8*s + 699 = -11*s, 5*s = -4*t - 936. Let n = 231 + t. Suppose 0*q - 63/2*q**4 - 2*q**3 + 2*q**n + 0 = 0. Calculate q.
-2/7, 0, 2/9
Let m(q) = 12*q + 123. Let k be m(-10). Suppose 15*l - 17*l = k*u - 16, u + 18 = 4*l. Factor 1/3*w**u + w + 2/3.
(w + 1)*(w + 2)/3
Let d(r) be the third derivative of 1/600*r**6 + 11/300*r**5 - 22*r**2 + 0 + 19/120*r**4 + 3/10*r**3 + 0*r. Factor d(a).
(a + 1)**2*(a + 9)/5
Let g(k) be the first derivative of k**4 + 4*k**3 - 8*k**2 - 87. Find a, given that g(a) = 0.
-4, 0, 1
Let u(x) be the first derivative of -x**8/672 - x**7/168 - x**6/144 - 28*x**3/3 + 5. Let r(t) be the third derivative of u(t). Factor r(n).
-5*n**2*(n + 1)**2/2
Let g be ((-3)/((-3)/2))/((-726)/(-121)). Suppose 0*l + g*l**2 - 1/3*l**3 + 0 = 0. What is l?
0, 1
Factor 18*t + 7/2*t**2 + 5/2.
(t + 5)*(7*t + 1)/2
Let y(f) = 10*f**4 - 12*f**3 + 6*f**2 + 4*f - 3. Let o(u) = -9*u**4 + 12*u**3 - 6*u**2 - 4*u + 3. Let a(c) = -5*o(c) - 4*y(c). What is z in a(z) = 0?
-3/5, 1
Let g(k) be the third derivative of -1/240*k**4 + 0 + 0*k + 0*k**3 + 1/100*k**5 - 10*k**2. Find j such that g(j) = 0.
0, 1/6
Let c(j) be the second derivative of j**7/1008 + 7*j**6/1440 + j**5/120 - 29*j**4/12 - 23*j. Let k(q) be the third derivative of c(q). Solve k(l) = 0 for l.
-1, -2/5
Let v(n) be the first derivative of 0*n**2 + 0*n + 8 - 5/8*n**4 - 1/4*n**5 + 0*n**3. Let v(a) = 0. Calculate a.
-2, 0
Let k be 14/4 + (-15)/(-10). Suppose -6*c**4 + 6*c**2 - 5*c**5 + 0*c + 2*c**k - 2*c + 5*c = 0. Calculate c.
-1, 0, 1
Let d(o) be the second derivative of 22*o + 5/12*o**4 + 0*o**3 + 0 - 10*o**2. Let d(a) = 0. What is a?
-2, 2
Let -15*x**3 - x**4 + 20*x - 4*x**4 - 12*x + 12*x = 0. Calculate x.
-2, 0, 1
Factor -1/4*x**3 - 3/2*x**2 + 1/4*x + 3/2.
-(x - 1)*(x + 1)*(x + 6)/4
Determine s, given that -2/9*s**2 + 70/9*s - 68/9 = 0.
1, 34
Factor 1/7*h**2 + 16/7*h - 16/7 - 1/7*h**3.
-(h - 4)*(h - 1)*(h + 4)/7
Let g be 25/((-500)/30)*2/(-45). Let t(p) be the third derivative of 2*p**2 + 0 + 5/6*p**4 + 8/3*p**3 + g*p**5 + 0*p. Factor t(o).
4*(o + 1)*(o + 4)
Let v(m) = m**3 + m**2 + 2*m. Let t be v(0). Suppose 4*z - z + 2*u = 278, t = 3*z + u - 280. Factor -55*q**2 + 28*q**3 - 21*q + z*q + 71*q - 32 - 65*q**2.
4*(q - 2)**2*(7*q - 2)
Let l(n) be the third derivative of -n**7/2100 + n**6/450 + n**5/100 - 22*n**3/3 + 16*n**2. Let i(y) be the first derivative of l(y). Let i(o) = 0. Calculate o.
-1, 0, 3
Suppose -21*m = 10 + 11. Let o be (-5)/(-1) + (m - 2). Factor 3/4 + 0*k - 3/4*k**o.
-3*(k - 1)*(k + 1)/4
Let a(z) be the first derivative of z**5/240 - z**4/32 - z**3/6 + 7*z**2/2 + 3. Let o(h) be the second derivative of a(h). Factor o(r).
(r - 4)*(r + 1)/4
Let m(t) be the second derivative of -9*t**6/10 + 36*t**5 - 839*t**4/2 + 520*t**3 - 507*t**2/2 + 85*t - 2. Let m(v) = 0. What is v?
1/3, 13
Let c = -267 - -1077/4. Let q(j) be the first derivative of 6 - 15/2*j**2 - 6*j + 4*j**3 + c*j**4. Find b, given that q(b) = 0.
-2, -1/3, 1
Let w(n) = n**2 + 37*n + 2. Let h(v) = v**2 + 2*v + 1. Let m(r) = 2*h(r) - w(r). Determine j so that m(j) = 0.
0, 33
Find x such that 410*x**3 - 1152*x - 640*x**2 + 64 - 260*x**3 + 308*x**3 + 328*x**3 + 148*x**5 + 732*x**4 + 62*x**3 = 0.
-2, 2/37, 1
Determine a so that -4/13*a + 0 - 2/13*a**2 = 0.
-2, 0
Let t(l) be the second derivative of -l**7/630 + l**6/9 - 10*l**5/3 + 19*l**4/12 - 5*l. Let s(o) be the third derivative of t(o). Factor s(p).
-4*(p - 10)**2
What is j in -48/5*j**5 - 32/5*j**2 - 106/5*j**3 + 0 - 124/5*j**4 - 2/5*j = 0?
-1, -1/2, -1/12, 0
Solve -64*d**2 + 58/3*d**3 - 14/9*d**4 - 64/3 + 664/9*d = 0.
3/7, 2, 8
Let i = 4 + 1. Suppose i*y - 6 = 4. Determine j so that -j**4 - j**4 + 4 - 6*j**3 + 3*j + 3*j - 2*j**y = 0.
-2, -1, 1
Let y(r) be the first derivative of -4/21*r**3 - 8/7*r - 38 + 6/7*r**2. Factor y(a).
-4*(a - 2)*(a - 1)/7
Let j = 46 - 41. Suppose j*m - 5*m**2 + 2*m**2 + m**2 - m = 0. What is m?
0, 2
Let h be 10 - -9 - 71/4. Suppose j**3 + 1/2*j**2 - h*j - j**4 + 1/2 + 1/4*j**5 = 0. Calculate j.
-1, 1, 2
Suppose o + 2*o - 12 = 0. Suppose 15 = 5*y + 5*n, -5*y + 5*n + 9 = o*n. Factor -4*k**2 - 5*k**2 + 5*k**y + 3*k**2 + k.
-k*(k - 1)
Let q(w) be the first derivative of -w**5/10 + 7*w**4/8 + 3*w**3/2 - 7*w**2/4 - 4*w - 13. Determine d, given that q(d) = 0.
-1, 1, 8
Let d(m) = -2*m**4 - 5*m**3 - m**2 + 9*m. Let u = 1 - 2. Let r(g) = -g**3 + g**2 - g. Let o(c) = u*d(c) - r(c). Solve o(z) = 0.
-2, 0, 1
Let k = 11 - 4. What is b in -8*b**2 - 2 + 4*b**5 + k - 9 + 12*b**4 - 12*b + 8*b**3 = 0?
-1, 1
Let c be 20/(-2)*(52/60 - 1). Let q = -56 - -58. Determine r, given that -c*r**q + 2/3*r + 4/3 - 2/3*r**3 = 0.
-2, -1, 1
Let i(z) be the first derivative of z**7/105 + z**6/30 - 2*z**5/5 + 7*z**4/6 - 5*z**3/3 - 7*z**2 + 1. Let g(n) be the second derivative of i(n). Factor g(s).
2*(s - 1)**3*(s + 5)
Let s(u) = -3*u**3 + 6*u**2 + u - 4. Let l(o) = 2*o**3 - 4*o**2 - o + 3. Let z(q) = -4*l(q) - 3*s(q). Factor z(g).
g*(g - 1)**2
Let u(p) be the first derivative of -p**5/160 + p**4/24 - p**3/12 + 5*p + 32. Let r(g) be the first derivative of u(g). Factor r(o).
-o*(o - 2)**2/8
Let c(g) be the first derivative of -7 - 4/3*g**3 + 8*g + 2*g**2. Factor c(a).
-4*(a - 2)*(a + 1)
Determine n, given that -13*n**2 + 14102*n - 13857*n + 14*n**2 - 36*n**2 + 621 + 1094 - 5*n**3 = 0.
-7, 7
Let a(n) be the first derivative of 24/7*n - 2*n**3 - 3/28*n**4 + 6/7*n**2 - 34 + 9/35*n**5. Find h such that a(h) = 0.
-2, -2/3, 1, 2
Let q be (-4213)/(-121) + 4/22. Solve -4*c**2 + 2*c**4 + 6*c**3 - q + 5*c + 2 + 17 - 29*c = 0 for c.
-2, -1, 2
Let b = -16195/4 + 4049. What is f in -b*f**3 - 21/4*f**2 - 343/4 - 147/4*f = 0?
-7
Find c, given that 900*c**4 + 1588*c**2 + 1253*c**2 + 2085*c**3 + 588*c + 72 - 1123*c**2 + 125*c**5 = 0.
-3, -2/5
Let c be (-110)/1155 + 4/42. Factor 1/7*x**4 + c + 2/7*x + 5/7*x**2 + 4/7*x**3.
x*(x + 1)**2*(x + 2)/7
Suppose -3*l - 4*y - 41 = 2, l + 26 = y. Let k be 11 - (1 - 2) - (21 + l). Suppose 3/4*u**2 + 6*u + k = 0. Calculate u.
-4
Let j(q) be the first derivative of 10/3*q**3 - 1/2*q**2 - 15 - 2*q. Factor j(n).
(2*n - 1)*(5*n + 2)
Let y(a) be the third derivative of -a**8/23520 + a**7/2205 - a**6/630 - a**4/2 + 3*a**2. Let f(l) be the second derivative of y(l). Factor f(t).
-2*t*(t - 2)**2/7
Solve 0 - 2/17*j**3 + 16/17*j**2 - 14/17*j = 0.
0, 1, 7
Factor -50/13*c**4 + 180/13*c**3 + 2/13*c**5 - 42/13 - 20*c**2 + 170/13*c.
2*(c - 21)*(c - 1)**4/13
Suppose -3/2*c**2 + 3 + 3/2*c = 0. Calculate c.
-1, 2
Suppose 3*j = n + 1, n = -4*j + 6*n - 17. Let v be 4/14 - j/7. Solve -2/5*z**2 + v + 6/5*z = 0 for z.
0, 3
Solve 25*w**3 + 15*w**5 + 260*w + 274*w**2 - 89*w**2 - 200*w**4 + 315*w**2 = 0.
-1, -2/3, 0, 2, 13
Let t(v) = -2*v**3 + 30*v**2 - 28*v. Let g(f) = f**3 - 30*f**2 + 29*f. Let m(j) = 3*g(j) + 4*t(j). Suppose m(n) = 0. Calculate n.
0, 1, 5
Suppose -8*p + 69 = -11. Factor -19*z**2 - 3*z + 8*z**2 + p*z**2 + 4.
-(z - 1)*(z + 4)
Let h(w) be the second derivative of -w**7/189 + 2*w**6/45 - 4*w**5/45 - w**4/9 + w**3/3 + 887*w. Let h(o) = 0. What is o?
-1, 0, 1, 3
Let j = -43960278/16159 - 4900/1469. Let s = -2722 - j. Suppose -10/11*b + s*b**2 + 2/11 - 2/11*b**5 + 10/11*b**4 - 20/11*b**3 = 0. Calculate b.
1
Factor -11*d**5 - 50*d**2 + 51 - 96 + 16*d**5 - 30*d**3 + 15*d**4 + 105*d.
5*(d - 1)**3*(d + 3)**2
Let p = -34 - -40. Suppose 7*f = 6*f + 6. Suppose -p*v + 4*v - v - 3*v**5 + f*v**3 - 1 - 2 - 3*v**4 + 6*v**2 = 0. Calculate v.
-1, 1
Let s be (-2038)/(-6006) + ((-12)/(-22))/(-3). Let d = s - -5/39. Find f, given that d + 6/7*f - 4/7*f**3 + 4/7*f**2 - 2/7*f**5 - 6/7*f**4 = 0.
-1, 1
Let u(j) be the first derivative of 15/2*j**2 - 33 + 0*j + j**5 + 35/3*j**3 + 25/4*j**4. Factor u(a).
5*a*(a + 1)**2*(a + 3)
Let m = -82 - -96. Suppose -21*u + m*u = -14. Let -1/3*n**3 + 1/3*n + 0*n**u + 0 = 0. Calculate n.
-1, 0, 1
Let d be (-2800)/(-6930) - 4/18. Find m such that 0*m - 4/11*m**3 + 0 - 6/11*m**4 + d*m**2 = 0.
-1, 0, 1/3
Let r(c) be the first derivative of 3*c**5/20 - 3*c**4/16 - 3*c**3/2 + 119. Determine s, given that r(s) = 0.
-2, 0, 3
Suppose k = -2*k + 2*k. Solve 0*i**2 + k*i**2 - 4*i**3 + 18*i**4 - 26*i**4 = 0 for i.
-1/2, 0
Let p = 1262/3 + -420. Factor -p*f**3 + 0 + 2/3*f**2 + 2/3*f - 2/3*f**4.
-2*f*(f - 1)*(f + 1)**2/3
Let m(o) be the second derivative of 0 - 1/4*o**5 + 5/6*o**