6/12 + z**5/15 - 192*z**2. Let h(w) = 3*w**4 - 5*w**3 - 2*w**2. Let v(b) = 9*h(b) + 4*y(b). Solve v(p) = 0.
-2/7, 0, 1
Let u(j) be the second derivative of 1/20*j**4 + 53/10*j**3 - 81/5*j**2 - 10 - 2*j. Factor u(k).
3*(k - 1)*(k + 54)/5
Let b be ((-8)/14)/(6 + 480/(-70)). Let t be 2/24*4/6*8. Determine n, given that -b - t*n + 2/9*n**2 = 0.
-1, 3
Let p(q) be the second derivative of -q**7/210 - 4*q**6/45 + 3*q**5/10 + 4*q**3 + 10*q - 1. Let f(b) be the second derivative of p(b). Factor f(y).
-4*y*(y - 1)*(y + 9)
Let l(s) = 725*s - 4346. Let o be l(6). Factor 5/2*p**4 + o - 10*p + 13/2*p**3 - 3*p**2.
(p - 1)*(p + 2)**2*(5*p - 2)/2
Let v(l) be the second derivative of -4 - 1/6*l**4 - 2/9*l**3 + 0*l**2 + 11*l + 1/45*l**6 + 0*l**5. Let v(i) = 0. What is i?
-1, 0, 2
Let x be ((-24)/28)/(1/7). Let o be 1 - 1*(-5 - x). Solve o + 4/7*d - 2/7*d**2 = 0 for d.
0, 2
Let r(n) = -n**3 - 15*n**2 + 29*n - 448. Let x be r(-18). Factor 1/11 + 3/11*p**x + 1/11*p**3 + 3/11*p.
(p + 1)**3/11
Let q(j) be the second derivative of j**4/42 + 1529*j**3/21 - 1530*j**2/7 + 8232*j. Determine b, given that q(b) = 0.
-1530, 1
Suppose 5*j + 5 = 3*y, 5*j + 3*y - 30 = -y. Let v(p) be the third derivative of 0*p + 1/36*p**5 + 0 + 0*p**3 - 5/36*p**4 + 11*p**j. Solve v(b) = 0.
0, 2
Let q(i) be the first derivative of -i**9/1008 + i**7/280 - 7*i**3/3 - i**2/2 - 42. Let g(h) be the third derivative of q(h). Solve g(v) = 0 for v.
-1, 0, 1
Let x(z) = -z**3 - 18*z**2 - 3*z - 16. Let u be x(-18). Solve -u - 20*t + 27 + 4*t**2 + 35 = 0 for t.
2, 3
Let l(f) = 3*f**2 + 316*f - 12502. Let d(x) = -x**2 + 4. Let q = 25 + -20. Let h(k) = q*d(k) + l(k). Determine w so that h(w) = 0.
79
Suppose 12*p + 143 = -14*p + 195. Factor 2*o - 1/5*o**p - 5.
-(o - 5)**2/5
Suppose 94 = -91*o + 138*o. Let k(x) = x**2 - x. Let p be k(2). Factor -2*b**2 - 35*b - 30 - 6*b**o + b**2 + 2*b**p.
-5*(b + 1)*(b + 6)
Let t(a) be the first derivative of a**6/12 - 12*a**5/5 + 81*a**4/4 - 88*a**3/3 - 363*a**2/4 - 1113. Suppose t(d) = 0. Calculate d.
-1, 0, 3, 11
Let j(q) be the third derivative of -q**5/360 + 527*q**4/36 - 2*q**2 + 472*q + 1. Factor j(d).
-d*(d - 2108)/6
Suppose -2*o = 5*k - 26, 0 = k - 3*k + 8. Let -i**3 + 3 - 4 - 2 + o*i**2 - 48*i + 49*i = 0. Calculate i.
-1, 1, 3
Let y = 175 + -100. Suppose y*j = 26*j. Find h, given that j*h + 5/3*h**5 + 0 - 65/3*h**4 - 60*h**2 + 80*h**3 = 0.
0, 1, 6
Let p = -83 - -81. Let s(q) = -q**3 + q**2. Let o(r) = 3*r**3 + 7*r**2 + 24*r + 20. Let w(g) = p*s(g) - o(g). Factor w(l).
-(l + 2)**2*(l + 5)
Let t(a) = -160*a**3 - 1365*a**2 + 9760*a + 48940. Let c(r) = -15*r**3 - 128*r**2 + 915*r + 4588. Let d(i) = 85*c(i) - 8*t(i). Suppose d(u) = 0. What is u?
-11, -4, 7
Let w = -251/690 - -176/115. Suppose 3*i = i + 4. Determine t so that -1/6*t**3 - 5/6*t**i - 1/2 - w*t = 0.
-3, -1
Let u(p) be the second derivative of -4*p**6/105 + 3*p**5/7 - 34*p**4/21 + 16*p**3/7 - 3495*p. Suppose u(o) = 0. What is o?
0, 3/2, 2, 4
Let h(f) be the first derivative of -f**3/5 - 774*f**2/5 - 199692*f/5 - 1103. Solve h(x) = 0.
-258
Let m(u) = -67*u + 875. Let c be m(13). Let o(r) be the third derivative of 1/180*r**6 - 24*r**3 - 1/5*r**5 + 3*r**c + 0*r + 17*r**2 + 0. Factor o(v).
2*(v - 6)**3/3
Let n(u) be the first derivative of 7*u**6/66 + 137*u**5/55 + 531*u**4/44 + 799*u**3/33 + 259*u**2/11 + 120*u/11 + 2857. Suppose n(s) = 0. What is s?
-15, -2, -1, -4/7
Let y(q) be the second derivative of q**7/126 + 11*q**6/90 + 11*q**5/20 + 37*q**4/36 + 7*q**3/9 + q + 93. Factor y(v).
v*(v + 1)**2*(v + 2)*(v + 7)/3
Let i(r) be the second derivative of -r**5/20 + 221*r**4/6 + 890*r**3/3 + 892*r**2 - 4*r - 577. Factor i(w).
-(w - 446)*(w + 2)**2
Let s(k) = -115*k + 690. Let y be 2/((-44)/(-33))*4. Let l be s(y). Factor -2*m**3 + 0 - 1/2*m**5 - 2*m**4 + l*m + 0*m**2.
-m**3*(m + 2)**2/2
Let w(n) be the first derivative of -n**5/270 - 31*n**4/108 - 4*n**2 - 2*n + 55. Let c(g) be the second derivative of w(g). Suppose c(p) = 0. What is p?
-31, 0
Solve 19*o - 18*o**3 - 27*o**4 + 17*o**4 + 12 + 42*o**5 + 2*o**4 - 43*o**5 - 4*o**2 = 0.
-4, -3, -1, 1
Let w = -171 - -176. Factor 16*f**4 + 10*f**3 + 2*f**w + 0*f**5 - 28*f**4 - 4*f**2 + 4*f**4.
2*f**2*(f - 2)*(f - 1)**2
What is v in 1533 - 40 - 5616*v + 3915 + 210*v**2 - 2*v**3 = 0?
1, 52
Let r(l) = -33*l**3 - 41*l**2 + 133*l - 33. Let u(o) = 18*o**3 + 20*o**2 - 67*o + 15. Let c(f) = -7*r(f) - 13*u(f). Factor c(s).
-3*(s - 6)*(s - 2)*(s - 1)
Factor -r**2 - 6 + 3*r**2 + 21*r + 22*r - 48*r - r**2.
(r - 6)*(r + 1)
Let w = -1036471/3 - -345491. What is r in -10 + 14/3*r**2 - w*r**3 - 14/3*r = 0?
-1, 3, 5
Let d(z) = -2*z**2 - 14*z - 1. Let p be d(-7). Let w(f) = 4*f**2 - f + 2. Let m be w(p). Suppose -4*x**2 + m*x**2 + 6*x - 8 - 4*x**2 = 0. What is x?
2, 4
Let x = 62 + -62. Suppose x*z + 263 = z. Determine k, given that 227*k**2 - z*k**2 + 30*k**5 + 10*k + 14*k + 45*k**4 - 42*k**3 - 3*k**5 = 0.
-2, -1, 0, 2/3
Let n = -98 - -362. Suppose 0*v = -4*v + n. Factor 96*s**2 - v*s + 39 + 25 + 4*s**4 - 32*s**3 - 62*s.
4*(s - 2)**4
Let a be 5/(280/(-24)) - 24/(-7). Determine v, given that 12*v**2 - 31*v**3 - 5*v**3 + 36*v + 9*v**a - 3*v**5 - 18*v**4 = 0.
-3, -2, 0, 1
Suppose 0 = 8*x + 1002 - 1002. Factor 1/4*a**4 - 1/4*a**2 + 1/4*a**3 - 1/4*a + x.
a*(a - 1)*(a + 1)**2/4
Let c = 6070 - 6066. Let a(r) be the third derivative of 1/10*r**6 + 0 + 4/105*r**7 + 0*r**c + 0*r + 0*r**3 + 7*r**2 - 2/15*r**5. Factor a(b).
4*b**2*(b + 2)*(2*b - 1)
Let t = -540 + 542. Solve 22*s + 7*s**5 - 2*s**5 + 59*s**4 - 19*s**4 + 75*s**3 + 0*s**3 - 102*s - 40*s**t = 0.
-4, -1, 0, 1
Suppose -2*t + 268 + 56 = 0. Let x be ((-12)/t)/((-8)/48). Factor -22/9*n + 4/9 - x*n**2 + 22/9*n**3.
2*(n - 1)*(n + 1)*(11*n - 2)/9
Suppose 35*c = -102*c + 342 - 68. Let 12/7*g - 1/7*g**3 - 9/7*g**c + 20/7 = 0. What is g?
-10, -1, 2
Let w = 69021087/266285 + -3/53257. Determine j, given that -1264/5*j**2 + 116/5*j**3 - w + 2736/5*j - 3/5*j**4 = 0.
2/3, 2, 18
Suppose -28*q = 74 - 242. Let y(f) be the second derivative of 0*f**5 - q*f + 0 + 1/6*f**6 - 5/3*f**3 - 5/4*f**4 + 0*f**2. Factor y(t).
5*t*(t - 2)*(t + 1)**2
Let w(c) = -12*c**2 - 16*c + 13. Let f(d) = -19*d**2 - 26*d + 21. Let s(n) = 5*f(n) - 8*w(n). Factor s(i).
(i - 1)**2
Let b(o) = 46*o - 1171. Let c be b(26). Let s(w) be the second derivative of -c*w + 0 + 0*w**2 + 0*w**3 + 1/4*w**5 - 5/6*w**4 + 1/6*w**6. Factor s(l).
5*l**2*(l - 1)*(l + 2)
Let q be (115/(-25) - -11) + (-6)/(-10). Factor y - 293*y**4 - 3*y - 5*y**3 - 9*y**2 + 288*y**4 - q*y**3.
-y*(y + 1)**2*(5*y + 2)
Let n(o) be the first derivative of 2*o**3/39 + 140*o**2/13 - 66*o + 4788. Solve n(q) = 0 for q.
-143, 3
Let q(c) be the second derivative of c**7/105 - c**6/15 - c**5/15 + c**4 + 3*c**3 + 45*c**2/2 - 35*c. Let m(k) be the first derivative of q(k). Factor m(a).
2*(a - 3)**2*(a + 1)**2
Let r(g) be the third derivative of -g**6/180 - 11*g**5/90 + 5645*g**2. Factor r(w).
-2*w**2*(w + 11)/3
Suppose 36 = 3*a - 5*u, -12 = -9*u + 13*u. Let x(y) = 5*y**2 + 3*y - 14. Let n(g) = -9*g**2 - 6*g + 29. Let m(l) = a*x(l) + 4*n(l). Find z such that m(z) = 0.
-6, 3
Suppose -4704*f - 54 = -4710*f. Let a(i) = -i + 11. Let u be a(f). Let 1/3*v + 1/3*v**u - 2/3 = 0. Calculate v.
-2, 1
Let i(t) be the third derivative of 0*t + 0 - 11/20*t**6 - 1331/12*t**4 - 129*t**2 - 1/105*t**7 - 121/10*t**5 + 0*t**3. Solve i(l) = 0.
-11, 0
Let r be -98 + 83752/855 - (-260)/18. Suppose 138/5*i - 68/5 + 2/5*i**3 - r*i**2 = 0. What is i?
1, 34
Let z(w) be the first derivative of w**6/24 + 19*w**5/12 - 35*w**4/4 - 15*w**2 + 107. Let a(p) be the second derivative of z(p). Factor a(s).
5*s*(s - 2)*(s + 21)
Let v(r) be the third derivative of -78961*r**5/45 + 562*r**4/3 - 8*r**3 - 6807*r**2. Factor v(a).
-4*(281*a - 6)**2/3
Let b(v) be the first derivative of 75 - 200*v**2 + 20/3*v**3 + 8000/3*v - 1/12*v**4. What is l in b(l) = 0?
20
Let r(l) be the second derivative of 3*l**5/20 + 43*l**4/12 - 271*l**3/6 - 95*l**2/2 - l + 4204. Factor r(t).
(t - 5)*(t + 19)*(3*t + 1)
Let g(w) = w**3 - 8*w**2 + 55*w - 6. Let j(r) = 10*r**2 - 55*r + 10. Let v(m) = -5*g(m) - 6*j(m). Let v(d) = 0. Calculate d.
-6, 1
Let -72*b - 14*b**5 - 343*b**2 - 570*b**3 - 237*b**4 - 19*b**5 - 143*b**2 - 6*b**2 = 0. Calculate b.
-3, -2, -2/11, 0
Let b(s) be the first derivative of 3