 2/15*y**6 + 0 + 39*y + 0*y**2 - 3/5*y**5 + 0*y**3 + l*y**4. Factor u(c).
4*c**2*(c - 2)*(c - 1)
Let s(n) = -535*n**3 + 37360*n**2 + 7188480*n + 460062680. Let o(r) = 40*r**3 - 2874*r**2 - 552960*r - 35389437. Let t(d) = -40*o(d) - 3*s(d). Factor t(c).
5*(c + 192)**3
Let v be 20/5 - 4/4. Suppose -382 + 100 = -v*r. Factor -186*g**2 + 10*g + 87*g**2 + 40 + r*g**2.
-5*(g - 4)*(g + 2)
Let r(o) = -3*o**4 + 3*o**3 - 111*o**2 - 251*o - 130. Let l(x) = -5*x**4 + 7*x**3 - 223*x**2 - 501*x - 259. Let u(h) = 4*l(h) - 7*r(h). Factor u(k).
(k - 9)*(k + 1)**2*(k + 14)
Let b(m) be the first derivative of m**4 - 40*m**3/3 - 2*m**2 + 40*m + 4066. Factor b(i).
4*(i - 10)*(i - 1)*(i + 1)
Suppose 0 = 227*i - 231*i - 4. Let r(x) = -x**2 - 12*x - 11. Let w be r(i). Suppose -4/3*p**2 + 4/3 + w*p = 0. Calculate p.
-1, 1
Let r(b) = -2*b + 6. Let y be r(-5). Suppose 0*f = -f - 3, -2*n + 4*f = -y. Let 2*c**2 + 3 + 2*c**2 - c**n - 3*c - 3*c = 0. What is c?
1
Let k(q) be the second derivative of -q**6/195 + 2*q**5/65 + 3*q**4/13 - 36*q**3/13 + 135*q**2/13 - q + 317. Find i such that k(i) = 0.
-5, 3
What is v in 2*v**3 + 77*v + 656*v + 685*v**2 + 896 + 71*v - 775*v**2 = 0?
-1, 14, 32
Let v be 499 - (-2)/(7*2/7). Let c = v - 500. Factor -16/5*z**3 + 0*z + 16/5*z**2 + c + 4/5*z**4.
4*z**2*(z - 2)**2/5
Let i = 87728/7 - 12532. Determine c, given that 0 - i*c**4 + 0*c + 6/7*c**2 + 1/7*c**5 + 1/7*c**3 = 0.
-1, 0, 2, 3
Suppose -42*f + 618 = -12. Let m(h) be the first derivative of 1/3*h + 1/18*h**3 - 1/4*h**2 - f. What is p in m(p) = 0?
1, 2
Suppose -5*g - 39 = 2*j, -j + 265 = -2*g + 244. Factor -58/11*d**4 + 3402/11*d + 2/11*d**5 - 2484/11*d**2 + 596/11*d**j - 1458/11.
2*(d - 9)**3*(d - 1)**2/11
Let p(i) be the second derivative of 0*i**4 + 0*i**6 + 31*i - 1/12*i**5 + 0 + 2/9*i**3 + 0*i**2 + 1/126*i**7. Let p(c) = 0. Calculate c.
-2, -1, 0, 1, 2
Let s(r) = -r**2 + 5*r - 4. Let x(y) = y**2 - 5*y + 4. Suppose 24 = -159*f + 163*f. Let n(v) = f*x(v) + 5*s(v). Determine c, given that n(c) = 0.
1, 4
Let a(g) be the first derivative of g**6/39 - 34*g**5/13 - 261*g**4/26 - 526*g**3/39 - 88*g**2/13 - 1732. Factor a(c).
2*c*(c - 88)*(c + 1)**3/13
Factor -180/11 - 182/11*u - 2/11*u**2.
-2*(u + 1)*(u + 90)/11
Let l(j) be the third derivative of 2/5*j**6 + 42*j**2 - 2/3*j**3 + 0*j - 1/14*j**8 - j**4 + 2/15*j**5 + 0 - 2/105*j**7. Solve l(u) = 0.
-1, -1/6, 1
Let p(g) be the first derivative of 4*g**5/5 + 22*g**4 + 352*g**3/3 + 84*g**2 - 612*g - 522. Find y, given that p(y) = 0.
-17, -3, 1
Let r = -979 - -2086. Suppose 3*i - r = -0*i. Determine t so that -3*t**2 + 183*t + 9 - i*t + 180*t = 0.
-3, 1
Let v(y) be the third derivative of -y**7/105 + 3833*y**6/15 - 14691889*y**5/5 + 56314010537*y**4/3 - 215851602388321*y**3/3 + 7245*y**2. Factor v(x).
-2*(x - 3833)**4
Let w(y) be the third derivative of -y**8/336 - 17*y**7/210 - 1072*y**2. Factor w(g).
-g**4*(g + 17)
Let i(z) be the first derivative of -2*z**3/15 - 62*z**2/5 + 816*z/5 - 1110. Factor i(g).
-2*(g - 6)*(g + 68)/5
Determine k so that -1/2*k**3 + 241/2*k + 81 + 39*k**2 = 0.
-2, -1, 81
Let k be (38 + -38)*2/6. Let a(z) be the second derivative of 0*z**6 + 0*z**3 + 0 + k*z**2 + 1/4*z**5 + 0*z**4 + 3*z - 5/42*z**7. Find i such that a(i) = 0.
-1, 0, 1
Factor -45*j**2 - 5/4*j**3 + 1095/4*j + 1435/2.
-5*(j - 7)*(j + 2)*(j + 41)/4
Let x be 14/(-105) - 42418/(-210). Let n = 202 - x. Factor 1/7 - 1/7*z + n*z**3 - 1/7*z**2.
(z - 1)**2*(z + 1)/7
Let 2/11*d**3 + 1116/11*d**2 + 309136/11 + 156792/11*d = 0. What is d?
-278, -2
Let h be (-1570)/(-168) + (-10)/(-120) - (-7 + 13). Factor -h*b - 12/7*b**2 - 2/7*b**3 - 16/7.
-2*(b + 2)**3/7
Let u(z) = -2*z - 1. Let n be u(-5). Suppose k - 4*f - 6 = 0, 638 - 680 = -4*k - 2*f. Factor 2*m - k*m - n + 6*m**3 + 10*m**2 + 1.
2*(m - 1)*(m + 2)*(3*m + 2)
Suppose -r + 6 = 3*z, 3 = 5*z + 4*r - 7. Let o(f) be the first derivative of -27 + 0*f + 7/22*f**z - 1/33*f**3. Factor o(v).
-v*(v - 7)/11
Let o = 81338 - 1545404/19. Solve o*p - 36/19 - 2/19*p**2 = 0.
3, 6
Suppose k = -23*k - 144. Let h(n) = -9*n**3 - 16*n**2 - 25*n - 13. Let u(v) = -10*v**3 - 16*v**2 - 26*v - 14. Let s(j) = k*h(j) + 5*u(j). Factor s(d).
4*(d + 1)**2*(d + 2)
Let m(f) be the third derivative of f**6/24 - 251*f**5/30 + 3175*f**4/6 - 2500*f**3/3 + 76*f**2 - f - 2. Suppose m(p) = 0. Calculate p.
2/5, 50
Let z(b) = -b**4 + 161*b**3 + 393*b**2 - 1195*b + 682. Let j(y) = -81*y**3 - 198*y**2 + 597*y - 342. Let x(m) = 5*j(m) + 3*z(m). Factor x(i).
-3*(i - 28)*(i - 1)**2*(i + 4)
Find f such that -1003/5*f + 13/5*f**3 - 336/5 - 656/5*f**2 + 2/5*f**4 = 0.
-21, -1, -1/2, 16
Let k(r) be the third derivative of r**7/420 + 3*r**6/40 + 27*r**5/40 - 609*r**2. Factor k(h).
h**2*(h + 9)**2/2
Find r such that 196*r - 1/2*r**4 + 33/2*r**2 + 392 - 4*r**3 = 0.
-7, -4, 7
Let t(v) be the third derivative of v**5/120 - 725*v**4/24 + 525625*v**3/12 - v**2 + 355. Let t(g) = 0. Calculate g.
725
Let f = 5901 - 76707/13. Let l be 1/(1/12*26). Suppose 0 + 2/13*u**4 - 2/13*u + f*u**2 - l*u**3 = 0. What is u?
0, 1
Let n(h) = h**3 + 7*h**2 + 5*h + 2. Let s be n(-4). Suppose -4*m = 22 - s. Solve -z**m + 0*z - 3*z - 25 + 13*z = 0 for z.
5
Let n(s) = 45*s**3 - 142*s**2 - 199*s - 20. Let j(q) = 15*q**3 - 48*q**2 - 66*q - 6. Let a(h) = -8*j(h) + 3*n(h). Suppose a(z) = 0. Calculate z.
-1, -1/5, 4
Let h(a) be the second derivative of 5*a**7/168 - a**6/6 - 15*a**5/4 - 55*a**4/24 + 1175*a**3/24 - 375*a**2/4 - 13*a - 117. Let h(u) = 0. What is u?
-5, -3, 1, 10
Suppose -p + 18 = 8*p. Determine w so that -150 - 61*w - 3*w**p - 36*w + 12*w - 2*w**2 = 0.
-15, -2
Let p(k) be the second derivative of -k**5/120 - k**4/18 - k**3/9 + 664*k. Factor p(i).
-i*(i + 2)**2/6
Let 311*d - 950*d**3 - 305*d**2 - 131*d**2 + 493*d - 362*d**2 + 146*d**3 + 801 - 3*d**4 = 0. What is d?
-267, -1, 1
Let h(t) be the third derivative of -4/3*t**3 + 0*t + 0 - 1/30*t**5 + 1/3*t**4 + 66*t**2. Solve h(j) = 0 for j.
2
Suppose 5*q - 2*f - 4 = 0, -14*q + 16*q - 175 = -57*f. Solve 432 + 3/4*a**q - 36*a = 0.
24
Let w = -89 - -92. Let s(k) = k**3 + 20*k**2 - 20*k + 25. Let h be s(-21). Find x such that 4 + 1 + w - 2*x - 2*x - h*x**2 = 0.
-2, 1
Solve -36/7 - 10/7*i**3 + 12/7*i**2 + 34/7*i = 0 for i.
-9/5, 1, 2
Let g = -84 - -91. Let a be (-8 + g)/(2/(-2)). Let p(v) = -v**3 + v**2. Let w(o) = -5*o**3 - o**2 - 4*o. Let i(h) = a*w(h) - 4*p(h). Factor i(x).
-x*(x + 1)*(x + 4)
Let t(g) be the first derivative of -g**4/20 - 1284*g**3/5 - 2472984*g**2/5 - 2116874304*g/5 - 2173. Determine p, given that t(p) = 0.
-1284
Let m(t) be the third derivative of -t**7/210 - t**6/60 + t**5/20 + t**4/3 + 2*t**3/3 + t**2 + 521*t + 1. Factor m(v).
-(v - 2)*(v + 1)**2*(v + 2)
Let v(w) be the first derivative of w**6/33 + 2*w**5/55 - 3*w**4/22 - 10*w**3/33 - 2*w**2/11 + 179. Determine t so that v(t) = 0.
-1, 0, 2
Factor 8/3 + 0*m**3 - 2*m**2 - 8/9*m + 2/9*m**4.
2*(m - 3)*(m - 1)*(m + 2)**2/9
Let z(n) be the second derivative of n**4/42 - 3*n**3/7 - 16*n**2 - 1714*n. Determine o so that z(o) = 0.
-7, 16
Suppose 2*q + 728 = 5*y, 16*y - q - 148 = 15*y. Suppose -46 - 28*z**4 - 36*z**3 - 23 - 112*z**2 + 11*z**4 + 5 + 13*z**4 - y*z = 0. What is z?
-4, -2, -1
Let u(g) = -14*g**4 + 37*g**3 + 12*g**2 - 10*g. Let j(l) = -1070*l**3 + 10*l**4 + 1034*l**3 - 11*l**2 + 5*l**4 + 10*l. Let r(f) = 5*j(f) + 6*u(f). Factor r(y).
-y*(y - 5)*(3*y - 1)*(3*y + 2)
Let u(p) = -p**2 - 1. Let d(z) = -z**2 + 3*z - 10. Suppose -3*f = -6*f - 4*a - 20, -a - 14 = 3*f. Let q(v) = f*u(v) + d(v). Factor q(r).
3*(r - 1)*(r + 2)
Let n(a) = 38*a**3 + 306*a**2 + 456*a - 108. Let b(r) = 13*r**3 + 102*r**2 + 153*r - 36. Let c(d) = 7*b(d) - 2*n(d). What is f in c(f) = 0?
-4, -3, 1/5
Let q be (-13)/(-7) + 2 - 147/(-1029). Let h(s) be the first derivative of -7/30*s**5 + 1/6*s + 3 + 1/12*s**6 - 5/12*s**2 + 1/12*s**q + 1/3*s**3. Factor h(o).
(o - 1)**3*(o + 1)*(3*o - 1)/6
Let q(k) be the second derivative of -k**6/960 - k**5/160 - k**4/64 - k**3/48 - 14*k**2 - 73*k. Let m(d) be the first derivative of q(d). Factor m(v).
-(v + 1)**3/8
Let x(o) be the third derivative of 0 - 1/180*o**5 + 0*o + 0*o**3 - 37/36*o**4 - 47*o**2. Find c such that x(c) = 0.
-74, 0
Let r be -2 + 3 + -4 - 250/(-50). Factor 1/7*s**r + 1/7*s + 0.
s*(s + 1)/7
Let i = 1332 + -2705. Let s = i + 5493/4. Suppose -3/2 - 1/4*y 