- 1)*(c + 1)**3/2
Suppose -4900901 = 32*a - 4900965. Factor s**a + 0 - 1/4*s**3 + 3*s.
-s*(s - 6)*(s + 2)/4
Suppose -16*i + 6 = -13*i. Let g(h) = 10*h - 7. Let o be g(1). What is t in -2*t**4 + 3*t**3 + 2*t**i - 2*t**3 + t**o + 2*t**3 - 4*t = 0?
-1, 0, 1, 2
Let i(g) = -110*g + 774. Let p be i(7). Let m(r) be the first derivative of -7 + 0*r**3 + 0*r**5 - 1/7*r**2 + 1/7*r**p - 1/21*r**6 + 0*r. Factor m(h).
-2*h*(h - 1)**2*(h + 1)**2/7
Let z(y) = y**3 + 15*y**2 - 14*y + 53. Let b be z(-16). Factor 137 + b*u - 198*u - 311 - 3*u**2.
-3*(u + 1)*(u + 58)
Let i(n) = -9*n**5 + 75*n**4 - 1518*n**3 + 12116*n**2 - 10640*n - 8. Let s(r) = -r**5 + r**4 + 2*r**2 + r - 1. Let j(b) = 5*i(b) - 40*s(b). Factor j(l).
-5*l*(l - 22)**3*(l - 1)
Let u(t) = -2*t**3 - 8*t**2 - t - 1. Let c(l) = 39*l**3 + 4508*l**2 + 6324931*l + 3061257427. Let r(b) = 3*c(b) + 57*u(b). Factor r(h).
3*(h + 1452)**3
Suppose 5*q = -q + 90. Let 890 + 3*z**2 - q*z - 890 = 0. Calculate z.
0, 5
Factor 0 + 0*t - 5/3*t**4 + 2180/3*t**3 - 237620/3*t**2.
-5*t**2*(t - 218)**2/3
Let u be 0 + 1 - (107 - 34000/320). Let d be 2*((-2)/16)/(-1). Suppose u*h**2 - 1/4 + d*h**3 - 1/4*h = 0. What is h?
-1, 1
Suppose 2*m + 33 = -257. Let v be m/(-45) + (-8)/36. Let -9*f**2 - 5*f**2 - v*f**2 + 13*f**2 - 2*f**3 - 2*f = 0. What is f?
-1, 0
Let y be (-22)/4*(-2 - 0). Suppose -y*n + 15*n - 36 = 0. Factor -5*z**2 - n*z + 23*z - 2*z - 4.
-(z - 2)*(5*z - 2)
Let k be 126/2 - (-559087)/(-8891). Solve 10/17*u + 12/17 + k*u**2 = 0.
-3, -2
Let g(f) be the second derivative of f**5/35 + f**4/21 - 4*f**3/7 - 2*f + 3365. Solve g(j) = 0.
-3, 0, 2
Let g(s) = 23*s**2 + 156*s + 1616. Let u(h) = -18*h**2 - 153*h - 1617. Let i(a) = -3*g(a) - 4*u(a). Let i(v) = 0. What is v?
-30, -18
Let b(i) be the third derivative of -i**5/15 + 29*i**4/3 + 210*i**3 - 2029*i**2. What is q in b(q) = 0?
-5, 63
Let v(y) be the third derivative of 0 + 1/180*y**6 + 0*y + 0*y**3 + 5/18*y**4 + 7/90*y**5 + 26*y**2. Factor v(g).
2*g*(g + 2)*(g + 5)/3
Suppose 17*d + 92 = -214. Let w be (((-100)/(-15))/(-5))/(d/27). Factor 8/19*l - 2/19*l**w - 6/19.
-2*(l - 3)*(l - 1)/19
Let b(k) = -2*k**3 + 89*k**2 + 239*k - 186. Let v be b(47). Determine u, given that -1/6*u**4 + 3/2 - 4/3*u**v - 5/3*u + 5/3*u**3 = 0.
-1, 1, 9
Let k = -167 - -191. Find t such that -1274*t**4 - 2198*t**3 + k - 232*t - 575*t**2 - 617*t**2 + 52*t**2 - 40 = 0.
-1, -2/7, -2/13
Let r(s) be the second derivative of 244*s + 0*s**2 + 1/15*s**6 + 0 - 1/6*s**4 + s**3 - 3/10*s**5. Factor r(l).
2*l*(l - 3)*(l - 1)*(l + 1)
Suppose -11*v = 393 - 558. Let q be (v/80)/((2 + 5)/28). Determine a, given that q*a - a**2 + 0 = 0.
0, 3/4
Let w(o) be the third derivative of -1/42*o**7 + 1/6*o**6 + 0 + 52*o**2 + 5/12*o**4 + 0*o**3 - 5/12*o**5 + 0*o. Solve w(r) = 0 for r.
0, 1, 2
What is m in 64*m**3 - 28*m**5 - 20*m**2 + 188*m**4 - 22*m**5 + 6*m + 10*m**5 - 6*m = 0?
-1/2, 0, 1/5, 5
Let q(i) = -42*i**2 - 4497*i - 839229. Let t(r) = 23*r**2 + 2249*r + 419613. Let s(c) = 5*q(c) + 9*t(c). Factor s(o).
-3*(o + 374)**2
Let d(q) = q**4 - q**3 + q**2. Suppose -15 = 2*n - 3. Let t(v) = -v**2 + 5*v**4 + 2*v - 6*v**3 - v**2 - 7*v**2 + 18*v**2. Let c(x) = n*d(x) + t(x). Factor c(i).
-i*(i - 2)*(i + 1)**2
Let o(y) = -y**2 - 576*y + 597. Let x(m) = m**2 + 9. Let j(d) = -o(d) + 2*x(d). Find t such that j(t) = 0.
-193, 1
Let y(t) = t**3 - 5*t**2 + 7*t. Let o be y(5). Let m = o + -33. Let -1 + n**4 + 5*n - 6*n - m*n + 2*n**3 + n = 0. Calculate n.
-1, 1
Factor 1/2*r**5 + 329/2*r**4 + 40343*r**2 + 26569/2 + 13775*r**3 + 80033/2*r.
(r + 1)**3*(r + 163)**2/2
Factor 5/6*b**2 + 5747415/2 - 3095*b.
5*(b - 1857)**2/6
Let b be -13 + 9 + (18 - 25) + 13. Factor 9/2*x - 81/4 - 1/4*x**b.
-(x - 9)**2/4
Let k(g) be the third derivative of -g**5/140 + g**4/2 + 93*g**3/14 - 48*g**2 + g. Factor k(m).
-3*(m - 31)*(m + 3)/7
Suppose -8*k = -5*o - 11*k + 6, 0 = 2*o + k - 3. Factor n**4 + 3*n**4 - 44*n + 92*n**2 - 32*n**o - 56*n - 12*n + 48.
4*(n - 3)*(n - 2)**2*(n - 1)
Let u(l) be the second derivative of l**6/15 + l**5/5 - l**4/6 - 2*l**3/3 - 635*l. Solve u(c) = 0 for c.
-2, -1, 0, 1
Let r(k) be the first derivative of -k**3/5 + 33*k**2/5 - 171*k/5 + 14329. Suppose r(p) = 0. Calculate p.
3, 19
Find i, given that -1/4*i**4 + 0 - 91/4*i**2 - 23/4*i**3 + 507/4*i = 0.
-13, 0, 3
Suppose -331*q + 481 + 582 = -71*q + 283. Find g such that -80/7*g - 4/7*g**q - 48/7*g**2 + 0 = 0.
-10, -2, 0
Let n(s) be the second derivative of -81*s**5/170 + 66*s**4/17 + 515*s**3/51 + 150*s**2/17 + 1530*s. Determine w, given that n(w) = 0.
-5/9, 6
Let i(j) = -j**3 + j**2 - j + 4. Let b be i(2). Let g be -1 - (1*4/b - 1). Let -3*u**4 - 18*u**3 + 12*u**g + 16*u - 4*u + 15*u**3 = 0. What is u?
-2, -1, 0, 2
Suppose -71 - 157 = -163*z + 98. Let -8/3 - 2/3*l**3 + z*l**2 + 0*l = 0. Calculate l.
-1, 2
Let i(r) be the second derivative of -r**7/420 + 25*r**3/6 + r + 22. Let v(n) be the second derivative of i(n). Solve v(f) = 0 for f.
0
Let j(q) be the third derivative of 1/52*q**4 + 0*q**5 + 3 - 1/780*q**6 - 2/39*q**3 - 14*q**2 + 0*q. Factor j(y).
-2*(y - 1)**2*(y + 2)/13
Let h(l) = 2*l**3 - 12*l**2 + 4*l - 7. Let y be h(6). Let u = y + -17. Factor 3*q**3 + 5*q**3 + 3*q**4 + u*q**4 - 2*q**3.
3*q**3*(q + 2)
Let v be (56/(-4032))/((-9)/324). Determine p, given that -p - v - 1/2*p**2 = 0.
-1
Suppose -2*l - 2 = -4*d, 0*l + 2 = d - 2*l. Solve d*i**2 + 0*i**2 - 12 - 6*i + 4 + 2*i**2 = 0 for i.
-1, 4
Let l(o) be the third derivative of -7/40*o**6 + 0*o + 1/2*o**4 + 62*o**2 + 2/5*o**5 + 0 - 1/14*o**7 + 0*o**3. Determine g, given that l(g) = 0.
-2, -2/5, 0, 1
Suppose 15 = -3*d, -7*o = -9*o + 5*d + 43. Suppose -17*m + 20*m - 6 = 0. Factor -2*t - 4*t - o*t - 5*t**m + 20.
-5*(t - 1)*(t + 4)
Let n(m) be the third derivative of m**5/105 + 113*m**4/14 - 680*m**3/21 + m**2 + 480. Factor n(y).
4*(y - 1)*(y + 340)/7
Let g = -125438 + 501755/4. Factor -g - 21/8*t + 3/2*t**2.
3*(t - 2)*(4*t + 1)/8
Let m(p) be the first derivative of 0*p**2 + 0*p + 3/4*p**5 + 1/2*p**6 + 13 - 21/16*p**4 - 1/2*p**3. Solve m(k) = 0 for k.
-2, -1/4, 0, 1
Suppose -3*g = -g. Let k be (-37)/(-6) - 6 - (14 - ((-27625)/(-30))/65). Factor -k*c**2 + 2/3*c + g.
-c*(c - 2)/3
Let g(t) be the second derivative of 49*t**5/110 - 21*t**4/22 + 5*t**3/11 - t**2/11 - t - 216. Find a, given that g(a) = 0.
1/7, 1
Let w(o) be the second derivative of -o**5/10 + 5*o**4/3 - 1320*o. Factor w(u).
-2*u**2*(u - 10)
Suppose -2*h - 3 = 13. Let n be 13/5 + h/(-20). Solve -195*o**4 + o**n - 3*o**3 + 194*o**4 + o**5 = 0.
-1, 0, 2
Find f such that -52/3*f**3 - 56*f + 0 - 218/3*f**2 - 2/3*f**4 = 0.
-21, -4, -1, 0
Suppose 302 - 22 = 139*n + n. Let k(i) be the first derivative of -2 + 10/21*i**3 + 0*i + 4/7*i**n + 1/14*i**4. Determine p so that k(p) = 0.
-4, -1, 0
Suppose c = -4*c. Suppose 134*t - 243*t + 161*t = 156. What is y in 2/15*y**2 + 0 + c*y + 2/15*y**t = 0?
-1, 0
Let f(j) = j**4 + 32*j**3 + 78*j**2 + 64*j + 21. Let a(u) = -33*u**3 - 81*u**2 - 63*u - 21. Let w(v) = 2*a(v) + 3*f(v). Factor w(g).
3*(g + 1)**3*(g + 7)
Let r = 351 + -359. Let a be (r - 768/(-104))/(-1). What is f in 12/13*f**2 + 2/13 + 8/13*f + 2/13*f**4 + a*f**3 = 0?
-1
Factor 1/11*o**2 + 100489/11 - 634/11*o.
(o - 317)**2/11
Let u(n) be the second derivative of -2*n**7/63 - 7*n**6/45 - n**5/5 + n**4/18 + 2*n**3/9 + 9*n - 222. Let u(o) = 0. What is o?
-2, -1, 0, 1/2
Let t(j) be the second derivative of j**5/20 + 61*j**4/6 + 119*j**3/6 - 121*j**2 + 8*j + 27. What is m in t(m) = 0?
-121, -2, 1
Let a(m) be the third derivative of -m**7/70 + m**6/40 + 9*m**5/4 + 83*m**4/8 + 20*m**3 - 68*m**2 - 15*m + 1. Factor a(b).
-3*(b - 8)*(b + 1)**2*(b + 5)
Let y(v) be the first derivative of 130/7*v**2 - 400/7*v - 5 + 1/7*v**4 - 8/3*v**3. Solve y(f) = 0.
4, 5
Let a be (-8528)/(-45305)*30/6. Solve 2/17*p**2 - 18/17 + a*p = 0 for p.
-9, 1
Let m(c) be the second derivative of c**4/3 + 1822*c**3/3 + 1820*c**2 - 5*c + 375. Determine u, given that m(u) = 0.
-910, -1
Factor -2852*n**5 + 56*n**2 - 20 + 100*n**3 + 2860*n**5 + 75*n**4 + 12*n**3 - 24*n - 15*n**4.
4*(n + 1)**3*(n + 5)*(2*n - 1)
Factor -142*v**3 - 1 + 45*v**3 + 47*v**3 + 14*v + 13 + 48*v**3.
-2*(v - 3)*(v + 1)*(v + 2)
Let m(r) = 21*r - 143. Let t be m(7). Solve 9*s**4 - 3*s**3 + 0*s**3 + 8*s - 8*s**t + s**3 - 4*s**2 = 0.
-2, 0, 2
Let c = 38951