2 + 20*v + 7 + 5.
4*(v + 2)*(v + 3)
Factor -15707 + 15*w - w**2 + 5*w + 15623.
-(w - 14)*(w - 6)
Let m(a) = -9*a - 86. Let w be m(-10). Solve -42 + 23 - 2*h**2 + h**w + 20 = 0 for h.
-1, 1
Let x be (4/(-16)*2)/((-3)/24). Factor 4*k**3 - k**2 - 2*k**3 - 2*k**2 - 9*k**x + 3*k**5 + 9*k**3 - 2*k**3.
3*k**2*(k - 1)**3
Suppose 4 = 4*i + 5*x + 11, 0 = i + x + 1. Let -14*c**4 - 4*c**5 + 20*c**4 - 13*c**2 + 6*c**3 + 9*c**i = 0. What is c?
-1, 0, 1/2, 2
Let c(p) be the second derivative of -3*p**5/5 + 5*p**4/4 + 33*p**3 + 135*p**2/2 + 5543*p. Suppose c(q) = 0. What is q?
-3, -3/4, 5
Let k(l) be the first derivative of l**6/6 - 123*l**5/5 - 158*l**4 - 340*l**3 - 256*l**2 + 985. Factor k(g).
g*(g - 128)*(g + 1)*(g + 2)**2
Determine w so that -903*w**4 - 16581/4*w**3 - 4944*w**2 - 228 - 147/4*w**5 - 1893*w = 0.
-19, -4, -1, -2/7
Suppose 11*q = 6*q. Suppose 6*x - 4*x + 3*g - 21 = q, 5*x + 5*g = 40. Factor -8/5*v + 2*v**2 - 4/5*v**x + 2/5.
-2*(v - 1)**2*(2*v - 1)/5
Suppose -45621 = -42*s + 5*s. Let q = s - 16021/13. Determine b, given that q*b + 8/13 + 2/13*b**2 = 0.
-2
Let w(z) be the first derivative of -z**6/3 - 4*z**5 + 253*z**4/2 - 2092*z**3/3 + 348*z**2 + 3312*z - 5745. Solve w(a) = 0.
-23, -1, 2, 6
Let q = 576 + -573. Let g be -14 - -13 - (q + 22/(-5)). Determine s, given that 4/5*s**4 - 4/5*s**2 + 0 + g*s**5 - 2/5*s + 0*s**3 = 0.
-1, 0, 1
Factor 11*j - 9*j - 277820*j**3 + 277817*j**3 + j**5 - j**4 + j**2.
j*(j - 2)*(j - 1)*(j + 1)**2
Let g(f) be the second derivative of f**4/4 - 21*f**3/2 - 33*f**2 - 1065*f. Find j, given that g(j) = 0.
-1, 22
Let d(n) = -n**2 + 45*n - 124. Let l be d(42). Determine z so that -4*z**2 - 23*z + 12*z - l*z**3 + 9*z = 0.
-1, 0
Let p be 10/4*(-1584)/495. Let z be 664/(-68) + 3 - (1 + p). Determine o so that 0*o - 18/17*o**3 + 0 - z*o**2 = 0.
-2/9, 0
Let c = 4752 - 4749. Let g(l) be the second derivative of 4/9*l**2 - 7*l + 0 - 1/90*l**5 - 1/54*l**4 + 4/27*l**c. Factor g(h).
-2*(h - 2)*(h + 1)*(h + 2)/9
Let j(o) = -2*o**2 - 251*o + 20. Let b(t) = -2*t**2 - 252*t + 16. Let f(x) = 5*b(x) - 4*j(x). Solve f(z) = 0.
-128, 0
Determine r, given that -2944/9 + 58/9*r**3 - 200/3*r**2 + 2272/9*r - 1/9*r**4 = 0.
4, 46
Let i(p) = -2*p**2 - 288*p + 4. Let d(k) = 3*k**2 + 287*k - 5. Let s(w) = 4*d(w) + 5*i(w). Solve s(x) = 0 for x.
0, 146
Let d be (1/2)/((-4)/(-16)). Solve 72*a**2 - 68*a - 12*a**d + 60*a**3 + 24 - 72*a**3 - 4*a**4 = 0 for a.
-6, 1
Let x(z) be the first derivative of 3*z**4/28 + 5*z**3/7 + 3*z**2/7 - 24*z/7 - 10501. Factor x(q).
3*(q - 1)*(q + 2)*(q + 4)/7
Let t(i) be the second derivative of 3*i**7/14 - 169*i**6/10 - 2547*i**5/20 - 319*i**4/4 + 423*i**3 + 732*i**2 + 959*i. What is f in t(f) = 0?
-4, -1, -2/3, 1, 61
Factor 0 - 4/3*q**3 + 176/3*q - 350/3*q**2.
-2*q*(q + 88)*(2*q - 1)/3
Let i(h) be the third derivative of 2/105*h**5 - 18*h**2 - 1/210*h**6 + 0*h**3 + 0 + 1/2205*h**7 - 2/63*h**4 - h. Find x such that i(x) = 0.
0, 2
Let v = 6303337/21 + -300089. Let z = 70 - v. Factor 0 - z*u**2 - 2/21*u.
-2*u*(u + 1)/21
Let i be ((3/72)/((-3)/(-102)))/((67 + -122)/(-440)). Factor 1/6*q**2 - i + 16/3*q.
(q - 2)*(q + 34)/6
Let m(n) be the third derivative of n**8/40320 + n**7/2016 - 7*n**6/720 - 29*n**5/12 + 39*n**2. Let f(g) be the third derivative of m(g). Solve f(w) = 0 for w.
-7, 2
Let a(u) = -u**2 + 8*u + 22. Let z be a(10). Suppose -9*n + 14 = -z*n. Determine v, given that 1 - 2 - 4*v + n*v**2 + 5 - 2 = 0.
1
Let 0 - 1800/13*i - 2/13*i**3 + 120/13*i**2 = 0. Calculate i.
0, 30
Let a(l) be the second derivative of l**6/135 - 4*l**5/9 + 493*l**4/54 - 578*l**3/9 - 2025*l - 2. Factor a(f).
2*f*(f - 17)**2*(f - 6)/9
Let g(k) be the second derivative of -k**4/30 - 26*k**3/5 + 83*k**2 + 1497*k. Determine m, given that g(m) = 0.
-83, 5
Let h(j) = 5*j + 27. Let i be h(-5). Factor 5*l**2 + 5*l + 2*l**i + 28*l**3 - 3*l**2 + 5*l**4 + 11*l**2 - 13*l**3.
5*l*(l + 1)**3
Let p(f) be the first derivative of -32/25*f**5 + 2*f**2 - 22/5*f**3 - 2/5*f - 142 + 4*f**4. Suppose p(g) = 0. Calculate g.
1/4, 1
Let h = -228638 + 457411/2. Let 0*b**2 - 6*b + 111/2*b**3 - h*b**5 + 0 - 18*b**4 = 0. Calculate b.
-1, -1/3, 0, 2/5, 2/3
Let l(d) = d - 4*d**2 - 240 - 93*d - 39*d. Let v(a) = -a. Let h be v(-11). Let q(s) = s**2 + 26*s + 48. Let y(c) = h*q(c) + 2*l(c). Find u, given that y(u) = 0.
-4
Let p(s) be the first derivative of 42*s**5/55 - 214*s**4/11 + 512*s**3/3 - 5712*s**2/11 - 3744*s/11 + 984. Solve p(h) = 0.
-2/7, 6, 26/3
Let s(u) be the second derivative of -3*u**6/25 - 3*u**5/10 + 11*u**4/10 - 3*u**3/5 + 191*u - 4. Solve s(t) = 0 for t.
-3, 0, 1/3, 1
Let l(n) be the second derivative of 1/30*n**5 + 2*n**3 + 0 - 7/12*n**4 - 6*n**2 - 18*n. Let f(k) be the first derivative of l(k). Factor f(a).
2*(a - 6)*(a - 1)
Let w(f) = f**3 + f**2 + f + 1. Let t(k) = 4*k**3 - k**2 - 2*k + 3. Suppose 8 - 14 = 2*n. Let c(u) = n*w(u) + t(u). Determine s, given that c(s) = 0.
-1, 0, 5
Factor -5*h**2 + 24487*h + 448 - 24537*h + 3*h**2.
-2*(h - 7)*(h + 32)
Factor -115176/19*c**2 + 472384/19*c - 476288/19 - 968/19*c**3 - 2/19*c**4.
-2*(c - 2)**2*(c + 244)**2/19
Find k, given that -6*k + 61/3*k**2 - 61/3*k**4 + 0 - 7/3*k**5 + 25/3*k**3 = 0.
-9, -1, 0, 2/7, 1
Let l(p) be the first derivative of 12*p**3 - 53 + 3*p**4 + 1/5*p**5 + 0*p + 16*p**2. Factor l(i).
i*(i + 2)**2*(i + 8)
Let h(s) be the first derivative of 1/18*s**3 + 43/6*s**2 + 1849/6*s - 136. Factor h(b).
(b + 43)**2/6
Let b(d) = d**2 - 29*d - 82. Let l(h) = 2*h**2 - 59*h - 160. Let w(q) = -15*b(q) + 6*l(q). Factor w(a).
-3*(a - 30)*(a + 3)
Let k(r) = -49*r + 154. Let c be k(6). Let p = -138 - c. Let -5/3*n + 2/3 + n**p = 0. What is n?
2/3, 1
Let k(v) = v**2 + v. Let i(l) = 4*l**4 + 4*l**3 + 8*l**2 + 8*l. Let w = -168 + 176. Let c(q) = w*k(q) - i(q). Determine s, given that c(s) = 0.
-1, 0
Let n = 66 - 114. Let s be 8/28 + n/(-28). Factor -3*p**s - 3928*p + 3 + 3928*p.
-3*(p - 1)*(p + 1)
Let k be 1/((-1)/4)*(-1)/1. Suppose -5*c = -3*c + 5*h + 10, k*c = -2*h + 12. Factor 0 - 2/3*t**4 + 2/3*t**2 + 0*t - 1/3*t**3 + 1/3*t**c.
t**2*(t - 2)*(t - 1)*(t + 1)/3
Let u be ((-48)/608*19)/(6/(-5)) - 14/(-8). Let -8/3*v**u + 0*v + 2/3*v**5 + 32/3*v**2 - 8/3*v**4 + 0 = 0. What is v?
-2, 0, 2, 4
Let c(p) be the first derivative of -40*p**2 - 320*p - 55/4*p**4 + 60*p**3 + p**5 - 229. Factor c(z).
5*(z - 4)**3*(z + 1)
Factor -2/5*j**3 - 4*j**2 - 16/5*j + 2/5*j**4 + 0.
2*j*(j - 4)*(j + 1)*(j + 2)/5
Let b(v) be the first derivative of 5*v**4/4 + 85*v**3/3 - 50*v**2 - 180*v - 871. Determine n so that b(n) = 0.
-18, -1, 2
Let u(n) = -n**3 + 7*n**2 - n - 2. Let r be u(1). Factor 45 + 3 + r*z**2 + 14*z + 10*z.
3*(z + 4)**2
Suppose -128*o = -66729 + 66345. Let -12/5*b**2 + 2/5*b**o + 24/5*b - 16/5 = 0. Calculate b.
2
Determine l so that 8160*l - 527*l**3 - 143*l**2 - 5*l**5 + 6*l**2 + 67*l**2 + 25*l**4 - 368*l**3 + 105*l**4 + 7200 = 0.
-2, -1, 5, 12
Let r(i) be the second derivative of -i**6/225 - 29*i**5/150 + 283*i**4/90 - 95*i**3/9 + 74*i**2/5 - 21*i - 126. Let r(z) = 0. Calculate z.
-37, 1, 6
Let q(x) be the first derivative of 1/30*x**5 + 1/6*x**4 + 0*x - 1/2*x**2 + 5/21*x**3 - 1/210*x**6 + 10. Let m(a) be the second derivative of q(a). Factor m(k).
-2*(k - 5)*(k + 1)*(2*k + 1)/7
Let i(s) = s**2 + 19*s + 93. Let q be i(-12). Let r be (q/54)/(3/(-90)*-2). Let 0 + 2*l**2 + r*l**3 + 0*l + 1/2*l**4 = 0. What is l?
-4, -1, 0
Let c(d) be the first derivative of -6*d**6/7 + 2096*d**5/35 - 1133*d**4/7 + 2920*d**3/21 - 32*d**2 - 1036. Suppose c(v) = 0. Calculate v.
0, 2/9, 1, 56
Factor -541*m + 283*m**2 + 295*m**2 - 575*m**2 + 795 - 257*m.
3*(m - 265)*(m - 1)
Let l(s) be the first derivative of 14*s**3/57 - 6*s**2/19 - 2*s/19 + 3513. Factor l(c).
2*(c - 1)*(7*c + 1)/19
Let h(i) = -i**4 + 2*i**2 + i - 1. Let f(v) = -8*v**4 + 39*v**3 - v**2 - 78*v - 31. Let b(m) = -f(m) + h(m). Solve b(g) = 0 for g.
-1, -3/7, 2, 5
Factor -12640*f**3 + 4870485*f**2 + 10107915*f**2 - 5*f**4 + 10*f**4 - f**4 - 397972623887 + 1955975863887 - 7888624000*f.
4*(f - 790)**4
Let z(v) be the third derivative of -v**8/8400 - v**7/6300 + v**6/900 + v**5/300 + v**4/2 - 147*v**2. Let p(a) be the second derivative of z(a). Factor p(c).
-2*(c - 1)*(c + 1)*(2*c + 1)/5
Suppose 2*q - 33 + 13 = 0. Suppose -2*p = 3*s - q, -8*p = 2*s - s - 18. Factor -9 - 1/4*j**s - 3*j.
-(