 + 6 + w*t**3 + 8/5*t. Suppose c(z) = 0. What is z?
1, 2
Let z(u) be the third derivative of -u**7/840 - u**6/90 + u**5/24 + 19*u**3/6 + 17*u**2. Let b(s) be the first derivative of z(s). Factor b(k).
-k*(k - 1)*(k + 5)
Let f(h) be the third derivative of -h**5/600 + 3*h**4/80 + h**3/6 - 126*h**2. Find u such that f(u) = 0.
-1, 10
Suppose -3*u + 18 = -4*x, 1266*u + 30 = -2*x + 1271*u. Factor 3/2*k**3 + 0 - 1/4*k**4 + x*k - 9/4*k**2.
-k**2*(k - 3)**2/4
Let l(j) = j + 9. Let t be l(-4). Let h(q) = q - 2. Let p be h(t). Factor 0*n**2 + 6*n**4 + p*n**2 - 9*n**4.
-3*n**2*(n - 1)*(n + 1)
Let z(l) = l**3 - l**2 + 6*l + 8. Let a = 55 - 41. Let n(j) = -j - 1. Let t = 6 + -4. Let d(i) = a*n(i) + t*z(i). Determine v so that d(v) = 0.
-1, 1
Let h = -77 - -93. Suppose b - m - 4 = -4*b, -h = b + 4*m. What is a in 1/3*a**5 - 2/3*a**2 + 2/3*a**4 + 0 + b*a - 1/3*a**3 = 0?
-2, -1, 0, 1
Let h(p) = 4*p**2 - 3*p - 3. Let l be h(-1). Suppose -2*b + 11 = 4*i - 3, -l*i - 5*b + 23 = 0. Factor s + 23 - i*s - 21 - s**2.
-(s - 1)*(s + 2)
Let x(n) be the first derivative of 4*n**2 - 1 + 14/9*n**3 - 8/3*n. Suppose x(r) = 0. What is r?
-2, 2/7
Let f(k) = 2*k**3 + 8*k**2 - 2*k - 11. Let q be f(-6). Let s = -139 - q. Factor -3/2*p**2 + 0*p - 3/4*p**s - 9/4*p**3 + 0.
-3*p**2*(p + 1)*(p + 2)/4
Let g(n) be the second derivative of 0*n**2 - 5/3*n**3 - n**5 + 0 + 25/12*n**4 - 15*n + 1/6*n**6. Factor g(c).
5*c*(c - 2)*(c - 1)**2
Let r be 10/8 + 153/(-136). Let o(n) be the second derivative of 1/60*n**6 + 0 - 1/10*n**5 + 1/3*n**3 - n**2 - 3*n + r*n**4. Factor o(v).
(v - 2)**2*(v - 1)*(v + 1)/2
Suppose -k + 23 = 5*f, -5*f - 3*k + 14 = -f. Let j(r) = r**2 - 4*r - 2. Let p be j(f). Find b such that -4*b**3 - 1 + p*b**2 + b**3 + 1 = 0.
0, 1
Let d(h) be the first derivative of -4*h**5/15 + 5*h**4/3 + 52*h**3/9 + 14*h**2/3 + 60. Factor d(j).
-4*j*(j - 7)*(j + 1)**2/3
Let x(f) be the first derivative of -5*f**4/4 + 14*f**3 + 149*f**2/2 - 66*f - 767. Find l, given that x(l) = 0.
-3, 2/5, 11
Determine d so that 0 + 16/3*d + 8/9*d**3 - 58/9*d**2 + 2/9*d**4 = 0.
-8, 0, 1, 3
Let i(o) be the second derivative of o**6/12 - 7*o**5/8 + 25*o**4/24 + 35*o**3/12 - 15*o**2/2 + 9*o + 8. Factor i(n).
5*(n - 6)*(n - 1)**2*(n + 1)/2
Let j(z) be the first derivative of z**3/3 - 2*z**2 + 5*z - 11. Let d be j(3). Suppose 4 - 14/3*x - d*x**2 = 0. Calculate x.
-3, 2/3
Let u be 2/2*51/612 - (-33)/4. Solve -170/3*q**2 - 124/3*q - u*q**3 - 8 = 0.
-6, -2/5
What is k in 3/2*k + 5/4 + 1/4*k**2 = 0?
-5, -1
Let b(l) be the second derivative of 7*l**7/8 + 77*l**6/8 + 3261*l**5/80 + 1323*l**4/16 + 81*l**3 + 81*l**2/2 - 276*l. Determine w, given that b(w) = 0.
-3, -2, -3/7
Let n = -2 - -6. Suppose 2*s + 2*s - 2*i - 32 = 0, 2*s = -n*i + 6. Factor -7*u**3 - 2*u**4 + 5*u - 4 + 6*u**2 - s*u + 9*u**3.
-2*(u - 2)*(u - 1)*(u + 1)**2
Factor -b**2 + 35 - 12 + 87*b + 22 + 19 + 24.
-(b - 88)*(b + 1)
Let j(n) = 244*n + 10. Let i be j(1). Let v be i/(-66) + (-2)/(-11) + 4. Factor -v*k**4 - 2/3 + k**2 + 1/3*k - 1/3*k**3.
-(k - 1)**2*(k + 1)*(k + 2)/3
Let d(x) be the first derivative of x**6/15 - 4*x**5/25 - 39*x**4/10 - 136*x**3/15 - 32*x**2/5 + 266. Suppose d(b) = 0. Calculate b.
-4, -1, 0, 8
Suppose -c = -5*a + 271, -2*c = -5*a - 3*c + 269. Find k such that -a - 176*k + 3*k**4 - 2*k**5 - 92*k**3 - 9*k**4 - 180*k**2 - 16*k**4 + 14*k = 0.
-3, -1
Let i(m) be the second derivative of m**7/840 - m**6/180 + m**5/120 + 2*m**3/3 + 4*m. Let k(c) be the second derivative of i(c). Let k(q) = 0. What is q?
0, 1
Let k(b) be the second derivative of 1/30*b**5 + 49/3*b**2 + 35/9*b**3 + 0 + 18*b - 13/18*b**4. Determine i, given that k(i) = 0.
-1, 7
Let a(d) be the first derivative of 5/4*d**4 - 3/20*d**5 + 9/2*d**2 - 7*d + 3 - 7/2*d**3. Let l(u) be the first derivative of a(u). Factor l(y).
-3*(y - 3)*(y - 1)**2
Let l be ((-114)/12)/((-4)/16). Factor 70*p**3 - 30*p**4 + 5*p**5 - 56*p**2 + 45*p - 10 + 14*p**2 - l*p**2.
5*(p - 2)*(p - 1)**4
Let m = -27 + 27. Find v, given that 4/9*v**3 + 4/9*v**2 - 8/9*v + m = 0.
-2, 0, 1
Let y(h) be the first derivative of -h**6/1260 + h**5/210 - 8*h**3/3 + 12. Let o(j) be the third derivative of y(j). Suppose o(w) = 0. Calculate w.
0, 2
Let p(d) be the first derivative of d**4/4 - 19*d**3/3 - 10*d**2 + 272. Find o such that p(o) = 0.
-1, 0, 20
Suppose 12*l**2 - 18*l**3 - 4*l - 7*l + 12*l**4 + 5*l + 3*l - 3*l**5 = 0. What is l?
0, 1
Let a = 5 + -2. Let z(w) = w**3 - w**2 - 4*w + 2. Let i be z(a). Factor 2*y - i*y - 7*y**2 - 2 + 3*y**2 + y - y**3.
-(y + 1)**2*(y + 2)
Suppose 4*z - 233 - 467 = 0. Let u be z/21 + 4/6. Factor 5*p**2 + 2 - 3*p**3 - u*p + 1 + 4*p**2.
-3*(p - 1)**3
Let w(n) be the third derivative of -n**5/60 - 5*n**4/8 + 17*n**2. Factor w(b).
-b*(b + 15)
Let b(j) = j + 30. Let z be b(-25). Suppose -10 - z - m**3 - 5*m**2 - 31*m + 6*m**3 + 6*m = 0. What is m?
-1, 3
Let a(m) = -3*m**2 - 47*m - 49. Let b(g) = g**2 + 16*g + 16. Let v(z) = -4*a(z) - 11*b(z). Let n be v(-10). Solve 0*l + 4/3*l**3 + l**4 + n + 1/3*l**2 = 0.
-1, -1/3, 0
Let m(j) be the first derivative of 1/12*j**4 - 1 + 0*j + 8/3*j**2 + 8/9*j**3. Let m(g) = 0. What is g?
-4, 0
Factor -12/7*j**2 + 2/7*j**3 + 16/7*j + 0.
2*j*(j - 4)*(j - 2)/7
Let g(h) be the first derivative of 1/9*h**3 - 8*h + 3 - 1/36*h**4 - 1/6*h**2. Let r(c) be the first derivative of g(c). Factor r(o).
-(o - 1)**2/3
Let q(g) be the second derivative of g**9/7560 - g**7/630 + g**5/60 - 5*g**4/4 - 21*g. Let o(c) be the third derivative of q(c). Solve o(d) = 0.
-1, 1
Let c = 38/29 + 169/203. Factor 0 - 3/7*r**4 - 12/7*r**3 - 6/7*r - c*r**2.
-3*r*(r + 1)**2*(r + 2)/7
Suppose 1 = 4*v + 5. Let b(o) = -o**2 + o. Let n(a) = 2*a**2 - 48*a - 242. Let p(l) = v*n(l) - 4*b(l). Factor p(c).
2*(c + 11)**2
Factor -20*d - 4*d**3 - 16*d**2 + 48 + 8*d**2 + 11*d**2 - 27*d**2.
-4*(d - 1)*(d + 3)*(d + 4)
Let s(q) be the third derivative of q**5/20 - 101*q**4/4 + 10201*q**3/2 - 21*q**2. Solve s(m) = 0 for m.
101
Let b(o) be the second derivative of o**4/72 - 5*o**3/3 + 75*o**2 - 108*o. Factor b(w).
(w - 30)**2/6
Let 16/5*b + 5*b**2 + 1/10*b**4 - 48/5 + 13/10*b**3 = 0. Calculate b.
-6, -4, 1
Find v such that -272*v**3 + 10*v**2 + 11*v - 269*v**3 + 540*v**3 = 0.
-1, 0, 11
Let k be 1 - (3479/(-1617) - 4/22). Let x(p) be the second derivative of -4/3*p**4 - 9*p + 0 + k*p**3 + 1/5*p**5 - 4*p**2. Factor x(f).
4*(f - 2)*(f - 1)**2
Factor 3*w**3 + 48*w**2 + 69*w + 8 + 7*w**2 + 2 + 14 - 7.
(w + 1)*(w + 17)*(3*w + 1)
Let u(o) = -9*o**3 - 192*o**2 - 2319*o. Let l(p) = -8*p**3 - 192*p**2 - 2316*p. Let g(b) = 5*l(b) - 4*u(b). Let g(f) = 0. What is f?
-24, 0
Let l(t) be the second derivative of -49*t**4/30 - 84*t**3/5 - 324*t**2/5 - 57*t. Suppose l(u) = 0. What is u?
-18/7
Let u be 2/9 - 332426/(-21861). Let -54/7 + 16/7*n**3 + u*n - 72/7*n**2 = 0. Calculate n.
3/2
Let m = 1851 - 27763/15. Factor -2/5*x**2 + 8/15 + m*x**3 + 0*x.
2*(x - 2)**2*(x + 1)/15
Suppose -12/23*a**3 - 4/23*a**4 + 8/23*a**2 + 12/23 + 26/23*a + 2/23*a**5 = 0. Calculate a.
-1, 2, 3
Let a(s) be the third derivative of 5*s**8/336 - s**7/21 - s**6/4 + 5*s**5/3 - 95*s**4/24 + 5*s**3 + 151*s**2. Factor a(b).
5*(b - 2)*(b - 1)**3*(b + 3)
Let l(m) be the second derivative of 1/12*m**3 + 0*m**2 + 0*m**5 - 1/16*m**4 + 1/120*m**6 - 4*m + 0. Factor l(n).
n*(n - 1)**2*(n + 2)/4
Let m(j) = -5*j**3 + j**2 + 8*j - 8. Let c(l) = -6*l**3 + 8*l - 7. Let a(d) = -4*c(d) + 5*m(d). Let v be a(6). Factor 21/4*k**4 + 0*k + v*k**2 + 0 + 3/2*k**3.
3*k**3*(7*k + 2)/4
Let b(j) be the second derivative of 5*j**4/7 - 13*j**3/7 + 9*j**2/7 + j - 24. Find s, given that b(s) = 0.
3/10, 1
Suppose -2*y - 31 = -2*a - 7*y, 0 = -4*a - 4*y + 32. Factor -3/8*o**2 + 3/8*o**a + 0*o + 0.
3*o**2*(o - 1)/8
Let k(f) = -3*f**3 - f - 1. Let t(m) = -20*m**3 - 22*m**2 - 26*m - 6. Let a(g) = 6*k(g) - t(g). Factor a(d).
2*d*(d + 1)*(d + 10)
Let b(u) be the first derivative of -1029/2*u - 33/4*u**4 - 84*u**3 - 3/10*u**5 - 735/2*u**2 + 37. Factor b(h).
-3*(h + 1)*(h + 7)**3/2
Let w be (-3)/(15/10)*-1 - 0. Factor -1/3*k**w + 0*k + 1/3*k**5 + 0 - 1/3*k**3 + 1/3*k**4.
k**2*(k - 1)*(k + 1)**2/3
Let d = -2 - -23. Let j be 4*(d/(-6))/(-7). Determine w so that w**4 - w**3 - 6*w - 3*w**j + 6*w + w**2 = 0.
-1, 0, 2
Let o(s) be the first derivative of -s**4/16 + s**2/2 + 117. Factor o(j).
-j*(j - 2)*(j