+ 4*i**2 - 14*i - 14. Let r(d) = 2*c(d) - 18*q(d). Factor r(s).
2*(s - 1)*(s + 2)*(15*s - 2)
Let g = 4/22459 + 224578/67377. Let -40/3 - 5/3*m**3 + 25/3*m**2 - g*m = 0. Calculate m.
-1, 2, 4
Let u(t) be the second derivative of -3*t**6/10 - 48*t**5/5 - 117*t**4/2 - 112*t**3 - 153*t**2/2 + 1867*t. Suppose u(v) = 0. What is v?
-17, -3, -1, -1/3
Let r be (3*3/(-9))/((-1)/5). Let w(b) = 2*b**2 - 8*b - 4. Let h be w(r). Factor 8*q**3 - h*q**3 - 3*q**3 - 5*q**2 + 6*q.
-q*(q - 1)*(q + 6)
Determine c, given that -1/2*c**5 - 132*c - 27/2*c**4 - 40 - 155/2*c**3 - 313/2*c**2 = 0.
-20, -4, -1
Let r be (105/(-6)*124/(-465))/7. Suppose r*g**4 + 16/9*g + 0 - 22/9*g**3 - 4/3*g**2 = 0. Calculate g.
-1, 0, 2/3, 4
Let q = -140 + 142. Factor 28*f + 143 + q*f**2 - 143.
2*f*(f + 14)
Determine j so that -84455/2*j - 241935/2 - 1285/2*j**2 - 5/2*j**3 = 0.
-127, -3
Let c(h) = -3*h**3 - 218*h**2 - 2194*h + 7. Let o(j) = j**3 + 70*j**2 + 731*j - 2. Let z(q) = 6*c(q) + 21*o(q). Find d, given that z(d) = 0.
-27, 0
Let x be (-21)/90*(6/(-21) - 0). Let j(y) be the second derivative of 0 - x*y**2 + 1/90*y**4 - 2/75*y**5 + 4/45*y**3 - 9*y. What is c in j(c) = 0?
-1, 1/4, 1
Suppose 0 = -4*s + 4*l + 72, 5*l - l + 80 = -l. Solve -2*c**s + 2 - 2/3*c + 2/3*c**3 = 0 for c.
-1, 1, 3
Let p(r) be the second derivative of -r**7/5040 - r**6/180 + 143*r**4/6 + 2*r - 75. Let k(f) be the third derivative of p(f). Determine g so that k(g) = 0.
-8, 0
Let a be (-2*52/(-312))/(-2*2/(-60)). Suppose -1/6*y**4 + 1/3*y**3 - 5/2*y**a + 0*y + 0*y**2 + 0 = 0. What is y?
-2/5, 0, 1/3
Let m(s) be the first derivative of -4*s**5/5 - 6*s**4 - 4*s**3 + 20*s**2 - 5528. Suppose m(g) = 0. What is g?
-5, -2, 0, 1
Let z = 141 + -139. Let 2*i**4 - 10*i**3 - 3*i**4 + 3*i**4 - 7*i**z + 13*i**2 + 18*i = 0. Calculate i.
-1, 0, 3
Let t be 1 - 4/(2 - 6). Solve -28 + t*r - 3 + 2*r**2 + 19 = 0 for r.
-3, 2
Let l(g) be the first derivative of -3*g**4/14 + 1024*g**3/21 + 171*g**2/7 - 9848. Solve l(r) = 0.
-1/3, 0, 171
Let l(n) = n**4 + n**2 - n - 2. Let p(u) = 12*u**5 - 16*u**4 - 344*u**3 - 44*u**2 + 2444*u + 1560. Let k(m) = -12*l(m) - p(m). Let k(o) = 0. What is o?
-4, -3, -2/3, 4
Let m(u) be the third derivative of u**6/80 + 2043*u**5/20 + 1391283*u**4/4 + 631642482*u**3 + 3711*u**2. Factor m(l).
3*(l + 1362)**3/2
Let a(y) be the third derivative of y**7/42 + 13*y**6/24 + 11*y**5/4 + 155*y**4/24 + 25*y**3/3 - 155*y**2. Suppose a(f) = 0. Calculate f.
-10, -1
Let s = 4649/525 + -482/75. Let 12/7*r**2 - 3/7*r**4 - s*r**3 + 4/7*r**5 + 0 + 4/7*r = 0. What is r?
-2, -1/4, 0, 1, 2
Let x(i) = i**2 - 4*i - 60. Let h be x(10). Suppose -14 = -4*y - 2*v, h = -7*y + 6*y - 2*v + 5. Determine s, given that 3/2*s - 3/2*s**2 + y = 0.
-1, 2
Determine k, given that 19597/2*k**3 + 20445/2*k**2 + 0 - 281/2*k**4 + 1/2*k**5 - 19881*k = 0.
-2, 0, 1, 141
Let b(c) = -9*c**2 + 158*c + 21. Let y(w) = 19*w**2 - 315*w - 41. Let s(p) = 10*b(p) + 4*y(p). Factor s(v).
-2*(v - 23)*(7*v + 1)
Let v(k) be the first derivative of -k**4/48 - k**3/8 - 61*k + 82. Let u(l) be the first derivative of v(l). Factor u(f).
-f*(f + 3)/4
Let k(r) be the first derivative of 0*r - 9/2*r**5 + 215 - 35/6*r**3 - 5/12*r**6 - 75/8*r**4 + 0*r**2. Solve k(h) = 0.
-7, -1, 0
Let p(f) = -2*f + 1370 - 683 - 681. Let n be p(3). Factor n*i + 16/5*i**4 + 0 + 1/5*i**2 - 8/5*i**3.
i**2*(4*i - 1)**2/5
Let x(d) be the third derivative of -d**6/180 - 41*d**5/90 + 50*d**4/3 - 212*d**3 + 3*d**2 - 2365*d. Factor x(t).
-2*(t - 6)**2*(t + 53)/3
Suppose -1 = 55*s - 111. Let x(g) be the second derivative of 0*g**2 - 3/140*g**5 + 0 + s*g - 3/14*g**3 + 1/7*g**4. Factor x(h).
-3*h*(h - 3)*(h - 1)/7
Let 24*c**2 - 367 + 1422 - 20*c**2 - 1680*c + 279 + 342 = 0. What is c?
1, 419
Let g(v) = v**2 + 2*v. Let m be 8/2 - (4 + 2). Let k be g(m). What is l in -2 + k*l**2 + 2*l**2 - 5 + 8*l - 3 = 0?
-5, 1
Let c(l) = 8*l**3 - 48*l**2 - 54*l + 103. Let u = -325 - -321. Let b(k) = -9*k**3 + 49*k**2 + 52*k - 104. Let g(r) = u*c(r) - 3*b(r). Factor g(y).
-5*(y - 10)*(y - 1)*(y + 2)
Let x be (4 + 0 - (0 - -3)) + 15. Suppose t - x = -3*t. What is o in 4*o**3 - 16*o**2 + 5*o**4 + 0*o**t - 4 - o**4 + 14*o - 2*o**5 = 0?
-2, 1
Let s(l) = 8*l**2 + 92*l + 12. Let h(c) = -15*c**2 - 171*c - 24. Let w(b) = 6*h(b) + 11*s(b). Determine m, given that w(m) = 0.
-6, -1
Suppose t + 106*q - 103*q = -17, -q = 3*t - 5. Let -156/11*m**2 + 32/11*m**3 + 224/11*m - 98/11 - 2/11*m**t = 0. Calculate m.
1, 7
Let i(d) = -7*d - 19. Let s be i(-12). Suppose -8*v = -3*v - s. Factor -34*r + v + 13 - r + 5*r**3 + 4.
5*(r - 2)*(r - 1)*(r + 3)
Let j be (3 - (-417)/429) + ((-49230)/585 - -84). Factor 8/11*g + 2/11*g**2 - j.
2*(g - 3)*(g + 7)/11
Let g(u) be the first derivative of -u**8/378 - u**7/315 + u**6/540 + 97*u**2/2 + 87. Let x(j) be the second derivative of g(j). Determine m so that x(m) = 0.
-1, 0, 1/4
Let g(o) be the second derivative of 4 - 23/3*o**4 + 4/5*o**5 + 10*o**3 + 16*o + 0*o**2. Factor g(z).
4*z*(z - 5)*(4*z - 3)
Let c(t) be the second derivative of -t**4/42 - 151*t**3/21 + 152*t**2/7 + 1270*t. Factor c(h).
-2*(h - 1)*(h + 152)/7
Suppose -12*o + 668 = 188. Factor -o*n - 65*n**2 - 900 + 64*n**2 - 20*n.
-(n + 30)**2
Let x = 133 + -81. Suppose x + 53 = 5*t. Let -46*k**2 - t*k**3 - 10*k - 44*k**2 - 14*k = 0. What is k?
-4, -2/7, 0
Factor 267289/2 - 517*v + 1/2*v**2.
(v - 517)**2/2
Let j be (21/49)/((-3)/(-4)). Suppose 3*h - 1086*l + 36 = -1083*l, h + 5*l - 60 = 0. Determine c, given that -j*c**2 + h - 2/7*c**3 - 2/7*c = 0.
-1, 0
Let i(b) be the second derivative of -21 + 2*b + 0*b**4 - 5*b**2 - 1/4*b**5 + 5/2*b**3. Factor i(p).
-5*(p - 1)**2*(p + 2)
Let d(g) be the first derivative of 5 + 8*g**2 - 11/27*g**4 - 1/45*g**5 - 16/9*g**3 + 3*g. Let f(s) be the first derivative of d(s). Factor f(r).
-4*(r - 1)*(r + 6)**2/9
Let d(w) = w**2 + 26*w - 1350. Let f be d(-52). Suppose 0*l = 4*l - 12. Factor -9*r**3 + l*r**4 - 5*r**4 + 3*r**2 + 6*r + 3*r**3 - r**f.
-2*r*(r - 1)*(r + 1)*(r + 3)
Let u = 1497592/35 - 299314/7. Solve -56/5*d - 74/5*d**4 - 8/5 - 134/5*d**2 - u*d**3 - 14/5*d**5 = 0 for d.
-2, -1, -2/7
Let r(c) be the third derivative of 289/210*c**7 - 12*c**3 + 0*c + 2 - 31/2*c**4 + 54*c**2 - 169/30*c**5 + 493/120*c**6. Factor r(w).
(w - 1)*(w + 2)*(17*w + 6)**2
Let r(m) be the first derivative of 2/3*m**3 + 1/24*m**6 + 0*m**2 - 1/4*m**4 - 1/10*m**5 + 0*m - 16. Determine j, given that r(j) = 0.
-2, 0, 2
Let k(z) = z**3 + z**2 + z - 1. Suppose -30 = 25*m - 55. Let p(a) = 44*a**3 + 36*a**2 + 16*a - 24. Let r(c) = m*p(c) - 24*k(c). Factor r(u).
4*u*(u + 1)*(5*u - 2)
Let g(x) = x**3 + 19*x**2 + 3*x + 1. Let p be g(-9). Factor 47*b**3 - 672*b - p - 51*b**3 + 6*b**2 + 102*b**2.
-4*(b - 14)**2*(b + 1)
Let x(y) be the second derivative of y**4/12 - 31*y**3/6 - 111*y**2 + 19*y + 43. Factor x(z).
(z - 37)*(z + 6)
Suppose 5*b - 5*r = 0, 5*r - 7*r = 3*b - 25. Let c(d) = 2*d**2 - 48*d + 49. Let a(i) = i**2 + 2*i. Let w(n) = b*a(n) - 5*c(n). Factor w(t).
-5*(t - 49)*(t - 1)
Let c(k) be the first derivative of 2*k**3/15 - 114*k**2/5 + 448*k/5 - 7679. Factor c(s).
2*(s - 112)*(s - 2)/5
Let x(r) be the first derivative of r**3/18 + 3*r**2 + 2787. Suppose x(y) = 0. What is y?
-36, 0
Let f = -270810 - -270816. Find u, given that 0 + 7/2*u**2 - f*u - 1/2*u**3 = 0.
0, 3, 4
Let h = -15685 + 15687. Determine g so that -3/2 + 2*g - 1/2*g**h = 0.
1, 3
Factor -1/9*k**3 - 13/9*k**2 - 32/9 - 44/9*k.
-(k + 1)*(k + 4)*(k + 8)/9
Let q be 2*(5/100)/((-20)/(-41400)*36). Factor -q + 47/4*f - 1/4*f**5 - 23/2*f**3 + 25/4*f**4 - 1/2*f**2.
-(f - 23)*(f - 1)**3*(f + 1)/4
Suppose 0*b = -b + 3*g + 11, 2*b - 3*g = 13. Suppose 0 = -b*v + 4 - 0. Factor 6 - 3 - v*n**3 + 6*n + 1.
-2*(n - 2)*(n + 1)**2
Let o(h) = -63*h + 191. Let t be o(3). Factor -98*l**5 - t*l - 1729*l**3 + 862*l**3 + 823*l**3 + 24*l**2 - 168*l**4.
-2*l*(l + 1)**2*(7*l - 1)**2
Let p be 0*1/(-2) - -2. Suppose 1305826*g - 1305808*g - 324 = 0. Determine i so that 0 - g*i**p + 2*i - 81/2*i**5 + 77/2*i**3 + 18*i**4 = 0.
-1, 0, 2/9, 1
Suppose -3*y + 5*v = -152, 8*y - 5*v = 11*y - 142. Factor 97*o**5 - o**4 - 46*o**5 - y*o**5 - o**4.
2*o**4*(o - 1)
Let r(v) be the third derivative of 1/240*v**5 + 1/96*v**4 - 1/840*v**7 + 41*v**2 - 1 + 0*v - 1/480*v**6 + 0*v**3. Factor r(u).
-u*(u - 1)*(u + 1)**2/4
Let j(l) be the f