-11 + 3 = -a*p. Determine r, given that 2/3*r**p + 0 + 2/3*r = 0.
-1, 0
Let n = 225944 - 2937250/13. What is s in n*s**2 - 4/13*s + 0 = 0?
0, 2/11
Let r(x) be the first derivative of 15/14*x**2 - 59 + 0*x + 18/35*x**5 - 6/7*x**3 - 1/14*x**6 - 3/7*x**4. Determine j so that r(j) = 0.
-1, 0, 1, 5
Suppose 7*j = 14*j - 45*j - 30*j. Let u(s) be the first derivative of -30 + j*s - s**4 + 4*s**2 - 4/3*s**3. Factor u(d).
-4*d*(d - 1)*(d + 2)
Suppose 6 = 3*t, 5*y - 109 = 2*t - 8. Let x = -19 + y. Suppose -52*v**3 - 4*v - 6*v**2 + 57*v**3 - 3*v**x + v**2 = 0. Calculate v.
-2/5, 0, 2
Let t(f) be the second derivative of f**8/5280 + f**7/1848 + f**6/7920 + 133*f**4/12 - 15*f + 2. Let j(s) be the third derivative of t(s). Factor j(u).
u*(u + 1)*(14*u + 1)/11
Factor -25/3*w**5 + 0*w + 0*w**2 + 0 - 220/3*w**4 - 484/3*w**3.
-w**3*(5*w + 22)**2/3
Suppose 353655 = -2475*i + 1591155. Solve -20*a - i - 1/5*a**2 = 0.
-50
Let k(l) = 10*l**4 - 406*l**3 - 1254*l**2 - 1268*l - 424. Let x(w) = -w**4 - w**3 - w**2. Let f(p) = -k(p) - 6*x(p). Solve f(c) = 0.
-1, 106
Suppose -543 = -4*s - 531. Let i be s/(-9) + 7/7. Determine o so that 0 + 0*o**3 + 2/3*o**4 + 0*o - i*o**2 = 0.
-1, 0, 1
Let v(k) be the third derivative of -55/24*k**4 - 1/2*k**5 - 5*k**3 + 0 - 1/24*k**6 - 5*k - k**2. Find n such that v(n) = 0.
-3, -2, -1
Let k(b) be the second derivative of b**4/18 + 8*b**3/3 + 48*b**2 + b + 245. Find f such that k(f) = 0.
-12
Let w(l) be the first derivative of -l**4/10 + 22*l**3/15 + 26*l**2/5 + 520. Suppose w(r) = 0. What is r?
-2, 0, 13
Factor -447*w**2 - 2661/2*w - 3/2*w**3 - 885.
-3*(w + 1)*(w + 2)*(w + 295)/2
Suppose -23*o = -16*o - 21. Determine z so that -9*z**2 - 51*z**2 - 4*z**o - 3*z**4 - z**3 + 8*z**4 = 0.
-3, 0, 4
Suppose 1733 = -6*c - 667. Let z = c - -403. Suppose 0 - 3/5*t**2 + 0*t - 3/5*t**z = 0. What is t?
-1, 0
Factor 578*u + 417605 + 1/5*u**2.
(u + 1445)**2/5
Let l = 37350 + -37350. Factor 0*n - 1/9*n**4 + 0*n**2 + l + 0*n**3.
-n**4/9
Suppose 107721*r - 544 = 107585*r. What is k in -11552/5*k + 13718/5 - 2/5*k**r - 112/5*k**3 - 2052/5*k**2 = 0?
-19, 1
Let k(f) = 12*f**4 + 120*f**3 + 288*f**2 + 216*f - 124. Let c(i) = -i**3 + 1. Let p = 632 - 648. Let n(a) = p*c(a) - k(a). Find y, given that n(y) = 0.
-3, 1/3
Let n be 195 - 210 - (-51)/3. Factor 2/9*m**3 + 128/9 + 8/3*m**n + 32/3*m.
2*(m + 4)**3/9
Let t(c) be the first derivative of 3*c**4/4 - 10*c**3 - 78*c**2 - 168*c + 134. Solve t(g) = 0.
-2, 14
Let w(y) = 63*y - 940. Let n be w(15). Let i(o) be the third derivative of 1/330*o**n + 12*o**2 + 0*o + 1/33*o**3 + 0 - 1/66*o**4. Find j such that i(j) = 0.
1
Let q(k) = -7*k**3 + 29*k**2 + 83*k + 39. Let i(u) = 27*u**3 - 117*u**2 - 330*u - 156. Let j(a) = -4*i(a) - 15*q(a). Factor j(y).
-3*(y - 13)*(y + 1)**2
Suppose 2*b + 30 = 2*c - 10, 642 = -32*b + 98. Factor -5/4*x**c + 2*x + 1/2*x**2 + 1/4*x**4 + 0.
x*(x - 4)*(x - 2)*(x + 1)/4
Let w be (-3)/9 + 80553/48213. Let y = -2/487 + w. Let -1/9*c**2 - y*c - 4 = 0. Calculate c.
-6
Let a be ((-96)/336 + -3 + (-69)/(-21))/(-2). Let c(p) be the third derivative of -1/4*p**5 + 0*p + 2*p**2 - 5/12*p**4 + 0*p**3 + a - 1/24*p**6. Factor c(w).
-5*w*(w + 1)*(w + 2)
Suppose 1392*s - 2668*s - 2947*s + 21115 = 0. Factor -1/3*o**s - 4/3*o**4 + 4/3*o - 8/3 + 10/3*o**2 - 1/3*o**3.
-(o - 1)**2*(o + 2)**3/3
Let l(h) = 3*h**4 - 138*h**3 + 143*h**2 - 8. Let j(d) = d**2 - 1. Let b(q) = 8*j(q) - l(q). Factor b(o).
-3*o**2*(o - 45)*(o - 1)
Factor -80/3 + 2/9*b**2 + 14/9*b.
2*(b - 8)*(b + 15)/9
Let u(x) be the second derivative of -x**7/84 - x**6/20 + x**5/8 + x**4/8 - x**3/3 - 22*x - 24. Find r such that u(r) = 0.
-4, -1, 0, 1
Let n(d) be the second derivative of -d + 32/15*d**3 + 8 - 16/5*d**4 + 21/25*d**5 + 0*d**2 - 1/15*d**6. Factor n(y).
-2*y*(y - 4)**2*(5*y - 2)/5
Let b be 3*1 - (6/(-16))/(1/8). Let m(o) be the first derivative of 3*o**4 + 16/3*o**3 + 0*o - 16/5*o**5 + 17 - 8*o**2 + 2/3*o**b. Determine c so that m(c) = 0.
-1, 0, 1, 2
Let z(g) = -15*g**5 + 211*g**4 + 103*g**3. Let f(l) = l**5 + l**4 - 3*l**3. Let v(n) = -10*f(n) - 2*z(n). Factor v(t).
4*t**3*(t - 22)*(5*t + 2)
Let z(u) = -u**2 + u. Let b = 29 - 20. Suppose 4 = b*w - 5*w. Let d(j) = -8*j**2 + 2*j + 6. Let r(a) = w*d(a) - 10*z(a). Factor r(o).
2*(o - 3)*(o - 1)
Let b(x) = 2*x**2 - 64*x - 625. Let y(a) = -5*a**2 + 140*a + 1250. Let f(s) = 5*b(s) + 3*y(s). Determine j, given that f(j) = 0.
-5, 25
Let x(a) be the second derivative of -a**3/6 + 35*a**2/2 + 43*a. Let s be x(33). Suppose 1/3*f**s + 0*f + 0 = 0. What is f?
0
Let t be (-2 - (0 - 3))/(11/22). Suppose 0 = 12*u - 13*u - 4*c - 7, 2*c + 16 = t*u. Factor -4/5 + 2/5*w**u + 4/5*w**2 + 6/5*w - 8/5*w**3 + 0*w**4.
2*(w - 1)**3*(w + 1)*(w + 2)/5
Let j(l) be the first derivative of 4/15*l**3 + 8/5*l + 33 + 1/10*l**4 - 7/5*l**2. Factor j(n).
2*(n - 1)**2*(n + 4)/5
Let i(h) be the first derivative of h**5/390 + 7*h**4/156 + 10*h**3/39 - 77*h**2/2 + 268. Let q(p) be the second derivative of i(p). Factor q(j).
2*(j + 2)*(j + 5)/13
Let p(u) = -u**3 + 24*u**2 - 2*u + 51. Let n be p(24). Let f(b) be the first derivative of -22 + 0*b**2 - 5/3*b**n + 0*b. Factor f(z).
-5*z**2
Suppose -7*c = 23347 - 23515. Let z(j) be the second derivative of 0 + 5/8*j**2 - c*j + 5/12*j**3 + 5/48*j**4. Factor z(b).
5*(b + 1)**2/4
Let 1/3*x**2 - 4/3 + 1/9*x**3 - 4/9*x = 0. Calculate x.
-3, -2, 2
Let t(g) be the second derivative of -g**6/24 - 111*g**5/16 - 5225*g**4/16 - 15125*g**3/24 + 4207*g. Find d such that t(d) = 0.
-55, -1, 0
Let j(q) be the first derivative of -5*q**3/3 - 25*q**2 + 375*q + 2798. Factor j(t).
-5*(t - 5)*(t + 15)
Solve -46/3*w**2 - 28*w + 0 - 2/3*w**3 = 0 for w.
-21, -2, 0
Let f = 1 + -30. Let l = f + 30. Let p(o) = -o**5 - o**3 + o**2 + o - 1. Let a(v) = v**4 + v**3 - v**2 - v + 1. Let i(d) = l*p(d) + a(d). Factor i(s).
-s**4*(s - 1)
Let x(u) be the third derivative of u**8/1848 + 2*u**7/231 + u**6/55 - 43*u**5/165 - 173*u**4/132 - 28*u**3/11 + 2*u**2 + 1105*u. Let x(a) = 0. What is a?
-7, -4, -1, 3
Let b(z) = -15*z**2 - 1778*z + 790325. Let d(m) = -124*m**2 - 14224*m + 6322601. Let q(p) = -33*b(p) + 4*d(p). Determine x so that q(x) = 0.
889
Let j(k) = 6*k + 234. Let t be j(-24). Determine x so that 484*x + 585*x**3 + 158 + 1136*x - 158 + t*x**4 + 5*x**5 + 1620*x**2 = 0.
-6, -3, 0
Let t = -5 - -7. Let z = -39 + 41. Factor -p + 46*p**3 - 24*p**3 - 23*p**3 + z*p**t.
-p*(p - 1)**2
Let f(l) be the second derivative of l**7/231 - 908*l**6/165 + 103511*l**5/55 - 68554*l**4/11 + 68403*l**3/11 + l + 2537. Factor f(k).
2*k*(k - 453)**2*(k - 1)**2/11
Suppose -2*o + 1 = -o. Let w be 3/(-6) + ((-21)/(-6))/o. Determine p, given that 9*p**2 - 16*p**w + 2*p**4 - 8*p**2 + 31*p**2 = 0.
0, 4
Let g(r) be the first derivative of 5*r**6/6 + 20*r**5 + 165*r**4 + 1600*r**3/3 + 640*r**2 + 2609. Determine m, given that g(m) = 0.
-8, -2, 0
Let l(t) be the first derivative of t**3/2 - 177*t**2/4 + 330*t + 476. Find a such that l(a) = 0.
4, 55
Let y = -268 - -343. Suppose 8*z**2 + 3*z - 4*z**5 + y*z**3 - 59*z**3 - 15*z - 8 = 0. What is z?
-1, 1, 2
Let p = -164010 + 164012. Let u be ((-5)/14)/(1/(-40)). Let -u + 40/7*n - 4/7*n**p = 0. Calculate n.
5
Let m = -3655049/1050 - -3481. Let s(r) be the third derivative of 0*r + 0*r**3 - m*r**7 + 3/200*r**6 - 2/25*r**5 + 0 - 4*r**2 + 2/15*r**4. Factor s(a).
-a*(a - 4)**2*(a - 1)/5
Let h(x) be the second derivative of -x**5/30 + 41*x**4/18 - 133*x**3/3 - 147*x**2 - 1875*x. What is z in h(z) = 0?
-1, 21
Suppose -c - 8 + 6 = -2*a, -3*c = -6. Let x = -163/2 + 3129/38. Determine n, given that -4/19*n + 2/19*n**a - x = 0.
-2, 4
Let z(g) be the third derivative of g**5/30 + 503*g**4 + 3036108*g**3 - 2*g**2 + 32*g + 9. Factor z(y).
2*(y + 3018)**2
Let u(j) = j**3 + 11*j**2 - j + 3. Let o be u(0). Let q be 2/o - 80/(-60). Find a, given that -22*a - 38/3*a**q - 6 - 2*a**3 = 0.
-3, -1/3
Let t(k) = k + 1. Let l(g) = 4*g**5 + 180*g**4 + 348*g**3 + 172*g**2 - 8*g - 8. Let c(p) = l(p) + 8*t(p). Factor c(n).
4*n**2*(n + 1)**2*(n + 43)
Let r(c) = 10*c**2 - 11873*c - 2965. Let b(q) = 9*q**2 - 11877*q - 2964. Let u(o) = 2*b(o) - 3*r(o). Factor u(j).
-3*(j - 989)*(4*j + 1)
Let c(z) = z**2 - 20*z + 44. Let t = -67 - -85. Let y be c(t). Factor 13*k + 4*k**2 + 11*k - y - 4*k + 32.
4*(k + 2)*(k + 3)
Let x(d) be the first derivativ