e d(c) = 0. What is c?
-33, -13
Factor 38/3*b**2 + 8 + 88/3*b.
2*(b + 2)*(19*b + 6)/3
Let z(i) be the third derivative of 121/60*i**5 + 1/210*i**7 + 11/60*i**6 + 0*i**4 - 3*i + 19*i**2 + 0*i**3 + 0. Factor z(h).
h**2*(h + 11)**2
Suppose -4*h = -4*f + 16, -4*f + 30 = 406*h - 403*h. Factor 5*y - 1/6*y**h - 29/6.
-(y - 29)*(y - 1)/6
Suppose -497*a + 505*a - 48 = -4*f, -2*f - 8 = -4*a. What is k in -54/5*k - 36/5 - 2/5*k**3 - f*k**2 = 0?
-6, -3, -1
Let i(n) = 12*n**3 + 67*n**2 - 269*n + 317. Let p(t) = 11*t**3 + 67*t**2 - 270*t + 314. Let b(k) = 10*i(k) - 11*p(k). What is y in b(y) = 0?
-71, 2
Let n(d) be the second derivative of 361*d**6/15 + 6061*d**5/10 - 644*d**4/3 + 68*d**3/3 - 3058*d. Let n(l) = 0. Calculate l.
-17, 0, 2/19
Let u(q) be the third derivative of 2*q**7/15 + q**6 + 43*q**5/15 + 4*q**4 + 8*q**3/3 + 14*q**2. Factor u(g).
4*(g + 1)**2*(g + 2)*(7*g + 2)
Let r be (148/1480)/((-1)/(-30)). Let y(d) be the second derivative of -1/3*d**r - 1/12*d**4 + 8*d + 0 + 0*d**2. Factor y(c).
-c*(c + 2)
Suppose 2321*z**2 + 2370*z**2 - 10192 - 4799*z**2 - 1848*z - 2*z**3 = 0. Calculate z.
-26, -14
Suppose -23*w = -28*w + 205. Let r = 43 - w. Let 2*f**2 + 12 + 6*f**r + 8*f - 12*f**2 = 0. Calculate f.
-1, 3
Let g = 170581/75812 - 1/18953. Suppose 6*i - 2 = 4*i. Factor g*x + i + 3/2*x**2 + 1/4*x**3.
(x + 1)**2*(x + 4)/4
Let l(i) = -9*i**2 - 40*i - 60. Let c(w) = w**3 + 2*w**2 + 4. Let b be c(-2). Let m(u) = 26*u**2 + 120*u + 180. Let d(n) = b*m(n) + 11*l(n). Factor d(k).
5*(k + 2)*(k + 6)
Factor -8*b**2 + 8*b**2 - 4*b + 12 + 28 + 16*b - 4*b**2.
-4*(b - 5)*(b + 2)
Let o = -39 - -63. Suppose 29*q - 260 = o*q. Factor 30*z**5 + 14*z - q*z**2 - 6*z - 92*z**4 + 108*z**3 - 2*z**5.
4*z*(z - 1)**3*(7*z - 2)
Solve -51 - 356*m**2 - 13 - 136*m + 10*m**3 + 420*m**2 = 0 for m.
-8, -2/5, 2
Let n(c) = -c**3 + 30*c**2 + 30*c + 34. Suppose 2*w + 8*a - 9*a = 64, 5*a + 72 = 2*w. Let k be n(w). Factor -4/17*q**2 + 2/17*q**k + 0*q + 0 + 2/17*q**4.
2*q**2*(q - 1)*(q + 2)/17
Suppose 5*g - 16 - 4 = 0. Let h be (23 + (-360)/16)/(2/(-4) + 2). Factor -a**g - h*a**2 - a**3 + 0 - 1/3*a**5 + 0*a.
-a**2*(a + 1)**3/3
Let j(h) be the third derivative of h**8/672 + h**7/28 - 19*h**6/60 + 2*h**5/15 + 6*h**4 - 76*h**3/3 - 252*h**2 - 4. Suppose j(m) = 0. Calculate m.
-19, -2, 2
Let w be 21/(-23) - -1 - 1056/506. Let r be (168/(-70))/(-12)*(-4)/w. Factor -2/5*u**3 - 6/5*u + 6/5*u**2 + r.
-2*(u - 1)**3/5
Suppose 0 = -2*r + 26*r + 120. Let d be 3/(-2)*(9 + r - 6). Factor -2/3*w**d + 0 + 8/3*w - 2/3*w**4 + 8/3*w**2.
-2*w*(w - 2)*(w + 1)*(w + 2)/3
Suppose -7*t - 18*t + 50 = 0. Solve -4529*h - 264*h**t - 7087*h - 170368 - 15*h**3 + 13*h**3 = 0.
-44
Let a = -11116 - -11119. Let y(k) be the second derivative of 5/4*k**a + 0 - 1/8*k**4 - 9/2*k**2 + 17*k. Factor y(v).
-3*(v - 3)*(v - 2)/2
Factor -104/5 + 42/5*n - 4/5*n**2.
-2*(n - 4)*(2*n - 13)/5
Suppose 5*q - 3*b = -4*b + 18, 2*b - 12 = -4*q. Factor -2*m**3 + 0 + 48*m**2 - 23*m**2 - 4 - q*m - 18*m**2.
-(m - 2)**2*(2*m + 1)
Factor 27/4*l**3 + 3/4*l**4 - 195/4*l - 171/4*l**2 + 0.
3*l*(l - 5)*(l + 1)*(l + 13)/4
Let v be (-5 + 4)/(2/(-10)). Suppose v*x - 10 = -0. Determine a so that 0*a**4 - 4*a**3 + 3*a**2 + 2*a**4 - 3*a**x = 0.
0, 2
Suppose -136*b - 240 = -196*b. Let c(s) be the first derivative of -1/20*s**b - 9 - 1/15*s**3 + 1/5*s**2 + 0*s. Factor c(n).
-n*(n - 1)*(n + 2)/5
Let 5/2*y**4 + 11/2 - 8*y**2 + 1/4*y**5 + 13/4*y - 7/2*y**3 = 0. Calculate y.
-11, -1, 1, 2
Let g be 1*3374/105 + (-4)/30. Suppose 0 = 5*c + 2*q - 28, 5*c - 3*q = -6*q + g. Suppose 21*u - 6*u**2 + 5*u**4 - 3*u**c - 25*u = 0. Calculate u.
-1, 0, 2
Let j(a) be the first derivative of 127/22*a**4 + 70 - 289/11*a + 1/66*a**6 - 3/5*a**5 + 322/33*a**3 - 255/22*a**2. Let j(y) = 0. Calculate y.
-1, 1, 17
Let a(d) be the first derivative of -d**4/14 - 66*d**3/7 - 96*d**2/7 + 56*d - 1089. Let a(x) = 0. Calculate x.
-98, -2, 1
Let u(q) = q**3 + 4*q**2 + 2*q - 1. Let v be u(-2). Suppose -v*z - 6 = -6*z. Factor -11*o + 2*o**2 - 7*o + 7*o - 5*o**z - 6.
-(o + 3)*(3*o + 2)
Let w(z) be the second derivative of -27/5*z**2 + 1/315*z**7 - 11/5*z**3 - 73*z + 19/225*z**6 + 31/45*z**4 + 0 + 49/75*z**5. Determine c, given that w(c) = 0.
-9, -1, 1
Let p(k) be the second derivative of k**5/25 + 77*k**4/15 + 302*k**3/15 + 30*k**2 + 4*k + 13. Factor p(g).
4*(g + 1)**2*(g + 75)/5
Let g(r) = 20*r**2 - 8787*r - 17667. Let b(k) = 5*k**2 - 2197*k - 4417. Let d(h) = 13*b(h) - 3*g(h). Factor d(u).
5*(u - 442)*(u + 2)
Factor -20*h**3 - 1156*h - 236*h**2 + 16*h**3 + 100*h**2.
-4*h*(h + 17)**2
Suppose 31 = -2*s + 35. Suppose s*i = 5*i - 93. Find l such that -2*l**5 - l**5 + 3*l**4 + i - 31 = 0.
0, 1
Let d = -572 + 599. Let s be (-420)/50 + d/3. Let 0*o**3 + s*o**5 + 0 - 3/5*o - 6/5*o**4 + 6/5*o**2 = 0. Calculate o.
-1, 0, 1
Let c(d) be the first derivative of -d**5/45 + 13*d**4/36 - 23*d**3/27 + 11*d**2/18 + 3740. What is j in c(j) = 0?
0, 1, 11
Let n(g) = -4*g**3 - 2*g**2 + 10*g + 12. Let i be n(-1). Factor -2/3*y**2 - 6 + i*y.
-2*(y - 3)**2/3
Let 2989*t + 13*t**3 + 581*t**2 + 2*t**3 - 15*t**4 - 115*t**3 + 724*t**2 - 2079*t = 0. What is t?
-13, -2/3, 0, 7
Determine c so that -16/3*c + 64/9 + 4/3*c**2 - 1/9*c**3 = 0.
4
Let w(x) = 6*x**3 + 1051*x**2 + 178*x + 527. Let d be w(-175). Factor -d + 7/4*z + 1/4*z**2.
(z - 1)*(z + 8)/4
Let b(z) be the first derivative of -2*z**3/3 - 160*z**2 - 632*z - 3046. Let b(p) = 0. What is p?
-158, -2
Let x = -28981 + 28986. Let n(c) be the second derivative of -3/10*c**6 - 1/4*c**4 + 9/20*c**x + 0*c**2 + 0 + 1/14*c**7 - 20*c + 0*c**3. Solve n(u) = 0 for u.
0, 1
Suppose 1288*o**4 - 11*o**5 + 146036*o**3 + 15*o**5 - 43652*o**3 - 209952*o**2 = 0. What is o?
-162, 0, 2
Let p(a) be the first derivative of a**5/30 + a**4/4 - 10*a**3/3 - 23*a**2/2 + 62. Let s(g) be the second derivative of p(g). Let s(m) = 0. Calculate m.
-5, 2
Solve 0 - 33/5*f - 63/10*f**4 - 39/2*f**3 - 197/10*f**2 + 1/10*f**5 = 0.
-1, 0, 66
Let c(v) = 157*v**2 - 311*v - 94. Let m(z) = 2*z**2 + 19*z + 35. Let b be m(-8). Let k(d) = -52*d**2 + 104*d + 32. Let j(g) = b*k(g) + 4*c(g). Factor j(s).
4*(s - 2)*(14*s + 3)
Let f = 695725 - 695717. Let f*a - 15/2 - 1/2*a**2 = 0. What is a?
1, 15
Let b be (-1)/5 + 63/(-35) - (1416 - 1423). Let -4/3*u**b + 4/3*u**3 + 4*u**4 - 44/3*u**2 - 16/3 + 16*u = 0. Calculate u.
-2, 1, 2
Let j be 100/(4/(-16) + 27/60). Solve -6*i**3 - 44*i**4 + 496*i**2 - 24*i**5 - 18*i**3 - j*i**2 = 0 for i.
-1, -1/2, -1/3, 0
Let g(u) be the third derivative of -u**6/240 + 11*u**5/60 + 23*u**4/48 + 3352*u**2. Suppose g(f) = 0. What is f?
-1, 0, 23
Let o(b) = -2*b**2 + 50*b + 54. Let u be o(26). Factor -23*g**3 + 19*g**3 - 4*g**4 + 20*g - 44*g**u + 25*g**3 + 7*g**3.
-4*g*(g - 5)*(g - 1)**2
Let b(i) be the first derivative of 3*i**5/5 - 123*i**4/4 + 315*i**3 - 2673*i**2/2 + 2592*i - 539. Solve b(n) = 0 for n.
3, 32
Let j(a) be the first derivative of a**5/10 - a**4/4 + a**3/6 + 236. Factor j(s).
s**2*(s - 1)**2/2
Let a = 241438245/233874319 - -2/630389. Let c = a + -32/53. Factor 0*l**2 + 0 + c*l**4 + 12/7*l**3 + 0*l.
3*l**3*(l + 4)/7
Suppose -b = 3*a - 4*b - 1359, 3*a + 4*b - 1338 = 0. Determine n, given that a*n**2 - 452*n**2 + 118*n - 382*n - 8712 = 0.
-66
Suppose 1672*z = 1665*z. Let u be ((z - 1)*-3)/1 + -1. Factor 1/5*j - 1/5*j**u + 0.
-j*(j - 1)/5
Solve 285*x**4 - 277 - 61*x**2 - 32*x + 316*x**2 + 43*x**3 + 21 - 284*x**4 - 11*x**3 = 0.
-16, -1, 1
Let k(b) be the second derivative of 5/8*b**2 - 16*b + 5 + 0*b**3 - 5/48*b**4. Factor k(l).
-5*(l - 1)*(l + 1)/4
Factor 40/3*l**3 + 102*l**2 + 1/3*l**4 - 4624/3*l - 54043/3.
(l - 11)*(l + 17)**3/3
Let c = 996 - 277. Let f = c - 715. Factor -5/2*u + 29/6*u**2 - 7/2*u**3 + 1/3 + 5/6*u**f.
(u - 2)*(u - 1)**2*(5*u - 1)/6
Factor 0 + 395/2*z - 1/2*z**2.
-z*(z - 395)/2
Let a(f) = 2*f**2 - 1817*f + 3628. Let y be a(2). Determine o, given that 4/3 + 2*o - 16/3*o**y + 2*o**3 = 0.
-1/3, 1, 2
Factor 1/3*m**3 - 2*m - 8/3 + m**2.
(m - 2)*(m + 1)*(m + 4)/3
Suppose 0 = 10*l - 19*l + 117. Let f = -9 + l. Let -3*i**2 + f*i + 11*i - 33*i - 28 + 1 = 0. Calculate i.
-3
Let l = -81406 + 81409. What is o in 4*o**4 + 28/5*o**2 + 0 - 36/5*o**l - 8/5*o - 4/5*o**5 = 0?
0, 1, 2
Let c(j) = -j**4 + j**2 + j. Let q(z) = z**5 + 3*z**4 - 3*z**2 - 2*z. Let n(r) = r**2 + 2*r - 1. Let s be n(-1