-t**8/14280 - t**7/2380 + 19*t**3/6 + 17*t. Let m(a) be the second derivative of k(a). Factor m(i).
-2*i**3*(i + 3)/17
What is n in -1/5*n**4 + 0 + 7/5*n**2 + 0*n**3 - 6/5*n = 0?
-3, 0, 1, 2
Let v be (3/4)/(1/4). Let d be -2 + 18/v + -4. Factor d*a**2 + 4 + a**2 - 6 - 3*a**2 - 4*a.
-2*(a + 1)**2
Let z(n) be the second derivative of -6*n**7/7 + 52*n**6/5 - 37*n**5/5 - 92*n**4/3 + 56*n**3/3 + 64*n**2 - 827*n. Find m such that z(m) = 0.
-2/3, 1, 8
Let i be 218/(-11) + (-1260)/(-63). Find r such that 4/11*r - 2/11*r**3 + 0 - i*r**2 = 0.
-2, 0, 1
Let w(o) be the first derivative of o**6/24 - o**5/5 + o**4/4 + o**3/6 - 5*o**2/8 + o/2 - 22. Suppose w(q) = 0. Calculate q.
-1, 1, 2
Factor 2/25*v**3 - 4/25*v + 0 - 2/25*v**2.
2*v*(v - 2)*(v + 1)/25
Let a = 1703 + -1699. Factor 0 - 1/4*s**a + 0*s**2 + 0*s + 1/2*s**3.
-s**3*(s - 2)/4
Let b be (-675)/(-4536) - (-6)/144. Let -b*w**2 + 0 + 2/21*w = 0. Calculate w.
0, 1/2
Suppose 5*j = -320 - 1000. Let p be (-4)/14 + j/(-385). Find b such that p + 0*b - 2/5*b**2 = 0.
-1, 1
Let a be 2 + (2 - 2)/2. Find r, given that r**3 - r**2 - 2*r**5 + r**3 - r**a + 2*r**4 = 0.
-1, 0, 1
Let d be 90/20*(-3 + 2 - 1). Let j be 1*(-70)/(-15) - (-6)/d. Factor -5*a**5 - 5/3*a**3 + 20/3*a**j + 0 + 0*a**2 + 0*a.
-5*a**3*(a - 1)*(3*a - 1)/3
Let g = -21 + 3. Let z = 30 + g. Solve -z + 6*j**2 + 3*j - 2*j**2 + 5*j = 0.
-3, 1
Let t(d) = d**3 + 10*d**2 + 8*d - 17. Let g be t(-8). Determine v so that 6*v**3 + 4*v**5 - 4 + 10*v**2 + 3*v**5 + 33*v**4 + g*v**3 + 21*v**2 = 0.
-2, -1, 2/7
Solve -2/5*j - 3/5*j**2 + 1/5*j**4 + 0 + 0*j**3 = 0 for j.
-1, 0, 2
Let h(d) be the third derivative of d**9/60480 + d**8/10080 + 3*d**5/10 - 16*d**2. Let r(t) be the third derivative of h(t). Solve r(c) = 0 for c.
-2, 0
Suppose -64 = 167*m - 183*m. Let -9*v**2 - 6*v - 3/2 - 3/2*v**m - 6*v**3 = 0. What is v?
-1
Suppose 8*m = 2*m - 18. Let n = m - -3. Solve 0*k**2 + 2/5*k + 0*k**4 + n + 2/5*k**5 - 4/5*k**3 = 0.
-1, 0, 1
Let v(g) be the first derivative of 5*g**3/3 - 450*g**2 + 40500*g + 235. Factor v(n).
5*(n - 90)**2
Suppose 5*j + 2*n + 195 = n, 4*n = -4*j - 156. Let g be (2/2)/((-13)/j). Factor w**5 - g*w**4 - 4*w**2 + 8*w**2 - 5*w**2 + 3*w**3.
w**2*(w - 1)**3
Let q(o) be the second derivative of 9*o**7/4 - 179*o**6/20 - 1291*o**5/60 - 59*o**4/18 + 50*o**3/9 + 8*o**2/3 + 18*o. Suppose q(x) = 0. What is x?
-1, -2/9, 2/7, 4
Let k be (-9 - 1 - -14) + 0/(-4). Factor 6/5*p**k - 6/5*p**3 - 12/5*p**2 + 0 + 0*p.
6*p**2*(p - 2)*(p + 1)/5
Let w = 231 + -228. Let g(u) be the second derivative of 1/6*u**4 + 0 + 0*u**2 - 2/3*u**w + 2*u. Factor g(r).
2*r*(r - 2)
Suppose -2*r - 3/4 + 1/4*r**4 + 0*r**3 - 3/2*r**2 = 0. What is r?
-1, 3
Determine i so that i**2 + 35*i + 12*i**2 + 47 - 3*i**2 - 27 - 5*i**3 = 0.
-1, 4
Let t(s) be the third derivative of 12*s**2 + 1/60*s**5 + 0*s - 1/24*s**4 + 0*s**3 + 0. Factor t(d).
d*(d - 1)
Determine h, given that 21/4*h**2 - 3*h + 0 + 3/8*h**5 - 3/2*h**4 - 9/8*h**3 = 0.
-2, 0, 1, 4
Let g(j) = j**2 - 8*j + 2. Suppose -4 - 4 = -b. Let l be g(b). Factor 0 + 0*k + k**4 + 1/3*k**l + 4/3*k**3.
k**2*(k + 1)*(3*k + 1)/3
Let p(g) = 40*g**2 + 821*g + 826. Let v(i) = -9*i**2 - 205*i - 206. Let n(u) = -4*p(u) - 18*v(u). Solve n(z) = 0.
-202, -1
Let g be (-6)/(-9) + -649*(-3)/(-45). Let n = 43 + g. Determine l so that -2*l - 2/5*l**2 + n*l**3 - 6/5 = 0.
-1, 3
Let t(l) be the third derivative of -l**9/4536 + l**8/840 - 17*l**3/6 + 23*l**2. Let h(d) be the first derivative of t(d). Factor h(z).
-2*z**4*(z - 3)/3
Let o(j) be the first derivative of -5*j**4/4 - 25*j**3/3 - 10*j**2 - 97. Factor o(l).
-5*l*(l + 1)*(l + 4)
Factor -52/7*f**2 - 8*f + 0 + 4/7*f**3.
4*f*(f - 14)*(f + 1)/7
Factor -3/8*d**3 - 81000 - 4050*d - 135/2*d**2.
-3*(d + 60)**3/8
Let s(v) be the second derivative of 1/14*v**5 + 1/7*v**4 + 1/105*v**6 - 8/7*v**2 + 0 - 5*v - 4/21*v**3. Factor s(f).
2*(f - 1)*(f + 2)**3/7
Suppose 25*a - t = 54, 0 = 19*a - 21*a - 4*t - 12. Suppose -2/11*g**a - 2/11*g + 0 = 0. Calculate g.
-1, 0
Let o(d) be the second derivative of d**8/60480 + d**7/11340 + d**6/6480 + 11*d**4/6 + 9*d. Let r(m) be the third derivative of o(m). Factor r(b).
b*(b + 1)**2/9
Let d be ((-30)/35 + 0)/((-1)/((-28)/(-16))). What is w in d*w**2 - 3/2*w + 3/2*w**3 - 3/2 = 0?
-1, 1
Let m be 6 + (-582)/54 + 5. Let l(i) be the second derivative of 5/27*i**3 + 0 + 1/18*i**4 - 5*i + m*i**2. Factor l(p).
2*(p + 1)*(3*p + 2)/9
Let n(u) be the first derivative of -u**4/4 + 7*u**3/3 - 3*u**2 - 217. Factor n(v).
-v*(v - 6)*(v - 1)
Let z be 3/((-1 + -2)/(-3)). Factor -46*q**2 + 22*q**2 - 66*q**2 + 64*q - 8 - 162*q**z.
-2*(q + 1)*(9*q - 2)**2
Suppose 4*a + y - 76 = -y, -a = 4*y - 5. What is d in -197*d + 15 + 1148*d**3 + a*d + 6 - 24*d**2 + 11 - 980*d**4 = 0?
-2/5, 2/7, 1
Let m = -94 + 89. Let r(s) = -2*s**2 - 9*s + 5. Let i be r(m). Solve 0 + 0*g**2 + i*g - 3/7*g**3 = 0 for g.
0
Let n(w) = 0*w + 2*w**2 + 3*w**2 + w + w**3. Let y(r) be the first derivative of -r**4/2 - 2*r**3 - r**2 - 114. Let o(v) = -2*n(v) - 3*y(v). Solve o(q) = 0.
-1, 0
Let r = -20025 - -20030. Find y such that 0*y - 2/11*y**r - 12/11*y**4 + 2/11*y**3 + 76/11*y**2 - 64/11 = 0.
-4, -1, 1, 2
Let s = -8 + 11. Let r(n) = n**3 - 1. Let d(p) = -8*p**3 + 15*p**2 - 10*p + 3. Let u = -36 - -37. Let j(l) = s*r(l) + u*d(l). Factor j(f).
-5*f*(f - 2)*(f - 1)
Let l(f) = 14*f**2 + 27*f + 3. Let k(q) = 42*q**2 + 82*q + 8. Let d = -23 + 18. Let w(s) = d*k(s) + 16*l(s). Determine r so that w(r) = 0.
-1, -4/7
Suppose 352*p = 629*p. Determine l so that 2 + p*l - 1/2*l**2 = 0.
-2, 2
Let d be 6 + ((-4)/5)/(2/5). Let i(n) be the third derivative of 0*n**3 + 1/105*n**7 + 3*n**2 + 0*n + 0 + 0*n**d - 1/30*n**5 + 0*n**6. Factor i(k).
2*k**2*(k - 1)*(k + 1)
Factor 42*q - 13*q - 34*q + 30*q**2 - 25.
5*(q - 1)*(6*q + 5)
Suppose -43*q = -56*q + 26. Solve -4/5*z**q - 8/5*z + 0 = 0.
-2, 0
Let v(f) be the third derivative of -f**8/168 + f**7/7 + 17*f**6/20 + 53*f**5/30 + 3*f**4/2 - 606*f**2. Factor v(i).
-2*i*(i - 18)*(i + 1)**3
Let g = 14 - 14. Suppose -5*v = -21 + 1. Factor g*z - 2/7*z**v + 0*z**3 + 0*z**2 - 2/7*z**5 + 0.
-2*z**4*(z + 1)/7
Factor 1 - 1 + 8*l**2 + 4*l**3 - 32 - 16*l.
4*(l - 2)*(l + 2)**2
Let d = -2/39 - -17/78. Suppose -18*k - 4*k + 44 = 0. Solve d*n**k + 0 - 1/2*n = 0 for n.
0, 3
Let w = -4686 - -4688. Solve 26/5*v + 4/5 + 15/2*v**3 + 11*v**w = 0 for v.
-2/3, -2/5
Let o be (0*(-5)/(-15))/(0 + -1). Let v(g) be the third derivative of 0 - 1/24*g**4 + 2*g**2 + o*g + 0*g**5 + 1/360*g**6 - 1/9*g**3. Let v(u) = 0. What is u?
-1, 2
Let n(b) be the first derivative of b**4/24 + 55*b**3 + 27225*b**2 + 5989500*b + 416. Determine c, given that n(c) = 0.
-330
Suppose -3*i + 21 = 5*f, -9*i + 7*i = -3*f + 5. Let r = 12 + -7. Factor -m**i + 6*m + 2 - 2*m - r*m + 0*m**2.
-(m - 1)*(m + 2)
Find q, given that -2*q - 1083 - 3*q**2 - 23*q - 89*q = 0.
-19
Let g(y) = 19*y**2 - 9*y. Let c(u) = -u**2. Let k(p) = 4*c(p) + g(p). Let v(w) = -7*w**2 + 4*w. Let m(h) = 4*k(h) + 9*v(h). Let m(i) = 0. What is i?
0
Let x be 0/((-3)/(-21) + 40/14). Suppose x = -11*h + 8*h + 9. Suppose 4/7*y**2 - 2/7*y**5 - 2/7 - 2/7*y**4 - 2/7*y + 4/7*y**h = 0. Calculate y.
-1, 1
Solve -359/4*f - 445/2*f**2 + 25/4*f**3 - 9 = 0.
-1/5, 36
Suppose 2*r - 5*v + 25 = -32, 0 = 2*r - 4*v + 52. Let j be 1/(-4) + (-52)/r. Factor 0*h - 6/5*h**j + 0 + 3/5*h**2 + 3/5*h**4.
3*h**2*(h - 1)**2/5
Suppose 2/3*m**2 + 1/3*m**3 - 20/3*m + 8 = 0. What is m?
-6, 2
Let w(y) be the first derivative of y**4/16 + y**3/3 + y**2/8 - 3*y/2 - 45. Solve w(a) = 0 for a.
-3, -2, 1
Let r(w) be the second derivative of w**4/12 + w**3/3 - 28*w + 1. Factor r(f).
f*(f + 2)
Let p = -24 + 36. Let v be 1/(((-20)/(-5))/p). Solve 2*n**v - 3*n**3 - 3*n**3 = 0.
0
Suppose 0 = 55*b - 698 + 698. Factor 0*l**3 - 3/2*l**2 + 3/2*l**4 + b*l + 0.
3*l**2*(l - 1)*(l + 1)/2
Let k = 13 - 11. Suppose y = 2*y - k. Factor -2 + y - h**4 + h**3.
-h**3*(h - 1)
Let k = 63 - 60. Suppose -6*v**2 - 5*v - 10*v**2 + 3*v + 22*v**2 - 2*v**4 - 4 + 2*v**k = 0. Calculate v.
-1, 1, 2
Let v(k) be the third derivative of k**8/2240 + k**7/210 - k**6/240 - k**5/10 + 3*k**4/8 - 13*k**2. Let x(y) be the second derivative of v(y). Factor x(j).
3*(j - 1)*(j + 1)*(j + 4)
Let u be (-1 + 3)/2 - 1. Suppose u = b + 2*b - 12. Let 3*y**b + y**4 - 6*y**3 - 5*y**4 - 2*y**4 = 0. Calcul