 + 1/230*p**5 - 1/115*p**6 + 0. Let i(v) = 0. What is v?
-1, 0, 1, 2
Let l = -532 - -535. Let g(k) be the third derivative of -23/120*k**5 + 11/48*k**6 - 7/12*k**4 + 0 - 1/3*k**l + 0*k - 2*k**2. Suppose g(h) = 0. Calculate h.
-2/5, -2/11, 1
Let l(g) be the third derivative of g**6/120 - g**5/40 - 3*g**4/4 + 17*g**3/6 + 11*g**2. Let w(c) be the first derivative of l(c). Solve w(u) = 0 for u.
-2, 3
Let s(p) be the first derivative of p**6/12 - p**5/10 - 3*p**4/8 + p**3/6 + p**2/2 + 74. Find g, given that s(g) = 0.
-1, 0, 1, 2
Factor 4*s**3 + 6*s**2 - 3*s**3 + 4*s**4 - 7*s**4 + 2*s**3.
-3*s**2*(s - 2)*(s + 1)
Let l(q) be the first derivative of -q**3/5 + 153*q**2/5 - 7803*q/5 - 190. Find c such that l(c) = 0.
51
Let a(q) be the second derivative of -2*q**6/5 - 2*q**5 - 3*q**4 - 4*q**3/3 + 6*q - 5. Factor a(i).
-4*i*(i + 1)*(i + 2)*(3*i + 1)
Let s(y) be the third derivative of y**8/168 + y**7/105 - 17*y**6/60 + y**5/2 - 135*y**2. Factor s(w).
2*w**2*(w - 3)*(w - 1)*(w + 5)
Let c(d) = -2*d - 21*d**2 + 5*d + 11 - 23*d. Let s(u) = -4*u**2 - 4*u + 2. Let p(k) = -2*c(k) + 11*s(k). Factor p(h).
-2*h*(h + 2)
Let p be (-16)/(-6)*18/12. Suppose -32*v**p + 10*v**2 - 14*v**5 + 7*v**2 + 15*v**2 + 8*v - 2*v**3 + 8*v**3 = 0. What is v?
-2, -1, -2/7, 0, 1
Let o(r) be the third derivative of r**10/90720 + r**9/36288 + 37*r**5/60 - 9*r**2. Let d(w) be the third derivative of o(w). Factor d(a).
5*a**3*(a + 1)/3
Let l = 29 - 25. Suppose -l*m = 3*r - 55, 2*r + 2*m = 17 + 21. Let 24*a**2 - 5*a - r*a**2 - 1 - a**4 + 3 + a**3 = 0. What is a?
-2, 1
Let m(w) = 3*w. Let s(h) = 4*h**3 - 8*h**2 - 3*h. Let o(t) = -3*m(t) + s(t). Factor o(d).
4*d*(d - 3)*(d + 1)
Suppose -7*n + 58 + 12 = 0. Factor 16*c + 20*c**3 + 4*c**2 + 18*c**2 + n*c**2 + 2*c**4 + 2*c**4.
4*c*(c + 1)*(c + 2)**2
Let q(x) = 2*x**2 - 18*x - 8. Let j be (7/21)/((-1)/18). Let h(m) = 5*m**2 - 37*m - 16. Let v(f) = j*h(f) + 13*q(f). Let v(p) = 0. What is p?
-2, -1
Let t = -2/15 - -79/480. Let l(k) be the third derivative of -5*k**2 + 0 + 0*k - t*k**4 - 1/240*k**5 - 1/12*k**3. Find o such that l(o) = 0.
-2, -1
Let p(k) = -22*k**2 + 81*k - 79. Let o(y) = -26*y**2 + 80*y - 78. Let q(z) = -5*o(z) + 6*p(z). Determine h so that q(h) = 0.
1, 42
Let y be 31/7 + (-24)/6 + 1. Solve -12/7*k**2 - y*k + 2/7 = 0 for k.
-1, 1/6
Suppose 2 = 3*a - 4. Find g, given that -13*g**a - 5*g**3 - 2*g**2 - 5 + 0*g**3 - 15*g = 0.
-1
Let f(h) be the first derivative of h**4/6 - 4*h**3/3 - 16*h**2/3 - 84. Factor f(j).
2*j*(j - 8)*(j + 2)/3
Let l(p) be the third derivative of -p**8/56 + 37*p**7/525 - 41*p**6/900 - p**5/150 + p**4/90 + 49*p**2 - 2. Let l(s) = 0. What is s?
-1/5, 0, 1/3, 2
Suppose 174 = -a + z, 4*z - 502 = 3*a + 6*z. Let t = 851/5 + a. Solve 1/5*h**2 + t - 2/5*h = 0.
1
Suppose -3*h + 3*v = -9, -5*v - 6 = -h - v. Find a such that -11*a**h - 10*a + 9*a**2 + 7*a**2 = 0.
0, 2
Let d(m) = 2*m**2 - 2*m - 2. Let q be d(2). Suppose 3*c = 2*v + 5, 5*c - 5 = 7*v - 2*v. Factor 7*n**q + n**4 + 2*n + 0*n + 4*n**c - 2*n**2.
n*(n + 1)**2*(n + 2)
Let x(r) be the second derivative of r**7/63 - 40*r**6/9 + 1600*r**5/3 - 320000*r**4/9 + 12800000*r**3/9 - 102400000*r**2/3 - 2*r - 13. Factor x(s).
2*(s - 40)**5/3
Let r(g) be the first derivative of g**6/18 - g**5/3 + g**4/4 + 5*g**3/9 - 2*g**2/3 + 172. Factor r(v).
v*(v - 4)*(v - 1)**2*(v + 1)/3
Suppose 284 = 9*b - 436. Let s be b/320 - ((-7)/4 + 0). Determine v so that -1/2*v**3 - 1 - 1/2*v**4 + 3/2*v**s + 1/2*v = 0.
-2, -1, 1
Factor 7*x**2 - 46*x**2 + 5*x**3 + 240*x - 46*x**2 - 180 + 20*x**2.
5*(x - 6)**2*(x - 1)
Suppose -5*g + 98 - 88 = 0. Solve -1/2*s**g + 0*s - 1/4*s**3 + 0 = 0 for s.
-2, 0
Let t = 17 + -13. Factor -z**5 - z**4 - 3*z**2 + 3*z**2 - 3*z**3 - 2*z**t - z**2.
-z**2*(z + 1)**3
Let d(z) be the first derivative of z**3/6 - 27*z**2/2 + 729*z/2 - 159. Factor d(r).
(r - 27)**2/2
Let f be 8 - (2 + 2) - -117. Let z = 194 - f. Suppose -2*u**4 - 2*u**3 - 73*u + z*u = 0. What is u?
-1, 0
Let q be 9 + (-6 + 8 - 11). Suppose q + 2/11*w**2 - 2/11*w = 0. Calculate w.
0, 1
Find r, given that 5*r**4 + 0 + 45/2*r**3 + 60*r - 265/2*r**2 = 0.
-8, 0, 1/2, 3
Let h = 2 + 2. Suppose 2*f - 2 = f. Determine a, given that 0*a**f - 3*a**2 + a**h + 2*a**2 + 0*a**4 = 0.
-1, 0, 1
Let g be (45/12)/(9/48). Let d be 2/((-2)/g*-4). Factor -30*o**3 - 31*o - 2 + 4 - 2*o**4 + 5*o**d + 4 + 52*o**2.
(o - 1)**3*(o + 3)*(5*o - 2)
Let d(r) be the third derivative of 0*r + 1/4*r**5 + 0*r**6 + 0*r**3 - 1/42*r**7 + 25*r**2 + 0 + 5/12*r**4. Determine k so that d(k) = 0.
-1, 0, 2
Suppose s - 24 = 4*q, -2*s + 4*q - 7 + 51 = 0. Determine j so that -8*j**3 + s*j**2 - 5*j**3 - 12*j**4 - 7 - 1 + 17*j**3 - 4*j = 0.
-1, -2/3, 1
Factor -17/3*c**3 + 107/2*c**2 + 1/6*c**4 - 272/3*c + 128/3.
(c - 16)**2*(c - 1)**2/6
Let m(w) be the second derivative of -7*w**5/4 + 25*w**4/6 - 5*w**3/2 + 38*w. Solve m(i) = 0.
0, 3/7, 1
Let g(q) = 2*q + 26. Let m be g(-12). Suppose 2*z = 5 - 1. What is x in -x - 3*x + 4*x**2 - m*x**z + 12*x = 0?
-4, 0
Let s(p) = -4*p**2 + 206*p - 20. Let h(b) = b**2 - 69*b + 6. Let t(d) = 20*h(d) + 6*s(d). Determine m, given that t(m) = 0.
-36, 0
Let 15/2*u**2 - 115/2*u - 20 = 0. What is u?
-1/3, 8
Factor -3/2*x**3 - 1/2*x**4 - 1/2*x - 3/2*x**2 + 0.
-x*(x + 1)**3/2
Let k be (-3)/(-4) + (-3475)/6116. Let 2/11*h**5 - 8/11*h**2 - k*h**3 + 0 + 8/11*h**4 + 0*h = 0. Calculate h.
-4, -1, 0, 1
Let s(b) be the third derivative of b**8 - 36*b**7/7 - 329*b**6/40 - 9*b**5/2 - b**4 + 2*b**2 - 20*b. Find p, given that s(p) = 0.
-2/7, -1/4, 0, 4
Determine c so that 10*c + 14 + 6*c - 6 - 28*c + 4*c**3 + 0*c**3 = 0.
-2, 1
Let o(s) be the second derivative of 1/21*s**4 + 2/35*s**6 + 3/35*s**5 + 0 - 53*s + 2/147*s**7 + 0*s**3 + 0*s**2. Factor o(n).
4*n**2*(n + 1)**3/7
Let k be 1*(0/(-9))/(2 + 0). Factor 10*d**2 - 2*d**2 + 3*d + d + k*d.
4*d*(2*d + 1)
Let d(r) be the second derivative of -r**6/30 - r**5/20 + 5*r**4/4 - 23*r**3/6 + 5*r**2 + 2*r - 31. Determine x, given that d(x) = 0.
-5, 1, 2
Let m = 15071/2685 + -7/537. Let 4/5*l**2 + 0*l + 2*l**3 + 0 - m*l**5 - 22/5*l**4 = 0. What is l?
-1, -2/7, 0, 1/2
Let z(c) be the second derivative of -2*c**7/63 - 2*c**6/9 - 7*c**5/15 + c**4/9 + 16*c**3/9 + 8*c**2/3 - 41*c. What is r in z(r) = 0?
-2, -1, 1
Let o(a) = a**3 - 10*a**2 + 31*a - 28. Let s be o(3). Factor -12/5 - 24/5*f**4 + 66/5*f**3 + 3/5*f**5 - 84/5*f**s + 51/5*f.
3*(f - 4)*(f - 1)**4/5
Let y(i) be the third derivative of -i**6/960 + i**5/480 + i**4/96 - 160*i**2. Find o, given that y(o) = 0.
-1, 0, 2
Let y be 2 - (44/(-11) - -3). Let g(j) be the second derivative of 4/3*j**4 - 1/2*j**5 + 3*j - 1/3*j**y + 0 - 2*j**2. Factor g(v).
-2*(v - 1)**2*(5*v + 2)
Let i(c) be the third derivative of -c**8/30240 + c**7/630 - c**6/30 - 3*c**5/10 - 19*c**2. Let b(t) be the third derivative of i(t). Factor b(m).
-2*(m - 6)**2/3
Let z be 216/(-63) + 3 + 2270/(-28). Let b = -81 - z. Factor 0*l + 3*l**4 + 0 + 11/4*l**3 + b*l**2 - 9/4*l**5.
-l**2*(l - 2)*(3*l + 1)**2/4
Let g be 0/(2 + 2 + (-54)/9). Factor -1/8*d - 1/8*d**2 + g.
-d*(d + 1)/8
Let u(a) be the second derivative of a**5/30 - a**4/3 + 8*a**3/9 - a + 21. Let u(c) = 0. Calculate c.
0, 2, 4
Suppose 44*n**2 + 11*n**4 - 52*n**3 + 32*n - 52*n**5 + 110*n**5 - 59*n**5 + 12*n**3 - 64 = 0. What is n?
-1, 2, 4
Let f(i) = 3*i + 23. Let q(w) = -2*w - 22. Let z(c) = -3*f(c) - 4*q(c). Let s be z(16). Factor -b + b**s + 0*b**2 - 1/2 + 1/2*b**4.
(b - 1)*(b + 1)**3/2
Let k(d) = d**3 - 11*d**2 + 9*d + 12. Let i be k(10). Factor 12 + 8*v - 8*v**2 - 12*v**2 + 16*v**i.
-4*(v - 3)*(v + 1)
Let 4*h**3 + 0*h**2 - 4/5*h**4 - 6/5*h**5 + 4/5 - 14/5*h = 0. Calculate h.
-2, -1, 1/3, 1
Let o be (-23 - -2)/((-9)/(-12)). Let w = 31 + o. What is k in 0 - 9/7*k**w - 5/7*k**4 + k**5 + 5/7*k**2 + 2/7*k = 0?
-1, -2/7, 0, 1
Determine g so that -32*g**3 + 24*g**4 + 64*g**2 - 4*g**4 - 28*g**4 + 64*g + 4*g**5 - 128 = 0.
-2, 2
Let o(y) be the first derivative of -2*y**5/5 - y**4/2 + 2*y**3 + 5*y**2 + 4*y - 158. Solve o(c) = 0.
-1, 2
Let n = -1/28431 + 3174797/56862. Let m = 56 - n. Determine v so that 1/3 - 1/6*v**2 + m*v = 0.
-1, 2
Let c be ((-60)/450)/((-4)/18). Factor -c*z**2 + 2/5 - z.
-(z + 2)*(3*z - 1)/5
Let y(u) be the second derivative of -41*u + 11*u**3 - 7/6*u**4 + 0 + 10*u**2. Solve y(h) = 0 for h.
-2/7, 5
Let j(p) be the first d