. Factor x(k).
4*(k - 11)*(k - 1)**2
Suppose -2476 = -2684*z + 2892. Suppose -25 + 23/2*b + 1/2*b**z = 0. What is b?
-25, 2
Let g = 1271 - 1262. Let n be (-20 + 10 - -4) + 0 + g. Suppose -2*d**2 + 0 + 2/3*d**n + 4/3*d = 0. Calculate d.
0, 1, 2
Let n be ((-15)/(-10))/((-40)/(-6) + -7 + 1). Let -1/4*s**4 - n*s**2 + 7/4*s**3 - 27/4*s + 27/2 = 0. What is s?
-2, 3
Factor -9 - 1/4*z**3 + 27/4*z + 5/2*z**2.
-(z - 12)*(z - 1)*(z + 3)/4
Let o be ((-340)/(-120))/(-17)*-18. Let c(a) be the first derivative of -8/3*a + 29 - 8/9*a**2 + 14/27*a**o. Let c(i) = 0. Calculate i.
-6/7, 2
Suppose -120*y + 607 = 42 + 85. Let p = 2 + -2. Solve 2/5*j**y - 2/5*j**2 + 2/5*j - 6/5*j**3 + 4/5*j**5 + p = 0.
-1, 0, 1/2, 1
Let d(m) be the first derivative of 27/5*m**2 - 54/5*m - 1/15*m**6 - 13 - 13/5*m**4 + 12/5*m**3 + 18/25*m**5. Solve d(w) = 0 for w.
-1, 1, 3
Determine q, given that 1556*q - 62*q**2 - 1576*q + 10*q**4 + 14*q**3 + 8*q**5 - 38*q**3 + 16*q**2 = 0.
-5/4, -1, 0, 2
Let n(x) = -65*x**3 - 8000*x**2 + 65*x + 7860. Let u(a) = 11*a**3 + 1333*a**2 - 11*a - 1309. Let b(z) = -6*n(z) - 35*u(z). Factor b(p).
5*(p - 1)*(p + 1)*(p + 269)
Let t be 97/30 - 2/(-12)*(-90 - -85). Let p(y) be the first derivative of 2/3*y**3 + 0*y**2 + 28 + 7/2*y**4 + t*y**5 + 0*y. Factor p(s).
2*s**2*(s + 1)*(6*s + 1)
Let u(s) be the first derivative of s**6/300 - s**5/150 - s**4/30 + 9*s**2/2 - 2*s - 58. Let k(t) be the second derivative of u(t). Factor k(n).
2*n*(n - 2)*(n + 1)/5
Let d(r) be the third derivative of -r**10/196560 + r**8/21840 - r**6/4680 + 11*r**4/12 - 46*r**2. Let p(a) be the second derivative of d(a). Factor p(t).
-2*t*(t - 1)**2*(t + 1)**2/13
Let l(f) = -3 + 3 + 9 - f - 1 + 4*f**2 - f**3. Let c be l(4). Factor 48*t - 48*t**2 + 0*t**4 - 20 + 4 - 4*t**4 - c*t**2 + 24*t**3.
-4*(t - 2)**2*(t - 1)**2
Let l(m) be the first derivative of 70*m**2 - 71 + 5/3*m**3 - 145*m. What is i in l(i) = 0?
-29, 1
Let n(u) = -40*u**4 + 5670*u**3 - 34525*u**2 + 48050*u - 85. Let b(z) = z**4 - 135*z**3 + 822*z**2 - 1144*z + 2. Let o(i) = -85*b(i) - 2*n(i). Factor o(r).
-5*r*(r - 19)*(r - 6)*(r - 2)
Find h such that -288800/13 - 2/13*h**2 + 1520/13*h = 0.
380
Suppose 3*x + 13 = 4*w, -37*w + 18 = -33*w + 2*x. Factor -22/17*b**3 + 0 + 0*b - 6/17*b**2 + 8/17*b**w.
2*b**2*(b - 3)*(4*b + 1)/17
Let l(c) be the third derivative of -17*c**5/30 - 5*c**4/6 + 20*c**3/3 - 169*c**2. Let s(g) = -12*g**2 - 7*g + 14. Let i(k) = 5*l(k) - 14*s(k). Factor i(d).
-2*(d - 1)*(d + 2)
Let c(g) = 9*g - 16. Let m be c(2). Factor -4*r**3 + m*r**3 + 22*r + 4*r**3 - 28*r**2 + 40*r**2 + 12.
2*(r + 1)*(r + 2)*(r + 3)
Suppose -i = -5*c + 5, -4*i - 2 = 6*c - 34. Let a(d) be the second derivative of 0 + 3/4*d**4 + 3/2*d**c + 22*d - 3/2*d**3 - 3/20*d**5. Factor a(x).
-3*(x - 1)**3
Let r(z) = -7*z**2 - 8*z + 73. Let d(y) = -y**2 + y - 1. Suppose 3*v + 70 = 38*v. Let s(q) = v*d(q) - r(q). Let s(k) = 0. Calculate k.
-5, 3
Let c = 92654 + -648476/7. Factor 88/7*k**3 + c*k + 20*k**2 + 4 + 24/7*k**4 + 2/7*k**5.
2*(k + 1)**3*(k + 2)*(k + 7)/7
Let x = -97723 + 97723. Determine w so that 6/7*w**3 + 2/7*w**4 + x - 8/7*w + 0*w**2 = 0.
-2, 0, 1
Let i = -29770 - -29799. Let x(r) be the second derivative of -8*r**3 - i*r + 96*r**2 + 1/4*r**4 + 0. Find c such that x(c) = 0.
8
Let r be (3/(-9) + -1)*3*-7. Let a be (-7 + 6 + (-15)/(-12))*r. Solve -15*n**2 - 15*n**3 + 12 - n + 6*n + a*n + 3*n**4 + 3*n**5 = 0.
-2, -1, 1, 2
Suppose 3*j = 3*x + 738, j + 6 = 3*j. Let k = x - -489/2. Factor -k*c + 1/2*c**2 + 1.
(c - 2)*(c - 1)/2
Let v(i) be the first derivative of -i**5/330 - i**4/66 + i**3/11 - i**2/2 - 5*i - 78. Let d(w) be the second derivative of v(w). Factor d(m).
-2*(m - 1)*(m + 3)/11
Suppose 517*b + 583*b - 9024 = 366*b - 770*b. What is c in 0*c**2 - b*c + 2/3*c**3 + 0 = 0?
-3, 0, 3
Let o(x) be the second derivative of -x**5/20 - 3*x**4/2 - 16*x**3/3 + 3040*x. Determine w so that o(w) = 0.
-16, -2, 0
Let -49/6*o**2 - 175*o - 1875/2 = 0. Calculate o.
-75/7
Suppose -5*i - 2*k = 0, -6 = 16*k - 5*k - 6*k + 19. Let 0*a + 2/3*a**i - 2/3*a**3 + 2/3*a**5 - 2/3*a**4 + 0 = 0. What is a?
-1, 0, 1
Let o be 12/4 - (-210)/6. Let o + 2*a**2 + 8 - 3*a**2 + 21*a = 0. What is a?
-2, 23
Suppose 0 = 14*y - 15*y, -3*y - 48 = -q. Let -5*k**3 - 79*k**4 + k**3 + q*k - 55*k**4 - 186*k**4 + 176*k**2 + 100*k**5 = 0. What is k?
-2/5, 0, 1, 3
Let k(p) = -13*p**3 - 1454*p**2 + 28*p + 5884. Let v(y) = 15*y**3 + 1450*y**2 - 30*y - 5885. Let h(b) = 5*k(b) + 4*v(b). What is j in h(j) = 0?
-294, -2, 2
Let l(s) be the second derivative of s**5/5 - 43*s**4/3 + 248*s**3 - 3*s - 1391. Factor l(g).
4*g*(g - 31)*(g - 12)
Let c(h) be the third derivative of h**5/540 - 7*h**4/8 - 191*h**3/27 - 2650*h**2. Factor c(k).
(k - 191)*(k + 2)/9
Suppose -4*a**5 + 30*a - 279*a - 276*a**4 - 1516*a**3 - 156*a**2 + 3279*a + 284*a + 2670*a - 4032 = 0. Calculate a.
-63, -4, 1
Let i = -388674/35 + 11105. Let n(c) be the first derivative of 1/14*c**2 + 2/7*c - 1/28*c**4 - 22 + i*c**5 - 1/7*c**3. Factor n(s).
(s - 2)*(s - 1)*(s + 1)**2/7
Factor -13*i - 36 - 1/3*i**2.
-(i + 3)*(i + 36)/3
Let v(u) be the second derivative of -3*u**5/80 - 7*u**4/8 - 51*u**3/8 - 81*u**2/4 + 14*u + 7. Factor v(q).
-3*(q + 2)*(q + 3)*(q + 9)/4
Let f(u) = -u**2 + 1075*u + 1094. Let l(g) = -3*g**2 + 2138*g + 2186. Let w(p) = -15*f(p) + 6*l(p). Factor w(d).
-3*(d + 1)*(d + 1098)
Let a(i) be the third derivative of i**7/42 - 49*i**6/90 - 53*i**5/45 + 28*i**4/9 + 2*i**2 - 137. Determine v, given that a(v) = 0.
-8/5, 0, 2/3, 14
Let b(j) be the first derivative of -3*j**4/16 + 4*j**3 - 45*j**2/2 - 1713. Solve b(a) = 0.
0, 6, 10
Let u(a) be the first derivative of -a**6/80 + 9*a**5/160 - a**4/16 + 118*a + 245. Let w(h) be the first derivative of u(h). Factor w(q).
-3*q**2*(q - 2)*(q - 1)/8
Let d be (-5)/(-3)*180/450. Factor 2*q**2 + 4/3*q + d*q**3 + 0.
2*q*(q + 1)*(q + 2)/3
Factor 3*s**3 + 71289 + 5554*s - 525*s**2 + 3466*s + 13141*s.
3*(s - 89)**2*(s + 3)
Factor 2*n**4 + 0*n - 15/2*n**3 + 1/2*n**5 + 0 - 9*n**2.
n**2*(n - 3)*(n + 1)*(n + 6)/2
Determine b, given that 10069*b**2 - 3*b**3 - 21364*b**2 + 10740*b**2 - 22344*b + 316932 = 0.
-98, 11
Let h(j) be the third derivative of -j**5/60 + 19*j**4/8 + 59*j**3/3 + 1003*j**2. Factor h(k).
-(k - 59)*(k + 2)
Let l(z) = 2*z + 0*z + 13*z - 7*z - 6*z**2 + 2*z. Let y(k) = -7*k**2 + 11*k + 1. Let p = 3 + 1. Let h(w) = p*y(w) - 5*l(w). Find v, given that h(v) = 0.
1, 2
Let r = -47031/2 - -23517. Let l be 1/5 - 219/(-30). Factor -r*z**2 - l*z - 6.
-3*(z + 1)*(z + 4)/2
Let l(m) be the second derivative of -m**6/20 + 561*m**5/10 - 104907*m**4/4 + 6539203*m**3 - 3668492883*m**2/4 + 1201*m - 3. Let l(h) = 0. Calculate h.
187
Factor 2584*o - o**2 - 14*o**2 - 5201*o - 125 - o**3 + 2542*o.
-(o + 5)**3
Let o(s) = 25*s**3 - 2960*s**2 + 7510*s + 3475. Let c(l) = -25*l**3 + 2959*l**2 - 7510*l - 3474. Let w(q) = -5*c(q) - 6*o(q). Let w(d) = 0. What is d?
-2/5, 3, 116
Let j(t) be the second derivative of 2*t**4/15 + 337*t**3/15 + 84*t**2/5 - 10*t - 69. Find c such that j(c) = 0.
-84, -1/4
Determine t so that 46/5*t**4 + 0 + 122/5*t**2 + 126/5*t**3 + 2/5*t**5 + 8*t = 0.
-20, -1, 0
Let c(j) = 2*j + 24. Let b be c(-9). Let h be 14/b - (-12)/(-12). Suppose 0*f + 2/3*f**4 - h*f**3 + 0*f**2 + 0 = 0. What is f?
0, 2
Factor 231/2*l + 675 + 1/2*l**2.
(l + 6)*(l + 225)/2
Factor -7*z**4 + 11*z**5 - 12*z**5 - 3*z**4 + 4*z**4 + 3*z**5 - 8*z**3.
2*z**3*(z - 4)*(z + 1)
Suppose 2*r = 4*n - 7*n, 0 = 3*r - 5*n. Let d be (-2)/(-4) - 21/(-6). Find w, given that -d + 3 + r*w**2 + 3 - 2*w**2 = 0.
-1, 1
Suppose -1 + 36 = 77*t - 196. Let z(n) be the first derivative of -2/13*n**2 + 6/13*n - 35 - 2/39*n**t. Let z(o) = 0. Calculate o.
-3, 1
Let i be 0 + (404/(-12524) - 6267/(-155)). Find c, given that -i*c**4 + 64*c - 26*c**5 + 32/5 + 160*c**2 + 88*c**3 = 0.
-2, -1, -2/5, -2/13, 2
Let j(h) be the first derivative of 12*h + 5*h**2 - 38 - 8/3*h**3. Factor j(c).
-2*(c - 2)*(4*c + 3)
Solve 6/11*w**3 - 2/11*w**5 + 48/11*w - 24/11*w**4 + 0 + 76/11*w**2 = 0.
-12, -1, 0, 2
Let y(f) = -20*f**3 - 4*f**2 + 83*f - 134. Let w(x) = 54*x**3 + 12*x**2 - 248*x + 400. Let b(z) = -3*w(z) - 8*y(z). Factor b(q).
-2*(q - 4)*(q - 2)*(q + 8)
Let j(n) be the second derivative of -n**7/42 + 7*n**6/10 - 31*n**5/20 - 43*n**4/4 - 38*n**3/3 + 2*n - 3996. Let j(m