47*v**2 + 397*v - 80. Let p(h) = j(h) + 5*o(h). Let p(s) = 0. What is s?
-35, -13, 1
Let u = 448 - 443. Suppose -51 = -5*k + 139. Factor u*j**3 + k*j**5 + 38*j**5 - 81*j**5.
-5*j**3*(j - 1)*(j + 1)
Let h(d) = 22*d**2 + 13*d - 25. Let k be h(2). Factor 319 - k + 2*o**2 - 72 - 86 - 24*o.
2*(o - 6)**2
Let k(y) be the second derivative of y**5/60 + y**4/3 - 10*y**3/3 - 73*y**2/2 + 89*y. Let p(i) be the first derivative of k(i). Factor p(u).
(u - 2)*(u + 10)
Let m(d) be the third derivative of -d**7/280 - d**6/5 - 33*d**5/8 - 121*d**4/4 - 49*d**3/3 + 85*d**2. Let k(y) be the first derivative of m(y). Factor k(r).
-3*(r + 2)*(r + 11)**2
Suppose -8 = 2*d + 4*x, 3*d + 22*x - 25*x = 24. Suppose d*i - 2 = -10, 4*i + 18 = 5*k. Determine l, given that 0 - 8/9*l - 2/9*l**k = 0.
-4, 0
Let g(s) = s**2 - 1. Suppose 11 - 55 = -22*u. Let m(v) = -v**2 - 6*v + 7. Let z(c) = u*m(c) + 6*g(c). Suppose z(b) = 0. What is b?
1, 2
Let j be 3 - (1/(3/6))/(88/(-132)). Let w(t) be the third derivative of 0*t**4 + 0*t**3 + 0*t + 1/60*t**j - 1/30*t**5 + t**2 + 0. Determine i so that w(i) = 0.
0, 1
Let i be (438/30 - 14) + ((-928)/(-20) - -7). Factor i + 8/3*l**2 + 24*l.
2*(2*l + 9)**2/3
Suppose -3156*t + 7 = 2*r - 3153*t, 4*r + 2*t = 18. Let i(g) be the first derivative of -37 + 0*g + 5/4*g**4 - r*g**2 - 5/3*g**3. Suppose i(h) = 0. Calculate h.
-1, 0, 2
Let q be 88/110 + (-35486)/(-30). Let g = 1184 - q. Factor 0 + l**2 + 0*l - g*l**3.
-l**2*(l - 3)/3
Let y(x) = x**3 - 3*x**2 - 22*x - 6. Let g(a) = -48*a**2 + 44*a**2 + 3*a**2 + 1. Let f(k) = -6*g(k) - y(k). What is m in f(m) = 0?
-2, 0, 11
Let k(s) = -s**3 - 2*s**2 - s - 9. Let x be k(-3). Suppose 4*r - 2*r**3 + x + 0*r**3 - 5*r**2 - 2 - 5 - r**4 + 8*r**2 = 0. Calculate r.
-2, 1
Let f(t) be the third derivative of -1/160*t**6 + 0 - 1/16*t**5 - 3/16*t**4 - 85*t**2 - 3*t + 0*t**3. Suppose f(x) = 0. Calculate x.
-3, -2, 0
Let q(m) be the third derivative of m**5/15 + 53*m**4/6 - 572*m**3 - 3*m**2 + 13*m + 97. Find w, given that q(w) = 0.
-66, 13
Let y(z) = z - 1. Let r be y(9). Suppose d + r = 3*j - 1, d - 3 = -j. Factor -j*g - g - g**2 + 7*g.
-g*(g - 3)
Let p(z) = 28158*z**2 + 10 - 28189*z**2 - 4 + 18 - 5*z + 4*z**3 - 6*z. Let d be p(8). Determine n so that d + 3/8*n - 3/8*n**4 - 9/8*n**2 + 9/8*n**3 = 0.
0, 1
Let j(p) be the third derivative of 0*p + 0*p**3 + 2/7*p**8 + 1/20*p**5 + 0*p**4 - 3/20*p**6 + 12 + 4*p**2 + 0*p**7. Factor j(u).
3*u**2*(2*u + 1)*(4*u - 1)**2
Let k(n) = -n**3 + 8*n**2 - 8*n + 4. Let x be k(7). Let f be ((-6)/(-4))/(-1)*10/x. Factor z**2 + 10*z**2 - 10*z**3 + 5 - 15*z + f*z**3 + 4*z**2.
-5*(z - 1)**3
Let c(n) be the third derivative of n**6/480 + 27*n**5/40 - 41*n**4/12 - 1878*n**2 + 2*n. Solve c(i) = 0.
-164, 0, 2
Solve -335*d**3 + 296*d + 235*d**2 - 110478*d**4 + 34*d + 5*d**5 - 280 + 110523*d**4 = 0 for d.
-14, -1, 1, 4
Let x(r) be the first derivative of 13*r**4/8 + 43*r**3/6 - 29*r**2/2 - 44*r + 4815. Factor x(j).
(j + 1)*(j + 4)*(13*j - 22)/2
Suppose a + 4*h - 54 = -a, -5*a = 2*h - 127. Suppose -3*v + 0*v = b + 5, 4*b - a = 3*v. Let -2719 + 2719 - 5*d**b = 0. What is d?
0
Let a be 9/36*6 + 3/(-3). Let n(o) be the second derivative of 1/60*o**6 - a*o**2 - 13*o - 1/8*o**4 + 5/12*o**3 + 0 - 1/40*o**5. Factor n(j).
(j - 1)**3*(j + 2)/2
Let x(u) be the second derivative of -37/15*u**3 + 19/5*u**2 + 1/50*u**5 + 17/30*u**4 + 2*u + 5. Let x(c) = 0. What is c?
-19, 1
Let y(c) be the first derivative of 3/13*c**4 + 18/13*c - 21/13*c**2 + 20/39*c**3 + 171 - 6/65*c**5 - 1/39*c**6. Determine n so that y(n) = 0.
-3, 1
Let d be 10*598/780 - (11 - 14). Find r such that 52/3*r - d - 2*r**2 = 0.
2/3, 8
Let t be 102/36 + (-20)/(-12) - 327/(-218). Determine m, given that -45*m - t*m**3 - 69/2*m**2 + 27/2 = 0.
-3, 1/4
Let o(i) be the second derivative of -i**6/80 - 1473*i**5/32 - 188191*i**4/4 + 94249*i**3 - 73*i - 58. Factor o(c).
-3*c*(c - 1)*(c + 1228)**2/8
Let b(p) be the second derivative of -p**5/4 - 1315*p**4/6 - 2*p + 1336. Suppose b(x) = 0. What is x?
-526, 0
Let u be (-36)/270 - (-9)/(7560/188032). Factor -114/7*q**2 + 1682/7 + 2/7*q**3 + u*q.
2*(q - 29)**2*(q + 1)/7
Let q(w) be the third derivative of 0*w - 73*w**2 - 7/30*w**6 + 0*w**3 - w**4 + 0 + 5/6*w**5 + 1/105*w**7. Factor q(i).
2*i*(i - 12)*(i - 1)**2
Factor 1747*t + 5997*t - 29926 + 4927834 + 2598284 + 2*t**2.
2*(t + 1936)**2
Factor -5*m**3 + 780 - 8996*m - 100*m**2 + 205*m**2 + 9616*m.
-5*(m - 26)*(m + 2)*(m + 3)
Suppose 0 = 4*c - 8*c + 20. Suppose 2*p - c = -d, p = 2*p + 3*d. Factor -7*a**2 - a + 3*a**2 + 6 + 2*a**2 - p*a.
-2*(a - 1)*(a + 3)
Let r = 30336/19 + -1596. Let k = r + -128/323. Factor k*o + 0 - 2/17*o**2.
-2*o*(o - 2)/17
Suppose -22*o = -298*o + 828. Factor -7/2*a - 2 - a**2 + 1/2*a**o.
(a - 4)*(a + 1)**2/2
Let q be ((-215)/16125)/(2*2/12)*-15. Let c(r) be the first derivative of 27/20*r**4 - 7/5*r**3 - q*r**2 + 5 + 0*r. Factor c(a).
3*a*(a - 1)*(9*a + 2)/5
Let s(b) be the second derivative of -3*b**5/100 + 37*b**4/4 + b**3/10 - 111*b**2/2 + 1749*b. Factor s(n).
-3*(n - 185)*(n - 1)*(n + 1)/5
Let m(x) be the first derivative of -5/3*x**3 - 35/2*x**2 - 50*x + 25. What is i in m(i) = 0?
-5, -2
Let q = 335 - 323. Factor 50 - 16*h + 5*h**2 + 4*h - 11*h - q*h.
5*(h - 5)*(h - 2)
Let w(t) = t**3 - 2*t**2 - t + 1. Let f(g) = g + 26. Let m be f(-28). Let q(z) = -24*z**3 - 38*z**2 - 858*z - 822. Let a(o) = m*q(o) - 44*w(o). Factor a(n).
4*(n + 1)*(n + 20)**2
Let n(v) = 3*v + 4 - 15*v**2 + 17*v**2 - 2*v + v**3. Let m be n(-2). Factor -7 - t**m + 4 + 2*t + 3.
-t*(t - 2)
Suppose -3*x - 5*p + 94 = 0, 785*x - 787*x - 5*p = -91. Factor 2*o - 4/7 - 2*o**x + 4/7*o**2.
-2*(o - 1)*(o + 1)*(7*o - 2)/7
Factor 140/17 + 138/17*b - 2/17*b**2.
-2*(b - 70)*(b + 1)/17
Let n = -407265 + 1629061/4. Factor n*b**2 + 2401/4 + 49/2*b.
(b + 49)**2/4
Suppose 0 = 2*p - 0*p + 5*p. Suppose 3*f + q - 13 = p, 5*q - 2*q = 4*f - 26. Find x, given that 4/15*x**2 + 6/5*x**f + 2/15 - 28/15*x**3 - 2/5*x**4 + 2/3*x = 0.
-1, -1/3, 1
Let p(u) be the first derivative of 15*u**5 + 3*u + 285/4*u**4 + 321/4*u**3 - 57/2*u**2 - 147. Factor p(m).
3*(m + 2)**2*(10*m - 1)**2/4
Let d(q) be the first derivative of 3*q**4/20 - 9*q**3/5 - 51*q**2/5 - 72*q/5 + 3338. Factor d(m).
3*(m - 12)*(m + 1)*(m + 2)/5
Factor -232562/9 + 1364/9*w - 2/9*w**2.
-2*(w - 341)**2/9
Let f(s) be the third derivative of s**5/15 - 85*s**4/18 - 100*s**3/3 - s**2 - 167. Suppose f(g) = 0. Calculate g.
-5/3, 30
Factor -1020*n**2 - 1013*n**2 - 25*n**4 - 5*n**5 - 1016*n**2 + 3049*n**2 + 250*n**3.
-5*n**3*(n - 5)*(n + 10)
Let c(f) be the third derivative of f**5/270 + 371*f**4/54 + 137641*f**3/27 + 11*f**2 + 216*f. Factor c(q).
2*(q + 371)**2/9
Let o = -2 + -13. Let i be (-909)/o - 3/5. Factor i*p**4 + 3 + 54*p**4 - 6*p**2 - 111*p**4.
3*(p - 1)**2*(p + 1)**2
Factor 126*l + 2/5*l**3 + 0 - 104/5*l**2.
2*l*(l - 45)*(l - 7)/5
Suppose 14*w - 1758 + 1702 = 0. Determine y, given that -24/5*y + 16/5 + 4/5*y**2 + 6/5*y**3 - 2/5*y**w = 0.
-2, 1, 2
Solve -96*h - 5*h**2 - 40*h - 24*h = 0.
-32, 0
Let j(a) = -5*a + 0*a - 8*a - 25 + 14*a. Let i be j(28). Determine k, given that -i + 21/2*k - 27/2*k**2 - 3/2*k**4 + 15/2*k**3 = 0.
1, 2
Let f(d) = 11*d - 193. Let h be f(18). Let i be 2/h + (-1320)/6050. Determine p, given that 2/11*p**2 + i + 4/11*p = 0.
-1
Let m be 4*13/(-26) - (1 - 8). Let v(q) be the third derivative of 5*q**2 + 0*q**m + 1/420*q**6 + 0*q**3 + 0 - 1/84*q**4 + 0*q. Factor v(t).
2*t*(t - 1)*(t + 1)/7
Determine p, given that 48*p**2 - 198*p + 1/2*p**3 + 200 = 0.
-100, 2
Let j be (2/(-6))/((-7 + 2)/45). Suppose 0 = 4*q + j*u - 20, 2*q + u + 5 = 3*q. What is i in -216*i**5 + q*i**4 - 4*i**4 - 21*i**4 + 20*i**3 + 221*i**5 = 0?
0, 2
Suppose -3*z = -55 + 49. Let k(x) = x - 10. Let b be k(12). Solve -z*n**b - 24*n - 16 - 10*n**2 - 2*n**3 + 0*n = 0.
-2
Let q(y) be the second derivative of -9/10*y**5 - 2*y**3 + 0*y**2 + 1 + 1/10*y**6 + 88*y + 9/4*y**4. Let q(c) = 0. What is c?
0, 1, 4
Suppose w + 7*c - 14 - 29 = 0, 26 = 2*w - c. Let k(o) be the first derivative of -4/9*o**2 + 0*o + 10/27*o**3 + w - 1/18*o**4. Factor k(n).
-2*n*(n - 4)*(n - 1)/9
Let q = -360816 + 360818. Suppose 384 + 3/2*k**q - 48*k = 0. Calculate k.
16
Let n(b) be the first derivative of b**5/20 - 3*b**4/32 - b**3/8 - 131*b**2/2 - 2*b - 82. Let p(i) be the second der