*x + 495684 - 817*x**2 + 623098 - 865*x**2 = 0. Calculate x.
-573
Let c = -59 + 87. Suppose -5 = w, -5*h + 5*w + c = -7. Solve -4*n**2 - 1 - 3*n - 3 - 5*n + 0*n**h = 0 for n.
-1
Suppose -4*j + 2 = -10. Let c = 233727 + -233725. Factor -8/7*m - 2/7*m**c + 8/7*m**j + 2/7.
2*(m - 1)*(m + 1)*(4*m - 1)/7
Let d(t) be the third derivative of t**6/40 - t**5/10 - 7*t**4/8 - 2*t**3 + 5449*t**2. Find a, given that d(a) = 0.
-1, 4
Let o(c) be the third derivative of c**5/90 - 191*c**4/12 - 574*c**3/9 + 15*c**2 - 35*c. Solve o(p) = 0.
-1, 574
Factor -148*h - 324*h - 676 + 100*h**2 - 100*h - 4*h**3.
-4*(h - 13)**2*(h + 1)
Let m be 3 - (2 + 2/(-1)). Suppose 0 = -3*o + 6*o + 2*j - 2, 4*j + 18 = 5*o. Let s**4 + 8*s + 144*s**2 - 73*s**2 - m - 77*s**o = 0. What is s?
-3, 1
Suppose 234*b - 238*b = 104. Let s be (b + 30)/((-40)/(-1 + -3)). Factor -s*t**2 - 8/5 + 2*t.
-2*(t - 4)*(t - 1)/5
Let c be (-7 - -15) + (17875/(-50))/55. Let -11*d**4 + 6*d + 55/2*d**3 - 26*d**2 + c*d**5 + 0 = 0. Calculate d.
0, 1/3, 2, 3
Let k(y) = -2*y**2 - 667*y - 3087. Let z(m) = 35*m**2 + 11340*m + 52525. Let h(u) = -50*k(u) - 3*z(u). Factor h(w).
-5*(w + 5)*(w + 129)
Suppose m + 4*m = i + 11, 4*m - 11 = 3*i. Let h be (1 - 4)*70/(-30). Determine k, given that 18*k - m*k + h*k**3 + 4*k**4 - 19*k**3 = 0.
-1, 0, 2
Let o be (-2 + -4 + 0)*(0 - 1). Let h = 10 - o. Factor 40*g - 4 - 28*g - 3*g**2 - 1 - h.
-3*(g - 3)*(g - 1)
Let u(o) be the first derivative of -11*o - 7 + 2/3*o**3 + 4*o**2 + 1/24*o**4. Let g(i) be the first derivative of u(i). Find w, given that g(w) = 0.
-4
Let x = 1860419357/1344 + -4152746/3. Let a = -23/64 - x. Factor -24/7*l**4 + 3/7*l**5 + 15/7*l + a*l**3 + 0 - 48/7*l**2.
3*l*(l - 5)*(l - 1)**3/7
Find w, given that -128/5*w**3 - 52/15*w**4 - 2/15*w**5 + 0*w - 192/5*w**2 + 0 = 0.
-12, -2, 0
Let n be 157/((-59346)/2100) - 10/(-1). Determine h so that 1/9*h**2 + 400/9 + n*h = 0.
-20
Let z(r) be the third derivative of -r**8/560 + 31*r**7/70 - 577*r**6/20 - 365*r**5/2 - 3713*r**4/8 - 6241*r**3/10 - r**2 + 58*r. Suppose z(n) = 0. Calculate n.
-1, 79
Let v(k) = -3*k**2 + 440*k + 1966. Let u be v(151). Let z(s) be the first derivative of -128/7*s + 16/7*s**2 - 2/21*s**u - 37. Factor z(i).
-2*(i - 8)**2/7
Suppose -438*d = -691*d. Factor d + 1/3*a**3 - 8/3*a - 2/3*a**2.
a*(a - 4)*(a + 2)/3
Let o(j) be the third derivative of 3*j**8/112 + 29*j**7/10 - 487*j**6/40 + 213*j**5/20 + 26*j**4 - 70*j**3 - 940*j**2. Determine x so that o(x) = 0.
-70, -2/3, 1
Let y(u) be the second derivative of -u**8/20160 + u**6/720 + u**5/180 - 13*u**4/6 - 10*u + 1. Let d(b) be the third derivative of y(b). Factor d(h).
-(h - 2)*(h + 1)**2/3
Let p = 374409/5 - 74874. Determine d so that -p*d**2 + 1/5*d**3 + 72*d + 80 = 0.
-1, 20
Let s(o) = -o**5 + 27*o**4 - 213*o**3 + 654*o**2 - 977*o + 558. Let v(w) = -w**3 - 2*w**2 + w + 2. Let j(i) = -5*s(i) + 35*v(i). Factor j(l).
5*(l - 17)*(l - 4)*(l - 2)**3
Let g be 19/38*(-3 - 1/(-1)). Let a be (10/(-12) - g) + 121/66. What is m in -4*m + 16*m**a + 1 - 4 - 15*m**2 + 6 = 0?
1, 3
Let y be (0/(-2))/((-15)/30*(0 - 2)). Suppose -27 = -3*v - 21. Suppose -4/7*j + 16/7*j**v + y = 0. What is j?
0, 1/4
Let d(x) be the third derivative of 5*x**8/336 + x**7/42 - 13*x**6/24 - 25*x**5/12 - 5*x**4/2 + 2637*x**2. Let d(h) = 0. What is h?
-3, -1, 0, 4
Suppose 3*h + 5*j + 9 = 6*h, 0 = -j. Solve -8*o**3 + 5*o + h*o**3 - 3*o**2 + 209*o**4 - 214*o**4 + 8*o**2 = 0.
-1, 0, 1
Let s(y) be the first derivative of -162/13*y + 18/13*y**2 - 2/39*y**3 - 82. Factor s(o).
-2*(o - 9)**2/13
Let f(d) be the first derivative of 27/4*d**4 + 7*d**3 + 1/2*d**6 + 3*d**5 + 0*d - 50 + 3*d**2. Factor f(g).
3*g*(g + 1)**3*(g + 2)
Let d be 2*13/(26/4). Factor 7*v**4 + 5*v - 14 + 24*v**3 - 14 - 11*v**d + 32*v**2 - 29*v.
-4*(v - 7)*(v - 1)*(v + 1)**2
Let r(d) be the second derivative of 0*d**2 + 0*d**3 + 4/3*d**4 + 2/15*d**6 - 2 + d**5 + 3*d. Factor r(s).
4*s**2*(s + 1)*(s + 4)
Let q(x) be the second derivative of -9*x**7/7 + 53*x**6/5 + 346*x**5/5 + 856*x**4/9 + 160*x**3/9 - 48*x**2 + x + 4103. Solve q(w) = 0 for w.
-2, -2/3, 2/9, 9
Suppose -586 = -40*t - 426. Let a(p) be the second derivative of -1/6*p**t + 0 + 0*p**3 + 0*p**2 + 3/10*p**5 + 9*p + 4/15*p**6. Factor a(v).
2*v**2*(v + 1)*(4*v - 1)
Let g(d) be the second derivative of 9*d**6/10 + 411*d**5/20 + 39*d**4 + 14*d**3 - 780*d. Factor g(f).
3*f*(f + 1)*(f + 14)*(9*f + 2)
Let c(p) = -15*p**3 - 320*p**2 - 5110*p - 90. Let g(q) = q**3 - q + 9. Let d(b) = -c(b) - 10*g(b). Factor d(i).
5*i*(i + 32)**2
Let b be (-8)/10 + 1 - (-256)/20. Suppose 3368 = -b*q + 17*q. Find n, given that -2*n**2 - 2*n + 5*n**2 - 843*n**4 + q*n**4 + 0*n**2 = 0.
-2, 0, 1
Let s(v) = 4*v**4 + 3*v**3 + v**2 - 13*v. Let c(i) = -12*i**4 - 8*i**3 - 4*i**2 + 40*i. Let a(n) = -5*c(n) - 16*s(n). Find r, given that a(r) = 0.
-2, -1, 0, 1
Let n(a) be the first derivative of a**5/5 + 17*a**4/3 + 62*a**3/3 + 30*a**2 - 20*a - 23. Let w(u) be the first derivative of n(u). Factor w(z).
4*(z + 1)**2*(z + 15)
Let v(p) be the first derivative of 48 + 10*p - 5/3*p**3 - 5/2*p**2. Let v(z) = 0. What is z?
-2, 1
Let i be 8/10 - 339/1130. Let n(y) be the first derivative of -3/2*y**4 - 3/5*y**5 + 0*y**2 + 3 + 0*y**3 + i*y**6 + 0*y. Let n(c) = 0. What is c?
-1, 0, 2
Let d(z) be the second derivative of -z**5/110 - 29*z**4/11 - 3364*z**3/11 - 63*z**2 - 54*z. Let b(k) be the first derivative of d(k). What is o in b(o) = 0?
-58
Suppose k - 15 = 3*v - 32, 9*k + 18 = 0. Let w(j) be the third derivative of 0 + 5/18*j**4 - 7*j**2 + 4/9*j**3 + 1/90*j**6 + 0*j + 4/45*j**v. Factor w(l).
4*(l + 1)**2*(l + 2)/3
Let r be ((-173)/2)/((-21)/42). Solve -96 + r*d - 328*d - 4*d**2 + 199*d = 0 for d.
3, 8
Let c(v) be the second derivative of -v**5/120 - v**4/24 + v**3/4 + 29*v**2 - 68*v. Let j(g) be the first derivative of c(g). Factor j(a).
-(a - 1)*(a + 3)/2
Let y(v) be the third derivative of -v**7/945 + v**6/180 - v**5/270 - v**4/36 + 2*v**3/27 - 1188*v**2. Determine d so that y(d) = 0.
-1, 1, 2
Suppose 6*p - 14 = -p. Suppose -p*f**2 - 50*f - 40*f + 20 + 84*f = 0. What is f?
-5, 2
Suppose 2*k - 7*k + 15 = 0. Suppose -2619*n = -478*n + 2436*n. What is i in 5/3*i**k + n*i + 10/3*i**2 + 0 = 0?
-2, 0
Let a be 2 - (-18)/(-8) - (-5481)/84. Solve 1 + 69*y**4 - a*y**4 - 1 + y**3 - 10*y**2 - y**5 + 2*y**3 - 8*y = 0.
-1, 0, 2, 4
Let q(l) be the second derivative of -3/8*l**2 + 17/12*l**3 - 11/48*l**4 - 49*l - 2. Solve q(c) = 0.
1/11, 3
Let t(x) be the second derivative of -361*x**6/30 + 3857*x**5/10 + 415*x**4 + 132*x**3 - 10*x - 308. Solve t(y) = 0.
-6/19, 0, 22
Let -421*f + 991*f + 2 - 12012*f**2 + 12047*f**2 - 2 = 0. What is f?
-114/7, 0
Let y(i) be the third derivative of i**8/2016 - i**7/210 + i**6/720 + i**5/15 + i**4/9 - 274*i**2 - 1. Solve y(w) = 0 for w.
-1, 0, 4
Let p(u) be the third derivative of -u**7/315 - 17*u**6/90 - 31*u**5/30 + u**4/9 + 124*u**3/9 - 319*u**2. Find z, given that p(z) = 0.
-31, -2, 1
Let z = 601468 - 601466. Factor 15*q + 3/2*q**z + 27/2.
3*(q + 1)*(q + 9)/2
Suppose -2/5*v**4 - 412/5*v - 408/5*v**2 + 82 + 412/5*v**3 = 0. What is v?
-1, 1, 205
Let n(u) be the first derivative of -58 - 21/2*u - 1/12*u**3 - 23/8*u**2. Find j, given that n(j) = 0.
-21, -2
Let y(f) be the first derivative of -4*f**5/5 + 36*f**4 - 176*f**3 + 256*f**2 + 325. Solve y(i) = 0.
0, 2, 32
Let y(x) = x**5 - 4*x**3 + 2*x**2 - 1. Let w(s) = 3*s**5 - 2*s**4 - 11*s**3 + 14*s**2 - 4. Let o(q) = 3*w(q) - 12*y(q). Find d, given that o(d) = 0.
-3, -1, 0, 2
Let w(x) = -x**3 + 5*x**2 + 13*x + 9. Let j be w(7). Factor 20*i - 9*i**2 - 8*i + j*i**3 - 4*i + 4*i + 23*i**2.
2*i*(i + 1)*(i + 6)
Suppose 2*w - 46*q + 49*q = 9, -2*w = 2*q - 8. Let f(d) be the first derivative of -12 + 1/8*d**2 + 1/6*d**w + 0*d + 1/16*d**4. Let f(j) = 0. Calculate j.
-1, 0
Let s(i) = -i**2 - 16*i - 45. Let r be s(-12). Determine t so that -103 + 507*t**2 + 1420*t + 806 + 66*t**r + 1025 + 164*t + 3*t**4 = 0.
-8, -3
Let d(j) = 2*j**2 + 28*j + 102. Let o be d(-8). Let y be ((9/(-18))/1)/((-2)/8). Factor 4*w + 9/4*w**3 + 0 - o*w**y - 1/4*w**4.
-w*(w - 4)**2*(w - 1)/4
Let q(p) = -p - 7. Let v be q(-7). Let d be 2/6 + (v - (-42)/9). Factor -3*w**2 + 3*w**4 - 5*w**2 + d*w**2 + 4*w + w**5 - 3*w**3 - 2*w**3.
w*(w - 1)**2*(w + 1)*(w + 4)
Suppose 10206*g**2 + 7038/7*g**3 + 9