+ 1)*(p + 4)
Let -59166*i**2 + 1680 - 45*i + 59161*i**2 - 35*i = 0. What is i?
-28, 12
Let j(n) = -7*n**2 - 6181*n - 12186. Let o(y) = 60*y**2 + 55605*y + 109675. Let p(g) = 35*j(g) + 4*o(g). Factor p(u).
-5*(u - 1219)*(u + 2)
Let x(h) be the third derivative of -1/105*h**7 - 7/6*h**4 + 0 + 1/10*h**5 + 1/15*h**6 + 151*h**2 + 8/3*h**3 + 0*h. Factor x(p).
-2*(p - 4)*(p - 1)**2*(p + 2)
Let v(h) be the first derivative of h**4/8 + 7*h**3/2 - 35*h**2/2 + 24*h + 1333. Suppose v(q) = 0. Calculate q.
-24, 1, 2
Let -79*l + 20*l**2 - 53*l + 2408*l**3 - 49 - 2401*l**3 - l**4 - 95 = 0. Calculate l.
-4, -1, 6
Let d(b) = 38*b**2 + 360*b + 3254. Let i be 12/(-2*(0 - -1)). Let l(g) = 8*g**2 + 72*g + 651. Let j(v) = i*d(v) + 28*l(v). Solve j(q) = 0 for q.
-18
Let m(j) = 2*j**2 + 5*j - 13. Let w(i) = -2*i**2 - 4*i + 14. Let q be (-4)/12 - (8/(-6) + 2). Let r be (-5 + 16/2)*q. Let v(h) = r*w(h) - 4*m(h). Factor v(f).
-2*(f - 1)*(f + 5)
Let m = 509/4 - 863/4. Let f = m - -1257/14. Factor 3/7*l**2 - f + 6/7*l.
3*(l - 1)*(l + 3)/7
Let b be (4 + 4154/(-1085))*14. Factor -2/5*u**3 + 12/5 + 2/5*u - b*u**2.
-2*(u - 1)*(u + 1)*(u + 6)/5
Let k(j) be the first derivative of j**6/1620 - 7*j**5/60 - 16*j**4/27 - 257*j**3/3 - 127. Let a(m) be the third derivative of k(m). What is h in a(h) = 0?
-1, 64
Let z be (126/(-2079))/(3/(-11)). Let a(h) be the third derivative of 2/45*h**5 + 5/36*h**4 - 22*h**2 + 0 + z*h**3 + 1/180*h**6 + 0*h. Factor a(x).
2*(x + 1)**2*(x + 2)/3
Let b be (-8)/68 + (-2610)/(-510). Let s(l) be the second derivative of 0*l**2 + 0 + 14*l + 1/21*l**4 - 1/21*l**3 - 1/70*l**b. Factor s(u).
-2*u*(u - 1)**2/7
Let 265*i**2 - 976 + 32*i**3 + 78*i**3 + 256 - 5*i**4 - 570*i = 0. Calculate i.
-3, -1, 2, 24
Let d(a) be the first derivative of a**6/90 - a**4/18 + a**2/6 + 55*a - 84. Let k(q) be the first derivative of d(q). Factor k(u).
(u - 1)**2*(u + 1)**2/3
Let w(g) be the second derivative of -5*g**7/126 - 2*g**6/9 - g**5/12 + 35*g**4/18 + 50*g**3/9 + 20*g**2/3 - 3*g + 13. Solve w(s) = 0 for s.
-2, -1, 2
Suppose -34909*r**2 - 952*r**3 + 33209*r**2 - 6*r**5 + 292*r**4 - 242*r - 208*r = 0. What is r?
-1, -1/3, 0, 5, 45
Let n = -4702/15 - -2374/5. Solve 88/3*u + n + 4/3*u**2 = 0 for u.
-11
Suppose -2*t - 1461 = -3*s - 1456, -4*t = s - 11. Let p(b) be the second derivative of -31*b + 5/2*b**s - 10*b**2 + 0 + 5/12*b**4. What is q in p(q) = 0?
-4, 1
Let n(m) = 13*m**4 + 13*m**3 - 114*m**2 + 143*m - 64. Let u(b) = -23*b**4 - 27*b**3 + 226*b**2 - 289*b + 128. Let y(c) = 5*n(c) + 3*u(c). Factor y(j).
-4*(j - 2)*(j - 1)**2*(j + 8)
Let z(n) be the third derivative of 1/33*n**4 + 0*n + 0 + 86*n**2 - 4/11*n**3 + 1/330*n**5. Factor z(h).
2*(h - 2)*(h + 6)/11
Let m = -33717/20 - -1686. Let b(s) be the second derivative of 0 - 8/5*s**2 - 1/100*s**5 - 11*s - 4/5*s**3 - m*s**4. Let b(i) = 0. What is i?
-4, -1
Let m(t) be the third derivative of 47*t + 7/240*t**6 + 0*t**3 + 0*t**4 - 2*t**2 + 0 + 1/10*t**5 + 1/840*t**7. Factor m(n).
n**2*(n + 2)*(n + 12)/4
Let g = -64 + 69. Suppose -g*r - r + 72 = 0. Determine i, given that 81*i - r*i**2 - 9*i - 12*i**2 + 2*i**3 = 0.
0, 6
Suppose -10*y + 13*y = -3, -3*k + 5*y + 11 = 0. Let j be 16/15 + 5 + 1 + 580/(-87). What is w in 12/5 - j*w - 2/5*w**k = 0?
-3, 2
Let o be 5596/(-6995) - ((-26)/120 - 1). Let g(p) be the first derivative of -23/10*p**5 - 2*p**2 - 28 + o*p**6 - 2/3*p**3 + 15/4*p**4 + 0*p. Solve g(l) = 0.
-2/5, 0, 1, 2
Let n(r) be the second derivative of -5*r**4/12 - 235*r**3/6 + 245*r**2 - r + 298. Factor n(d).
-5*(d - 2)*(d + 49)
Let 698*g + 196*g**2 + 82*g - 255*g**3 + 214*g**2 + 25*g**5 - 44*g**4 - 529 + 169 - 16*g**4 = 0. What is g?
-2, 2/5, 3
Let r(k) = -k + 7. Let q be r(5). Factor d**5 + d**3 - 8 - 2*d**4 + 1110*d**q - 2*d**4 - 4*d - 1100*d**2.
(d - 2)**3*(d + 1)**2
Let f = -162269 + 162269. Factor f + 2/7*p**2 + 0*p.
2*p**2/7
Let j be ((-10)/35)/(5/(-70)). Suppose n = 5*v + 4, 5*n + 0*n + j*v = 20. Determine q so that 16/7*q**3 + 0 + 0*q + 16/7*q**2 + 4/7*q**n = 0.
-2, 0
Let f be 16/(-12)*(-1782)/176 - 9. Let t(g) be the third derivative of -f*g**4 - 1 - 14/15*g**5 + 4/3*g**3 + 3*g**2 + 0*g. Factor t(a).
-4*(a + 2)*(14*a - 1)
Let l(s) be the second derivative of s**7/504 - s**6/72 + 11*s**4/3 + 60*s. Let i(h) be the third derivative of l(h). Factor i(a).
5*a*(a - 2)
Let w be 1*7 - (3 + -45 + 49). Let n(m) be the second derivative of 26*m + 0 + 0*m**2 + 1/30*m**6 + 0*m**3 + w*m**5 - 1/3*m**4. Let n(f) = 0. Calculate f.
-2, 0, 2
Let c(g) be the third derivative of 23/140*g**5 + 1/28*g**6 + 1/4*g**4 + 0 + 0*g + 0*g**3 - 126*g**2 + 1/490*g**7. Factor c(y).
3*y*(y + 1)*(y + 2)*(y + 7)/7
Let r(x) be the first derivative of -12/7*x + 9/7*x**2 - 46 - 2/7*x**3. Factor r(g).
-6*(g - 2)*(g - 1)/7
Let i(q) be the third derivative of q**6/40 + 115*q**5/2 + 330625*q**4/8 - 2509*q**2. Factor i(y).
3*y*(y + 575)**2
Let b(a) be the first derivative of a**6/9 + 4*a**5/15 - 8*a**4 + 28*a**3 - 27*a**2 - 1772. Suppose b(n) = 0. What is n?
-9, 0, 1, 3
Suppose -5540 = -5*l - 5*f, -2*f = -3*l + 2342 + 962. Let m = l + -4389/4. Solve -6 - m*c - 3/4*c**2 = 0.
-8, -1
Let v(z) = 24*z + 192. Let y be v(-7). Let w be 378/y*10/7. Find k, given that -39/2*k**2 - w*k**3 - 27/8*k**4 - 24 + 60*k = 0.
-4, 2/3
Let o(l) be the third derivative of -5*l**8/336 - 4*l**7/21 - 5*l**6/24 + 7*l**5/6 - 4*l**2 - 210*l - 5. Find y, given that o(y) = 0.
-7, -2, 0, 1
Suppose -15*c + 18 + 57 = 0. Factor -3*r**2 - r**3 + 4*r**4 - r**4 - 7*r**5 - 2*r**c + 10*r**5.
r**2*(r - 1)*(r + 1)*(r + 3)
Let l be 19/5 + (-3 - 96/(-30)). Suppose 2*q = -l*k + 10 - 2, -2*q = 8. Factor 3/5*f**5 + 18/5*f**k + 48/5*f + 3/5*f**3 - 72/5*f**2 + 0.
3*f*(f - 1)**2*(f + 4)**2/5
Let z(m) = -81*m**2 + 2371*m - 1423249. Let d(b) = 97*b**2 - 2368*b + 1423249. Let j(c) = 5*d(c) + 6*z(c). Factor j(g).
-(g - 1193)**2
Factor -59*c**2 + 4/3*c**4 + 93*c + 27 + 13/3*c**3.
(c - 3)**2*(c + 9)*(4*c + 1)/3
Suppose -8*g = 185 - 225. Let t be (g/(-20) - 70/(-8)) + -4. Determine n so that -15/2*n + 3/2*n**5 - 9/4 - t*n**2 + 27/4*n**4 + 6*n**3 = 0.
-3, -1, -1/2, 1
Suppose -38 + 158 = 2*a. Let g = a + -57. Factor 2*x**2 - g*x**3 + 3*x**2 + 2*x**5 - x**2 + x**3 - 4*x**4.
2*x**2*(x - 2)*(x - 1)*(x + 1)
Let p(f) = -79 + 43 + 74*f - 1 - 119 + 9*f**2. Let u(h) = -h**2 - h - 1. Let i(c) = -p(c) - 4*u(c). Factor i(q).
-5*(q - 2)*(q + 16)
Let p be (-46)/(-115) + 20766/110. Let v = -189 + p. What is d in v*d**3 + 0 - 4/11*d**2 + 2/11*d = 0?
0, 1
Let j = 124655/686026 - -7/62366. Find z such that 14/11*z**3 - 14/11*z + 2/11*z**4 - j*z**2 + 0 = 0.
-7, -1, 0, 1
Let k = -30 - -43. Let z = k - 11. Factor 3*v**3 + 3*v**4 + 2*v**2 + 5*v**2 - v**z - 6*v**4.
-3*v**2*(v - 2)*(v + 1)
Let g(i) be the third derivative of i**5/30 - i**4/3 + 53*i**2 - 5. Suppose g(f) = 0. What is f?
0, 4
Let x = 818721277/975210 - -5/195042. Let r = x - 839. Let -r + 16/15*c + 2/3*c**2 = 0. What is c?
-2, 2/5
Factor 6*m**2 + 381/2 + 1527/2*m.
3*(m + 127)*(4*m + 1)/2
Factor 31684/9 - 712/9*x + 4/9*x**2.
4*(x - 89)**2/9
Determine q so that 30/7*q**2 - 60/7 + 38/7*q - 6/7*q**3 - 2/7*q**4 = 0.
-5, -2, 1, 3
Let u(h) be the second derivative of h**7/28 + h**6/5 - 3*h**5/40 - 2*h**4 - 3*h**3 - 1491*h. Solve u(i) = 0.
-3, -2, -1, 0, 2
Let p(d) = 5*d**2 - 21*d + 35. Let f be p(8). Let i be (-102)/f*(2 - (-19)/(-4)). Suppose 0 - b**2 + 0*b - i*b**3 - 1/2*b**4 = 0. Calculate b.
-2, -1, 0
Determine p so that 914*p**2 + 512 + 1216*p + 1/2*p**5 + 457/2*p**3 + 19*p**4 = 0.
-16, -4, -1
Let s(f) be the first derivative of 5*f**3/3 + 2245*f**2/2 - 9060*f - 4030. Factor s(j).
5*(j - 4)*(j + 453)
Let w(o) = -o**3 + 2*o - 1. Let y(f) = f**2 + f - 14. Let x be y(3). Let m(q) = 20*q**3 - 24*q**2 + 4*q + 2. Let h(u) = x*m(u) - 4*w(u). What is s in h(s) = 0?
0, 2/3
Let x(f) be the second derivative of f**7/483 - 4*f**6/345 - 3*f**5/46 + 3*f**4/23 - f + 427. Find l, given that x(l) = 0.
-3, 0, 1, 6
Suppose 20*m - 23 = 77. Factor -4635*o + 2*o**m + 6*o**4 + 4635*o + 4*o**3.
2*o**3*(o + 1)*(o + 2)
Let v(y) be the third derivative of -y**6/2340 + 2*y**5/195 + 11*y**4/52 - 179*y**3/6 + 245*y**2. Let c(z) be the first derivative of v(z). Factor c(t).
-2*(t - 11)*(t + 3)/13
Let j(l) = l**3 + 21*l**2 - 47*l - 20. Let d be j(-23). Suppose -18*r**d - 398*r + 3*r**3 - 50*r**2 + 40 + 378*r 