n, given that w(n) = 0.
-10, -3/55, 0, 1/4
Determine t, given that -1486/3 + 2/3*t**2 + 1484/3*t = 0.
-743, 1
Let n(z) = -20*z**2 - 11344*z + 11324. Let u(l) = 7*l**2 + 3781*l - 3773. Let j(p) = -3*n(p) - 8*u(p). Factor j(k).
4*(k - 1)*(k + 947)
Suppose 0 = -4*g - r + 3 - 1, -g + 7*r = 14. Let z(s) be the second derivative of 0 + 1/16*s**4 + 3/80*s**5 - 1/8*s**3 + 13*s + g*s**2 - 1/40*s**6. Factor z(b).
-3*b*(b - 1)**2*(b + 1)/4
Let i be 224/(-84) + 260/39. Let p(x) be the first derivative of 36 - 2*x**2 - 9/10*x**i + 5*x - 17/5*x**3. Solve p(k) = 0 for k.
-5/3, 1/2
Let j(a) be the first derivative of a**5/3 + 5*a**4/3 + 5*a**3/9 - 5*a**2 + 2823. Determine r, given that j(r) = 0.
-3, -2, 0, 1
Let f(o) = -5*o**2 + 12*o + 4*o**2 - 3 + 2*o**2 - 2*o**2. Let m(h) = 4*h**2 - 47*h + 11. Let r(d) = 22*f(d) + 6*m(d). Suppose r(q) = 0. What is q?
0, 9
Let p(i) = 72333*i + 578667. Let h be p(-8). Solve -648 - 162*l - 3/8*l**h - 27/2*l**2 = 0 for l.
-12
Suppose 0 = z + 11*g - 107, -33*z + 33*z - 36 = -4*g. Factor 0 + 4/3*l**4 + 4/3*l**2 + 16/3*l**3 - z*l.
4*l*(l - 1)*(l + 2)*(l + 3)/3
Suppose 26*j - 20 = 21*j. Factor 4129*d - 4 - 4121*d - 3*d**2 + d**j + 0*d**2 - 2*d**3.
(d - 2)*(d - 1)**2*(d + 2)
Factor 1620 - 5*d**3 - 144*d + 2265*d**2 + 4*d**3 - 4571*d**2 + 2275*d**2.
-(d - 5)*(d + 18)**2
Let k be (-206)/14 + (-70)/245. Let o be 0/(-5*3/k). Factor 2/7*r**3 + 12/7*r**2 + o + 0*r.
2*r**2*(r + 6)/7
Let u(t) be the second derivative of t**7/105 + 13*t**6/25 - 86*t**5/25 - 100*t + 1. Let u(q) = 0. Calculate q.
-43, 0, 4
Suppose 268 = 10*t - 152. Suppose t = d + 40. Factor 6*y + 9 + 14*y**2 + 20*y**2 - 33*y**d.
(y + 3)**2
Let h(n) be the first derivative of 53 - 1/2*n**3 - 1536*n - 48*n**2. Factor h(w).
-3*(w + 32)**2/2
Let h be (85/(-175) + (-88)/(-440))*(-1)/1. Factor -6/7*g**2 + 0 + h*g**4 + 0*g - 4/7*g**3.
2*g**2*(g - 3)*(g + 1)/7
Find w such that -31 + 18*w + 110 + 90 + 109*w**2 - 111*w**2 + 55 = 0.
-7, 16
Let x(m) be the third derivative of -m**6/8 - m**5/3 + 5*m**4/6 - 3*m**2 + 162*m. Determine b so that x(b) = 0.
-2, 0, 2/3
Let d(w) = w**3 - 2*w**2 + 2*w - 1. Let h(q) = 4*q**3 - 23*q**2 - 38*q - 41. Let p(k) = -5*d(k) + h(k). Factor p(c).
-(c + 1)*(c + 6)**2
Factor -52456*t**2 - 21647*t**3 + 23426*t**2 - 26842*t**2 - 28227*t + 576*t**4 - 5419*t**3 - 3*t**5.
-3*t*(t - 97)**2*(t + 1)**2
Let a(y) be the second derivative of -y**6/15 - 693*y**5/5 - 106722*y**4 - 32870376*y**3 + 2044*y. Suppose a(p) = 0. What is p?
-462, 0
Find k such that 4778596/7 - 8744/7*k + 4/7*k**2 = 0.
1093
Let t be ((1 - 0) + -2)*-3. Let s = 27463/296 - 3419/37. What is b in 3/8*b**t + 1/8*b + 1/8*b**4 + s*b**2 + 0 = 0?
-1, 0
Let y(k) = -12*k**2 + 41*k - 73*k - k**3 + 33*k + 3 - 9*k**3. Let r(x) = -10*x**3 - 12*x**2 + 2*x + 4. Let l(f) = 3*r(f) - 4*y(f). Suppose l(s) = 0. What is s?
-1, -1/5, 0
Let q(u) be the first derivative of -u**4/4 + 373*u**3/3 - 186*u**2 - 655. Find j such that q(j) = 0.
0, 1, 372
Let i(x) = -7*x**3 - 65*x**2 + 619*x - 1587. Let l(c) = 2*c**3 + 22*c**2 - 206*c + 530. Let z(n) = 3*i(n) + 10*l(n). Determine k, given that z(k) = 0.
7, 11
Solve -4/3*a**4 - 2/9*a**5 + 2*a + 4/3*a**2 + 0 - 16/9*a**3 = 0.
-3, -1, 0, 1
Let f(m) be the second derivative of m**7/21 + 6*m**6/5 - 51*m**5/2 + 350*m**4/3 - 5602*m - 1. Factor f(o).
2*o**2*(o - 5)**2*(o + 28)
Factor -8/5 + 8/5*r - 2/5*r**2.
-2*(r - 2)**2/5
Let a(h) = 11*h**3 - 230*h**2 + 6735*h - 6471. Let i(k) = -10*k**3 + 230*k**2 - 6734*k + 6474. Let o(t) = -8*a(t) - 9*i(t). Factor o(f).
2*(f - 57)**2*(f - 1)
Let s = -3452179/4 - -863047. Find v, given that 9/8*v**4 + 177/8*v**3 + 111/8*v**2 + 0 + s*v - 27/8*v**5 = 0.
-2, -1/3, 0, 3
Let j(q) = q**2 - 3*q - 103. Let k be j(-9). Let t be (-21)/(-12) - k/4. Solve t*a - a**2 + 0 = 0 for a.
0, 1/2
Suppose 0 = 2*d + 2. Let u(p) = -4*p**3 - 5*p**2 + p + 1. Let o(j) = -j + 11 - 3*j - 7 - 5 + j**2 + 3*j. Let r(a) = d*u(a) - o(a). Factor r(b).
4*b**2*(b + 1)
Factor 1314/7*i**2 + 191844/7*i + 3/7*i**3 + 9336408/7.
3*(i + 146)**3/7
Let d(w) be the third derivative of -w**5/330 - 5*w**4/132 + 2*w**3/11 + 797*w**2. Factor d(m).
-2*(m - 1)*(m + 6)/11
Let j = -1525/22 + 768/11. Let a(h) be the first derivative of 0*h + j*h**3 + 3/10*h**5 - 8 - 3/4*h**4 + 0*h**2. Factor a(k).
3*k**2*(k - 1)**2/2
Let i(n) be the third derivative of -n**5/30 + 2233*n**4/6 - 4986289*n**3/3 - 4609*n**2. Find a such that i(a) = 0.
2233
Let a(f) = 30*f - 116. Let r(k) = 93*k - 347. Let h(y) = 7*a(y) - 2*r(y). Let p be h(5). Factor 1/5*q**p - 8/5*q + 16/5.
(q - 4)**2/5
Let f = 93 - 80. Suppose -f*s = -9*s - 196. Find l, given that -68*l**4 - 20*l**5 + s*l + 16 + 24*l**2 - l + 28*l**2 - 44*l**3 + 16*l = 0.
-2, -1, -2/5, 1
Suppose -4*o + 415 = 3*m, 8*m - 4*o = 6*m + 250. Let j be (171/m)/((-6)/21*-2). What is z in 3/4*z**2 + j - 3*z = 0?
1, 3
Let c(z) be the third derivative of -z**5/150 - 2*z**4/15 + 11*z**3/5 + 1131*z**2. Factor c(v).
-2*(v - 3)*(v + 11)/5
Suppose v = 5*n + 12, -2*v - v - n + 52 = 0. Suppose v - 5 = 2*s. Find q, given that s*q - 10*q**2 - 30*q + 14*q**2 = 0.
0, 6
Suppose -21 + 9 = -2*d. Suppose -d*z + z = -2*w - 72, 2*w - 40 = -2*z. Suppose -7*c**3 + 16*c - 4*c**3 + z - c**3 + 8*c**2 - 28*c**2 = 0. Calculate c.
-2, -2/3, 1
Let z(k) be the first derivative of -16/21*k**3 + 1/14*k**4 - 36/7*k + 3*k**2 + 6. What is q in z(q) = 0?
2, 3
Let p be 3523*18/936 - 67. Solve p*d**5 - 51/4*d**3 - 27*d**2 - 15*d + 0 + 0*d**4 = 0 for d.
-2, -1, 0, 5
Let i = 24306271/17 - 1429779. Let -i*y + 2/17*y**2 - 30/17 = 0. Calculate y.
-1, 15
Let w = -427 - -422. Let n(h) = 7*h**3 - 3*h**2 - 13*h - 13. Let f(c) = -6*c**3 + 2*c**2 + 12*c + 12. Let v(t) = w*f(t) - 4*n(t). Factor v(u).
2*(u - 2)*(u + 1)*(u + 2)
Suppose 1188 - 3/4*w**4 + 144*w + 24*w**3 - 174*w**2 = 0. What is w?
-2, 6, 22
Let l(c) be the third derivative of 2*c**7/525 + 116*c**6/15 + 1159*c**5/75 + 3332*c**2. Factor l(f).
4*f**2*(f + 1)*(f + 1159)/5
Let z be (-17714)/27 + ((-424)/108 - -4). Let d = z + 658. Find u such that 1/4*u**3 + 0 - u**d + 1/4*u**4 - u = 0.
-2, -1, 0, 2
Let m = 69 + -85. Let y = m + 20. Factor -18*k - k**4 + 8*k**4 + 20*k**3 - 2*k**5 - k**y + 19 - 29 + 4*k**2.
-2*(k - 5)*(k - 1)*(k + 1)**3
Let r be (1 - 171/(-54))*9/6. Let k(o) be the second derivative of -6*o**2 - 10*o**3 - r*o**4 + 0 - 15*o. Factor k(i).
-3*(5*i + 2)**2
Let q be (1/3)/((-3)/(-54)). Suppose -3*d - q = -6*d. Let 13 + 3*x**3 + x**2 + 4*x**2 - 13 + d*x = 0. What is x?
-1, -2/3, 0
Let i(q) be the second derivative of q**5/40 + 9*q**4/2 - 3270*q. Factor i(v).
v**2*(v + 108)/2
Let y(a) be the first derivative of 2*a**3/33 - 118*a**2/11 + 1962*a/11 + 1913. Determine m, given that y(m) = 0.
9, 109
Let g(h) = 3*h**2 - 18*h - 169. Let t(s) be the first derivative of -s**3/3 - s**2 - 54. Let z(r) = g(r) + 4*t(r). Find v, given that z(v) = 0.
-13
Let c be 18/22 + 4/22. Suppose 0 = 6*p - c - 17. Suppose 51 - 51 + 12*g - p*g**3 = 0. Calculate g.
-2, 0, 2
Let l(d) = -3*d - 140. Let t be l(15). Let a = 189 + t. Factor 1/2*w**3 + 1/6*w**5 - 1/2*w**a - 1/6*w**2 + 0 + 0*w.
w**2*(w - 1)**3/6
Let m(a) be the first derivative of 47 - 1/5*a**5 + 0*a - 2*a**4 + 19/3*a**3 - 5*a**2. Factor m(j).
-j*(j - 1)**2*(j + 10)
Determine b so that 95/2*b - 1275/2 + 13/6*b**2 - 1/6*b**3 = 0.
-17, 15
Let p = -3045 + 12223/4. Let h(l) be the first derivative of p*l**4 - 1 - 3*l - 24/5*l**5 + 17/2*l**2 + 8/9*l**6 - 115/9*l**3. Factor h(u).
(u - 1)**3*(4*u - 3)**2/3
Let b(g) be the second derivative of 3*g**5/40 + 19*g**4/8 - 105*g**3/4 - 7425*g**2/4 - 36*g + 16. Determine h, given that b(h) = 0.
-15, 11
Let l(x) be the first derivative of -27/8*x**2 + 3/16*x**4 - 27/4*x + 49 + 1/4*x**3. Factor l(i).
3*(i - 3)*(i + 1)*(i + 3)/4
Let c(w) be the second derivative of w**6/240 + w**5/30 - 23*w**2/2 - 50*w. Let m(p) be the first derivative of c(p). Solve m(u) = 0.
-4, 0
Let q(r) be the second derivative of r**8/6720 - r**7/168 + 71*r**4/12 + 12*r - 2. Let b(a) be the third derivative of q(a). Suppose b(x) = 0. Calculate x.
0, 15
Suppose -2 + 14 = 6*h, 2*z - 40 = 3*h. Let f(t) be the second derivative of -1/28*t**4 + 0 + 3/7*t**3 - z*t + 3/2*t**2. Let f(q) = 0. Calculate q.
-1, 7
Suppose 4*n - 741 = 3*g - 2*g, 3*n - 527 = -5*g. Determine m, given that 4*m**2 + n - 52 - 206*m + 152*m + 110*m = 0.
-11, -3
