 + 208/9*m + 316/9*m**2 + 0 + 110/9*m**3 = 0?
-52, -2, -1, 0
Let p = -5986/3 + 1997. Let t(w) be the second derivative of -w - p*w**3 + 0 - 6*w**2 + 1/6*w**4. Suppose t(j) = 0. Calculate j.
-1, 6
Suppose -296 = -180*t + 64. Let -304/3*w**t - 164/3*w - 148/3*w**3 - 8/3 = 0. Calculate w.
-1, -2/37
Let p = 164880 + -824398/5. Solve 1352/5 - 104/5*j + p*j**2 = 0.
26
Suppose 2*p = -3*x + 151, -200 - 95 = -4*p + x. Factor -149*z**2 + 85*z**2 - 2*z**4 - 5 + p*z**2 - 3*z**4.
-5*(z - 1)**2*(z + 1)**2
Let y(o) be the third derivative of o**7/735 + 16*o**6/105 + 599*o**5/105 + 464*o**4/7 + 2523*o**3/7 - 1472*o**2 + 2. Let y(t) = 0. Calculate t.
-29, -3
Let q(h) = h + 9. Let f = 0 + -7. Let d be q(f). Factor -10*r + 3 - 3 + 5*r**d + 0.
5*r*(r - 2)
Let r(v) be the second derivative of 3*v + 1/40*v**5 + 1 - 1/8*v**4 + 1/4*v**3 - 1/4*v**2. What is j in r(j) = 0?
1
Solve -88/3*g**4 - 8*g**5 + 64/9*g**2 - 2/3*g + 0 - 122/9*g**3 = 0.
-3, -1, 0, 1/6
Factor -11/4 - 13/4*l**2 + 23/4*l + 1/4*l**3.
(l - 11)*(l - 1)**2/4
Suppose 256*f = 259*f - 4*g - 28, 5*f + g + 7 = 0. Let w(t) be the third derivative of 1/180*t**5 - 1/9*t**3 + 12*t**2 + 0*t + f - 1/72*t**4. Factor w(o).
(o - 2)*(o + 1)/3
Let t(a) be the first derivative of -2*a**3/3 - 530*a**2 - 140450*a + 2030. Solve t(y) = 0.
-265
Let x(r) be the second derivative of r**6/150 + 11*r**5/100 + 7*r**4/10 + 32*r**3/15 + 16*r**2/5 - 39*r - 1. Factor x(q).
(q + 1)*(q + 2)*(q + 4)**2/5
Let f(w) be the first derivative of -w**9/18144 + w**8/2016 - w**3 - 5*w + 134. Let o(c) be the third derivative of f(c). Factor o(b).
-b**4*(b - 5)/6
Let m be -1*15/(5/(-1)). Suppose -p + 20 = 4*j + 4*p, m*p - 15 = -3*j. Factor 8 - 2 + j*v**2 - 19*v + 14 - 6*v.
5*(v - 4)*(v - 1)
Let b(h) be the first derivative of -5/6*h**2 + 2*h + 1/9*h**3 + 27. Solve b(l) = 0.
2, 3
Let -80/13*k**2 - 72*k - 2592/13 - 2/13*k**3 = 0. Calculate k.
-18, -4
Let p = -447336/7 + 63908. What is x in 72/7*x**2 - 24/7 + 4*x + p*x**3 = 0?
-3, -1, 2/5
Let t(d) be the second derivative of -d**4/12 + 88*d**3 + 529*d**2/2 - 1874*d. Determine k so that t(k) = 0.
-1, 529
Let r(i) = 11*i**2 - 33*i + 22. Let v be r(2). Solve 5/2*y**4 - y**3 + v + 4*y - 10*y**2 = 0.
-2, 0, 2/5, 2
Let l(d) = 2*d**3 + d**2 + 32*d + 144. Let p be l(-3). Factor -3/4*o**2 + 1/2 - 3/4*o + 1/2*o**p.
(o - 2)*(o + 1)*(2*o - 1)/4
Let c(x) be the second derivative of 21/100*x**5 + 1/5*x**3 - 9/70*x**7 - 6*x - 11/20*x**4 + 11/50*x**6 + 0*x**2 - 9. Find v such that c(v) = 0.
-1, 0, 2/9, 1
Let a be (-18)/1188*11*(-180)/150. Find d such that 3/5*d**2 - a*d - 3/5 + 1/5*d**3 = 0.
-3, -1, 1
Let p(t) be the second derivative of t**7/140 - t**6/120 - 3*t**5/20 + t**3/3 + 2*t**2 + 18*t. Let u(f) be the second derivative of p(f). Factor u(h).
3*h*(h - 2)*(2*h + 3)
Let v(y) = -3*y**4 - 7*y**3 - 2*y**2 + 53*y - 64. Let p(i) = -i**4 - 4*i**3 + 26*i - 32. Let g(j) = 5*p(j) - 2*v(j). Determine f so that g(f) = 0.
-2, 2, 4
Suppose -8*o + 126 = 14. Suppose 2*u - o = -5*u. Suppose -2*q**u - 3*q**2 - 4 + 11*q**2 + 12*q + 10*q**2 = 0. What is q?
-1, 1/4
Factor 3932/3*t**2 - 257939*t + 102966 - 5/3*t**3.
-(t - 393)**2*(5*t - 2)/3
Suppose 0 = -b - 1 - 4. Let u(i) = -i**2 + 2*i - 1. Let k(f) = -2*f**2 + f**2 + 20188876 - 20188877 + 2*f. Let d(c) = b*u(c) + 6*k(c). Factor d(q).
-(q - 1)**2
Let b(p) be the second derivative of -1/72*p**6 + 19/6*p**3 - 1/15*p**5 + 0*p**2 + 9*p - 1/8*p**4 + 0. Let m(w) be the second derivative of b(w). Factor m(f).
-(f + 1)*(5*f + 3)
Let m(l) = -4*l**2 - 319*l - 5. Let h(r) = 4*r**2 + 322*r + 6. Let b(q) = -5*h(q) - 6*m(q). Solve b(z) = 0 for z.
-76, 0
Let t(a) be the second derivative of 5*a**4/12 + 30*a**3 - 185*a**2/2 - 2*a - 549. Factor t(y).
5*(y - 1)*(y + 37)
Let a(b) be the third derivative of 14*b**5/5 - 755*b**4/6 - 12*b**3 + 541*b**2 + 2*b. Factor a(c).
4*(c - 18)*(42*c + 1)
Solve -21/2*t**4 - 6*t - 45/2*t**3 - 3/2*t**5 - 39/2*t**2 + 0 = 0 for t.
-4, -1, 0
Let n = -8600 - -8603. Let o(f) be the first derivative of 2/7*f + 22 - 3/14*f**2 + 1/21*f**n. Factor o(d).
(d - 2)*(d - 1)/7
Let z(s) be the second derivative of -s**4/30 + 23*s**3 - 4856*s. Factor z(n).
-2*n*(n - 345)/5
Let y(w) = w**3 + 9*w**2 + 8*w + 3. Let s be y(-8). Solve -67*t**s - 3*t + 0*t**2 + 68*t**3 - 2*t**2 = 0 for t.
-1, 0, 3
Determine y so that 255*y + 3*y**2 - 2178 - 708*y + 114*y - 744*y = 0.
-2, 363
Suppose j + 5 = 4*b, -3*b - 8 - 1 = -5*j. What is m in -5*m + m**b - 17*m**2 - 12*m**2 + 43*m**2 = 0?
0, 1/3
Find v such that -391*v**3 - 4*v**5 + 840 + 956*v - 325*v**3 - 3924*v**2 - 236*v**3 + 3204*v**2 - 120*v**4 = 0.
-15, -14, -1, 1
Let w(s) = 4*s**4 - 24*s**3 - 48*s**2 - 32*s + 8. Let j(h) = 1 + 0 - 114*h**4 + 115*h**4. Let o(t) = -8*j(t) + w(t). Factor o(l).
-4*l*(l + 2)**3
Suppose u - 2*u + 2 = 0. Let c be ((-66)/(-88))/((-10)/((-200)/30)). Factor k + 1/2 + c*k**u.
(k + 1)**2/2
Let c(v) be the first derivative of 27 - 2*v**3 + 0*v - 2/5*v**5 - 1/24*v**6 - 9/8*v**2 - 11/8*v**4. What is b in c(b) = 0?
-3, -1, 0
Let y(a) be the first derivative of -1/6*a**6 + 3/2*a**4 - 4/3*a**3 + 0*a + 1/5*a**5 - 22 - 4*a**2. Let y(z) = 0. Calculate z.
-2, -1, 0, 2
Let a(o) be the first derivative of 117 - 144*o + 39/2*o**2 + o**3. Find f such that a(f) = 0.
-16, 3
Let f = 87 + -83. Find q, given that 15*q**2 + 6*q**4 + 9*q**2 + 4*q + 2*q**f - 10*q**3 - 38*q**2 = 0.
-1, 0, 1/4, 2
Let c(h) be the third derivative of -h**8/1680 + h**6/60 - h**5/15 + 91*h**4/24 - 54*h**2 - 2*h. Let f(v) be the second derivative of c(v). Factor f(y).
-4*(y - 1)**2*(y + 2)
Let c(p) = -2*p**3 + 118*p**2 - 228*p + 1. Let l be c(57). Let x be (21 - 20)*(4/1 - l). Determine z, given that 148/7*z**2 - 208/7*z - 4*z**x + 48/7 = 0.
2/7, 2, 3
Factor -65/4*x**2 - 135/2 - 435/4*x.
-5*(x + 6)*(13*x + 9)/4
Let c(x) be the second derivative of -x**6/90 + 2*x**5/15 + 11*x**4/36 - x**3 + 2429*x + 1. Factor c(d).
-d*(d - 9)*(d - 1)*(d + 2)/3
Solve 60 - 60*b**2 - 4/7*b + 4/7*b**3 = 0.
-1, 1, 105
Let u be ((2 - -1) + -2)*36. Suppose -1610 + 9386 = 24*b. Determine n so that -156*n**2 + b*n**4 + 8 + u*n - 80*n - 180*n**3 + 48*n = 0.
-1/3, 2/9, 1
Let j be (6/60)/((-2)/(-8))*(4704 - 4699). Factor 0 - 1/6*a**4 + 1/6*a**3 + 1/3*a**j + 0*a.
-a**2*(a - 2)*(a + 1)/6
Let k be -3 + (13 - 544/(-64)). Factor -k*r - 2*r**2 - 9/2.
-(r + 9)*(4*r + 1)/2
Let v(k) = 2*k - 25. Let j be v(14). Suppose j*u**4 - u**5 + 0*u**5 + 16*u**3 - 18*u**3 = 0. Calculate u.
0, 1, 2
Let v(g) be the first derivative of 3/5*g**5 + 12*g**2 + 15*g**3 + 116 - 6*g**4 - 48*g. Determine x, given that v(x) = 0.
-1, 1, 4
Let h = 115 + -93. Suppose -3*y = -2*y + 5*b - h, 14 = -3*y + 5*b. Factor 5 + 1 + 3*s - 3*s**3 + 74*s**y - 80*s**2.
-3*(s - 1)*(s + 1)*(s + 2)
Factor -1/7*y**3 - 20/7*y**2 - 208/7 + 148/7*y.
-(y - 4)*(y - 2)*(y + 26)/7
Let o = 66301/4 - 198895/12. Factor -1/3*n**4 + 0 - o*n**3 + 7/3*n**2 - 4/3*n.
-n*(n - 1)**2*(n + 4)/3
Find d, given that 9037914 - 119*d**2 - 4*d**3 + 576*d + 5*d**3 - 9038598 = 0.
2, 3, 114
Let l(s) be the first derivative of -s**4/9 + 26*s**3/9 + 28*s**2/3 - 199*s - 239. Let d(w) be the first derivative of l(w). Factor d(i).
-4*(i - 14)*(i + 1)/3
Let u(z) be the first derivative of 5*z**3/3 - 1205*z**2 + 2767. Find b such that u(b) = 0.
0, 482
Let q be ((-183636)/432)/(2/(-8)). Let o = 1703 - q. Suppose 28*a**2 - o*a**3 + 16/3 + 80/3*a - 28/3*a**4 = 0. Calculate a.
-1, -2/7, 2
Let x = 2964/31 - 14076/155. Determine w, given that 2/5*w + 24/5 - 2/5*w**3 - x*w**2 = 0.
-12, -1, 1
Let l = -12 + 22. Suppose 0 = -15*m + l*m. Determine o so that 8*o**2 - 12*o**2 - 4*o**3 + 0*o**3 + 2*o**5 + 2*o**4 + 2*o + 2 + m*o**3 = 0.
-1, 1
Suppose 28 + r**2 - 352/5*r = 0. What is r?
2/5, 70
Suppose -57 = -19*c - 19. Factor -9 + 145*q**2 - 70*q**c + 30*q + 34 - 70*q**2.
5*(q + 1)*(q + 5)
Let n(f) = 12*f**2 + 2712*f + 454308. Let w(p) = p**2 + 2*p + 4. Let h(d) = -n(d) + 8*w(d). Solve h(i) = 0 for i.
-337
Let s = 504 - 499. Factor 138*l**3 + 3*l**s - 46*l**4 - 26*l**4 + 30*l**4 - 30 - 12*l - 192*l**2 + 135*l.
3*(l - 10)*(l - 1)**4
Let i(n) be the third derivative of -39*n**2 + n**3 + 3/8*n**4 + 0 + 0*n + 1/20*n**5. Determine z so that i(z) = 0.
-2, -1
Let i(q) be the first derivative of 3/10*q**5 - 1 + 2*q**3 - 43*q + 0*q**2 + 9/4*q**4. Let f(a) be the first derivative of i(a). Factor f(y).
3*y*