0.
1, 5
Suppose -4*m + 12 = 0, -993 = 2*r - m + 106. Let s = r - -2197/4. Solve 1/4*p**3 + 3/4 + 1/4*p**2 - s*p = 0.
-3, 1
Solve -1/2*u**2 + 2083*u - 4338889/2 = 0.
2083
Suppose -2*v - 42 = 4*u, 7 = v - 2*u - 20. Solve 0*t**2 + 1/4*t**4 + 0 + 1/4*t**v + 0*t = 0.
-1, 0
Let g = 296503/33886 - 1/67772. Determine z so that -5/4*z + g*z**5 + 13*z**2 - 23/2*z**4 - 15/2*z**3 - 3/2 = 0.
-1, -2/7, 3/5, 1
Let z = -187 - -189. Suppose -5*p**4 + 5*p**5 - 22*p**2 + 14*p**2 - 5*p**3 + 0*p**3 + 13*p**z = 0. What is p?
-1, 0, 1
Suppose -2368*l = -2338*l - 630. Let n(h) be the second derivative of -1/14*h**4 - 2/3*h**3 - 8/7*h**2 + 0 + l*h. Factor n(c).
-2*(c + 4)*(3*c + 2)/7
Let g(r) = 70*r + 5. Let d(s) = -33*s - 3. Let x(a) = -5*d(a) - 2*g(a). Let m(b) = -b**2 + 27*b + 4. Let u(p) = 5*m(p) - 6*x(p). What is v in u(v) = 0?
-2, -1
Let x be 8 - 120/16 - 374/(-4). Suppose -4*p + 106 - x = 2*i, 5*i - 10 = 0. Factor 0*g**p + 0*g - 3/4*g**3 - 3/8*g**4 + 3/8*g**5 + 0.
3*g**3*(g - 2)*(g + 1)/8
Let r(w) be the first derivative of w**6/660 + 21*w**5/110 - 3*w**2/2 + 2*w + 223. Let n(l) be the second derivative of r(l). Factor n(m).
2*m**2*(m + 63)/11
Suppose 0*w**5 - 13*w**5 + 282*w**4 - 9798*w**3 + 12*w**5 - w**5 - 10082*w**2 = 0. What is w?
-1, 0, 71
Let j(b) be the second derivative of -b**4/12 - 25*b**3/6 + 1001*b. Factor j(f).
-f*(f + 25)
What is t in -2/5*t**2 + 0 + 152*t = 0?
0, 380
Suppose -6*n = -9 - 9. Factor -9*o**3 + 11*o**n + o**2 + 0*o + 2*o - 5*o**2.
2*o*(o - 1)**2
Solve 206*u**2 - 50*u**2 - 51*u**2 + 712336 - 46*u**2 + 3376*u - 55*u**2 = 0 for u.
-422
Let z be 1/(-4) - 1218/(-840). Suppose 8*i - i = 21. Find v such that -z*v**2 + 0 + 3/5*v + 3/5*v**i = 0.
0, 1
Let w = -456 - -458. Determine t, given that 15*t + 76*t**2 - 35 - 15 - 71*t**w = 0.
-5, 2
Let q = 5 + -9. Let z(a) = 0*a**2 + a + 0*a + 0*a - a**2. Let b(y) = 10*y**2 - 9*y - 1. Let u(j) = q*b(j) - 44*z(j). Solve u(n) = 0 for n.
1
Let q = 39067/4719 - -86/1573. Factor 0 - q*t**2 - 1/3*t**4 - 10/3*t**3 + 0*t.
-t**2*(t + 5)**2/3
Suppose -95/6*j + 0 - 1/6*j**2 = 0. What is j?
-95, 0
Let f = 6 + 2. Suppose -7*h + 3*h + f = 0. Factor -17*o**3 + 20*o - 8 + 5*o**3 + 115*o**h - 99*o**2.
-4*(o - 2)*(o + 1)*(3*o - 1)
Let b(x) = -x**2 + 47*x + 185. Let i be b(49). Suppose i - 59 = 7*n. Determine d so that -2/13*d + 0 + 2/13*d**5 + 0*d**3 - 4/13*d**2 + 4/13*d**n = 0.
-1, 0, 1
Let m be (-6 - (-34)/6)*-39. Factor 5 - 116*f + m*f**2 + 192*f + 3*f**2 + 51 - 4*f**3.
-4*(f - 7)*(f + 1)*(f + 2)
Let 67*o**3 + 0 - 4*o**2 - 65/2*o**4 + 0*o = 0. What is o?
0, 4/65, 2
Let g(u) be the second derivative of 17/8*u**2 + 3/4*u**3 + 1/48*u**4 + u + 49. Suppose g(m) = 0. Calculate m.
-17, -1
Let h(w) be the second derivative of -w**6/360 - w**5/5 + 25*w**4/24 - 4*w**3 - w**2/2 - 29*w + 2. Let b(i) be the second derivative of h(i). Factor b(a).
-(a - 1)*(a + 25)
Let a = 4123 + -4121. Let v(w) be the third derivative of 0 - 1/168*w**8 + 0*w**3 - 1/30*w**5 + 1/60*w**6 - 15*w**a + 1/105*w**7 + 0*w**4 + 0*w. Factor v(b).
-2*b**2*(b - 1)**2*(b + 1)
Let m(j) = -j**2 + j + 214. Let z be m(-14). Suppose 1680*r**2 - 664*r**3 + 0*r**5 - 80*r**z - r**4 - 31*r**4 - 5*r**5 - 900*r + r**5 = 0. What is r?
-15, 0, 1
Suppose -2*v - 1 = -65. Let t = -29 + v. Factor 10*o**3 - 12*o - 2*o**t + 19*o**3.
3*o*(3*o - 2)*(3*o + 2)
Let i = 11357 + -965343/85. Let l(v) be the first derivative of i*v**5 + 0*v**2 + 0*v + 1/34*v**4 + 0*v**3 + 20. Factor l(u).
2*u**3*(u + 1)/17
Let x = 675704 - 675701. Let g be 2/(-5)*(-2)/4. Factor 1/5*o - g*o**4 - 1/5*o**x + 0 + 1/5*o**2.
-o*(o - 1)*(o + 1)**2/5
Let i be (-3322)/198 + 4 + 13. Let q(n) be the first derivative of 1/6*n**2 - i*n**3 - 10 + n. Find c, given that q(c) = 0.
-1, 3/2
Let m(l) be the first derivative of -5*l**3 - 51*l**2/2 + 36*l + 1182. Solve m(b) = 0.
-4, 3/5
Let u = -22662 + 45327/2. Let s be 2/(-3) + (-20)/(-3). Factor 0*h + 15/2*h**3 - u*h**4 + 0 - s*h**2.
-3*h**2*(h - 4)*(h - 1)/2
Let a(z) = -15*z - 234. Let d be a(-12). Let x be (d/(-81))/((-4)/(-6)). Factor -4/3*h + x + 1/3*h**2.
(h - 3)*(h - 1)/3
Let o(z) = 3*z**2 + 3*z - 12. Suppose -5*j + 21 = -4*c, 0*c = -2*j + c + 6. Let n(v) = -v**2 - 2*v + 1. Let s(a) = j*o(a) + 6*n(a). Suppose s(u) = 0. What is u?
-2, -1
Factor -m**5 + 19*m**2 + 2*m**4 + 1317*m + 36*m**3 - 1253*m - 2*m**2 + 39*m**2 + 32*m**2.
-m*(m - 8)*(m + 2)**3
Let p(k) be the first derivative of k**4/6 - 116*k**3/9 + 517*k**2/3 + 5973. Factor p(x).
2*x*(x - 47)*(x - 11)/3
Let w(r) = -5*r**3 - 43*r**2 + 545*r + 569. Let f(u) = -8*u**3 - 72*u**2 + 908*u + 948. Let v(z) = 7*f(z) - 12*w(z). Factor v(y).
4*(y - 6)*(y + 1)*(y + 8)
Let k(s) be the first derivative of 12*s**5/5 - 137*s**4 - 184*s**3/3 - 2509. Factor k(l).
4*l**2*(l - 46)*(3*l + 1)
Suppose -5*a = -0*t + 3*t - 5, 3*t - 4 = -4*a. Let v = 9178 + -27533/3. Determine h so that -4/3 + t*h + h**2 + v*h**3 = 0.
-2, 1
Let s(y) = -3*y**5 - 26*y**4 - 10*y**3 + 14*y**2 + 46*y - 10. Let i(l) = l**5 + 9*l**4 + 3*l**3 - 5*l**2 - 16*l + 4. Let g(n) = 11*i(n) + 4*s(n). Factor g(f).
-(f - 1)*(f + 1)**2*(f + 2)**2
Let p(g) = -2*g**3 - 3*g**2 + 18*g + 5. Let y be p(-5). Solve 26*k**3 + k**3 + 43*k + 13 + y*k**2 + 41*k + 11 = 0 for k.
-2, -2/3
Suppose -19456*o**4 + 19453*o**4 - 66*o**2 + 48*o**3 - 10*o**2 - 126*o + o**2 = 0. What is o?
-1, 0, 3, 14
Let a(s) be the third derivative of s**6/480 - 3261*s**5/80 + 10634121*s**4/32 - 11559289527*s**3/8 + 5498*s**2. Solve a(x) = 0 for x.
3261
Find r such that 0*r + r**2 + 182 + 25 - 50 + 145 + 153*r = 0.
-151, -2
Let i = 26 - -75. Solve -538*r - i*r + 282*r**2 + 199*r - 44*r**3 + 2*r**4 + 200 = 0.
1, 10
Let o(g) = 42*g - 460. Let s be o(11). Let t(z) be the first derivative of -8*z**s - 1 - 2/5*z**5 + 0*z**4 + 6*z + 4*z**3. What is c in t(c) = 0?
-3, 1
Let t = 20601/21872 + -6/1367. Let q(d) be the first derivative of 5/12*d**3 + t*d**4 + 0*d + 0*d**2 - 4. Solve q(j) = 0 for j.
-1/3, 0
Let t(z) be the third derivative of -z**7/735 - 4*z**6/105 - 23*z**5/70 - 13*z**4/42 + 16*z**3/3 + 741*z**2 + z. Solve t(a) = 0 for a.
-8, -7, -2, 1
Let p be 7 + (-390)/54 + (-69988)/(-18). Factor -2515*y + 50*y - 1639*y - p - 3*y**3 - 219*y**2.
-3*(y + 1)*(y + 36)**2
Let q = 2/18233 - -15685/23228842. Let l = 1269/6370 + q. Suppose -2/5*m**2 + 0*m + 0 - l*m**3 = 0. What is m?
-2, 0
Suppose 40 = 4*j - 4*f, -9909*j = -9924*j - 5*f - 10. Determine g so that 8/9*g + 10/9*g**4 - 2/3*g**3 + 0 - 16/9*g**j + 4/9*g**5 = 0.
-2, 0, 1/2, 1
Factor 33652395/4*p**2 + 915753/4*p**3 + 27/4*p**5 + 13891500 + 21234150*p + 8577/4*p**4.
3*(p + 105)**3*(3*p + 4)**2/4
Suppose -5*f - 4*t = t - 60, -9 = 3*t. Suppose -4*y + 9*y = f. Solve -16*c**2 + 14*c**2 + 3*c**y + 2*c**3 - 3*c**3 = 0.
0, 1
Let g be -2*3/(-24) - (-27)/(-12). Let o be (-30)/(-12) + (-1)/g. Suppose 3 + 3 + 4 - 3*d - d**o - 6*d**2 = 0. Calculate d.
-5, -2, 1
Factor -2672/3*i + 27889/3 + 64/3*i**2.
(8*i - 167)**2/3
Let r(x) = x**3 + 14*x**2 + 73*x + 96. Let m(f) = 3*f**3 + 41*f**2 + 217*f + 287. Let c = 17 - 19. Let o(w) = c*m(w) + 7*r(w). Factor o(t).
(t + 2)*(t + 7)**2
Let c(p) be the first derivative of p**5/20 + 2*p**4/3 - p**3/6 - 4*p**2 - 205*p - 38. Let b(j) be the first derivative of c(j). Let b(m) = 0. What is m?
-8, -1, 1
Let q = -564 - -566. Factor -87*v**2 + q*v**3 + 42*v**2 - 54000 + 5452*v - 52*v - 135*v**2.
2*(v - 30)**3
Let g(y) be the second derivative of y**7/840 + y**6/60 + y**3/3 - 3*y**2 + 5*y - 4. Let d(f) be the second derivative of g(f). Suppose d(z) = 0. What is z?
-6, 0
Let l(d) = -d**3 + 25*d**2 + 54*d. Let s be (4 + (-28)/4)*(-27)/3. Let g be l(s). Factor g*t**3 + 2/5*t**4 + 1/5*t - 1/5*t**5 - 2/5*t**2 + 0.
-t*(t - 1)**3*(t + 1)/5
Let l be (-30*(-68138)/35325)/((-2)/(-18)). Find x, given that -1764/5*x**4 - 933/5*x**2 - 3/5 - 96/5*x - l*x**3 = 0.
-1, -1/3, -1/14
Let d(m) be the second derivative of -m**5/5 - 19*m**4/3 - 238*m**3/3 - 490*m**2 - 3*m - 11. Factor d(c).
-4*(c + 5)*(c + 7)**2
Let g = -33 + 41. Suppose n - 16 + 4 = 4*t, -4*t - g = 0. Let -20*y**2 + 4*y + y + 23*y**2 + n*y + 6 = 0. What is y?
-2, -1
Factor 248*f**2 - 254*f + 206*f**3 - 204*f**3 + 1740 - 2240.
2*(f - 2)*(f + 1)*(f + 125)
Suppose 26 = -5*w - 5*i + 1, -3*w + 5*i - 7 = 0. Let k be 0/(w*1)*(-2)/6. Find f, given that -15*f**3 - 5*f + 57*f**4 - 45*f**2 + k*f - 52*f**4 - 20*f