ven that -8 - 4/5*d**2 + 44/5*d = 0.
1, 10
Factor 333/2*x**2 + 408*x**3 - 24*x + 867/4*x**4 + 3/4.
3*(x + 1)**2*(17*x - 1)**2/4
Let k = -4/13 + 428/39. Let w = 599/3 + -199. Suppose 128/3*b**2 + w - k*b = 0. What is b?
1/8
Determine n so that 4 + 16/3*n + 7/3*n**2 + 1/3*n**3 = 0.
-3, -2
Let s = -21 + 32. Let u = s - 11. Let u + 4/3*g - 2/3*g**2 = 0. Calculate g.
0, 2
Let a(w) be the second derivative of w**7/420 - 13*w**6/300 - 63*w**5/200 - 83*w**4/120 - 17*w**3/30 - 76*w + 1. Suppose a(x) = 0. Calculate x.
-2, -1, 0, 17
Solve -120*x + 6/5*x**4 + 0 - 126/5*x**3 + 144*x**2 = 0.
0, 1, 10
Let b = -5522 + 5527. Let 4/5*x**2 - 4/5*x**4 + 0 - 2/5*x**b + 0*x**3 + 2/5*x = 0. Calculate x.
-1, 0, 1
Let s(y) = -y**3 + 15*y**2 + 2. Let o(g) = -6*g - 9. Let d be o(-4). Let j be s(d). Factor -j*m + 0*m + 12 + m**2 - 15.
(m - 3)*(m + 1)
Let m(i) be the first derivative of 9 + 2/3*i + 4/27*i**3 + 11/18*i**2 - 1/36*i**4. Factor m(n).
-(n - 6)*(n + 1)**2/9
Let r be (-2)/4 + (-2)/(-40)*26. Solve -r*t + 2/5*t**5 + 0 + 2/5*t**3 - 6/5*t**2 + 6/5*t**4 = 0 for t.
-2, -1, 0, 1
Let z(h) be the second derivative of -h**7/126 + 2*h**6/45 - h**5/12 + h**4/18 - 11*h - 7. Factor z(u).
-u**2*(u - 2)*(u - 1)**2/3
Let m(p) = -14*p**2 - p + 5. Let d(k) = -5*k**2 + 2. Let c(s) = -11*d(s) + 4*m(s). Let b be c(-2). Factor 0 + 0*n + 2/3*n**b + n**3 + 1/3*n**4.
n**2*(n + 1)*(n + 2)/3
Let m = 51 - 56. Let d be 0*((2 - -4) + m). Factor -1/2*o**2 + d - 1/4*o**3 - 1/4*o.
-o*(o + 1)**2/4
Let h be (-20)/175 - (-16 - 156/(-10)). Solve 4/7 - h*d - 2/7*d**2 = 0.
-2, 1
Let w be 0/(-3) - -55 - 3/3. Let f be 12/8*3/w*10. Let 1/6*x**5 + 5/6*x**4 + f*x + 5/3*x**3 + 5/3*x**2 + 1/6 = 0. Calculate x.
-1
Let o(m) be the first derivative of -m**4/6 - 14*m**3/9 + m**2/3 + 14*m/3 + 62. Factor o(j).
-2*(j - 1)*(j + 1)*(j + 7)/3
Let q(t) be the second derivative of -2/3*t**3 + 7/180*t**5 + 0*t**2 + 0 - 5*t - 1/18*t**4 + 1/60*t**6. Let g(r) be the second derivative of q(r). Factor g(x).
2*(x + 1)*(9*x - 2)/3
Let a(c) be the third derivative of -c**6/540 - c**5/54 + c**4/18 + c**2 + 26. Suppose a(m) = 0. Calculate m.
-6, 0, 1
Let m be (-11 + 3)/4 - -1. Let f(y) = -7*y**3 + 7*y**2 + 4*y - 1. Let k(t) = t**3 - t**2 + t + 1. Let s(a) = m*f(a) - 3*k(a). Suppose s(w) = 0. Calculate w.
-1/2, 2
Let a = 17/15 - 7/15. Let p(n) be the first derivative of -4/9*n**3 - 2 + 7/6*n**2 + a*n. Let p(h) = 0. Calculate h.
-1/4, 2
Suppose k = -304*n + 309*n - 8, 5*k = -4*n + 18. Factor -4/7*y**4 - 36/7*y**n + 20/7*y**3 - 8/7 + 4*y.
-4*(y - 2)*(y - 1)**3/7
Factor -15*p**2 + 7*p - 65*p - 12 - 36*p + 2*p.
-(p + 6)*(15*p + 2)
Let b(m) be the first derivative of -m**8/224 + m**7/14 - m**6/2 + 2*m**5 - 5*m**4 + 8*m**3 - m**2 + 3. Let w(g) be the second derivative of b(g). Factor w(f).
-3*(f - 2)**5/2
Let v(u) be the second derivative of -u**4/6 + 116*u**3/3 - 3364*u**2 - 258*u. Determine m, given that v(m) = 0.
58
Suppose -45*c**2 - 12*c**3 - 726*c**5 + 1383*c**5 + 73*c + 224*c**4 - 25*c - 693*c**5 - 179*c**2 = 0. What is c?
-1, 0, 2/9, 1, 6
Suppose o = -o + 6. Suppose 4*q = 2*t + 2*t - 8, -t - 4*q = -2. Suppose 50*k**o - 4*k - 3*k**5 + 12*k**t + 19*k**5 - 4*k + 60*k**4 + 14*k**3 = 0. Calculate k.
-2, -1, 0, 1/4
Suppose 20 = 5*k - 5*u, -k = 5*u - 0 + 8. Suppose 10 = 4*i - k. Determine h, given that 4*h**3 + h**i - 4*h**3 - 2*h**2 + 3*h - 2*h = 0.
0, 1
Suppose -4*d + l + 5 = 0, -6*l + 6 = -12. Factor 0*v - 2/5*v**d + 0 - 3/5*v**3 - 1/5*v**4.
-v**2*(v + 1)*(v + 2)/5
Let g(c) be the second derivative of c**4/48 - c**3/12 - 2*c + 10. Suppose g(v) = 0. What is v?
0, 2
Let v(i) be the second derivative of -i**4/108 + 5*i**3/18 + 187*i. Factor v(a).
-a*(a - 15)/9
Let t(g) be the first derivative of -5*g**3/3 + 15*g**2/2 - 12*g + 15. Let l(v) = -25*v**2 + 75*v - 61. Let s(h) = 2*l(h) - 11*t(h). Solve s(m) = 0 for m.
1, 2
Suppose -4*s - 548 - 280 = 0. Let x = -1861/9 - s. Find m, given that 4/9*m**3 + 0 + 0*m + x*m**4 + 2/9*m**2 = 0.
-1, 0
Factor 95/2*h + 185/4 + 5/4*h**2.
5*(h + 1)*(h + 37)/4
Let c be 24/180 - (-28)/15. Suppose -35*q**2 - c*q**4 - 8*q**4 + 35*q**3 + 5*q + 5*q = 0. Calculate q.
0, 1/2, 1, 2
Let v(y) be the second derivative of -1/60*y**4 - 1/30*y**3 + 0*y**2 + 3*y + 0. Let v(p) = 0. Calculate p.
-1, 0
Let l(u) = -u + 11. Let j be l(9). Factor 10*p**2 - 12*p**j - 2*p**3 - 18 + 18.
-2*p**2*(p + 1)
Let s(y) = -y**3 + y**2 + 2*y + 4. Let o be s(2). Factor -o*k**2 + 4*k**4 + 0*k**2 - 623*k**5 - 2*k + 625*k**5.
2*k*(k - 1)*(k + 1)**3
Let p = -299 - -302. Let d(g) be the first derivative of -3/7*g**2 + 4 - 2/21*g**p - 4/7*g. Factor d(a).
-2*(a + 1)*(a + 2)/7
Let d(v) be the second derivative of v**4/72 + v**3/6 - 571*v. Solve d(z) = 0.
-6, 0
Let x(t) be the second derivative of -t**4/36 - t**3/6 + 2*t**2/3 - 109*t. Factor x(l).
-(l - 1)*(l + 4)/3
Let k = -19 - -21. Let r be (k/(-4))/((-3)/72). What is l in 0*l**2 - 8*l**2 - r + 2*l**2 + 9*l**2 = 0?
-2, 2
Let o(y) be the first derivative of -y**7/42 + y**6/6 - y**5/2 + 5*y**4/6 - 5*y**3/6 + 11*y**2/2 + 2. Let n(s) be the second derivative of o(s). Factor n(r).
-5*(r - 1)**4
Let w(x) be the first derivative of 15/2*x + 5/18*x**3 - 5/2*x**2 + 7. Suppose w(n) = 0. What is n?
3
Let v = 443/8943 - -3/271. Let r(g) be the third derivative of -2/15*g**5 + v*g**3 - 7*g**2 + 0*g + 1/44*g**4 + 0. Factor r(o).
-2*(4*o - 1)*(11*o + 2)/11
Let n be 3/(-9) + (-210)/(-9). Let j(h) = -h**2 - h**2 - n*h - 2 + 19*h. Let l(u) = -5*u**2 - 11*u - 6. Let c(k) = 8*j(k) - 3*l(k). Solve c(q) = 0 for q.
-1, 2
Suppose 2*g - 20 = -8. Let a be 6 - g*(-3)/(-6). Factor 3/2*f - 1/2 - 3/2*f**2 + 1/2*f**a.
(f - 1)**3/2
Let q(p) = p**3 + p**2 + 2*p - 10. Let x be q(0). Let j be (-62)/x + 1 + -4. Solve -26/3*o**3 + 14/5*o**2 + j*o**4 - 4/15*o + 0 + 224/15*o**5 = 0.
-1, 0, 1/4, 2/7
Suppose -5*n + 3*n = 0. Suppose 0 = -u - n + 2. Determine o, given that 4*o**u + 4*o**2 - 2*o**2 - o + 4*o + 3*o**3 = 0.
-1, 0
Suppose 5*q = 10, i - 2 = -0*q + q. Let s(m) be the second derivative of i*m + 0*m**2 + 0 - 1/15*m**4 - 2/15*m**3. Factor s(y).
-4*y*(y + 1)/5
Factor 10*t**2 + 68/7*t + 2/7*t**3 + 0.
2*t*(t + 1)*(t + 34)/7
Suppose 0*y + 16 = 4*y. Suppose -4*g = -6 - 2. Determine v so that v**g + 1 + y*v + 8*v - 10*v = 0.
-1
Let h(w) be the first derivative of -7 + 0*w**3 - 6/5*w**5 - 3/2*w**2 + 0*w + 9/4*w**4. Factor h(n).
-3*n*(n - 1)**2*(2*n + 1)
Let q(b) be the first derivative of -5*b**4/4 - 5*b**3/3 - 44. Determine h, given that q(h) = 0.
-1, 0
Suppose 5*n = -6*n. Suppose -a - 13 + 15 = 0. Find d such that -2/9*d**a + 2/9*d + n = 0.
0, 1
Suppose -z + 3 = 2*z, -5*r + 4*z = -296. Solve r*a**3 - 13 + 4*a**5 + 13 - 8*a**4 + 16*a - 52*a**2 - 20*a**4 = 0 for a.
0, 1, 4
Suppose 2*m + 3*p = 0, 5*p + 7 = -3. Suppose 0 = m*i + i - 8. Solve -4*h**3 - h**5 + 6*h**3 - h + 2*h**4 + 0 - 4*h**i + 2 = 0 for h.
-1, 1, 2
Let a(i) be the second derivative of -5*i**7/42 + 5*i**6/3 - 15*i**5/2 + 50*i**4/3 - 125*i**3/6 + 15*i**2 + 97*i. Solve a(v) = 0 for v.
1, 6
Let m(g) be the third derivative of 0*g + 11/15*g**5 - 2*g**4 + 3*g**3 + 0 + g**2 - 2/15*g**6 + 1/105*g**7. Suppose m(t) = 0. What is t?
1, 3
Let n(x) = -3*x**4 - 9*x**3 - 6*x**2 + 12*x - 6. Let p(s) = -s**4 - s**2 - 1. Suppose -7*c = -2*c + 5. Let b(g) = c*n(g) + 6*p(g). Factor b(i).
-3*i*(i - 2)**2*(i + 1)
Let f(w) be the third derivative of -w**5/75 - 44*w**4/5 - 11616*w**3/5 + 264*w**2. Suppose f(r) = 0. Calculate r.
-132
Let d(x) be the second derivative of -x**7/126 - x**6/9 - 2*x**5/5 - 11*x**4/18 - 7*x**3/18 + 21*x. Factor d(s).
-s*(s + 1)**3*(s + 7)/3
Let m be 1 - (-70)/(-90) - (-39)/27. Solve 0 - 20/3*g - m*g**2 = 0.
-4, 0
Let i(v) be the first derivative of -2*v**3/33 + 2*v**2/11 + 16*v/11 + 167. Suppose i(m) = 0. What is m?
-2, 4
Let q(l) be the second derivative of 1/6*l**2 + 1/30*l**5 + 0 - 1/36*l**4 + 0*l**6 - 1/12*l**3 - 1/252*l**7 - 2*l. Factor q(r).
-(r - 1)**3*(r + 1)*(r + 2)/6
Let x = 3 + 2. Let i(d) be the first derivative of 1/6*d**6 + 3/5*d**x + 3/4*d**4 + 1/3*d**3 + 0*d + 0*d**2 + 5. Factor i(a).
a**2*(a + 1)**3
Let o(s) be the third derivative of -s**7/2520 + s**6/120 - 3*s**5/40 - s**4/8 + 7*s**2. Let p(z) be the second derivative of o(z). Factor p(u).
-(u - 3)**2
Let c(g) be the second derivative of -g**4/16 - 39*g**3/8 - 11*g - 6. Factor c(k).
-3*k*(k + 39)/4
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