*i**6/3 - 7*i**5 + 10*i**4 - 10*i**3/3 - 5*i**2 + 5*i + 444. What is j in o(j) = 0?
-1/2, 1
Let u(f) = 3*f**3 - 30*f**2 - 81*f - 51. Let t(i) = -4*i**3 + 61*i**2 + 161*i + 101. Suppose 2*z = -5 - 1. Let r(d) = z*t(d) - 5*u(d). Factor r(y).
-3*(y + 1)*(y + 2)*(y + 8)
Let n = 228081 - 228077. Let s be 65/3 + (-3)/9. Factor n*i**2 - 4/3*i**3 - 1/3*i**4 + 32/3*i - s.
-(i - 2)**2*(i + 4)**2/3
Let -14/3*l**3 + 53/3*l + 10/3*l**4 - 22/3 + 1/3*l**5 - 28/3*l**2 = 0. Calculate l.
-11, -2, 1
Let r(b) = 360*b - 66. Let d be r(5). Find p such that 536*p - 149*p**2 + 53*p**2 + 3*p**3 + 38*p + d + 89*p = 0.
-2, 17
Let z be ((-3 + -6)/1 - 18/(-2))/5. Solve z*o**2 + 0 + 5/4*o**3 - 5/4*o = 0.
-1, 0, 1
Let k be 1/((2/13)/((-44)/26 + 2)). Let f(i) be the second derivative of -k*i**2 + 0 + 1/3*i**3 + 1/3*i**4 - 1/10*i**5 + 12*i. Solve f(d) = 0 for d.
-1, 1, 2
Let q(m) be the second derivative of 3*m**5/20 - 89*m**4/4 - 60*m**3 + 167400*m**2 - 181*m + 5. What is v in q(v) = 0?
-31, 60
Let p(x) be the first derivative of -2 + 2/3*x**3 - 30/7*x + x**2 + 1/14*x**4. Factor p(d).
2*(d - 1)*(d + 3)*(d + 5)/7
Let s(o) be the first derivative of -o**5/210 + o**4/126 + 78*o - 90. Let k(u) be the first derivative of s(u). Suppose k(z) = 0. What is z?
0, 1
Let n(a) be the first derivative of -4*a**5/5 - 25*a**4 + 108*a**3 - 166*a**2 + 112*a - 699. Factor n(g).
-4*(g - 1)**3*(g + 28)
Let s(h) be the third derivative of h**6/48 + 7*h**5/4 + 175*h**4/48 - 205*h**3/2 + 6*h**2 + 146. Determine w so that s(w) = 0.
-41, -3, 2
Let i(r) be the second derivative of r**4/36 + 52*r**3/3 + 4056*r**2 - 1411*r - 2. Factor i(x).
(x + 156)**2/3
Let j = 1105252868/1071 + -1031982. Let t = 1/153 + j. Factor -t - 1/7*r**2 - 2/7*r.
-(r + 1)**2/7
Let t(p) be the second derivative of -25*p**7/42 - 31*p**6/6 + 17*p**5/2 + 95*p**4/6 - 145*p**3/6 - 35*p**2/2 + 1917*p. Let t(i) = 0. Calculate i.
-7, -1, -1/5, 1
Factor -26/5*s**2 + 0 + 2/5*s**3 - 92*s.
2*s*(s - 23)*(s + 10)/5
Let n(o) = o + 6*o + 5*o**2 - 7*o. Let s be n(2). Find h, given that -8*h**4 + 4*h**3 + s*h**4 - 10*h**4 = 0.
-2, 0
Let v = 426 - 433. Let y be 1133/110 + v + 3/(-2). Suppose 3/5 - 12/5*j**2 - y*j = 0. What is j?
-1, 1/4
Let x(z) = -4*z**3 + 452*z**2 - 12552*z - 13128. Let p(m) = m + 11. Let k(t) = 12*p(t) + x(t). Let k(b) = 0. What is b?
-1, 57
Let a(h) be the first derivative of h**4/9 + 608*h**3/27 + 3950*h**2/3 + 5000*h - 1315. Factor a(r).
4*(r + 2)*(r + 75)**2/9
Let c = -3200 - -3204. Let r(m) be the third derivative of 0*m**3 + 13/240*m**6 + 1/12*m**c - 8*m**2 + 0*m + 1/9*m**5 + 0 + 1/140*m**7. Factor r(k).
k*(k + 3)*(3*k + 2)**2/6
Let l be -12*((-24)/9 - -2) - 4. Let k be (-21)/56*-2*l. Factor 3*s**3 - k*s + 0*s**2 + 3/2*s**4 - 3/2.
3*(s - 1)*(s + 1)**3/2
Factor -397*s - 13*s**2 + 2235 + 8*s**2 - 333*s.
-5*(s - 3)*(s + 149)
Let q be 1172/1 + (2 - 1) + -5. Factor -12*z**4 - 5*z**2 + q*z**5 - 1170*z**5 + 5*z**2 - 16*z**3.
-2*z**3*(z + 2)*(z + 4)
Let b(f) be the third derivative of f**10/302400 - f**8/40320 + 11*f**5/12 - f**4/24 + 269*f**2. Let o(g) be the third derivative of b(g). Solve o(u) = 0.
-1, 0, 1
Suppose -5*n - 2*j = -10, 2*j - 4 = -2*n - j. Factor 165*f**2 - 180*f**2 - 305*f**2 + 170*f - 145*f**n - 45*f + 10.
-5*(3*f - 1)*(31*f + 2)
Let v(y) = 2*y**3 + 41*y**2 - 34*y + 3. Let x be v(-21). Let i = -274 + x. Suppose -9/2*o**3 - 27/4*o**i + 0*o - 3/4*o**4 + 0 = 0. What is o?
-3, 0
Let t = -1536 + 2188. Find v such that t*v**3 - 9 - 3*v**2 + 1 - 649*v**3 - 16 - 30*v = 0.
-2, -1, 4
Let q(r) = -7*r**2 - 575*r - 1192. Let w(g) = 2*g**2 + 191*g + 395. Let v(n) = -3*q(n) - 10*w(n). Determine z, given that v(z) = 0.
-2, 187
Let m(k) be the second derivative of 35/3*k**4 - k + 38*k**2 + 22 + 2/5*k**5 - 112/3*k**3. Factor m(n).
4*(n - 1)*(n + 19)*(2*n - 1)
Let h(j) = -j**4 + j**2 + 1. Let y(d) = 2*d**4 - 24*d**3 - 56*d**2 - 30*d + 1. Suppose -10 = -4*l - 2, 0 = 5*f + 3*l - 1. Let k(u) = f*y(u) + h(u). Factor k(w).
-3*w*(w - 10)*(w + 1)**2
Let a(j) be the third derivative of j**7/14 + 127*j**6/200 - 19*j**5/10 - 79*j**4/10 - 12*j**3/5 - 100*j**2 - 29*j. Find o such that a(o) = 0.
-6, -1, -2/25, 2
Let v(q) = 50*q**2 + 308*q - 90. Let c(u) = -2*u**2 + u + 3. Let p(x) = -2*c(x) - v(x). Factor p(n).
-2*(n + 7)*(23*n - 6)
Let u = -36538/55 - -7312/11. Suppose -16/5*y + 24/5 + u*y**2 = 0. What is y?
2, 6
Suppose 87362/13 - 836/13*g + 2/13*g**2 = 0. Calculate g.
209
Let v be 2/(-30)*(26 + (-9 - 23)). Let 0 + 0*z**3 - 4/5*z**4 + 4/5*z**2 + 2/5*z**5 - v*z = 0. What is z?
-1, 0, 1
Let o = 67741/30 - 2258. Let a(p) be the second derivative of 3*p + 0 - 1/150*p**6 + 1/25*p**5 - o*p**4 + 3/10*p**2 - 2/15*p**3. Factor a(u).
-(u - 3)*(u - 1)**2*(u + 1)/5
Suppose -q - 5*c = -5*q - 7, 0 = -2*c + 6. Determine p, given that -235*p**3 + 40*p**3 + 155*p - 20 + 45*p**4 + 50 + 125*p**q = 0.
-1/3, 2, 3
Solve -4*g**2 - 8/5*g + 2/5*g**3 + 16 = 0 for g.
-2, 2, 10
Let w(z) = -10*z**4 + 121*z**3 - 148*z**2 + 49*z + 1. Let r(d) = -d**4 + d**3 + d + 1. Suppose 13*x - 6*x - 7 = 0. Let c(n) = x*w(n) - r(n). Factor c(m).
-m*(m - 12)*(3*m - 2)**2
Factor 0 + 1/9*u**3 + 2/9*u + 1/3*u**2.
u*(u + 1)*(u + 2)/9
Let b(m) = -m**2 - m. Let r(c) = -2*c**2 + 50*c - 144. Let s = -136 + 137. Let z(u) = s*r(u) + 2*b(u). Factor z(g).
-4*(g - 6)**2
Let 255/7*v - 1/7*v**2 - 506/7 = 0. Calculate v.
2, 253
Let b(z) be the first derivative of -35/18*z**3 + 33 - 10*z**2 - 4*z - 5/36*z**4. Let r(i) be the first derivative of b(i). Solve r(h) = 0 for h.
-4, -3
Suppose 0 = 30*o + 3*o + 396. Let h be 5/(-15) - 4/o. Solve -3/4*x**3 + h + 3/2*x**2 + 9/4*x = 0 for x.
-1, 0, 3
Factor -3*z**2 - 170*z + 118*z - z**2 + 456.
-4*(z - 6)*(z + 19)
Let q(o) be the first derivative of 3/14*o**4 + 2/35*o**5 + 0*o - 8/7*o**2 - 83 - 4/7*o**3. Factor q(j).
2*j*(j - 2)*(j + 1)*(j + 4)/7
Let r(v) be the third derivative of v**6/540 + v**5/36 - 7*v**4/18 - 46*v**3/3 + 5*v**2 + 2. Let g(l) be the first derivative of r(l). Let g(y) = 0. What is y?
-7, 2
Let o = 1782 - 1778. Suppose 23 = 2*n + 25*j - 30*j, -o*j - 28 = -4*n. Solve -6/7*g + 0 + 27/7*g**3 - 3*g**5 - 15/7*g**2 + 15/7*g**n = 0 for g.
-1, -2/7, 0, 1
Let z = -1753 + 1757. Let l(m) be the third derivative of 0*m - 1/20*m**5 + 1/160*m**6 + 7*m**2 - 1/4*m**3 + 5/32*m**z + 0. Factor l(o).
3*(o - 2)*(o - 1)**2/4
Factor -30*y + 2/15*y**2 + 1768/15.
2*(y - 221)*(y - 4)/15
Let l(v) be the second derivative of -3*v**5/20 + 3*v**4/4 + 8*v**3 + 18*v**2 + 54*v - 10. Factor l(w).
-3*(w - 6)*(w + 1)*(w + 2)
What is r in -10/3*r**4 + 10/3*r**2 + 10*r**3 - 28/3*r - 2/3*r**5 + 0 = 0?
-7, -1, 0, 1, 2
Let -i**5 + 1085*i**4 - 501*i**4 + 1846*i**2 + 1430*i**2 - 498*i**4 + 5292*i - 1929*i**3 = 0. What is i?
-1, 0, 3, 42
Let a(v) be the second derivative of -v**5/180 + 5*v**4/108 + 8*v**3/9 - 14*v**2 + 624*v + 1. Find z such that a(z) = 0.
-7, 6
Let h(r) = r**2 + 31*r + 35. Let g(q) = -q**2 + 33*q + 32. Let c(v) = -5*g(v) + 4*h(v). Find m, given that c(m) = 0.
-4/9, 5
Let w = 8396 - 8391. Let q(k) be the third derivative of 1/18*k**4 + 1/72*k**w + 9*k**2 + 1/720*k**6 + 0 + 1/9*k**3 + 0*k. Factor q(i).
(i + 1)*(i + 2)**2/6
Let i be (12*6/2520)/((-4)/(-10)). Let j(n) be the first derivative of 6/7*n + n**2 - 17 + 10/21*n**3 + i*n**4. Factor j(u).
2*(u + 1)**2*(u + 3)/7
Let m(z) = -2*z - 13. Let j(a) = -a - 1. Let v(f) = 6*j(f) - 2*m(f). Let o be v(7). Factor -10*l + 0 + 0*l - 5*l**2 + 9 + o.
-5*(l - 1)*(l + 3)
Suppose -4470 - 5*c**2 + 2230 - 8*c + 2230 - 5*c - 2*c = 0. What is c?
-2, -1
Let t(m) be the second derivative of -2*m**4/63 + 293*m**3/9 + 171*m**2/7 + 839*m + 1. Factor t(n).
-2*(n - 513)*(4*n + 1)/21
Let u(r) be the third derivative of -r**6/540 + 41*r**5/90 - 1681*r**4/36 + 3*r**3/2 - 146*r**2. Let n(q) be the first derivative of u(q). Factor n(p).
-2*(p - 41)**2/3
Solve -20/13*k**2 + 2/13*k**3 - 254/13*k + 272/13 = 0.
-8, 1, 17
Let x = -148/145 + 1192/145. Determine n so that 26*n**3 + 0*n + 2*n**5 + 104/5*n**4 + x*n**2 + 0 = 0.
-9, -1, -2/5, 0
Let o(l) be the third derivative of l**5/50 + 17*l**4/30 - 37*l**3/15 + 10*l**2. Factor o(f).
2*(f - 1)*(3*f + 37)/5
Let o(f) be the first derivative of 616137*f**5/25 + 323733*f**4/5 + 8496*f**3 + 2136*f**2/5 + 48*f/5 + 1314. Factor o(r).
3*(r + 2)*(59*r + 2)**3/5
Factor 658*u - 2940 + 2/5*u**3 - 152/5*u**2.
2*(u - 