 y(o). Factor l(m).
-3*(m + 1)**2/2
Let d(b) be the first derivative of -b**5/5 + b**4/2 - b**3/3 - 112. Find g such that d(g) = 0.
0, 1
Let a(c) be the third derivative of 0*c**4 + 0 + 1/396*c**6 + 4*c**2 + 0*c - 1/330*c**5 + 1/6*c**3. Let q(x) be the first derivative of a(x). Factor q(i).
2*i*(5*i - 2)/11
Let q(i) be the first derivative of -i**5/45 - i**4/4 - 17*i**3/27 + i**2/2 + 2*i + 380. Let q(p) = 0. Calculate p.
-6, -3, -1, 1
Let q = -2245 - -2245. Let 0 - 2/13*a**4 + q*a + 0*a**2 - 2/13*a**3 = 0. What is a?
-1, 0
Let 0*s + 15/4*s**5 + 12*s**3 + 0 + 51/4*s**4 + 3*s**2 = 0. What is s?
-2, -1, -2/5, 0
Let h(q) = -q**3 + 5*q**2 + q - 3. Let t(g) = -g + 11. Let s be t(6). Let c be h(s). Factor 6*k**4 + 4*k**4 - 16*k**4 - k**c - 5*k**3.
-k**2*(2*k + 1)*(3*k + 1)
Let x = -1/6106 + 61071/67166. Factor -6/11*g - x*g**2 - 2/11*g**3 + 0 + 2/11*g**4.
2*g*(g - 3)*(g + 1)**2/11
Factor 1/4*n**4 - 3/4*n**3 + 1/4*n**5 + 0 - 1/2*n - 5/4*n**2.
n*(n - 2)*(n + 1)**3/4
Let i(u) be the first derivative of -2*u**5/5 - u**4 + 2*u**3 + 4*u**2 - 8*u - 90. Factor i(c).
-2*(c - 1)**2*(c + 2)**2
Let m be 3 - 1 - ((-13)/(-65))/(1/7). Factor -9/5 + 12/5*z - m*z**2.
-3*(z - 3)*(z - 1)/5
Let f be ((-10)/6 - 0)*-5. Let q be (-2260)/(-195) + 28/26*4/56. Factor -1/3*b**3 - 11/3*b**2 - f - q*b.
-(b + 1)*(b + 5)**2/3
Factor -2/9*q**2 + 160/9*q - 3200/9.
-2*(q - 40)**2/9
Let i(q) be the third derivative of -q**5/630 - 17*q**4/252 - 52*q**3/63 - 223*q**2. Let i(n) = 0. Calculate n.
-13, -4
Let a(g) be the third derivative of 3*g**8/224 + 17*g**7/140 + 21*g**6/80 - 21*g**5/40 - 2*g**4 + 3*g**3 - 13*g**2 + 24*g. Find c such that a(c) = 0.
-3, -2, 1/3, 1
Let 47*i + 36*i - i**2 - 10 - 90*i = 0. What is i?
-5, -2
Determine u so that -236/15*u**2 - 8*u + 80/3 - 14/5*u**3 - 2/15*u**4 = 0.
-10, -2, 1
Factor -2/9*t**2 - 412/9*t - 21218/9.
-2*(t + 103)**2/9
Let u(y) = 10*y + 0*y + 2*y + 4*y + 1. Let j be u(2). Factor -35*c**2 - 4*c**3 + 2*c**3 + j*c**2.
-2*c**2*(c + 1)
Factor -1/5*a**4 - 3*a**2 + 0 + 9/5*a + 7/5*a**3.
-a*(a - 3)**2*(a - 1)/5
Let t(n) be the first derivative of 5*n**6/6 - 6*n**5 - 15*n**4 + 350*n**3/3 + 375*n**2/2 - 41. Factor t(b).
5*b*(b - 5)**2*(b + 1)*(b + 3)
Let f(m) be the third derivative of -2/105*m**7 + 1/504*m**8 - 1/9*m**5 + 0*m - 2*m**2 + 1/12*m**4 + 0 + 0*m**3 + 1/15*m**6. Factor f(s).
2*s*(s - 3)*(s - 1)**3/3
Let b(q) be the first derivative of 0*q - 1/4*q**4 - 57 + 0*q**2 + 0*q**3 + 1/5*q**5. Factor b(n).
n**3*(n - 1)
Suppose -2*a = -c + 3*a + 8, 0 = 3*c + 3*a - 6. Find k such that -k**5 - 15*k**4 - 15*k**c - 10*k**5 + 6*k**5 - 5*k**2 = 0.
-1, 0
Let z(g) be the first derivative of -g**4/22 + 3*g**2/11 + 4*g/11 - 43. Factor z(s).
-2*(s - 2)*(s + 1)**2/11
Suppose 0 = 3*u - 3, -3*g - 4*u = -5*u - 17. Factor -10 - g - 15*r**2 + 4*r**3 - 5*r**2 + 32*r.
4*(r - 2)**2*(r - 1)
Let j(f) be the second derivative of -f**4/4 - 3*f**3/2 - 3*f**2 - 11*f - 4. Suppose j(r) = 0. Calculate r.
-2, -1
Let w(f) be the third derivative of f**7/70 + f**6/5 - 3*f**5/20 - 13*f**4/4 - 8*f**3 - 250*f**2. Factor w(o).
3*(o - 2)*(o + 1)**2*(o + 8)
Let t = 281 - 279. Factor 0 + 2/3*a - 5/3*a**t.
-a*(5*a - 2)/3
Let g = 38223 + -420451/11. Solve -6/11*v**2 + 6/11 + g*v - 2/11*v**3 = 0.
-3, -1, 1
Let r be 290/90*1 + -3. Find w, given that 0*w + 0*w**2 - 4/9*w**4 + 0*w**3 + r*w**5 + 0 = 0.
0, 2
Let p(z) = z**2 + 5*z - 1. Let i be p(-6). Solve -2 - 9 - 20*t**2 + i*t**3 + 11 = 0 for t.
0, 4
Let z(u) = u**3 - 8*u**2 - 9*u + 2. Let n be z(9). Factor 0*i**3 - i**2 + 5*i**4 - 4*i**n + 7*i - 10*i**3 + 3*i.
5*i*(i - 2)*(i - 1)*(i + 1)
Let h(i) be the first derivative of 18/5*i**2 + 2/15*i**6 + 14/5*i**4 + 42 - 8/5*i - 24/25*i**5 - 64/15*i**3. Factor h(y).
4*(y - 2)*(y - 1)**4/5
Let r(p) be the second derivative of -11*p**4/15 - 19*p**3/15 + 3*p**2/5 - 36*p. Factor r(t).
-2*(t + 1)*(22*t - 3)/5
Suppose 15 = 4*n + 3. Suppose -6 - 3*q**5 - 2*q + 0*q**2 - 7*q + 12*q**3 + 6*q**2 + 0*q**n = 0. What is q?
-1, 1, 2
Let t(j) be the third derivative of -j**8/784 + 3*j**7/490 - j**6/140 + 19*j**2 - 2*j. Factor t(g).
-3*g**3*(g - 2)*(g - 1)/7
Let d(z) be the third derivative of -5*z**8/336 - z**7/7 - z**6/12 + 5*z**5/3 + 45*z**4/8 + 25*z**3/3 + 74*z**2. Factor d(u).
-5*(u - 2)*(u + 1)**3*(u + 5)
Let y(g) = -4*g**3 + 86*g**2 - 660*g + 968. Let n(h) = h**2. Let b(z) = -10*n(z) - y(z). Let b(x) = 0. Calculate x.
2, 11
Let k = -1/7744 + 108425/69696. Determine r, given that -196/9 - 742/9*r - 200/9*r**2 - k*r**3 = 0.
-7, -2/7
Let r(b) be the third derivative of -b**6/300 - 13*b**5/150 + b**4/60 + 13*b**3/15 + 36*b**2. Factor r(n).
-2*(n - 1)*(n + 1)*(n + 13)/5
Factor 3/2 - 2*o + 1/2*o**2.
(o - 3)*(o - 1)/2
Let t(g) be the second derivative of 0 + 0*g**3 - 44*g + 2/165*g**6 + 1/110*g**5 - 1/231*g**7 - 1/33*g**4 + 0*g**2. Solve t(i) = 0 for i.
-1, 0, 1, 2
Let p be 5*(60/25)/(-6). Let h be (-102)/(-30) - p/(-5). Factor 0*g + 1/5*g**h + 0 + 1/5*g**2.
g**2*(g + 1)/5
Let x(t) be the first derivative of -33*t**5/5 - 47*t**4/2 - 31*t**3 - 18*t**2 - 4*t - 5. Solve x(b) = 0.
-1, -2/3, -2/11
Let p(d) = -d**3 + 5*d**2 + 33*d + 29. Let a be p(9). Determine f so that -4/7*f**3 - 1/7*f**a + 0 + 0*f = 0.
-1/4, 0
Factor -436/3*y**2 - 2080*y - 4800 + 52/3*y**3 - 1/3*y**4.
-(y - 30)**2*(y + 4)**2/3
Let b(o) be the third derivative of o**7/105 + o**6/30 - o**5/30 - o**4/6 - 42*o**2. Factor b(w).
2*w*(w - 1)*(w + 1)*(w + 2)
Let b be ((-49)/21)/(-7)*-3 + 3. Factor 0 - 3/4*w - 3/8*w**b.
-3*w*(w + 2)/8
Let p(s) = s - 20. Let z be p(19). Let o(n) = 16*n**4 - 40*n**3 + 33*n**2 - 10*n + 6. Let c(q) = 1. Let g(f) = z*o(f) + 5*c(f). Factor g(m).
-(m - 1)**2*(4*m - 1)**2
Let p(z) = -6*z**2 + 1158*z - 111753. Let o(w) = 11*w**2 - 2316*w + 223504. Let v(a) = 3*o(a) + 5*p(a). Suppose v(s) = 0. What is s?
193
Factor 39/4*s**4 + 42*s**3 + 0 + 3/4*s**5 + 0*s + 60*s**2.
3*s**2*(s + 4)**2*(s + 5)/4
Let q(l) be the second derivative of -l**3/6 - 2*l**2 + 11*l. Let a be q(-4). Factor 4/5*d + 2/5*d**3 - 6/5*d**2 + a.
2*d*(d - 2)*(d - 1)/5
Find k such that -2*k**5 + 5*k + 10*k**4 - 3*k**5 - 42*k**2 + 32*k**2 = 0.
-1, 0, 1
Factor 3/5*a**2 + 0*a + 0 - 4/5*a**3.
-a**2*(4*a - 3)/5
Factor -2/11*f**3 - 6/11*f + 0 - 8/11*f**2.
-2*f*(f + 1)*(f + 3)/11
Let z be 3/(-30)*70/(-21). Factor -1/3*q + 2/3*q**4 + 1/3 - q**2 + z*q**3.
(q - 1)*(q + 1)**2*(2*q - 1)/3
Suppose -2 = 2*u + 2. Let v be u/1 - (5 + -7). Factor 12*n + 9*n**2 + 3*n**4 + 15*n**2 - 15*n**3 - 24*n + v*n**4.
3*n*(n - 2)**2*(n - 1)
Determine a, given that 0*a**4 + 108*a - a**5 - 9*a**4 - 39*a**3 + 70*a**3 + 153*a**2 - 2*a**5 + 8*a**3 = 0.
-3, -1, 0, 4
Let v(l) = l**3 + 4*l**2 + 3*l - 4. Let o(d) = -d**3 - 9*d**2 - 8*d + 9. Let w(g) = -4*o(g) - 9*v(g). Determine s, given that w(s) = 0.
-1, 0, 1
Let i be (-1 - 2)/3 - (-5 - 1). Factor 2*q**4 + 2*q**3 - q**5 - 8*q + 2 + q**2 + 2*q - i*q**2 + 5*q.
-(q - 2)*(q - 1)**2*(q + 1)**2
Suppose 0 = -84*r - 32 + 200. Factor -2/7*v**r + 8/7*v + 10/7.
-2*(v - 5)*(v + 1)/7
Factor 2/3*r**4 - 216 - 48*r + 154/3*r**2 + 12*r**3.
2*(r - 2)*(r + 2)*(r + 9)**2/3
Let i be (-6)/48 - (-51)/360. Let o(n) be the second derivative of i*n**4 + 0 + 9/10*n**2 - n - 1/5*n**3. Factor o(g).
(g - 3)**2/5
Let j = -3823/3 - -1276. Let q(d) be the first derivative of 1 - 20*d + 10*d**2 - j*d**3. Factor q(i).
-5*(i - 2)**2
Let t = -2 - 7. Let n = t - -13. Factor 4*u**3 - u**2 - 2*u**3 - u + u**n - u**3.
u*(u - 1)*(u + 1)**2
Suppose 30*m = -2*m + 64. Let j(d) be the first derivative of 3/2*d**m - 3*d - 3/4*d**4 + d**3 + 13. Find v, given that j(v) = 0.
-1, 1
Let o(a) = 4*a**2 - 21*a + 15*a**3 - 3 + 21*a. Let d(q) = -16*q**3 - 4*q**2 + 2. Suppose r + 24 = 18. Let b(k) = r*d(k) - 4*o(k). Find u such that b(u) = 0.
-2/9, 0
Determine o, given that 2632*o**4 + 26 - 2630*o**4 - 18*o**2 + 8*o - 2 = 0.
-3, -1, 2
Let p(i) = 3*i + 6. Let t be p(-4). Let d be (t - (-6 + 3)) + 7. Factor -63*q**4 + 59*q**4 + 4*q**3 - d*q**3.
-4*q**4
Let y(j) be the first derivative of -10*j**2 - 8/3*j**3 + 5*j**4 + 8*j + 25. Find n, given that y(n) = 0.
-1, 2/5, 1
Factor -p + 45*p**4 - 40*p**3 - 61*p**5 + p + 118*p**5 - 62*p**5.
-5*p**3*(p - 8)*(p - 1)
Let g(b) = 3*b**2 - 3*b + 4. Let v(x) = -x**2. Let j(o) = -g(o) - 4*v(o). Let n be j(-4). Let n + 7/4*m**2 - 7/4*m**4 + 1/2*m**3 - 1/2*m = 0. What is m?
-1, 0, 2/7, 1
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