factor 111*f + 102*f**3 + 3*f**5 - 30*f**4 + 33*f**2 - 30 - 234*f**2 + 45*f**2.
3*(f - 5)*(f - 2)*(f - 1)**3
Suppose -4*r = 713 - 725. Let s(u) be the third derivative of 0 + 1/32*u**4 - 1/240*u**5 + 0*u**r - 6*u**2 + 0*u. Factor s(p).
-p*(p - 3)/4
Let f = 1 - -1. Suppose 3*w - 4 = -f*k, 3*k - 3*w - 10 = -2*k. Determine i so that -2*i**2 + i + i + k*i - 8 + 4*i = 0.
2
Let q be (-8)/((-1 - 1)/1). Suppose -3*a = q*j - 51, a + a - 37 = -3*j. Determine g, given that g**2 - 4*g - j*g**3 - 4 - 7*g**3 + 17*g**3 = 0.
-2, -1, 2
Let s = -389 - -392. Let c(g) be the first derivative of -1/2*g**2 + 4 - g - 1/12*g**s. Factor c(z).
-(z + 2)**2/4
Let g(r) be the second derivative of r**5/210 - r**4/21 + r**3/7 + 11*r**2 - 3*r. Let t(k) be the first derivative of g(k). Find m, given that t(m) = 0.
1, 3
Factor 38/7*o + 1/7*o**3 + 0 - 3*o**2.
o*(o - 19)*(o - 2)/7
Let i(g) be the second derivative of -g**7/6 + 13*g**6/15 + 17*g**5/4 + 16*g**4/3 + 2*g**3 + 20*g - 3. Solve i(b) = 0.
-1, -2/7, 0, 6
Let n = -19 - -37. Solve 24 + 20*w + 3*w**2 - n*w**2 + 11*w**2 = 0.
-1, 6
Let l = 1034 - 2041/2. Factor l*w**3 + 6*w**2 + 2/3*w + 0.
w*(9*w + 2)**2/6
Suppose -27/7*n**4 - 69/7*n**2 + 108/7 + 72/7*n - 81/7*n**3 - 3/7*n**5 = 0. What is n?
-3, -2, 1
What is m in -2/3*m**3 - 10/3*m**2 + 16/3 - 4/3*m = 0?
-4, -2, 1
Let l(f) = 2*f**2 + 25*f - 3. Let z(n) = -2*n**2 - 24*n + 2. Let p(h) = -4*l(h) - 6*z(h). Suppose p(r) = 0. What is r?
-11, 0
Let p be 22/((-704)/(-112)) - (-1)/((-2)/(-2)). Find f such that -p*f - 3/2 + 21/8*f**2 = 0.
-2/7, 2
Solve -3/7*x**2 + 15/7 + 12/7*x = 0.
-1, 5
Let m = 291 - 285. Let b be m/((-3)/12 + (-76)/(-16)). Find l, given that 0 - 2*l**3 - b*l**2 + 0*l = 0.
-2/3, 0
Let b = -29/508 + 39/127. Let k be ((-2)/(-5))/((-2)/(-20)). What is u in -2*u + b*u**2 + k = 0?
4
Suppose -w = -32 + 96. Let j = -60 - w. Find k such that -1/4*k**2 + 0