2 - 2*v - 6*v - 4*v + 113*v**2.
-5*v*(47*v + 2)
Let v = 26 + 37. Let s = 74 - v. Let p(t) = 2*t**3 - 6*t**2 - 13*t - 5. Let k(q) = q**3 - 3*q**2 - 7*q - 3. Let x(l) = s*k(l) - 6*p(l). Factor x(u).
-(u - 3)*(u - 1)*(u + 1)
Let q(b) be the second derivative of 1/21*b**4 + 2*b + 11/42*b**3 - 1/140*b**5 - 9 + 3/7*b**2. What is l in q(l) = 0?
-1, 6
Let -16/9*n + 4/9*n**2 - 20/9 = 0. Calculate n.
-1, 5
Let f(m) = -2*m**4 - m**2 + 1. Let c(y) = y**5 + 7*y**4 + y**3 + 8*y**2 - 2*y - 5. Let j be (1 + -2)*2 - -3. Let g(h) = j*c(h) + 5*f(h). Factor g(p).
p*(p - 2)*(p - 1)**2*(p + 1)
Factor 0*h + 0 + 2/3*h**5 + 2/3*h**4 - 32/3*h**3 + 40/3*h**2.
2*h**2*(h - 2)**2*(h + 5)/3
Let f = 20051258/13 - 1542404. Determine k so that -2/13*k**4 + 0 + f*k**3 + 10/13*k + 18/13*k**2 = 0.
-1, 0, 5
Let h(c) be the second derivative of -35*c**4/12 + 13*c**3/2 - 2*c**2 + 765*c. Let h(b) = 0. What is b?
4/35, 1
Let -396/7 + 102/7*t + 16/7*t**2 - 2/7*t**3 = 0. Calculate t.
-6, 3, 11
Suppose -237*k - 33 = -248*k. Suppose 40/7*p**4 - 126*p + 120*p**2 + 0 - 284/7*p**k - 2/7*p**5 = 0. What is p?
0, 3, 7
Suppose y + t = 0, y + 9319*t - 9312*t = 1 - 13. Factor 24*g + 4/3*g**3 + 0 - 12*g**y.
4*g*(g - 6)*(g - 3)/3
Solve 30/17*k + 2/17*k**5 + 0 - 32/17*k**3 + 28/17*k**4 - 28/17*k**2 = 0 for k.
-15, -1, 0, 1
Let c(l) = 2*l**2 + 5. Let h(o) = o**3 + 58*o**2 + 1189*o - 10131. Let z(y) = -36*c(y) - 4*h(y). Factor z(s).
-4*(s - 6)*(s + 41)**2
Let g(p) be the third derivative of p**8/30240 + p**7/1680 + p**6/540 - p**5 - p**3/3 - 178*p**2. Let t(s) be the third derivative of g(s). Factor t(y).
(y + 4)*(2*y + 1)/3
Let k be (0 + 66/10)/(((-219)/(-60))/73*18). Suppose -8/3 + k*x - 1/3*x**4 - 7*x**2 + 8/3*x**3 = 0. What is x?
1, 2, 4
Let g(z) = 5*z**2 + 17*z - 134. Let j be g(-14). Let y be (33/45 - 1)*(-684)/j. Factor -1/10 - 1/5*h**3 - 1/5*h**2 - 1/10*h**5 + y*h**4 + 3/10*h.
-(h - 1)**4*(h + 1)/10
Let l be 1/(310/(-20) + (21 - 5)). What is j in 1/2*j**5 + 0*j - 2*j**l + 0 - 1/2*j**3 + 2*j**4 = 0?
-4, -1, 0, 1
Factor -75*h**5 - 268*h**5 + 31024*h**4 + 29981*h**4 - 1416*h - 52122*h**3 + 14876*h**2.
-h*(h - 177)*(7*h - 2)**3
Let p(n) be the third derivative of -n**6/60 - 16*n**5/5 - 47*n**4/3 + 1599*n**2. What is m in p(m) = 0?
-94, -2, 0
Suppose -4*z = i + 2128 + 36, -8751 = 4*i - 3*z. Let c = i - -2184. Factor 1/3*s**3 + 0 + c*s**2 + 0*s.
s**3/3
Let j(q) be the first derivative of 151 + 4/15*q**3 + 180*q + 12*q**2. Factor j(y).
4*(y + 15)**2/5
Suppose 2*b = -3*b + 30. Let a(w) = 61*w**2 - 51*w - 16. Let f(d) = -62*d**2 + 52*d + 17. Let x(o) = b*f(o) + 7*a(o). Factor x(p).
5*(p - 1)*(11*p + 2)
Let t(p) be the first derivative of -p**5 + 175*p**4/4 + 190*p**3/3 - 180*p**2 - 602. Factor t(z).
-5*z*(z - 36)*(z - 1)*(z + 2)
Let s(u) = u**3 - 2*u**2 + 30*u - 58. Let l be s(2). Factor 8/7*g - 2/7*g**3 - 8/7*g**l + 0 + 2/7*g**4.
2*g*(g - 2)*(g - 1)*(g + 2)/7
Let l(v) be the first derivative of -53 + 15/2*v**4 + 0*v - 9/5*v**5 - 9*v**3 + 3*v**2. Solve l(a) = 0.
0, 1/3, 1, 2
Let f(v) be the third derivative of v**5/7 + 23*v**4/56 + 3*v**3/14 - 4*v**2 - 1119*v. Factor f(k).
3*(k + 1)*(20*k + 3)/7
Suppose -22 + 26 = 2*i. Let h(v) be the first derivative of -1/9*v**i + 7/36*v**4 - 5/27*v**3 + 8 + 0*v. Factor h(r).
r*(r - 1)*(7*r + 2)/9
Let t = 982/95 - 14/19. Let r = t + -36/5. Factor 3/5*q**4 + r*q + 12/5*q**3 + 18/5*q**2 + 3/5.
3*(q + 1)**4/5
Factor 96*j**3 + 856*j - 1250 - 1984*j - 941*j**2 - 111*j**2 - 1272*j - 2*j**4.
-2*(j - 25)**2*(j + 1)**2
Let y(p) be the first derivative of -45 - p - 1/20*p**5 + 0*p**4 + 0*p**2 + 5/12*p**3. Determine v so that y(v) = 0.
-2, -1, 1, 2
Let w = -381 + 383. Suppose 5*p + 10 = -4*s - 0, w*p - 4*s - 24 = 0. Factor -9/4 + 3/2*h - 1/4*h**p.
-(h - 3)**2/4
Let q(b) be the second derivative of -b**4/24 - 517*b**3/12 - 10054*b. Factor q(x).
-x*(x + 517)/2
Let m be 1 - -4 - 6 - -5*1. Let z be (-6)/m - ((-395)/10 + -1). Determine u, given that 6 + 0 - 41*u**2 + z*u**2 - 4*u = 0.
-3, 1
Factor -34/5*z**2 + 142/5*z - 24.
-2*(z - 3)*(17*z - 20)/5
Let u be (23184/(-2254))/(((-528)/28)/6). Factor -162/11*n - 4/11*n**2 + u + 18/11*n**3.
2*(n - 3)*(n + 3)*(9*n - 2)/11
Let b(g) = -g + 28. Let o be b(24). Solve 15*h**4 - 6*h**4 - 9*h**4 + o*h**3 - 2*h**4 = 0.
0, 2
Let y(q) = 8*q**4 + 59*q**3 - 128*q**2 + 68*q + 14. Let k(l) = 3*l**4 + 19*l**3 - 43*l**2 + 23*l + 4. Let c(o) = 7*k(o) - 2*y(o). Factor c(h).
5*h*(h - 1)**2*(h + 5)
Let j(h) be the first derivative of h**8/6720 - h**7/672 + h**6/180 - h**5/120 - 107*h**3/3 + 92. Let s(r) be the third derivative of j(r). Factor s(u).
u*(u - 2)**2*(u - 1)/4
Factor 174/7*d**2 + 753/7*d - 318 + 3/7*d**3.
3*(d - 2)*(d + 7)*(d + 53)/7
Suppose 8/3*m**2 - 112/3*m**4 - 2/3*m**5 + 424/3*m - 106*m**3 + 0 = 0. Calculate m.
-53, -2, 0, 1
Factor 639/2 - 102*k - 3/2*k**2.
-3*(k - 3)*(k + 71)/2
Suppose -k - 24 = 4*q, k + 35 - 9 = -2*q. Let j be ((k - -18) + 11)*8/3. Factor 10/3*c + c**2 + j.
(c + 2)*(3*c + 4)/3
Let s be (-26982)/(-66) + (-12)/(-66). Factor 409 - 5*u**2 - s.
-5*u**2
Let d(f) be the second derivative of -f**5/30 + 7*f**4/3 - 196*f**3/3 + 15*f**2 - 4*f. Let x(r) be the first derivative of d(r). Determine h so that x(h) = 0.
14
Let v be (-6 - -8)*(147 - 146). Factor 4/3*x**3 - 80/3 - 112/3*x - 28/3*x**v.
4*(x - 10)*(x + 1)*(x + 2)/3
Factor -38*d - 44/5*d**2 + 572/5 - 2/5*d**3.
-2*(d - 2)*(d + 11)*(d + 13)/5
Suppose -2085 = 767*m - 1462*m. Factor -184/3*q**2 - 4/3*q**m - 640*q + 1536.
-4*(q - 2)*(q + 24)**2/3
Let d(k) be the first derivative of 3*k**5/5 - 58*k**4 + 530*k**3/3 - 188*k**2 + 75*k - 131. Suppose d(j) = 0. Calculate j.
1/3, 1, 75
Let k = -127166 + 1653202/13. Factor 6/13*d**2 - 70/13*d + k.
2*(d - 11)*(3*d - 2)/13
Determine m, given that 126/13*m + 2/13*m**3 + 38/13*m**2 + 90/13 = 0.
-15, -3, -1
Suppose 142*j**2 + 36*j**4 + 3*j**5 + 73*j + 60*j**3 - 22*j**3 + 74*j**2 + 35*j + 103*j**3 = 0. What is j?
-6, -3, -2, -1, 0
Find p such that -413/6*p + 69 - 1/6*p**2 = 0.
-414, 1
Let y(r) be the second derivative of -3*r**5/100 - 29*r**4/5 - 1682*r**3/5 - 996*r. Solve y(x) = 0 for x.
-58, 0
Suppose -2*d + 10*r = 13*r - 101, 3*d = 5*r + 142. Let y = d - 340/7. Find h such that -2/7*h**2 + 0 + y*h**3 - 1/7*h**4 + 0*h = 0.
0, 1, 2
Suppose 675 = 5*q + 5*t, -5*q = -4*q - 3*t - 155. Let d = q + -94. Determine w, given that -3*w**2 + 3 - d*w + 52*w - 6 = 0.
1
Let h(p) be the second derivative of -61*p**4/9 + 185*p**3/9 - p**2 - p - 1289. Factor h(k).
-2*(2*k - 3)*(61*k - 1)/3
Let n = -887/296 + 134/37. Let u(s) be the second derivative of 25/12*s**3 - n*s**5 + 0 + 5/2*s**2 - 5/12*s**4 - 7*s. Factor u(z).
-5*(z - 1)*(z + 1)*(5*z + 2)/2
Suppose -12*w + 41*w + 87 = 0. Let t be w + -3 + 60/9. Factor t - 1/3*x - 1/3*x**2.
-(x - 1)*(x + 2)/3
Let s(r) be the second derivative of -r**5/90 - 47*r**4/54 + 424*r**3/27 - 880*r**2/9 - 1745*r. Suppose s(v) = 0. Calculate v.
-55, 4
Suppose -2195 = -56*w + 61*w. Let i = 3955/9 + w. Factor 0*s + 0 + 0*s**2 - 4/9*s**3 + i*s**4.
4*s**3*(s - 1)/9
Let d(y) be the third derivative of -1/78*y**5 + 0*y + 1/780*y**6 + 1 - 2/39*y**4 + 4/13*y**3 + 4*y**2. Let d(z) = 0. What is z?
-2, 1, 6
Let o(y) = 3*y**3 - 59*y**2 - 18*y - 35. Let q be o(20). Let 3/5*x**2 + 0 + 1/5*x**q - 1/5*x**3 - 3/5*x**4 + 0*x = 0. Calculate x.
-1, 0, 1, 3
Let p = 25 - 3. Suppose -7*r - p = 4*r. Let l(w) = 3*w + 3. Let x(j) = -j**3 + 2*j + 2. Let i(d) = r*l(d) + 3*x(d). Determine t, given that i(t) = 0.
0
Let n(f) = -486 + 20*f**2 + 486 - 5*f + 10*f**3 - 10*f**4. Let i(h) = 5*h**4 - 5*h**3 - 10*h**2 + 3*h. Let p(c) = 5*i(c) + 3*n(c). Let p(y) = 0. Calculate y.
-1, 0, 2
Suppose 4/7*v**3 + 32/7*v + 20/7*v**2 + 16/7 = 0. What is v?
-2, -1
Let r(q) be the first derivative of q**4/36 + 16*q**3/9 + 128*q**2/3 + 35*q - 58. Let p(y) be the first derivative of r(y). Determine i so that p(i) = 0.
-16
Find c such that 0 - 4*c**2 + 2*c**5 + 0*c + 35/2*c**4 + 23/2*c**3 = 0.
-8, -1, 0, 1/4
Let d(j) = j**3 - j**2 + 4*j - 1. Let c(f) = f**4 + 4*f**3 - 17*f**2 - 76*f + 1. Let m(p) = -3*c(p) - 3*d(p). Solve m(y) = 0.
-6, -3, 0, 4
Let b(u) be the first derivative of 3*u**5/5 + 27*u**4/4 + 7*u**3 - 27*u**2/2 - 24*u + 984. Solve b(q) = 0.
-8, -1, 1
Let o(r) be the first derivative of -r**6/360 - r**5/120 + r**4/12 - r**3/3 - 8*r + 64. Let j(p) be the third derivative of