*(i + 1)**2/4
Determine p so that 448415*p**2 + 12 + 2*p**3 - 2*p - 448432*p**2 + 5 + 0*p = 0.
-1, 1, 17/2
Let t(g) = g**3 + 23*g**2 - 15*g. Let z be t(-21). Let n = -1195 + z. Factor 1/4*b**3 + 0 + 9*b + 3*b**n.
b*(b + 6)**2/4
Let i = 46888/305279 + 6/23483. Factor -20/13*s**2 - i*s**3 - 64/13*s - 64/13.
-2*(s + 2)*(s + 4)**2/13
Let h(i) be the first derivative of -i**4/30 - 68*i**3/45 - 64*i**2/3 - 1024*i/15 - 992. Factor h(m).
-2*(m + 2)*(m + 16)**2/15
Let m(p) = -p**5 + 19*p**4 + 24*p**3 + 18*p**2 - 4*p + 2. Let r(x) = -x**5 + x**4 - 9*x**2 + 2*x - 1. Let c(z) = -m(z) - 2*r(z). Suppose c(y) = 0. Calculate y.
-1, 0, 8
Factor -1/2*w**5 - 274*w - 78 - 709/2*w**2 - 399/2*w**3 - 83/2*w**4.
-(w + 1)**3*(w + 2)*(w + 78)/2
Let t be 2185/(-268755) - 377/(-984). Let -3/8*b**2 + 0 + t*b**4 - 3/4*b**3 + 3/4*b = 0. Calculate b.
-1, 0, 1, 2
Let n(i) be the third derivative of 11/320*i**6 - 1/168*i**7 + 87*i**2 + 0*i**3 + i + 0 - 3/40*i**5 + 0*i**4 + 1/2688*i**8. Factor n(s).
s**2*(s - 4)*(s - 3)**2/8
Suppose 0 = -3*h - 2*h - 3*v + 7, 5*v + 0*v + 5 = 0. Find x such that -12 + 4/9*x**h + 104/9*x = 0.
-27, 1
Suppose -2*n + 6 = n. Let z(v) = -1. Let m(l) = l + 4. Let u(o) = m(o) + 3*z(o). Let w(t) = -4*t**2 + 6*t - 6. Let j(s) = n*u(s) + w(s). Factor j(r).
-4*(r - 1)**2
Let g be ((-486)/(-90))/(-9) - (-208)/80. Determine d, given that 32/5*d**g + 152/5*d - 2/5*d**3 + 32 = 0.
-2, 20
Let b = 317 + -310. Suppose b*z - 27 = 1. Factor -15/2*m**3 + 6*m + 12 - 9*m**2 - 3/2*m**z.
-3*(m - 1)*(m + 2)**3/2
Let o = -82 + 661/8. Let p(i) be the first derivative of 9 - 19/4*i**3 - 13/4*i**2 - o*i**5 - 95/32*i**4 - i. Let p(b) = 0. What is b?
-2, -1, -2/5
Let q(y) = -y**3 - y**2. Let r(m) = m**3 + 4*m**2 - m + 22. Let k be r(-5). Let c(s) = -2*s**3 - 10*s**2 - 12*s - 4. Let w(p) = k*c(p) - 14*q(p). Factor w(j).
2*(j - 2)*(j + 1)*(5*j + 2)
Let -370*q - 186*q**2 - 2/3*q**3 - 554/3 = 0. What is q?
-277, -1
Let q(t) = -24 + 159*t + 246*t - 20*t**2 - 30 - 224 - 117. Let o(i) = 29*i**2 - 608*i + 593. Let f(h) = 5*o(h) + 7*q(h). Find l such that f(l) = 0.
1, 40
Suppose 5*n = -32*p + 722 - 546, 0 = -2*p - 5*n + 86. Let b be (1/8)/(1/2). Suppose 1/4*g**p + 1/4*g**2 - 1/4*g**4 + 0 - b*g = 0. Calculate g.
-1, 0, 1
Let o = -17384/9 - -1944. Let i = o - 488/45. Factor 0*k + 0*k**2 + i*k**4 + 2/5*k**5 + 0 + 0*k**3.
2*k**4*(k + 4)/5
Let f = 725910 + -3629546/5. Suppose w + 0 = 2. Suppose 0 - 4/5*j + f*j**w = 0. Calculate j.
0, 1
Suppose -3*b = -3*q - 27, -1 = -5*b + q + 24. Find m, given that -b + 21*m**2 - 36*m**3 - 5*m**2 + 44*m**3 - 4*m**2 = 0.
-1, 1/2
Let d be ((-18650)/(-5595))/((-10)/(-9)). Suppose -85/3*u**d + 27*u**2 + 2/3 + 25/3*u**4 - 23/3*u = 0. What is u?
1/5, 1, 2
Let l(a) be the second derivative of -1/90*a**6 - 25/18*a**4 + 30 + a + 0*a**2 + 19/60*a**5 + 16/9*a**3. Factor l(n).
-n*(n - 16)*(n - 2)*(n - 1)/3
Let p(i) be the second derivative of 1/70*i**5 - 2/7*i**2 + 2*i + 0*i**4 - 1/7*i**3 - 21. Factor p(o).
2*(o - 2)*(o + 1)**2/7
Let w(p) be the third derivative of 3*p**6/200 - 7459*p**5/100 - 6219*p**4/20 - 2488*p**3/5 + 6010*p**2 + p. Find f such that w(f) = 0.
-1, -2/3, 2488
Let l = -183471/16 - -11467. Let n(a) be the first derivative of -l*a**4 + 1/8*a**2 + 1/20*a**5 + 0*a - 1/12*a**3 + 4. Determine q so that n(q) = 0.
-1, 0, 1
Let u(z) be the third derivative of -1/600*z**5 - 121/60*z**3 + 0 + 2*z**2 + 12*z + 11/120*z**4. Determine l so that u(l) = 0.
11
Suppose -23*y + 76 = 67*y - 104. Suppose -36/7*f**y + 66/7*f + 2/7*f**3 - 32/7 = 0. Calculate f.
1, 16
Let z(u) be the second derivative of -u**5/10 - u**4/6 + u**3/2 + 5*u**2/2 - 30*u. Let o be z(-3). Let 6005*i - 5997*i + o - 7*i**2 + 3*i**2 = 0. What is i?
-2, 4
Let v = -5/6481 + 4724669/25924. Solve -v - 27/2*r - 1/4*r**2 = 0 for r.
-27
Let h(m) = -20*m**3 - 2*m**2 - 2*m - 1. Let c be h(-1). Suppose 5*f - 1210 = -2*f + 2*f. Suppose -13*k - 12*k + f + 2*k**2 - c*k = 0. What is k?
11
Let h(o) = 8*o**2 - 1082*o - 34596. Let i be (27/(-18) + -7)*2. Let q(u) = 3*u**2 - 360*u - 11532. Let n(p) = i*q(p) + 6*h(p). Factor n(m).
-3*(m + 62)**2
Let d(c) = 22*c**2 - 188*c + 616. Let h(i) = 15*i**2 - 125*i + 410. Let t(f) = 5*d(f) - 7*h(f). What is m in t(m) = 0?
6, 7
Let r be (21/35)/((183/30 - 6)*3). Let -1/3*y**3 - 1/9*y**r + 1/3*y + 2/9*y**4 - 1/9 = 0. Calculate y.
-1, 1/2, 1
Let w be 2*9*1698*1/12. Let z = -2545 + w. Solve 0*p - 1/6*p**z + 0 = 0 for p.
0
Determine a so that 5*a**4 - 450 - 30015*a**2 - a**3 - 4*a**3 + 29740*a**2 - 715*a = 0.
-5, -2, -1, 9
Let c(v) be the third derivative of v**5/10 + 601*v**4/8 - 301*v**3/2 - 169*v**2 - 9. Factor c(y).
3*(y + 301)*(2*y - 1)
Determine v, given that 5/3*v + 344/3*v**2 + 0 - 23*v**3 = 0.
-1/69, 0, 5
Let h = -9606/5 + 3843/2. Let j(q) be the first derivative of 8 - 1/15*q**3 + 2*q + h*q**2. Factor j(a).
-(a - 5)*(a + 2)/5
Let i(c) be the first derivative of c**7/525 - 2*c**6/75 + 19*c**5/150 - c**4/5 + 49*c**2/2 - 11. Let n(a) be the second derivative of i(a). Factor n(j).
2*j*(j - 4)*(j - 3)*(j - 1)/5
Suppose b + 4*k - 72 = 0, b - 17*k = -20*k + 69. Suppose 48 = -6*a + b. Factor 0 + 64/7*u + 4/7*u**4 + 80/7*u**a + 32/7*u**3.
4*u*(u + 2)**2*(u + 4)/7
Let -35*a + 110022 + 221*a**2 + 2925*a**3 - 110*a - 109992 - 3080*a**4 - 671*a**2 + 720*a**5 = 0. Calculate a.
-2/9, 1/4, 1, 3
Let f(m) be the first derivative of 11*m**4/14 + 80*m**3/21 - 524. Factor f(u).
2*u**2*(11*u + 40)/7
Suppose -2*i = -5*a - 3, 262*i + 4*a - 16 = 259*i. Let c(z) be the second derivative of 0 - 21*z - 5/2*z**2 + 5/3*z**3 - 5/12*z**i. What is y in c(y) = 0?
1
Factor 512*f**2 - 427*f + 307*f - 1019*f**2 + 512*f**2.
5*f*(f - 24)
Let r(p) be the first derivative of p**3/15 - 519*p**2/10 + 518*p/5 - 10651. Suppose r(a) = 0. What is a?
1, 518
Let r(k) = -k**2 + 8*k + 8. Let i be r(8). Let z(v) = v**2 + v - 4. Let u be z(-4). Factor -u*w - i*w - 2*w**2 - 2*w - 12 + 4*w.
-2*(w + 1)*(w + 6)
Let y be (-3 - 28/(-8))*((-2706)/(-165))/41. Suppose 12/5*m + y*m**2 + 11/5 = 0. What is m?
-11, -1
Let y be 460/(-546) + (-10)/35. Let p = y + 32/13. Factor -2/3*g**3 + 2/3*g**4 - 2*g**2 + p + 2/3*g.
2*(g - 2)*(g - 1)*(g + 1)**2/3
Let d(v) be the second derivative of v**6/42 - 37*v**5/105 + v**4/3 - 12*v**2 - 17*v + 4. Let j(x) be the first derivative of d(x). Solve j(r) = 0 for r.
0, 2/5, 7
Let k(a) = 11*a**2 + 20*a + 4. Let x be k(-4). Let r be (3/9)/((x/24)/25). Suppose 6 + 2/3*c**r - 4*c = 0. What is c?
3
Suppose -64*k - 93*k = -74*k - 166. Find a such that -1/7*a**2 - 13/7*a + k = 0.
-14, 1
Let n(m) = 3*m - 8 + 8*m - 2*m + 7*m**2 - 8*m**2. Let c be n(8). Factor 30*l**2 + 24 - 108*l - 156*l**2 + c*l**3 - 33*l**3.
-3*(l + 2)**2*(11*l - 2)
Suppose 0 = v + 4*v - 10. Let o = v - -2. Find g such that 1 + 2*g**4 + 6*g**2 - 4 - 5*g**o = 0.
-1, 1
Let r(l) = l**2 - 3*l - 11. Let w be r(8). Suppose w*a - 75 = 24*a. Suppose 2 - 2 + 101*h - 96*h - a*h**4 - 5*h**3 + 15*h**2 = 0. Calculate h.
-1, -1/3, 0, 1
Let b(w) be the second derivative of -w**7/14 - 13*w**6/5 - 36*w**5/5 + w**4/2 + 49*w**3/2 + 36*w**2 - 28*w + 3. Let b(x) = 0. Calculate x.
-24, -1, 1
Let w = -66 - -143. Let y = w + -72. Factor 16*u**4 - 6*u**5 - 8*u**4 + 2*u**y - 4*u**3.
-4*u**3*(u - 1)**2
Let w(k) be the second derivative of -3*k**8/560 + k**7/40 - 2*k**6/45 + k**5/30 + 8*k**3 + 6*k + 1. Let z(v) be the second derivative of w(v). Factor z(f).
-f*(f - 1)*(3*f - 2)**2
Let l(m) be the first derivative of -m**5/10 + 57*m**4/4 - 522*m**3 - 1682*m**2 + 2156. Determine i, given that l(i) = 0.
-2, 0, 58
Let 1489*z + 698*z + 1825*z**2 + 1815 + 1224*z + 1254*z - 1030*z + 5*z**3 = 0. Calculate z.
-363, -1
Suppose -18 = -3*b + 5*c + 4, -30 = -3*b + 3*c. Suppose 4*h - 14 - b = 0. Factor -3*u - 23*u**2 + 5*u**3 - h*u + 28*u**2.
5*u*(u - 1)*(u + 2)
Let o(g) be the third derivative of 3*g**5/40 - 473*g**4/16 - 79*g**3/2 + 7*g**2 + g - 8. Determine m so that o(m) = 0.
-1/3, 158
Solve 7811786*b**2 - b**5 + 219648*b**3 + 0*b**5 + 1532*b**4 + 5*b**5 - 339738624 + 112145169*b + 6122806*b**2 + 213437679*b = 0 for b.
-96, 1
Solve 64/5*a - 6/5*a**4 - 32/5 - 4/5*a**3 + 98/5*a**2 = 0 for a.
-4, -1, 1/3, 4
Let b(g) be the first derivative of -2*g**6/21 + 12*g**5/35 - 3*g**4/7 + 4*g**3/21 - 1302. Find f such that b(f) = 0.
0, 1
Factor 3*d**3 + 134*d**2 - 3*d**3 - 777 - 905*d**2 - 1957*