lve 2/5*d - 2/5*d**2 + 0 = 0.
0, 1
Let t(j) be the third derivative of -2/175*j**7 - 3/50*j**6 - 2/5*j**3 - 1/100*j**5 + 0 + 3/10*j**4 + 0*j - 9*j**2. Let t(k) = 0. What is k?
-2, 1/2
Let s be (0 + 1)*(22 - 20). Suppose -s*t = -12 - 12. Factor -t*q**2 - 3*q**4 - 18*q**3 + 0*q**4 + 6*q**3.
-3*q**2*(q + 2)**2
Suppose q + 161 - 160 = 0, 0 = -4*b + 5*q + 13. Factor -49/5 - 84/5*a + 12/5*a**3 - 22/5*a**b - 1/5*a**4.
-(a - 7)**2*(a + 1)**2/5
Suppose 6*j - 48*j**2 - 5 + 9*j**4 - 3*j**3 + 5 + 39*j**2 - 3*j**5 = 0. Calculate j.
-1, 0, 1, 2
Let p be (2 - 1)/(1/3). Let s be 1*p/9 + (-56)/(-48). Solve 0 + 0*c**3 - 3/4*c**5 - s*c**4 + 3/4*c + 3/2*c**2 = 0 for c.
-1, 0, 1
Solve 759*v + 234 - 74 - 915*v - 4*v**2 = 0 for v.
-40, 1
Let w = -2/37 + 41/74. Let d(k) be the first derivative of 0*k**2 + 0*k + 1 - w*k**6 - k**3 - 9/4*k**4 - 9/5*k**5. Factor d(f).
-3*f**2*(f + 1)**3
Solve -4/7*l**2 + 48/7 + 44/7*l = 0 for l.
-1, 12
Factor 13*c + 2*c**2 + 242 + 0*c**2 + 31*c + 0*c**2.
2*(c + 11)**2
Solve -70*l - 43*l**3 - 45*l**2 + 25*l**3 + 13*l**3 = 0 for l.
-7, -2, 0
Let i be (11 + -2)/(24/64). Find q such that i*q**2 - 16*q - 8 + 4*q**4 - 16*q**3 - 7 + 19 = 0.
1
Suppose -16 = 10*w - 11*w. Factor 33*d + 46*d**3 + 0*d**5 + w*d**4 - 2*d**2 + 58*d**2 - 9*d + 2*d**5.
2*d*(d + 1)*(d + 2)**2*(d + 3)
Find s, given that 8*s**2 + 18*s**2 + 4*s - 28*s**2 = 0.
0, 2
Let d(s) = -s**3 + 9*s**2 - 11*s - 17. Let j be d(7). Let k be j/(-3)*21/(-14). Suppose -7*m**4 + 4*m**k - 9*m + 9*m**3 - 31 + 33 + m**2 = 0. What is m?
-1, 2/7, 1
Let p(f) = 2*f**3 + 116*f**2 + 8*f - 5200. Let u(n) = n**3 + 39*n**2 + 3*n - 1734. Let y(j) = -3*p(j) + 8*u(j). Factor y(d).
2*(d - 12)**2*(d + 6)
Let y(k) be the first derivative of 3*k**4/4 + 2*k**3 - 9*k**2/2 + 185. Factor y(x).
3*x*(x - 1)*(x + 3)
Let o(p) be the third derivative of -p**7/7 + 19*p**6/15 - 64*p**5/15 + 20*p**4/3 - 16*p**3/3 + 26*p**2 - 2*p. Let o(r) = 0. Calculate r.
2/5, 2/3, 2
Factor 0 - 3/8*a**2 + 3/4*a**3 - 3/8*a**4 + 0*a.
-3*a**2*(a - 1)**2/8
Suppose 0 = 5*m + 3 + 7. Let t = 8 + m. Let -2*y**2 + 0*y**2 + t*y**4 - 2*y**2 + 0*y**2 - 2*y**3 = 0. What is y?
-2/3, 0, 1
Let p(k) be the first derivative of -3*k + 2/3*k**3 - 5/2*k**2 - 11. Factor p(y).
(y - 3)*(2*y + 1)
Let y = -3524 + 3524. Suppose y*r - 4/7*r**2 + 16/7 = 0. Calculate r.
-2, 2
Let k(s) be the first derivative of s**3/3 - s**2/2 - 12*s - 57. Suppose k(y) = 0. Calculate y.
-3, 4
Let o = -390 + 393. Let k(y) be the third derivative of -3/280*y**8 + 5*y**2 + 0*y + 0*y**4 + 0 - 1/75*y**5 + 0*y**o + 11/300*y**6 - 4/175*y**7. Factor k(s).
-2*s**2*(s + 2)*(3*s - 1)**2/5
Determine s, given that -7/2*s**3 - 205/2*s**2 - 218*s - 54 = 0.
-27, -2, -2/7
Suppose 15*t - 93 + 33 = 0. Let i be (0/t)/(-3 + 1). Determine f, given that 0*f**4 + 0*f**2 + 1/5*f**5 + i*f + 0 - 1/5*f**3 = 0.
-1, 0, 1
Let a(r) = 2*r - 21. Let l be a(15). Suppose -5*j + 6 = -l. Factor 3*w**2 + w + 2*w**3 - 4 - w**2 - j*w + 2*w**2.
2*(w - 1)*(w + 1)*(w + 2)
Let d(i) be the third derivative of i**7/630 - 19*i**6/360 - i**5/180 + 19*i**4/72 - 306*i**2. Factor d(b).
b*(b - 19)*(b - 1)*(b + 1)/3
Factor -7*k**2 + 17*k**2 - 3364 - 11*k**2 + 116*k.
-(k - 58)**2
Let o be 0/1 + (-66)/(-22). Suppose -o*f + 4 = -2. Let d(t) = -5*t**2 - 3*t + 4. Let q(s) = 66*s**2 + 39*s - 51. Let w(v) = f*q(v) + 27*d(v). Factor w(k).
-3*(k - 1)*(k + 2)
Let z(h) be the third derivative of 1/168*h**8 + 0*h**3 + 0*h**7 + 2*h**2 - 1/15*h**5 + 0 + 0*h**4 + 0*h - 1/20*h**6. Factor z(g).
2*g**2*(g - 2)*(g + 1)**2
Suppose -2*q = 3*q - 2*p, 2*q = p. Let i(d) be the third derivative of 0*d**3 + 1/24*d**4 + 0 + q*d - 1/20*d**5 + 1/40*d**6 - 1/210*d**7 - d**2. Factor i(f).
-f*(f - 1)**3
Let g = -8 - -11. Suppose 0 = 5*n - 63 + g. Let -2*b**4 + 2 - 7*b**4 - 11*b**3 + n*b**4 - 9*b + 15*b**2 + 0*b**3 = 0. Calculate b.
2/3, 1
Let s be 4/8 - (3 - (0 + 3)). Suppose -5 = 3*k + j - 3, 4*j = -k - 8. What is l in s*l**3 + 2*l**2 + k + 2*l = 0?
-2, 0
Let t(h) be the second derivative of h**6/45 + 2*h**5/15 + 2*h**4/9 - 34*h + 3. Solve t(s) = 0 for s.
-2, 0
Solve 1/4*g - 1/4*g**3 + 15/2 - 15/2*g**2 = 0 for g.
-30, -1, 1
Let u(t) be the second derivative of -t**6/6 + t**5/4 + 5*t**4/6 + 50*t + 1. Factor u(z).
-5*z**2*(z - 2)*(z + 1)
Let k be (-78)/(-24) + 6/8. Suppose k*s - 25 = -0*a + 3*a, 2*s = 5*a + 23. Find w such that -2*w**4 + 8*w**s - 8*w**4 - 2*w**3 = 0.
-1, 0
Let w(a) be the third derivative of a**7/140 + 11*a**6/80 + 3*a**5/8 - 27*a**4/16 + 218*a**2 + 2. Determine d so that w(d) = 0.
-9, -3, 0, 1
Let n(y) = y + 6. Let v be n(-2). Factor -568*i + 552*i + 2 + 16*i**3 - 4*i**v - 8*i**2 + 10.
-4*(i - 3)*(i - 1)**2*(i + 1)
Let d be (-20)/230 - 26/(-299). Let y(k) be the first derivative of -7 + 3/8*k**4 + 2*k**3 + d*k + 3*k**2. Factor y(p).
3*p*(p + 2)**2/2
Let i(k) be the third derivative of 0*k - 1/1785*k**7 + 0*k**3 + 1/2856*k**8 + 0 + 13*k**2 + 1/102*k**5 - 1/340*k**6 - 1/102*k**4. Factor i(h).
2*h*(h - 1)**3*(h + 2)/17
Let b = -71 + 75. Factor 0 - 6/11*x**2 - 6/11*x**3 - 2/11*x**b - 2/11*x.
-2*x*(x + 1)**3/11
Let l(r) = 3*r - 5. Let d be l(3). Let x(q) be the third derivative of 0*q**5 - 1/8*q**d + 0*q**3 + 2*q**2 + 0*q + 1/40*q**6 + 0. Let x(h) = 0. What is h?
-1, 0, 1
Let t(r) be the second derivative of r**7/168 - 23*r**6/60 + 101*r**5/10 - 141*r**4 + 1134*r**3 - 5292*r**2 - 305*r + 2. Factor t(i).
(i - 14)**2*(i - 6)**3/4
Suppose 0*c - 25 = -5*c + 2*k, 4*c + 2*k - 20 = 0. Solve -10*b - 20*b**2 + 10*b**4 - 2*b + 132*b**5 + c*b**3 - 135*b**5 = 0.
-1, -2/3, 0, 2, 3
Let r be (-34)/(-6) + 1*(-1)/3. Determine s, given that r*s**2 + 4/9 - 10/3*s - 22/9*s**3 = 0.
2/11, 1
Let a(w) be the first derivative of w**4/16 - 7*w**3/6 - 4*w**2 - 222. Factor a(g).
g*(g - 16)*(g + 2)/4
Let z = -81949/110 + 745. Let m(p) be the third derivative of 0 + 1/1155*p**7 - 1/132*p**4 + z*p**5 + 0*p - 5*p**2 - 1/220*p**6 + 0*p**3. Factor m(n).
2*n*(n - 1)**3/11
Let u(t) be the second derivative of 1/630*t**6 + 0*t**2 + 1/6*t**3 + 1/42*t**4 + 0 - 1/105*t**5 - 7*t. Let i(r) be the second derivative of u(r). Factor i(k).
4*(k - 1)**2/7
Let a(g) = 11*g**3 + 28*g**2 - 55*g + 36. Let y(z) = 30*z**3 + 84*z**2 - 166*z + 108. Let l(c) = 14*a(c) - 5*y(c). Factor l(o).
4*(o - 3)**2*(o - 1)
Let z(n) = 3*n**3 - 18*n**2 + 4. Let g be z(6). Let m(x) be the second derivative of 1/40*x**6 + 1/48*x**g + 0 + 0*x**2 + 1/20*x**5 - 6*x + 0*x**3. Factor m(q).
q**2*(q + 1)*(3*q + 1)/4
Suppose 4*q - 16 = 0, -b + 3*q - 18 = -2*q. Factor -30 + 30 + 5*i**2 - b*i**2.
3*i**2
Let r(k) be the second derivative of -1/3*k**4 + 0*k**2 + 2/9*k**3 + 0 - 2/9*k**6 + 14*k - 3/5*k**5. Factor r(n).
-4*n*(n + 1)**2*(5*n - 1)/3
Suppose 258*g + 10 = 263*g. Factor -2/7*k**g - 3/7*k**3 + 0 + 0*k - 1/7*k**4.
-k**2*(k + 1)*(k + 2)/7
Let x(l) be the first derivative of -3*l**5/5 - 15*l**4/4 + 6*l**3 - 132. Find i such that x(i) = 0.
-6, 0, 1
Suppose -6*k - 13 = -43. Let p(t) be the third derivative of 0*t**3 - 7*t**2 + 0 + 7/20*t**k + 1/70*t**7 + 1/8*t**6 + 0*t + 3/8*t**4. Find j such that p(j) = 0.
-3, -1, 0
Let j(z) be the first derivative of -z**4/26 - 8*z**3/13 + 243. What is m in j(m) = 0?
-12, 0
Let x(u) = -26*u**2 - 3*u + 5. Let b be x(1). Let i be (b/(-6))/(2 + -1). Let -1/6*l - 1/2*l**2 + 0 - 1/2*l**3 - 1/6*l**i = 0. What is l?
-1, 0
Determine c so that 112/3 - 116/3*c + 4/3*c**2 = 0.
1, 28
Suppose 0 = -5*w - 4*u + 46, 0 = -2*w - 5*u - 1 + 33. Let l be 0*(-3 - (-21)/w). Determine j so that 2/3*j**3 + 0 + l*j + 2/3*j**2 = 0.
-1, 0
Let z be ((4 - 5)/5)/((-2)/18785). Let f = -1838 + z. Factor 4*j - f*j**4 + 45*j**3 + 27/2*j**5 - 22*j**2 + 0.
j*(j - 1)*(3*j - 2)**3/2
Suppose 3*v - 339 = -j, 4*v - 166 = 5*j + 286. Factor 1 - 10*a**3 + 118*a**4 - v*a**4 + 5*a**2 - 1.
5*a**2*(a - 1)**2
Let h(d) = -d**2 - 6*d - 5. Let g(q) = 4*q + 4. Let a(v) = 3*v + 3. Let s(b) = 3*a(b) - 2*g(b). Let i(o) = h(o) + 5*s(o). Factor i(j).
-j*(j + 1)
Let h(c) be the first derivative of 4*c**5/5 - 10*c**4 - 36*c**3 + 72*c**2 + 677. Solve h(w) = 0.
-3, 0, 1, 12
Let u(m) be the third derivative of m**7/140 + m**6/120 - 31*m**5/40 - 19*m**4/6 - 5*m**3 + 137*m**2. Solve u(d) = 0.
-5, -1, -2/3, 6
Let x(n) = n**2 - 62*n + 338. Let b be x(56). Factor 2/3*d + 0 - 1/3*d**b - 2/3*d**3 + 1/3*d**4.
d*(d - 2)*(d - 1)*(d + 1)/3
Let f(g) be the second derivativ