d(z) = 0.
2, 7
Suppose -3*q - 11 = 4*z, 4*q - 18*z + 13*z - 37 = 0. Find x such that -7/3*x**4 + 0*x + 1/3*x**5 + 4*x**2 + 4/3*x**q + 0 = 0.
-1, 0, 2, 6
Let y(r) = 4*r**3 - 13*r**2 + 21*r - 92. Let d(h) = h**3 + h**2. Let x(w) = 3*d(w) - y(w). Let u be x(15). Suppose -2/17*z**u + 0 + 4/17*z = 0. Calculate z.
0, 2
Let j be (144/(-224))/((-228)/266). Let -1/8*d**3 + 0 + j*d + 5/8*d**2 = 0. Calculate d.
-1, 0, 6
Let v(n) be the second derivative of 0*n**2 + 0*n**3 + 23*n + 0 + 1/5*n**5 - 3*n**4. What is g in v(g) = 0?
0, 9
Suppose -92*w = 51*w - 715. Let s(z) be the third derivative of 13*z**2 - 7/100*z**w + 1/2*z**4 + 0*z - 9/200*z**6 - 2/5*z**3 + 0. Factor s(x).
-3*(x - 1)*(x + 2)*(9*x - 2)/5
Suppose 3*i + 9 = -3*j, 2*i = -j + 3*i - 13. Let h be (2/j)/(2/(-16)). Solve -753*g**2 - 2*g**5 + 2*g**3 + 755*g**h - 2*g**4 - g**4 + g**4 = 0.
-1, 0, 1
Let k(a) = -5*a**2 + 23*a - 12. Suppose -151 = 5*d - 166. Let o(g) = -g - 1. Let x(i) = d*o(i) + k(i). Let x(q) = 0. What is q?
1, 3
Let o = 4042/7 + -12098/21. Find d such that 0 - 4/3*d + o*d**3 + 4/3*d**4 - 4/3*d**2 = 0.
-1, 0, 1
Suppose 26*f = 3813 - 3683. Let y(n) be the second derivative of -1/36*n**3 + 0*n**2 + 1/120*n**f - 1/180*n**6 - 21*n + 0 + 1/72*n**4. Factor y(p).
-p*(p - 1)**2*(p + 1)/6
Suppose -2*o - 75 = -59. Let s be o/320*4 + (-20)/(-75). Find t, given that -1/6*t**4 + 5/6*t**2 + 1/2*t**3 + 0 - s*t**5 + 1/3*t = 0.
-1, 0, 2
Suppose 23*v + 1600 = 15*v. Let b = v - -1004/5. Factor 0*a + a**3 + 1/5*a**2 + 8/5*a**4 + b*a**5 + 0.
a**2*(a + 1)*(2*a + 1)**2/5
Let t(d) = 3*d**2 - 338*d + 248. Let j be t(112). Let a(l) be the second derivative of 27/4*l**4 + 0 - 20*l + 21/40*l**5 - j*l**2 + 24*l**3. Factor a(n).
3*(n + 4)**2*(7*n - 2)/2
Suppose -29*v - 5*q = -26*v + 1182, -3*v = -3*q + 1206. Let d = 401 + v. Factor 18/7*n**3 - 36/7*n**d + 24/7*n - 3/7*n**4 + 0.
-3*n*(n - 2)**3/7
Let u = 4807/17070 - 17/1138. Let q(p) be the first derivative of 1/5*p - u*p**3 + 22 - 3/10*p**2. What is a in q(a) = 0?
-1, 1/4
Determine s, given that -116 + 109*s - 192*s - 20*s**3 + 19*s**3 + 32*s**2 = 0.
-1, 4, 29
Factor 2/5*t**2 - 968/5 - 234/5*t.
2*(t - 121)*(t + 4)/5
Let v(o) be the first derivative of 144*o - 60*o**2 - 96 + 25/3*o**3. Factor v(m).
(5*m - 12)**2
Let -808*c**2 - 238 - c**3 - 3*c**3 - 3430 + 1196 + 3284*c = 0. What is c?
-206, 1, 3
Let u = 14173/22 - 206611/330. Factor 9248/15 + 2/15*n**2 + u*n.
2*(n + 68)**2/15
Let m(q) be the first derivative of 13*q**4/30 - 2*q**3/15 - 11*q**2/5 + 46*q/15 - 1331. Suppose m(v) = 0. What is v?
-23/13, 1
Let o(s) be the third derivative of -s**5/30 + 118*s**4/3 - 55696*s**3/3 - 1484*s**2. Let o(l) = 0. What is l?
236
Let w(l) be the first derivative of l**7/2100 - l**6/150 - l**5/300 + l**4/10 + 8*l**3 + 84. Let m(d) be the third derivative of w(d). Factor m(n).
2*(n - 6)*(n - 1)*(n + 1)/5
Let z(p) be the second derivative of p**6/45 - p**5/3 + 25*p**4/18 + 40*p + 3. Let z(q) = 0. What is q?
0, 5
Let u(i) be the second derivative of -8 + 1/21*i**7 + 0*i**6 + i**3 + 2*i**2 - i - 1/3*i**4 - 2/5*i**5. Determine r so that u(r) = 0.
-1, 1, 2
Let f be (-2 + -40 - -47) + -1 + 46/2. Let w(v) be the first derivative of 3/10*v**4 - f + 6/25*v**5 - 12/5*v**2 - 8/5*v**3 + 0*v. Suppose w(g) = 0. What is g?
-2, -1, 0, 2
Let i(q) = 32*q**2 - 2472*q - 4886. Let c(j) = 6*j**2 + 7. Let k(t) = 6*c(t) - i(t). Factor k(b).
4*(b + 2)*(b + 616)
Let i(a) be the first derivative of 0*a + 1/4*a**5 - 37 - 1/3*a**3 + 1/24*a**6 + 3/8*a**4 - a**2. Factor i(g).
g*(g - 1)*(g + 2)**3/4
Suppose -3*n + 10 = b, -n - 7*b = -10*b - 20. Let w(v) be the third derivative of -2/5*v**3 + 0 + 1/5*v**4 + 1/20*v**5 + 0*v + n*v**2. Factor w(x).
3*(x + 2)*(5*x - 2)/5
Let p(z) = 11*z - 61. Let d be p(6). Let v(q) = -q**3 + q**2 + q - 1. Let g be v(1). Factor 10 - 22*i + d*i**3 + 7*i + g*i.
5*(i - 1)**2*(i + 2)
Suppose 10357 - 64*n + 2*n**2 + 2*n**2 - 10425 = 0. Calculate n.
-1, 17
Let b(t) = -2*t**3 - 21*t**2 + 7*t - 19. Let x be b(-11). Let g(u) be the third derivative of 0 - 2/3*u**3 + x*u**2 - 1/30*u**5 + 1/4*u**4 + 0*u. Factor g(a).
-2*(a - 2)*(a - 1)
What is u in -1/4*u**4 - 21/2*u**2 - 10 - 11/4*u**3 - 17*u = 0?
-5, -2
Let x = 122 - 120. Factor -4*q**2 - 4568*q**3 + 16*q**x + 4582*q**3 + 0*q**2.
2*q**2*(7*q + 6)
Let v(y) be the third derivative of 0 - 7*y**2 - 1/42*y**4 + 0*y - 1/70*y**5 + 1/735*y**7 + 0*y**3 + 0*y**6. Find t, given that v(t) = 0.
-1, 0, 2
Let o = 16/3369 - 3840772/23583. Let q = -4553/28 - o. Suppose 1/2 - q*n**2 + 3/4*n**3 - 3/4*n - 1/4*n**4 = 0. What is n?
-1, 1, 2
Suppose -124*h - 448*h + 1144 = 0. Find r, given that 2/9*r**3 + 4/9*r**h - 4/3 - 10/9*r = 0.
-3, -1, 2
Factor -3/7*n**3 + 0 - 2193/7*n**2 + 2196/7*n.
-3*n*(n - 1)*(n + 732)/7
Let g = -255 - -267. Suppose -3*v = a + 9, g*a = 16*a - v - 3. Factor a*j - 2/11*j**2 + 0.
-2*j**2/11
Determine u, given that 2/9*u**3 + 2/9*u**5 + 28/9*u**2 - 40/9*u - 8/9*u**4 + 16/9 = 0.
-2, 1, 2
Let q = 324 + -325. Let u be (-60)/(-16) + -4 - q/2. Let 1/4*l**2 - 1/4*l**4 + 0 + u*l**3 - 1/4*l = 0. Calculate l.
-1, 0, 1
Suppose -8253 = -2*s + o, 5*s + 4*o - 14104 = 6535. Solve s*f**2 - 4131*f**2 - 14*f**4 - 16*f**3 - 2*f**4 = 0.
-1/2, 0
Let m be (((-57)/42 - 1) + (-1230)/(-1435))*-2. Factor 3*v + 3/4*v**2 + m.
3*(v + 2)**2/4
Let k(y) be the second derivative of -y**7/14 - 2*y**6/5 + 3*y**5/20 + y**4 + 305*y + 8. Find o such that k(o) = 0.
-4, -1, 0, 1
Let y be 4050/162*(1350/(-26) - 2). Let x = y - -1349. What is s in -14/13*s - 2/13*s**2 - x = 0?
-6, -1
Determine s so that 400*s**3 - 56*s**5 + 16*s - 1340*s**2 + 1088*s**2 + 3 - 108*s**4 - 1 - 2 = 0.
-4, 0, 1/14, 1
Let n be (8/(-30))/((-18)/15). Let z be -8*((0 - 29/148) + (-342)/6327). Factor 2/3*t - n*t**z - 4/9.
-2*(t - 2)*(t - 1)/9
Let q(m) be the first derivative of 4*m**6/15 - m**5/5 - m**4/3 + 76*m + 41. Let f(i) be the first derivative of q(i). Factor f(z).
4*z**2*(z - 1)*(2*z + 1)
Let b = 415845/7076 - 65/3538. Factor -60*u - 5/4*u**2 - b.
-5*(u + 1)*(u + 47)/4
Let u(p) be the third derivative of p**7/3780 - p**6/120 - 5*p**4/24 - p**3/6 - 9*p**2 - 4. Let k(i) be the second derivative of u(i). Factor k(y).
2*y*(y - 9)/3
Let s(m) be the third derivative of 0*m + 0 + 1/12*m**4 - 6/11*m**3 + 1/1155*m**7 - 64*m**2 - 1/60*m**6 + 17/330*m**5. Determine h so that s(h) = 0.
-1, 1, 2, 9
Let w(u) be the first derivative of 3*u**4/10 + 74*u**3/15 - 68*u**2/5 + 56*u/5 + 1106. Let w(g) = 0. What is g?
-14, 2/3, 1
Let i(j) be the second derivative of 0*j**4 + 0*j**3 + 1/150*j**5 + 2*j + 4 + 0*j**2. Determine a, given that i(a) = 0.
0
Determine b, given that -7*b**3 + 5*b**3 - 124*b**2 - 7368*b - 15360 + 4936*b = 0.
-30, -16
Let t(f) = 13*f - 24*f + 2*f**2 + 0*f**3 + 36 + 5*f**2 - 12*f - f**3. Let r be t(3). Factor -5/3*h**2 - 4/3 - 1/3*h**r - 8/3*h.
-(h + 1)*(h + 2)**2/3
Suppose 5*m - 21 = -z, -2*z - 68 = -5*m - 65. Factor 15/2 + 3/2*w**4 + 6*w**3 - z*w - 9*w**2.
3*(w - 1)**2*(w + 1)*(w + 5)/2
Let y(a) be the first derivative of -a**5/15 - 7*a**4/6 + 12*a**3 - 75*a**2/2 + 13. Let k(p) be the second derivative of y(p). Factor k(h).
-4*(h - 2)*(h + 9)
Let i(y) be the second derivative of y**8/448 + 5*y**7/504 + y**6/72 + y**4/4 + 10*y**2 + 26*y. Let n(h) be the third derivative of i(h). Factor n(u).
5*u*(u + 1)*(3*u + 2)
Let f(x) = -34*x + 1329. Let r be f(39). Let l(i) be the first derivative of -3/4*i**4 + 12 + 0*i**2 + 0*i**r + 0*i. Find b such that l(b) = 0.
0
Solve -26/5 - 41/5*a + 1/5*a**4 - 3/5*a**2 + 13/5*a**3 = 0.
-13, -1, 2
Let d(j) be the second derivative of j**4/12 + 173*j**3/6 + 255*j**2 - 4351*j - 2. Factor d(u).
(u + 3)*(u + 170)
Let w(p) be the first derivative of p**3/3 - 13*p**2/2 - 14*p - 47. Let f be w(14). Find t such that 4/9*t**2 - 2/9*t**5 + f*t**3 + 2/9*t - 4/9*t**4 + 0 = 0.
-1, 0, 1
Let k = 457 + -453. Determine a, given that 2*a**2 - 1649*a**3 + a**k + 3 + 1647*a**3 + 2*a - 6*a**2 = 0.
-1, 1, 3
Let x(y) be the first derivative of y**3 + 114*y + 63/2*y**2 + 119. Factor x(p).
3*(p + 2)*(p + 19)
Let y(m) = m**2 - 3*m - 15. Let x be y(6). Factor -2*z**x - 4*z**4 + 7*z**2 - 947*z**5 - 3*z**2 + 949*z**5.
2*z**2*(z - 2)*(z - 1)*(z + 1)
Let m be (-15)/(-63)*(-20)/(-30)*63/70. Determine q, given that -m*q**2 - 1600/7 - 80/7*q = 0.
-40
Let l(d) be the third derivative of 0 - 35/3*d**3 + 