be 6 + (9/(-3) + 1 - 1). Factor -z + 4*z**4 + 14*z**3 - 26*z**k - 3*z + 12*z**2.
4*z*(z - 1)**3
Let o be 17/((-238)/4)*3353. Let k = -955 - o. Factor -4/3*q**2 + 4/3*q + 1/3*q**k + 0.
q*(q - 2)**2/3
Let m(l) be the first derivative of -16 + 14/9*l**3 - 22/9*l**2 + 0*l + 1/18*l**4. Factor m(d).
2*d*(d - 1)*(d + 22)/9
Suppose -4*k - 21*w - 7 = -24*w, -14 = 3*k - 4*w. Let p(j) be the first derivative of -10 - 162/5*j**3 - 108/5*j**k - 24/5*j. Solve p(l) = 0.
-2/9
Let j(f) = -f**3 - f**2 + f - 1. Let m be j(-2). Let x = m - -2. Suppose -29*l**4 + 60*l**2 + 39*l**4 - 14*l**x + 30*l**3 + 20*l + 29*l**3 = 0. Calculate l.
-2, -1/2, 0
Solve 1536/5 - 256/5*i**2 + 204/5*i**3 - 32/5*i**4 - 832/5*i + 1/5*i**5 = 0.
-2, 2, 4, 24
Solve -50/17 + 6*b - 4/17*b**2 = 0 for b.
1/2, 25
Let k(g) = -13*g**3 + 233*g**2 + 295*g. Let v(t) = -11*t**3 + 116*t**2 + 148*t. Let i(j) = -4*k(j) + 7*v(j). Find l such that i(l) = 0.
-12/5, 0
Let p = -5 + 8. Let f be (-46)/69 - (-3)/(-9)*-8. Factor 2*w**2 - 3*w - 2*w + 0*w + w**3 + 3*w**p - 4*w**4 + w**5 + f.
(w - 2)*(w - 1)**3*(w + 1)
Let c(p) = 5*p**2 - 24*p + 3. Let q be c(7). Let f be (-6)/(-33) - q/(-44). Let -b**f + 6*b - 3*b - 4 + 0 + 2 = 0. Calculate b.
1, 2
Let y(k) be the first derivative of k**4/24 + 127*k**3/3 + 16129*k**2 + 8193532*k/3 + 1002. Factor y(s).
(s + 254)**3/6
Suppose -3 = -16*h + 17*h + 5*m, -2*h + 4*m + 8 = 0. Determine a, given that -20 + 180*a**h + 187*a**2 + 15*a - 15*a**3 - 347*a**2 = 0.
-1, 1, 4/3
Let q be 19 + 26570/(-1640) - (-60)/(-1230). What is a in -1/4*a**5 - q*a**3 + 0 + 0*a + 3/2*a**4 + 3/2*a**2 = 0?
0, 1, 2, 3
Let z = -7/159 + 1943/795. Factor -18/5*j**3 - 3/5*j - 3/5*j**5 - 12/5*j**4 - z*j**2 + 0.
-3*j*(j + 1)**4/5
Let j be ((-3)/(-4))/((-2)/(-8)). Let t be -4 - 806/(-195) - 1066/(-780). Solve -3/8*a**4 - j*a + 9/8*a**2 + t + 3/4*a**3 = 0.
-2, 1, 2
Let m(k) = 3*k - 2. Let b be m(4). Let f be (1/2)/(2/20). Let -f*w**2 - b*w**3 + 34*w**4 - 75*w**4 + 36*w**4 = 0. Calculate w.
-1, 0
Let o(c) be the third derivative of -c**6/200 - 3*c**5/25 + 128*c**3/5 + 324*c**2. Factor o(m).
-3*(m - 4)*(m + 8)**2/5
Suppose -2*j + 5*w - 104 = -16, -2*w + 82 = -2*j. Let u be j/(-27)*(-3)/(-3). Factor 4/3*x**2 + 1/3 + u*x.
(3*x + 1)*(4*x + 3)/9
Find d, given that -76/5*d**4 - 2/5*d**5 + 0 + 232/5*d**2 + 6/5*d**3 + 152/5*d = 0.
-38, -1, 0, 2
Let h(o) be the first derivative of -4*o**6/27 + 182*o**5/15 - 634*o**4/3 - 58516*o**3/27 - 13912*o**2/3 + 2738*o + 1590. Solve h(y) = 0.
-3, 1/4, 37
Let j be ((0 - 5)/15)/(2/(-12)). Determine q, given that 429 - 421 + q - q - 2*q**j = 0.
-2, 2
Find w, given that 87*w + 479 + 33 - 2*w**3 + 105*w - 2*w**3 = 0.
-4, 8
Let h = 15595 - 935699/60. Let u(q) be the second derivative of -1/18*q**4 + 37*q + h*q**5 + 1/90*q**6 + 0*q**3 + 0 + 0*q**2. Let u(b) = 0. What is b?
-2, 0, 1
Let o(w) = -w**3 + 14*w**2 + 2. Let p(z) = 21*z**3 - 177*z**2 - 3471*z + 25821. Let l(u) = -18*o(u) - p(u). Factor l(b).
-3*(b - 13)**2*(b + 51)
Let q(x) be the first derivative of -x**5/10 - 7*x**4/12 + 2*x**3/3 - 5*x + 14. Let o(f) be the first derivative of q(f). Factor o(t).
-t*(t + 4)*(2*t - 1)
Let v(b) be the third derivative of -b**5/210 + 13*b**4/42 + 8*b**3/3 - 74*b**2 + 4*b. Find g, given that v(g) = 0.
-2, 28
Let p(r) be the second derivative of r**5/70 + 163*r**4/42 + 54*r**3/7 - 81*r - 15. Factor p(n).
2*n*(n + 1)*(n + 162)/7
Let x(b) = -39*b - 309. Let f be x(-8). Let y be 102/306 + (f - (-1 + 3)). Factor y*c + 1/3*c**2 + 1.
(c + 1)*(c + 3)/3
Let i(j) = 2*j**2 + 3. Let s(o) = -2*o**3 + 24*o**2 + 27*o - 18. Let y be s(13). Let m(d) = -3*d**2 - 4. Let l(t) = y*m(t) - 7*i(t). Let l(p) = 0. What is p?
-1, 1
Let s(w) be the second derivative of 7*w**3/6 - 13*w**2 - 26*w. Let q be s(4). Factor 5*a - q*a + 8*a**3 - 5*a - 2*a - 4*a**5.
-4*a*(a - 1)**2*(a + 1)**2
Let g(c) be the second derivative of c**6/660 - c**5/330 - 2*c**4/33 + 4*c**3/11 + 17*c**2 - 29*c. Let x(j) be the first derivative of g(j). Factor x(q).
2*(q - 2)**2*(q + 3)/11
Let j(w) be the first derivative of w**6/1980 - w**5/132 + w**4/22 - 53*w**3/3 - 18. Let c(s) be the third derivative of j(s). Factor c(q).
2*(q - 3)*(q - 2)/11
Suppose 0 = -4*y + 10*y - 12. Let f(q) = 10*q + 102. Let r be f(-10). Determine x, given that -2/3*x**3 + r*x + 0*x**y + 4/3 = 0.
-1, 2
Suppose -255*n + 2038*n - 1889 = 1677. Suppose -48/23*h - n - 2/23*h**2 = 0. What is h?
-23, -1
Suppose -24*l + 7 = -4*h - 23*l, 0 = -4*l + 28. Let g(k) be the third derivative of h*k + 0 + 19*k**2 + 1/4*k**4 + 0*k**3 + 1/40*k**5. Factor g(w).
3*w*(w + 4)/2
Let g = 41 + -29. What is a in -4*a**5 - 1255*a - g*a**4 + 16*a**2 + 1255*a = 0?
-2, 0, 1
Let m(z) be the first derivative of -5*z**3/8 - 672*z**2 + 2151*z/8 + 5467. Factor m(r).
-3*(r + 717)*(5*r - 1)/8
Let z(b) be the second derivative of -b**6/60 + b**5/10 - b**4/4 + b**3/3 + 2*b**2 - 103*b. Let q(u) be the first derivative of z(u). Find x such that q(x) = 0.
1
Let o(q) be the second derivative of -1/7*q**2 + q - 1/42*q**3 + 1/140*q**5 + 1/42*q**4 - 30. Determine f, given that o(f) = 0.
-2, -1, 1
Let b be -3 - (-1 - -1 - 0). Let g be (-28)/(-21) - (0 + (-4)/b). Suppose 0*x + 4/7*x**5 + g + 2/7*x**4 - 2/7*x**2 - 4/7*x**3 = 0. What is x?
-1, -1/2, 0, 1
Let u be (-70)/14*(-380)/25. Factor 112 + u + 192*h + h**2 + 3*h**2 + 0*h**2.
4*(h + 1)*(h + 47)
Suppose -119 - 639 - 58 = -136*x. Let a(i) be the second derivative of 5/2*i**4 + i**5 + 13*i - 25/2*i**2 + 0 - 10/3*i**3 - 1/6*i**x. Find s such that a(s) = 0.
-1, 1, 5
Let z(n) be the third derivative of -1/40*n**6 - 1/30*n**5 - 40*n**2 + 0 + 0*n**4 - 1/210*n**7 + 2*n + 0*n**3. Factor z(u).
-u**2*(u + 1)*(u + 2)
Let f(s) be the third derivative of -s**7/140 + 59*s**5/40 + 45*s**4/8 - 100*s**3 + 9*s**2 - 22. Find m such that f(m) = 0.
-5, 2, 8
Let m be (-4446)/(-95)*39/117. Suppose 648/5 + m*f**4 + 2016/5*f + 2/5*f**5 + 2162/5*f**2 + 174*f**3 = 0. Calculate f.
-18, -1
Let m(r) be the third derivative of -r**6/540 + 157*r**5/270 - 2051*r**4/108 + 7007*r**3/27 - 8314*r**2. Suppose m(f) = 0. Calculate f.
7, 143
Let k(g) = -11*g - 58. Let b be k(-6). Find h such that -b*h**3 + 148*h**4 - 72*h**4 - 70*h**4 - h - 2*h**2 + 5*h = 0.
-2/3, 0, 1
Let y = 36 + -36. Suppose -k - 9 = -4*k - 3*o, -4*o = y. Factor -5*v**3 - 7*v - 4 + 29*v**k - 7*v + 20*v**2 + 6*v.
4*(v + 1)*(2*v - 1)*(3*v + 1)
Let t(z) be the third derivative of 2*z**7/945 + z**6/270 - z**5/27 + z**4/18 + 996*z**2. Solve t(v) = 0.
-3, 0, 1
Let h(x) be the first derivative of -x**4/12 - 14*x**3 - 682*x**2 - 7688*x/3 + 1232. Determine v so that h(v) = 0.
-62, -2
Let v(s) = s**2. Let h(u) = 3 + 2*u - 13 + 42 - 10. Let o be h(-9). Let c(z) = -z**2 - 42*z + 147. Let k(p) = o*v(p) + c(p). Factor k(d).
3*(d - 7)**2
Suppose -18*z - 16 = -19*z. Suppose -j = -5 + 3. Find v such that 36 + 2*v**3 - 27*v - 2*v**3 + z*v**2 - 15*v - j*v**3 = 0.
2, 3
Let a(r) = r**2 + 24*r - 19733. Let n be a(129). Let f be -1 - (16/(-6) - -1). Factor 0*m**3 + f*m**5 + 2/3*m**n + 0*m**2 + 0*m + 0.
2*m**4*(m + 1)/3
Factor -1/3*z**4 - 30080231/3*z - 96721*z**2 + 0 - 311*z**3.
-z*(z + 311)**3/3
Let j(i) = -i**4 - 5*i**3 - 55*i**2 + 201*i - 56. Let w(k) = -3*k**4 - 9*k**3 - 111*k**2 + 423*k - 111. Let l(o) = -9*j(o) + 4*w(o). Factor l(u).
-3*(u - 5)*(u - 1)**2*(u + 4)
Let 156/5*g - 24/5 - 891/5*g**3 + 162*g**4 + 54/5*g**2 = 0. Calculate g.
-2/5, 1/6, 2/3
Let k be 0*(-67)/(2398 + -53). Suppose u**2 + k*u**3 + 0*u - 1/2*u**4 - 1/2 = 0. Calculate u.
-1, 1
Let u be -2 - (-5 - (1 + -1)). Factor 3*p**5 - 9*p**3 - 8*p**3 + 34*p**3 - 6*p**4 - 14*p**u.
3*p**3*(p - 1)**2
Let t(p) be the first derivative of -23/20*p**2 + 7/30*p**3 - 50 + 9/5*p. Factor t(u).
(u - 2)*(7*u - 9)/10
Solve -137/4 - 1/4*y**2 + 69/2*y = 0 for y.
1, 137
Let x(q) be the second derivative of q**5/4 - 5*q**4/2 + 20*q**3/3 + 2247*q. Find z such that x(z) = 0.
0, 2, 4
Let h(f) = 2*f**2 - f - 9. Let o(q) = 14*q**2 + 7*q - 85. Let u(m) = -5*h(m) + o(m). Factor u(y).
4*(y - 2)*(y + 5)
Factor -6/5*i + 28 - 2/5*i**2.
-2*(i - 7)*(i + 10)/5
Suppose 4*u = 19 + 13. Suppose u = -3*l + 7*l. Factor -1/4 - 1/4*f**l - 1/2*f.
-(f + 1)**2/4
Let o(q) be the first derivative of q**6/60 - q**5/2 - 29*q**2/2 - 83. Let c(y) be the second derivative of o(y). What is m in c(m) = 0?
0, 15
Let w(n) = -31*n**2 - 94*n + 456. Le