such that m(r) = 0.
-68, -1, 1/2, 3
Let g(z) = -16*z + 948. Let o be g(58). Let s(r) be the first derivative of -3*r**4 - 4/5*r**5 - 4*r**3 + 0*r - o - 2*r**2. Factor s(u).
-4*u*(u + 1)**3
Let n(j) be the second derivative of j**7/560 + 3*j**6/320 - j**5/10 + 3*j**4/16 + 125*j**2/2 - 253*j. Let z(w) be the first derivative of n(w). Factor z(l).
3*l*(l - 2)*(l - 1)*(l + 6)/8
Let t(z) = 3*z**5 - 62*z**4 - 242*z**3 - 238*z**2 - 2*z - 2. Let p(j) = 2*j**5 + j**4 + j**3 + j**2 - j - 1. Let o(u) = -2*p(u) + t(u). Factor o(v).
-v**2*(v + 2)**2*(v + 60)
Let j(i) = 39*i**3 - 774*i**2 + 17415*i - 127785. Let t(n) = -9*n**3 + 194*n**2 - 4354*n + 31946. Let h(o) = 2*j(o) + 9*t(o). Factor h(r).
-3*(r - 22)**3
Suppose -6 = -94*r + 95*r + 2*y, 2*y = r - 10. Suppose 4*b - 17 = 5*i, -i = r*b - 2*i - 7. Factor 0*x**2 + 0*x + 0 - 1/2*x**b - 1/2*x**4.
-x**3*(x + 1)/2
Let l = 2706 + -2703. Let k(x) be the third derivative of -1/6*x**7 + 0 - 5/12*x**4 + 2*x**2 - 1/4*x**5 + 0*x**l + 0*x + 1/2*x**6. Find i such that k(i) = 0.
-2/7, 0, 1
Let n = 97 + -95. Let r(b) = -2 + n*b**2 + 10*b - 2 + 4. Let v(a) = a**2. Let j(p) = -r(p) + 4*v(p). Factor j(x).
2*x*(x - 5)
Let v(p) be the second derivative of 0*p**3 + 1/60*p**6 + 0*p**4 - 56*p + 0*p**2 - 1/84*p**7 + 2 + 0*p**5. Factor v(n).
-n**4*(n - 1)/2
Let b(i) = -5*i + 51. Let f(o) = 2*o - 17. Let v(a) = 3*b(a) + 8*f(a). Let z be v(7). Factor 59*x - 12 - 23*x - 3*x**2 + z*x**2.
3*(x + 2)*(7*x - 2)
Let d be (-43 + -2)*473/(-1892). Factor -d*y**2 - 3375/4 - 1/4*y**3 - 675/4*y.
-(y + 15)**3/4
Suppose -4*r - 6*g - 4 = -2*g, 2*r - 3*g = 23. Factor -5 + 3*u**3 - r - 7*u**2 - 259*u - 4*u**3 + 244*u.
-(u + 1)*(u + 3)**2
Let s(q) be the third derivative of -q**6/40 - 107*q**5/20 - 13*q**4 + 106*q**3 + 4340*q**2. Factor s(v).
-3*(v - 1)*(v + 2)*(v + 106)
Let i(v) = 5*v**2 + 16*v - 15. Let q(o) = -6 + 11*o**2 - 3 + 32*o - 22 + 2*o. Let g(j) = -14*i(j) + 6*q(j). Find l such that g(l) = 0.
-6, 1
Let -74*p**3 - 53*p**2 + 7 - 34*p**4 - 7/2*p**5 - 5/2*p = 0. What is p?
-7, -1, 2/7
Let g(m) = -15*m**2 - 235*m - 2885. Let f(l) be the second derivative of -l**4/6 + l**3/6 - l**2/2 - 70*l. Let x(n) = 5*f(n) - g(n). Factor x(k).
5*(k + 24)**2
Let a(n) be the first derivative of -2*n**6/585 + n**5/780 - 185*n**3/3 - 215. Let f(i) be the third derivative of a(i). Factor f(x).
-2*x*(8*x - 1)/13
Let k be ((-812)/232)/(1222/(-780) + 2/5). Find n, given that -18/7 - 2/7*n**k - 30/7*n - 2*n**2 = 0.
-3, -1
Let p(i) = 15*i**5 - 12*i**4 - 12*i**3 + 24*i**2 + 68*i - 12. Let a(w) = 4*w**5 - w**4 - 2*w**2 + w - 3. Let d(h) = 4*a(h) - p(h). Factor d(m).
m*(m - 2)*(m + 2)*(m + 4)**2
Let h(t) be the third derivative of t**8/5040 + t**7/280 + t**6/45 + t**5/18 - 91*t**3/6 + 51*t**2. Let v(z) be the first derivative of h(z). Factor v(d).
d*(d + 2)**2*(d + 5)/3
Let j(u) be the first derivative of -2*u**3/33 - 1030*u**2/11 - 530450*u/11 - 501. Let j(h) = 0. Calculate h.
-515
Let m(h) = 6*h**2 - 132*h - 262. Let a be m(-2). Suppose -29*q = -a*q - 15. Find r, given that 0*r - 16/5*r**4 + 0 + 4/5*r**2 - 2*r**q - 2/5*r**3 = 0.
-1, 0, 2/5
Let m(h) be the first derivative of 1/12*h**4 - 40 + 0*h - 1/15*h**5 + 0*h**2 + 0*h**3. Solve m(x) = 0 for x.
0, 1
Suppose -1580*k = 917*k + 44*k. Suppose 3*o + 2 - 8 = 0. Factor k + 3/5*s**o - 21/5*s.
3*s*(s - 7)/5
Suppose h - 12 = 3*f, -h - 25*f + 4 = -26*f. Let n(i) be the third derivative of -1/120*i**6 - 5/24*i**4 + 1/10*i**5 + h*i + 0*i**3 + 0 - 32*i**2. Factor n(z).
-z*(z - 5)*(z - 1)
Suppose 4*t - 8 = 12. Suppose 2*n - 68*n = -330. Solve -6*l**4 + 2*l**2 - 2 - l**t - n*l + 3*l**4 + 4*l**4 + 6*l**3 - 1 = 0.
-1, 1, 3
Let o be (-67 - -69)/((-8)/(-17)) - 2. Find c such that 0 + 27/4*c + 1/4*c**4 + o*c**3 + 27/4*c**2 = 0.
-3, 0
Let u(n) be the first derivative of 3*n**5/20 - 3*n**4/16 - 3*n**3 + 1220. Factor u(y).
3*y**2*(y - 4)*(y + 3)/4
Let p(u) = 5*u - 165. Let m be p(34). Factor 2*t**2 + t + 29*t - 27*t**2 + m*t**3.
5*t*(t - 3)*(t - 2)
Let r(v) = -2*v**2 - 23*v + 14. Let k be r(-12). Factor -2*t**3 + 58 + 58 - 116 - 24*t**k.
-2*t**2*(t + 12)
Let d = -91987 - -91987. Let 1/3*l**3 + 2/3*l**4 + d - 1/3*l**5 + 0*l - 2/3*l**2 = 0. Calculate l.
-1, 0, 1, 2
Let r(g) be the first derivative of 0*g + 3/32*g**4 - 7/4*g**3 + 0*g**2 + 22. Let r(i) = 0. What is i?
0, 14
Let h(g) be the second derivative of g**5/5 - 14*g**4/3 + 26*g**3/3 - 1079*g. Solve h(y) = 0.
0, 1, 13
Suppose 31 = 4*z + s, 3*z - 19 - 2 = -3*s. Let y be (-3*2)/(z/(-4)). Suppose 16*a**2 - 3*a**3 - 4*a**5 - 17*a**2 + 10*a**4 + a**3 - y*a**4 = 0. What is a?
-1/4, 0, 1
Let c(l) = l**2 - 6*l + 258. Let h be c(0). Let k = h + -1284/5. Factor 0*f**2 + 0*f**3 + 0 + 0*f - k*f**4.
-6*f**4/5
Let f(r) = 4*r - 12*r**2 - 50*r**3 - 30 + 62*r**3 + 26. Let q(l) = -l**4 + 23*l**3 - 22*l**2 + 7*l - 7. Let k(a) = -7*f(a) + 4*q(a). Let k(h) = 0. What is h?
0, 1
Let s(f) = -3*f**2 - 30*f + 24. Let o(q) = 3*q + 1. Let w(z) = -8*z - 1. Let c(y) = -2*o(y) - w(y). Let i(r) = -9*c(r) - s(r). Let i(j) = 0. Calculate j.
-5, 1
Let g(p) = -p**2 - 526*p - 39585. Let d be g(-91). What is u in 1/10*u**4 - 1/5*u**2 - 1/10*u**3 + d + 0*u = 0?
-1, 0, 2
Let j(g) = 184*g**3 + g**2 - 12*g + 11. Let b be j(1). Let o be ((-9)/1)/((-1380)/b). Factor -1/5*y + 1/5*y**2 - o.
(y - 3)*(y + 2)/5
Let -3/7*j**2 - 345/7 - 12*j = 0. Calculate j.
-23, -5
Solve 38*u**2 - 225 - 5*u**5 + 479*u + 1105*u**3 + 216*u - 5*u**4 - 835*u**3 - 768*u**2 = 0 for u.
-9, 1, 5
Let q = 1051 - 1048. Let v(z) be the first derivative of 3 - 3*z**4 + 0*z**q + 8*z**2 + 4/5*z**5 + 0*z. Suppose v(y) = 0. Calculate y.
-1, 0, 2
Suppose v = 13*t - 12*t + 99, 4*t = 2*v - 204. Suppose -v - 10*l - 55*l**4 - 232*l - 300*l**2 - 108*l**3 - 50*l + 51*l**4 = 0. What is l?
-24, -1
Let k = -143 - -152. Factor -x + 3*x + 2*x**2 - 3*x - 48 - k*x.
2*(x - 8)*(x + 3)
Suppose 2766760 + 5/2*w**2 - 5260*w = 0. What is w?
1052
Let p(m) be the first derivative of m**4/28 + 74*m**3/21 + 204*m**2/7 - 6668. Find z, given that p(z) = 0.
-68, -6, 0
Let y(z) = 8*z**4 + 12*z**3 - 52*z**2 - 52*z - 4. Let h(c) = -17*c**4 - 24*c**3 + 104*c**2 + 102*c + 9. Let m(u) = 4*h(u) + 9*y(u). Factor m(b).
4*b*(b - 3)*(b + 1)*(b + 5)
Solve 8/3*y - 2/3*y**3 + 12*y**2 - 48 = 0.
-2, 2, 18
Let l(x) = -183*x - 14638. Let k be l(-80). What is a in -3*a + 6 + 3/8*a**k = 0?
4
Suppose -2*p + 6 = 2*n, 6*n = 8*n - 3*p - 11. Factor 0*i**3 + 5 - 11 + 12*i - n*i**3 - 2.
-4*(i - 1)**2*(i + 2)
Let v(w) = -w**4 + w**3 - w**2 - w + 1. Let l(k) = k**5 + 6*k**4 - 34*k**3 + 32*k**2 + 113*k - 113. Let h(r) = 4*l(r) + 20*v(r). Find u, given that h(u) = 0.
-6, -2, 1, 3
Let a = -7541/6 - -10771/6. Let u = 539 - a. Determine h, given that -2/3*h + u + 1/6*h**2 = 0.
2
Let u = -57 + 73. Let d be 0/((-2)/(-16) - (-30)/u). Factor -39*t + 56 + 16 + d*t**3 - 81*t - 4*t**3 - 46*t**2.
-2*(t + 6)**2*(2*t - 1)
Let m = 4669 - 140069/30. Let q(k) be the third derivative of m*k**6 + 0*k**3 + 1/84*k**8 + 0*k + 4/105*k**7 + 0*k**5 + 0*k**4 + 15*k**2 + 0. Factor q(z).
4*z**3*(z + 1)**2
Suppose -16 + 1 = -3*g + r, -3*r + 10 = 2*g. Determine m so that 44*m + 148*m**2 - 52*m**5 - 23*m**4 + 100*m**3 - 2 + 20*m**g - 6 - 5*m**4 = 0.
-1, 1/8, 2
Let h(l) be the third derivative of -l**6/540 - 2*l**5/27 - 23*l**4/36 + 10*l**3/3 + 945*l**2. Factor h(n).
-2*(n - 1)*(n + 6)*(n + 15)/9
Let a(y) be the third derivative of 65*y**2 + 7/100*y**5 + 1/8*y**4 + 0*y - 1/100*y**6 + 0 - 2/5*y**3. Find v, given that a(v) = 0.
-1, 1/2, 4
Let v be (-11)/8855*-437 - (-1)/(-7). Factor 8/5*x**2 - 2*x**3 + 0 + v*x**4 + 0*x.
2*x**2*(x - 4)*(x - 1)/5
Let l = -285 - -315. Find a such that 79*a**2 - 52*a**2 + 9*a - l*a**2 = 0.
0, 3
Suppose -4*h = 2*w + 6, -16*w + 12*w = -4*h - 24. Find y, given that -3 + 9*y + 3*y**2 + 90*y**3 - 96*y - w*y = 0.
-1, -1/30, 1
Let i be (1/(4/(-9)))/(7/28). Let x be i/(135/6)*(-4 + -1). Let 0*w**2 + 2*w**x + 4 - 15*w + 9*w = 0. Calculate w.
1, 2
Let q(t) be the first derivative of -t**4/8 + t**3 - 3*t**2 + 38*t - 78. Let p(v) be the first derivative of q(v). Let p(w) = 0. What is w?
2
What is z in 6*z**3 - 8/5*z**4 + 28*z**2 + 32/5*z - 192/5 - 2/5*z**5 = 0?
-4, -3, -2, 1, 4
Suppose 49*u**2 + 55/8*u**4 + 69/4*u + 1/2*u**5 - 63/8 + 121/4*u**3 = 0. What is u?
-7, -3, -1, 1/4
Suppose 3*j = -5 - 7, -j - 7 = -c. Let i be c/(-9)*(0 + -9). F