2 + 2/5 + h*d.
-(d - 2)*(d + 1)/5
Let v(f) = f**2 + 4*f + 6. Let c be v(-4). Suppose -a + c = 1. What is k in 3*k**5 - 5*k**5 - 6*k**2 + 9*k**4 + 9*k + 0*k**5 - k**a - 3 - 6*k**3 = 0?
-1, 1
Factor -2*w**3 + 9 - w**4 - 29 - 46*w + 3*w**4 - 13*w**2 - 17*w**2.
2*(w - 5)*(w + 1)**2*(w + 2)
Let h(i) be the second derivative of 7*i**5/45 + 2*i**4 - 32*i**3/27 - i + 13. Factor h(z).
4*z*(z + 8)*(7*z - 2)/9
Suppose -2*t = 4*f - 18 - 54, 0 = 3*t - 5*f - 64. Factor 30 + t*y - 70*y**2 - 17*y - 15*y + 89*y.
-5*(2*y - 3)*(7*y + 2)
Let p be (-150)/125*10/(-4)*36/351. Let 0*l**4 - 6/13*l + 8/13*l**3 - 2/13*l**5 - 4/13 + p*l**2 = 0. Calculate l.
-1, 1, 2
Let f(x) = x**2 + 2*x. Let p be f(-3). Let s = -172 + 1208/7. Determine a, given that -6/7*a - 2/7 + 2/7*a**5 + 6/7*a**4 + 4/7*a**p - s*a**2 = 0.
-1, 1
Let v be 2 - (((-192)/60)/(2/(-5)) - 6). Suppose 1/3*t**3 + 2/3*t**2 - t + v = 0. What is t?
-3, 0, 1
Let v(x) be the second derivative of -1/5*x**5 + 2/3*x**4 + 0*x**3 + 13*x + 0*x**2 + 0. Factor v(t).
-4*t**2*(t - 2)
Solve 0 + 5/6*k**4 - 11/3*k**3 + 14/3*k**2 - 4/3*k = 0.
0, 2/5, 2
Let j(a) be the first derivative of 5/4*a**4 - 25 + 0*a**2 + 0*a - 5*a**3. Factor j(s).
5*s**2*(s - 3)
Let z be 0/(9/(1 + -4)). Suppose z = -8*k + 5*k - 9*k. Find x, given that 0*x**2 + k*x + 0*x**3 + 0 + 0*x**4 + 2/7*x**5 = 0.
0
Suppose l = 4*g + 114, -2*g = 4*l - 3*g - 396. Suppose 0 = 93*k - l*k. Factor -1/6*w**2 - 1/6*w**4 + k*w + 0 - 1/3*w**3.
-w**2*(w + 1)**2/6
Let k(a) be the second derivative of 2*a**3 + 7*a - 7/5*a**5 - 7/3*a**4 + 0*a**2 + 2/5*a**6 + 0. Factor k(r).
4*r*(r - 3)*(r + 1)*(3*r - 1)
Let v(z) be the second derivative of 0*z**2 + 0 + 1/6*z**4 - 1/5*z**5 - 1/15*z**6 + 2/3*z**3 + 13*z. Factor v(x).
-2*x*(x - 1)*(x + 1)*(x + 2)
Let a(r) be the second derivative of -r**9/10584 - r**8/5880 + r**7/1470 + 5*r**3/2 - 26*r. Let f(g) be the second derivative of a(g). Factor f(b).
-2*b**3*(b - 1)*(b + 2)/7
Let v(i) be the third derivative of 9*i**2 + 11/30*i**5 + 0 + 7/180*i**6 + 0*i - 4/3*i**3 + 8/9*i**4. Determine s so that v(s) = 0.
-3, -2, 2/7
Let s(w) be the second derivative of w**6/30 - w**5/10 + w**4/12 - 5*w. Factor s(p).
p**2*(p - 1)**2
Let t(w) = -w**2 + w. Let r(j) = 20*j**2 + 55*j + 65. Let i(v) = r(v) + 15*t(v). Factor i(u).
5*(u + 1)*(u + 13)
Let z(o) = o + 7. Let l be z(-3). Factor -9*s**3 + 6*s**2 - 191 + 191 - 15*s**l.
-3*s**2*(s + 1)*(5*s - 2)
Suppose 4*w = 4*p + 3 + 1, -w - 8 = -4*p. Determine b, given that -15*b**p - 4 + 13*b**3 + 4 + 2*b = 0.
-1, 0, 1
Solve -30 + 72*m**2 - 64*m + 3*m**2 - 45*m**4 - 66*m + 125*m**3 + 5*m = 0.
-1, -2/9, 1, 3
Determine i, given that 26*i**2 + 12*i**5 + 27*i**4 + 12*i**3 - 18*i - 26*i**5 - 75*i**3 + 11*i**5 + 31*i**2 = 0.
0, 1, 6
Let v(h) be the second derivative of 3*h**5/10 - 2*h**4/3 + h**3/3 + 5*h + 2. Factor v(r).
2*r*(r - 1)*(3*r - 1)
Let g(y) be the third derivative of y**5/240 + 25*y**4/6 + 5000*y**3/3 + 2*y**2 + 211. Factor g(b).
(b + 200)**2/4
Let y(i) = 6*i**4 - 40*i**3 + 44*i**2 - 5*i + 5. Let h(q) = -4*q**4 + 40*q**3 - 44*q**2 + 4*q - 4. Let a(d) = 5*h(d) + 4*y(d). Factor a(f).
4*f**2*(f - 1)*(f + 11)
Suppose 4*v + 5*b = -8, 2*b + 2*b + 25 = 3*v. Factor 15*m**3 - 1767*m + 12*m**4 + 6*m**2 + 1767*m + v*m**5.
3*m**2*(m + 1)**2*(m + 2)
Let p(o) be the second derivative of -3*o**6/50 + 57*o**5/20 - 451*o**4/10 + 1162*o**3/5 - 1764*o**2/5 + 36*o. Suppose p(t) = 0. Calculate t.
2/3, 3, 14
Let r(w) be the second derivative of -1/12*w**3 + 30*w + 1/6*w**2 - 7/120*w**5 + 0 - 1/6*w**4. Factor r(c).
-(c + 1)**2*(7*c - 2)/6
Let n be (35 - 20/5)/(-1). Let d = n - -31. Factor 4/7*s**3 + d - 2/7*s + 2/7*s**2.
2*s*(s + 1)*(2*s - 1)/7
Let x be -3 + -2 - (-7 + 0). Find d, given that 0 + 9*d**2 - 16*d**2 - 15*d**3 - 28*d**x + 20 = 0.
-2, -1, 2/3
Let j(f) be the third derivative of f**9/90720 - f**7/7560 + 11*f**5/60 - 14*f**2. Let h(i) be the third derivative of j(i). Factor h(c).
2*c*(c - 1)*(c + 1)/3
Let b(c) be the third derivative of -c**7/105 + 8*c**6/5 - 429*c**5/5 + 1080*c**4 - 6075*c**3 - 122*c**2 - 2. Factor b(m).
-2*(m - 45)**2*(m - 3)**2
Let y(p) = -4*p**4 - 44*p**3 + 4*p**2 + 4. Let l(g) = 6*g**4 + 44*g**3 - 5*g**2 - 5. Let r(v) = 4*l(v) + 5*y(v). Find o, given that r(o) = 0.
0, 11
Find t, given that -370*t + 150 - 25/2*t**2 = 0.
-30, 2/5
Let l(r) = -4*r + 235. Let p be l(58). Find u, given that -1/3*u**p + 1/6*u - 1/6 + 1/3*u**2 - 1/6*u**4 + 1/6*u**5 = 0.
-1, 1
Let h(s) be the second derivative of -3*s**5/100 - s**4 - 17*s**3/10 + 57*s**2/5 - 3*s + 15. Find j, given that h(j) = 0.
-19, -2, 1
Let s(y) be the third derivative of 7*y**6/72 - 3*y**5/8 + 5*y**4/12 + 4*y**3/3 + 15*y**2. Let o(r) be the first derivative of s(r). Factor o(k).
5*(k - 1)*(7*k - 2)
Let -67*q**2 - 8*q**3 - 3120*q + 3*q**3 + 2880 + 188*q**2 + 124*q**2 = 0. What is q?
1, 24
Let g(d) = 0 - 2*d**2 + 12 + 3*d**2 - d**3 - 8. Let n be g(2). Factor 1/2*w**3 + 1/2*w + n + w**2.
w*(w + 1)**2/2
Let d = 2558667/7133 + 6/1019. Factor -d*t**2 - 360/7*t - 12/7 + 2883/7*t**3.
3*(t - 1)*(31*t + 2)**2/7
Solve 2/5*v**2 - 132/5 - 62/5*v = 0.
-2, 33
Let z(n) be the first derivative of n**3/3 - 9*n**2/2 + 20*n - 29. Let r be z(6). Factor -2 + 63/2*v**r + 2*v.
(7*v + 2)*(9*v - 2)/2
Let p = 807 + -807. Let n(l) be the third derivative of 1/105*l**7 + 0 + 1/30*l**5 - 3*l**2 + 0*l**3 + 0*l + p*l**4 - 1/30*l**6. What is w in n(w) = 0?
0, 1
Let s be 2*4/((-8)/(-3)). Let 16*l + 8*l**2 + 4 - 12*l**4 + 0*l**4 + 10*l**3 - 26*l**s = 0. What is l?
-1, -1/3, 1
Let f(y) be the second derivative of y**7/195 + y**6/156 - y**5/195 + 6*y**2 + 22*y. Let q(p) be the first derivative of f(p). Let q(h) = 0. Calculate h.
-1, 0, 2/7
Let y(c) = 2*c. Let d be y(1). Suppose -4*k - 4 + 1 = n, -k - 21 = -d*n. Suppose -28*w - 14*w**2 - 1 - 9*w**2 + n + 7*w**2 = 0. What is w?
-2, 1/4
Let j be (-2)/9 + 237/(-27). Let r = -6 - j. Find u, given that -r*u**5 + 3*u**5 + 0*u**5 + 4*u**3 - 8*u**4 + 4*u**5 = 0.
0, 1
Let u = -3 - -3. Let y(z) be the third derivative of 0*z**4 - 1/14*z**7 - 2/5*z**6 - 1/5*z**5 + 0 + 0*z**3 + u*z - 4*z**2 + 25/112*z**8. Factor y(j).
3*j**2*(j - 1)*(5*j + 2)**2
Suppose 2*d**5 - 38*d**4 - 10*d**3 + 1152 + 1503*d + 596*d + 1064*d**2 + 74*d**3 + 13*d = 0. Calculate d.
-2, -1, 12
Let g(w) = 27*w**2 - 1. Let n be g(1). Suppose 0 = -4*l - 12 + 32. Factor n*k**4 - 5*k**l + 15*k**3 - 42*k**4 + 26*k**4.
-5*k**3*(k - 3)*(k + 1)
Let f(p) be the third derivative of -p**7/840 - p**6/480 + p**5/80 + 5*p**4/96 + p**3/12 - 101*p**2. Find n such that f(n) = 0.
-1, 2
Let r be (-6)/(-28) - ((-48)/(-28) + -2). Find w such that r*w**2 + 1/2 - 5/4*w = 0.
1/2, 2
Let d(w) be the third derivative of 5*w**8/1008 + w**7/6 + 5*w**6/3 + 25*w**5/9 - 28*w**2. Factor d(l).
5*l**2*(l + 1)*(l + 10)**2/3
Let o be (-56)/(-8) + 0 + -4. Factor 4*t**2 - 4*t - 4 + 4*t**o - t + t + 0*t.
4*(t - 1)*(t + 1)**2
Let j be (6 - 2)*(-3)/(-54). Suppose -6*y = -467 + 449. Let 2/9*k**2 - j*k**y + 2/9*k - 2/9 = 0. What is k?
-1, 1
Suppose 7 = t + 5*v, -1 = -2*t - 0*t + 3*v. Let c(z) = -3*z + 121. Let p be c(39). Factor 9/5*i**t + 2/5 + i**3 + 1/5*i**p + 7/5*i.
(i + 1)**3*(i + 2)/5
Suppose -8*o + 6*o + 4 = -d, -3 = -3*d + o. Solve -8 + 64*l + 30*l + 658*l**d + 0 + 1323*l**3 - 42*l = 0 for l.
-2/7, 2/27
Let h(v) be the second derivative of 17*v**5/70 - v**4/7 - 17*v**3/21 + 6*v**2/7 + 237*v. Let h(c) = 0. What is c?
-1, 6/17, 1
Suppose -2*g + 68 = 4*r, 4*r + 4*g = 43 + 25. Suppose 9 = 5*k - 4*q, r = k + 3*q - 0*q. Factor 1/4*h - 19/8*h**4 + 0 - 1/8*h**2 - 15/8*h**3 - 7/8*h**k.
-h*(h + 1)**3*(7*h - 2)/8
Let k = -2/35 - -179/70. Let v be 9/6 - (11 + -11). Determine w, given that 5/2*w**4 + v*w**5 + w + 0 - 5/2*w**3 - k*w**2 = 0.
-2, -1, 0, 1/3, 1
Let p(b) be the first derivative of -b**8/10920 - b**7/2730 - b**6/2340 - 5*b**3/3 + 6. Let m(v) be the third derivative of p(v). Factor m(h).
-2*h**2*(h + 1)**2/13
Let l(i) = -i**3 - 12*i**2 + i + 17. Let s be l(-12). Factor -10*p + s*p**2 - 2 + 4 + 3 + 0.
5*(p - 1)**2
Let g(c) be the second derivative of c**7/14 - 14*c**6/5 + 333*c**5/10 - 91*c**4 + 169*c**3/2 + 3*c - 30. Find p such that g(p) = 0.
0, 1, 13
Let y = -2955 - -2955. Factor 9/2*g**2 + y + 0*g + 3*g**3 - 3/2*g**4.
-3*g**2*(g - 3)*(g + 1)/2
Determine h so that -18/7 - 60/7*h**2 - 3/7*h**5 + 18/7*h**3 + 6/7*h**4 + 57/7*