lve w(n) = 0.
-6, 2/3
Suppose -5*y = -n - 3, -4*n + 0 = -4*y - 4. Suppose -3*s - 3*h = -12, -4*h + 3 = n*s - 7. Factor 5*q**4 - 7*q**4 + 22*q**s - 20*q**3.
-2*q**3*(q - 1)
Factor -1/6*b**3 - 3/2*b + 4/3*b**2 - 3.
-(b - 6)*(b - 3)*(b + 1)/6
Let l be -1 + 5 + (-1 + 2)/(-1). Suppose 0 = -4*n + 1 + 11, -5*t - l*n = -59. Find v, given that 70*v**2 - 23*v**4 + 80*v + 3*v**4 - 5*v**5 + t*v**2 = 0.
-2, 0, 2
Suppose 5*p + 12*z - 8*z + 2381 = 0, 2*z - 1411 = 3*p. Let k = -470 - p. Find d, given that 0*d + 4/3*d**2 - 22/3*d**k + 0 - 8/3*d**5 + 26/3*d**4 = 0.
0, 1/4, 1, 2
Let w be 40/70 - (-6)/14. Suppose -d = -w - 2. Find h, given that -4*h**2 - 2*h - 2*h**4 + 6 + 5*h**4 + 5*h - 3*h**d - 5*h**2 = 0.
-1, 1, 2
Suppose -10*p + 109 = -11. Suppose -p*w + 80 = 8*w. Factor 2*k + w*k**3 + 2/5 + 4*k**2 + 2*k**4 + 2/5*k**5.
2*(k + 1)**5/5
Let d(a) = 15 - 2 - 8 - 4. Let f(j) = j**2 + 10*j + 1. Let n(z) = d(z) - f(z). Determine m, given that n(m) = 0.
-10, 0
Let w(m) be the third derivative of m**6/120 - 23*m**5/30 - 3*m**4/8 + 69*m**3 - m**2 + 329*m - 1. Factor w(f).
(f - 46)*(f - 3)*(f + 3)
Suppose -3/2*g**5 + 60*g - 81/2*g**3 + 3*g**2 + 0 + 15*g**4 = 0. What is g?
-1, 0, 2, 4, 5
Let n(a) = -8*a**2 - 940*a + 969. Let m(b) = -4*b**2 - 468*b + 484. Let y(g) = -7*m(g) + 4*n(g). Solve y(w) = 0.
-122, 1
Suppose -c - 2 = a, -4*c + 2 = -c + a. Suppose -o = -c - 0. Suppose x - 12 + x**2 - 7*x + 4*x**3 + 11*x**2 + o*x = 0. What is x?
-3, -1, 1
Let g(z) be the third derivative of 0*z + 23 - 7/48*z**4 - 6*z**2 + 1/480*z**5 + 0*z**3. Factor g(h).
h*(h - 28)/8
Let m(p) = 48*p**2 - 24*p + 20. Suppose -4*v = -52 - 12. Let k be m(v). Find u such that -k*u**3 - u**4 + 11904*u**3 - 8*u**2 + 13*u**4 = 0.
-1/3, 0, 2
Let o = -3089 + 1019. Let f = o + 8285/4. Find k such that 0 + 5/2*k - f*k**5 - 15/4*k**4 + 15/4*k**2 - 5/4*k**3 = 0.
-2, -1, 0, 1
Let x = -68/145 - -1192/1305. Determine r so that x*r**2 + 16/9 + 16/9*r = 0.
-2
Let r = -62 - -62. Find o such that -6*o**4 - 4*o + 83*o**3 + 6*o**2 + 2*o**5 + 80*o**3 + r*o**5 - 161*o**3 = 0.
-1, 0, 1, 2
Let j = 96372 - 1252828/13. Factor 8/13*i - j*i**3 + 0 + 30/13*i**2.
-2*i*(i - 4)*(4*i + 1)/13
Let r(m) be the third derivative of m**7/1575 + 149*m**6/450 + 10946*m**5/225 - 790*m**4/3 - 4000*m**3 + 7048*m**2. Let r(l) = 0. Calculate l.
-150, -2, 4
Factor 14*u + 140/3*u**2 - 92/3 + 2*u**3.
2*(u + 1)*(u + 23)*(3*u - 2)/3
Find m such that -1204/13 + 158/13*m + 2/13*m**2 = 0.
-86, 7
Let o = 27607/1340 - 6818/335. Factor -2*r + 0 + 1/2*r**2 + 5/4*r**3 + o*r**4.
r*(r - 1)*(r + 2)*(r + 4)/4
Let k be (2 - 26)*11/(-33) + -5. Determine u, given that -38*u + 38*u + 2*u**k + 2*u**3 = 0.
0
Let p be (-4 + 1)/(121 - 122). Let z(y) be the second derivative of 1/30*y**4 + 0 + 8/15*y**p + 7/5*y**2 + 3*y. Factor z(r).
2*(r + 1)*(r + 7)/5
Let w(y) be the first derivative of 3*y**4/4 + y**3/3 - y**2/2 + y + 90. Let z(j) = 8*j**4 + 18*j**3 + 2*j**2 - 4*j + 4. Let b(p) = -4*w(p) + z(p). Factor b(f).
2*f**2*(f + 1)*(4*f - 1)
Find q, given that -3*q**4 - 52*q - 34*q**2 + 2*q**4 + 28*q**2 + 17*q**3 - 33 - 5*q**3 = 0.
-1, 3, 11
Suppose 436 - 177 = 127*h + 5. Solve -160/7*l**3 + 162/7*l - 2/7*l**5 - 36/7*l**4 + 36/7*l**h + 0 = 0 for l.
-9, -1, 0, 1
Let b(k) = -k**2 + 2*k + 1. Let v(q) = 3*q**4 - 66*q**3 + 375*q**2 - 300*q + 12. Let d(l) = 12*b(l) - v(l). Suppose d(w) = 0. What is w?
0, 1, 9, 12
Suppose -48/17 - 2/17*j**2 - 28/17*j = 0. What is j?
-12, -2
Let l be ((-18 + (-39804)/(-2170))*7/3)/((-2)/(-288)). Factor 2/5*d**3 + l + 52/5*d**2 + 384/5*d.
2*(d + 2)*(d + 12)**2/5
Let k(w) be the second derivative of 101*w + 1/3*w**3 - 1/12*w**4 + 3/2*w**2 + 0. Factor k(y).
-(y - 3)*(y + 1)
Factor -26/7*m**2 - 96/7*m - 72/7 - 2/7*m**3.
-2*(m + 1)*(m + 6)**2/7
Find f such that 2402*f**2 + 98*f**2 + 395*f**3 - 1445*f**3 - 2*f**5 - 96*f**4 = 0.
-25, 0, 2
Let m = -704683 + 704687. Find h such that 24/5*h**3 + 18/5*h**2 - 21/5 + 3/5*h**m - 24/5*h = 0.
-7, -1, 1
Let u(o) be the third derivative of -o**7/15 + 163*o**6/60 + 99*o**5/10 + 77*o**4/12 - 50*o**3/3 + o**2 + 167*o. Suppose u(y) = 0. Calculate y.
-1, 2/7, 25
Let g(l) = 2*l**2 + l + 3. Let q(o) = 40*o**2 - 2983*o + 3069. Let y(k) = 42*g(k) - 2*q(k). Solve y(b) = 0 for b.
-1503, 1
Let -6*r - 378*r**2 - 168*r + 123*r**2 + 1184 + 3*r**3 - 401 - 357*r = 0. What is r?
-3, 1, 87
Suppose -t + 15 - 1 = 0. Suppose 46*x - 13 + 2 + 2*x**4 + 10*x**2 + t*x**3 - 1 - 60*x = 0. What is x?
-6, -1, 1
Let m(z) be the third derivative of -z**5/210 + 10*z**4/21 - 25*z**3/3 + 174*z**2. What is g in m(g) = 0?
5, 35
Factor -758/5*v**3 + 4/5 - 150*v**2 - 254/5*v**4 - 242/5*v.
-2*(v + 1)**3*(127*v - 2)/5
Factor 37*k**3 + 182*k**3 + 425*k**3 - 16*k**4 - 160*k**2.
-4*k**2*(k - 40)*(4*k - 1)
Let w(r) be the third derivative of r**5/15 + 799*r**4/3 + 1276802*r**3/3 + 3893*r**2. Factor w(g).
4*(g + 799)**2
Let s(j) be the second derivative of 1/72*j**4 + 0 - 1/2*j**2 + 1/36*j**3 - 18*j. Determine c, given that s(c) = 0.
-3, 2
Let p(f) = -2*f**2 - f. Let x(h) = -10*h**2 - 90*h + 82. Let s(d) = -6*p(d) + x(d). Solve s(c) = 0 for c.
1, 41
Let f = -6/342257 + 1369046/1026771. Solve -2/3*o**2 + 16 - f*o = 0.
-6, 4
Let o(t) be the third derivative of -13/20*t**5 + 0*t + 5*t**2 + 8 - 2*t**3 - 1/210*t**7 + 1/8*t**6 + 37/24*t**4. Let o(x) = 0. Calculate x.
1, 12
Let w = 765246 - 765244. Solve 4 - 26/7*j**3 - 204/7*j**w - 150/7*j = 0.
-7, -1, 2/13
Let g(o) = 40*o**2 - 352*o - 123. Let b(n) = 19*n**2 - 183*n - 62. Let q(p) = -9*b(p) + 4*g(p). Factor q(x).
-(x - 22)*(11*x + 3)
Let n(h) be the first derivative of -h**5/10 - 63*h**4/8 - 3518. Suppose n(w) = 0. Calculate w.
-63, 0
Let p(i) be the third derivative of -i**5/90 - 32*i**4/9 + 131*i**3/3 + 2487*i**2. Solve p(s) = 0.
-131, 3
Let s be 225/60 - (3/4 + 0). Let -8 - 95*n**2 - 3*n**3 - 38*n + 8 + 78*n**2 + 4*n**s = 0. What is n?
-2, 0, 19
Let h(q) be the second derivative of q**6/360 + 7*q**5/120 - q**4/3 - 5*q**3/3 + q**2 + 45*q. Let r(s) be the second derivative of h(s). Factor r(a).
(a - 1)*(a + 8)
Suppose -15/4*k**3 + 15/4*k - 7/2 + 1/4*k**4 + 13/4*k**2 = 0. Calculate k.
-1, 1, 14
Suppose 40 = a + 4*a - v, -4*a = -4*v - 16. Let 27*g**2 + 18*g**4 - 21*g**4 + 27*g**3 + a*g - 3*g - 9*g**5 = 0. Calculate g.
-1, -1/3, 0, 2
Let s be 5*-1*(3 - 4). Let g be (-2)/11 - (-2196)/99. Determine z, given that s - 3*z**3 - g + 5 + 9*z**2 = 0.
-1, 2
Suppose -17*r + 13*r = -276. Let w = r - 206/3. Factor -8/3 - 2*x - w*x**2.
-(x + 2)*(x + 4)/3
Let w(n) = -n**2 + 18*n - 14. Let h be w(17). Find k, given that 3*k**h - k**2 + 0*k + 7/4*k**4 + 0 = 0.
-2, 0, 2/7
Find l, given that -140 - 415/3*l + 5/3*l**2 = 0.
-1, 84
Let k(z) be the second derivative of 32*z**7/21 + 848*z**6/5 + 23633*z**5/5 - 65848*z**4/3 + 18942*z**3 - 6724*z**2 + 2025*z. Find a such that k(a) = 0.
-41, 1/4, 2
Suppose -90/19*k**4 - 74/19*k**3 - 80/19*k + 244/19*k**2 + 0 = 0. Calculate k.
-20/9, 0, 2/5, 1
Let h(d) = -43*d**3 - 11*d**2 + 40*d - 25. Let f(m) = -14*m**3 + 3*m**2 - m - 1. Let c(i) = 12*f(i) - 4*h(i). Factor c(t).
4*(t - 1)**2*(t + 22)
Let i be ((-450)/(-2775))/(16/148). Suppose i*g**2 + 1/2*g**3 + 0*g + 0 = 0. What is g?
-3, 0
Let y(b) = b**2 + 6*b - 28. Let v be y(-9). Let z be 0 - 1*v - (31 - 32). Find c such that 3*c**3 - c + 2*c**4 + 457*c**5 - 458*c**5 - 9*c**z + 5*c + c**2 = 0.
-2, 0, 1, 2
Let y(g) = 5*g**3 + 67*g**2 - 94*g - 156. Let r(t) = 9*t**3 + 136*t**2 - 185*t - 312. Let c(x) = -6*r(x) + 11*y(x). Factor c(q).
(q - 78)*(q - 2)*(q + 1)
Let b(q) be the third derivative of -q**5/40 + 24*q**4 + 385*q**3/4 - 551*q**2. Let b(v) = 0. Calculate v.
-1, 385
Find o, given that -16340*o - 5*o**3 + 8106*o + 55*o**2 + 8084*o = 0.
0, 5, 6
Suppose -13*w + 4 = -11*w. Suppose -4*q + 514 = j, 151 - 534 = -3*q - w*j. Factor -132*a**2 + 12*a + q*a**2 + 3 - 15.
-3*(a - 2)**2
Let g(s) be the first derivative of -2*s**3/45 + s**2 - 24*s/5 + 2197. Factor g(p).
-2*(p - 12)*(p - 3)/15
Suppose -301*p + 348*p - 94 = 0. Let -8/3*r + 4/3*r**p + 0 + 1/6*r**4 + 7/6*r**3 = 0. What is r?
-4, 0, 1
Let l(u) be the first derivative of u**6/40 + 41*u**5/60 + 13*u**4/12 + 47*u**2/2 + 180. Let r(m) be the second derivative of l(m). Let r(v) = 0. What is v?
-13, -2/3, 0
Suppose 4*d = -n + 139, 2*n = 4*d - 32 - 110. Suppose 13*i + 146 - 5*i**3 + d*i**2 - 83*i - 106 = 0. What 