*4 + 215*j**3 - 141*j**2 = 0. What is j?
-5, -2, -1
Let m be (-2 + 14*1 + (-717 - -725))*73. What is g in -5/2*g**5 - 2240*g + 55*g**4 + m*g**2 + 1280 - 430*g**3 = 0?
2, 8
Suppose -13/4*b**4 - 7/2*b**3 + 9/4 + 29*b**2 + 63/2*b = 0. What is b?
-3, -1, -1/13, 3
Let b(h) be the second derivative of h**8/84 - 2*h**7/35 - h**6/30 + h**5/5 + 16*h**2 + 83*h. Let f(c) be the first derivative of b(c). Factor f(i).
4*i**2*(i - 3)*(i - 1)*(i + 1)
Let n(k) be the second derivative of -k**4/3 + 214*k**3 - 1276*k**2 - 4415*k. Factor n(h).
-4*(h - 319)*(h - 2)
Let j(u) be the third derivative of u**6/20 - 337*u**5/20 + 1785*u**4 - 3528*u**3 + 2*u**2 - 1265*u - 1. Factor j(b).
3*(b - 84)**2*(2*b - 1)
Suppose 0 = -3*c + 15, m = -5*c + 668 - 43. Let o = m - 2391/4. What is a in -o - 3/2*a + 3/4*a**2 = 0?
-1, 3
Let q(d) be the third derivative of 0 + 6/5*d**3 + 13/40*d**4 + 0*d + 1/100*d**5 + 154*d**2. Let q(s) = 0. Calculate s.
-12, -1
Let t(g) = -g**2 - 11*g - 12. Let w be t(-9). Let j be (w/(-10))/(3/(-15)). Solve 0*x**3 + x**3 + 4*x**3 - x**j + 2*x**4 = 0 for x.
-2, 0
Let s(n) = 2*n**3 - 10*n**2 + 2*n + 1. Let a be s(5). Let j = a - -6. Determine t, given that 12*t**4 - 25*t**3 + j*t**3 + 16*t**3 = 0.
-2/3, 0
Let t(g) be the first derivative of 0*g - 19/12*g**2 + 1/18*g**3 - 83. Factor t(y).
y*(y - 19)/6
Suppose g = 0, 2*g = -2*m + 15 - 1. Let p(j) = 4*j**2 + 20*j - 48. Let s(h) = -12*h**2 - 62*h + 144. Let u(y) = m*p(y) + 2*s(y). Factor u(b).
4*(b - 2)*(b + 6)
Find t such that 1220 - 194 - 1533*t + 3*t**3 + 6760*t**2 - 6256*t**2 = 0.
-171, 1, 2
Let s be 5/3 - 3/3. Suppose 0 = -3*f - 199986 + 199986. Find l, given that s*l + f - 1/3*l**3 - 1/3*l**2 = 0.
-2, 0, 1
Let l(q) be the first derivative of q**3/5 + 105*q**2/2 - 162. Factor l(i).
3*i*(i + 175)/5
Suppose 1 = 2*v + 4*y - 7, -v + 8 = -2*y. Suppose -431 = -v*l - 419. Factor 3/2 + u + 1/6*u**l.
(u + 3)**2/6
Suppose -30*t + 17190 = -2700. Let k = 663 - t. Let 0*d + 0 + 0*d**3 - 1/2*d**5 + k*d**4 + 0*d**2 = 0. Calculate d.
0
Let d(g) be the second derivative of g**6/20 - 33*g**5/40 + 31*g**4/8 - 21*g**3/4 + 1328*g. Factor d(f).
3*f*(f - 7)*(f - 3)*(f - 1)/2
Let s = -208153 - -208156. Factor -2/5*r - 1/5*r**2 + 1/5*r**s + 0.
r*(r - 2)*(r + 1)/5
Let n(c) be the second derivative of 1/170*c**5 - 1/255*c**6 + 0*c**2 - 2 + 16*c + 5/102*c**4 + 1/17*c**3. Solve n(l) = 0 for l.
-1, 0, 3
Let h(d) = 52747*d + 263737. Let y be h(-5). Find f, given that 0 + 93/4*f**y + 27/4*f**4 + 111/4*f**3 + 9/4*f = 0.
-3, -1, -1/9, 0
Let h(y) be the third derivative of 306*y**2 + 0*y**3 - 1/105*y**7 + 0*y**6 - 1/24*y**4 + 1/336*y**8 + 0 + 0*y + 1/30*y**5. Factor h(j).
j*(j - 1)**3*(j + 1)
Let v = 626 + -654. Let n be 272/v + 10 + 38/14. Factor 0*t - 2/3*t**n - 2/3*t**2 + 0.
-2*t**2*(t + 1)/3
Suppose 5*y - 5*a = 25, -y - 5*a - 258 = -233. Let r(d) be the second derivative of -3*d + 1/10*d**4 - 2/5*d**3 + y + 0*d**2. Factor r(h).
6*h*(h - 2)/5
Solve -22671*i**3 + 10*i**2 + 175*i - 22672*i**3 + 45338*i**3 = 0 for i.
-5, 0, 7
Let g(c) be the third derivative of -c**7/84 - c**6/4 - 13*c**5/8 - 35*c**4/12 + 964*c**2 - 1. Determine m, given that g(m) = 0.
-7, -4, -1, 0
Let 23/6*f**2 - f - 7/6*f**3 + 0 = 0. Calculate f.
0, 2/7, 3
Let i(w) be the first derivative of 4/3*w**3 + w**4 + 19 - 15*w + 0*w**2 + 1/5*w**5. Let r(v) be the first derivative of i(v). Factor r(b).
4*b*(b + 1)*(b + 2)
Let z(j) = 0*j - 20002 + 6*j + 20115. Let c be z(-18). Let -4/3*y**4 + 2/3*y**c - 4/3*y**3 + 8/3*y**2 + 2/3*y - 4/3 = 0. What is y?
-1, 1, 2
Suppose -3*h = -h - 134. Suppose -h*c = -71*c + 16. Factor 5*p**3 + 349*p**2 + 7*p**3 - 365*p**2 + c*p**5 - 16*p + 16*p**4.
4*p*(p - 1)*(p + 1)*(p + 2)**2
Find u such that -34/3*u**3 + 472/21*u + 2/21*u**4 + 232/21*u**2 + 0 = 0.
-1, 0, 2, 118
Factor -21*r**3 - 704 - 23*r**2 + 838*r - 342*r + 17*r**3 - 41*r**2.
-4*(r - 4)*(r - 2)*(r + 22)
Let j be 5/(-12)*(-4896)/1020. Factor 0*a - 3/4*a**j + 1/4*a**3 + 0.
a**2*(a - 3)/4
Let r(x) be the first derivative of x**3/12 + 2329*x**2/4 + 5424241*x/4 + 4788. Determine i so that r(i) = 0.
-2329
Determine y so that -8019/2*y - 8748 - 3/2*y**4 - 1377/2*y**2 - 105/2*y**3 = 0.
-9, -8
Let n(v) be the second derivative of 0*v**2 - 10/9*v**3 - 1/2*v**5 - 28*v + 5/4*v**4 + 1/18*v**6 - 3. Factor n(s).
5*s*(s - 4)*(s - 1)**2/3
Let s be (-456)/57 + 26/(1 - -1). Let w(f) be the first derivative of -2*f + 14/3*f**3 - f**2 + 13 + 1/2*f**4 - 12/5*f**s. Suppose w(l) = 0. What is l?
-1, -1/3, 1/2, 1
Factor -7*c**2 - 3885132 + 3*c**2 - 2*c**2 + 3*c**2 + 0*c**2 + 6828*c.
-3*(c - 1138)**2
Let i(b) = -6*b**2 + 146*b + 456. Let z(m) = -14*m**2 + 292*m + 912. Let q(c) = -5*i(c) + 2*z(c). Factor q(u).
2*(u - 76)*(u + 3)
Let z(n) be the first derivative of n**5/15 + n**4/4 - 19*n**3/9 - n**2/2 + 6*n - 1436. Let z(v) = 0. Calculate v.
-6, -1, 1, 3
Suppose -196*a + 180*a = 0. Let u(c) be the second derivative of 0 + a*c**2 - 3/80*c**5 + 12*c + 1/8*c**3 + 0*c**4. Suppose u(h) = 0. Calculate h.
-1, 0, 1
Let y be (4 - 0)*40/(5 - 3). Determine b, given that b**3 + 0*b**3 + 76*b + 3*b**2 - y*b = 0.
-4, 0, 1
Let n be ((-66)/(-9) + -4)*(-3)/(-1). Solve -n*x**2 + 10 + 15*x**3 - 1209*x + 0*x**3 + 1194*x = 0 for x.
-1, 2/3, 1
Let r be 518 - (6 - 0*(-6)/36). Let y be ((-15)/(600/r))/((-18)/10). Factor -256/9 - y*a - 4/9*a**2.
-4*(a + 8)**2/9
Let b(y) be the second derivative of 1/8*y**2 + 0 - 11/96*y**4 - 3/16*y**3 + 23*y. Factor b(m).
-(m + 1)*(11*m - 2)/8
Let 68/3*m**3 + 0*m + 32/3*m**2 + 40/3*m**4 + 0 + 4/3*m**5 = 0. Calculate m.
-8, -1, 0
Let w(c) be the third derivative of -c**5/60 - 2057*c**4/12 - 4231249*c**3/6 + 6*c**2 - 16. Factor w(j).
-(j + 2057)**2
Let g(h) = h**3 + 10*h**2 - 25*h - 10. Let i be g(-12). Let t(n) = 9*n - 2. Let q be t(i). Factor 860*u**4 + 4*u**3 - 857*u**4 - q*u**3 + 12*u**2.
3*u**2*(u - 2)**2
Let t(u) = u**2 - 719*u - 64073. Let y(s) = -6*s**2 + 3596*s + 320362. Let h(o) = 16*t(o) + 3*y(o). Find b such that h(b) = 0.
-179
Let v be (-41)/123 - (-2092)/3. Let j = v - 692. Find c, given that -3/2*c - 23/3*c**3 - 5*c**2 - 1/6 - 11/2*c**4 - 3/2*c**j = 0.
-1, -1/3
Let i be (336/(-60))/(-7)*(0 + -20). Let s be (35/(-10))/(28/i). Factor 2/5*r**s + 0*r - 8/5.
2*(r - 2)*(r + 2)/5
Let z = 727 - 661. Let r be ((-16)/z)/(68/(-102)). Factor 6/11*f**2 - 2/11*f**3 - r*f + 0.
-2*f*(f - 2)*(f - 1)/11
Let h(g) be the third derivative of -1 + 16/3*g**3 + 0*g - 1/30*g**5 + 0*g**4 + 47*g**2. Factor h(m).
-2*(m - 4)*(m + 4)
Let j(y) be the first derivative of 0*y + 1/2*y**2 + 1/12*y**3 + 1/240*y**5 - 1/32*y**4 + 4. Let o(u) be the second derivative of j(u). Factor o(l).
(l - 2)*(l - 1)/4
Suppose -119 + 5*r**3 + 15*r**2 - 107*r + 67*r - 121 - 40*r = 0. What is r?
-4, -3, 4
Let i(b) = -b**3 + 13*b**2 - 22*b + 12. Let c be i(11). Suppose 13 + 2*y**5 - 5*y**4 - c*y**4 + 7*y**3 - 5 + 5*y**4 - 18*y + 9*y**3 + 4*y**2 = 0. What is y?
-1, 1, 4
Let t(j) be the third derivative of -j**6/220 - 49*j**5/110 - 129*j**4/22 - j**2 + 7*j - 25. Factor t(f).
-6*f*(f + 6)*(f + 43)/11
Let y(u) be the second derivative of 0 + 8/7*u**2 + 1/84*u**4 + 12*u + 5/21*u**3. What is d in y(d) = 0?
-8, -2
Let m(o) be the first derivative of -2*o**5/45 - o**4 - 70*o**3/9 - 196*o**2/9 - 2182. Solve m(d) = 0.
-7, -4, 0
Factor -4*t**2 + 183*t - 16*t - 3534 + 5134 + 133*t.
-4*(t - 80)*(t + 5)
Determine w so that 24458*w**3 - 20212*w**2 + 1223*w + 633*w + 368*w**5 + 469*w**5 + 2816 - 12640*w**4 - 151*w**5 + 3036*w**4 = 0.
-2/7, 1, 8/7, 11
Let b = -253922 - -1777455/7. Let 6/7 + b*i**2 - i = 0. What is i?
1, 6
Let o(b) = 8*b**4 - 20*b**3 + 12*b**2 - 4*b. Let r(j) be the third derivative of j**7/210 - j**5/60 - j**4/24 - 57*j**2. Let f(x) = o(x) - 4*r(x). Factor f(z).
4*z**2*(z - 4)*(z - 1)
Suppose -5*r + 21 = 3*s - 4*r, 0 = 2*s - 5*r - 31. Suppose -s*b - 5 = -21. Find a, given that a**2 + 16*a - a**2 + 64 + 4*a**b - 3*a**2 = 0.
-8
Let t(r) = 2*r**2 + 97*r - 818. Let z be t(-56). Let f(g) be the third derivative of -6/5*g**3 - 1/300*g**5 - z*g**2 + 0*g + 0 - 1/10*g**4. Factor f(k).
-(k + 6)**2/5
Let x(q) be the third derivative of 0 - 17/12*q**4 + 4/3*q**3 + 12*q**2 - 1/168*q**8 + 14/15*q**5 - 11/30*q**6 + 8/105*q**7 + 0*q. Suppose x(t) = 0. What is t?
1, 4
Let l = -101/44 + -9/44. Let r = -25/14 - l. Factor 1/7*z**3 - 3/7 - 1/7*z**2 - r*z.
(z - 3