*c + 2600. Let r be x(-6). Suppose 0 = -j - 3*j + 5*d + 17, -3*j - 2*d + 7 = 0. Factor 9*k**3 - 13*k - 13*k**j + 8*k**2 + 17*k - r.
-4*(k - 2)*(k - 1)*(k + 1)
Let v(c) be the first derivative of 0*c + 147/2*c**2 - 1/18*c**6 + 14/3*c**3 - 14/5*c**5 - 110/3*c**4 - 82. Solve v(r) = 0.
-21, -1, 0, 1
Solve 9*p - 3/2*p**5 - 33/2*p**4 - 15/2*p**3 - 216 + 465/2*p**2 = 0 for p.
-8, -6, -1, 1, 3
Let q(g) be the second derivative of 1/4*g**5 + 125/12*g**4 - 1 + 715/6*g**3 - 845/2*g**2 + 2*g. Determine p so that q(p) = 0.
-13, 1
Let h = 3764/1653 - 64/29. Let u(k) be the second derivative of -h*k**3 + 0 + 0*k**2 - 1/114*k**4 + 20*k. What is x in u(x) = 0?
-4, 0
Let j be (4 - (1 + 7))/(2/(-8)). Factor j*i + 17*i - 744 + 714 - 3*i**2.
-3*(i - 10)*(i - 1)
Let z(f) be the first derivative of 1/18*f**4 - 16*f + 0*f**2 - 2/27*f**3 + 14 - 1/90*f**5. Let n(p) be the first derivative of z(p). Factor n(q).
-2*q*(q - 2)*(q - 1)/9
Let p be (18/8)/((-17)/(-68)). What is s in 1 + s**2 + 3*s**2 - p + 4 = 0?
-1, 1
Let d(z) = z**2 - z - 29. Let h(w) = 2*w**2 - 50*w - 70. Let m(a) = 6*d(a) - h(a). Let m(s) = 0. Calculate s.
-13, 2
Let i(l) be the first derivative of -8*l**5/5 - 119*l**4/2 + 20*l**3 - 1643. Factor i(r).
-2*r**2*(r + 30)*(4*r - 1)
Let y(u) be the third derivative of -u**6/480 - 41*u**5/60 - 6557*u**4/96 + 6889*u**3/12 + 556*u**2. Factor y(b).
-(b - 2)*(b + 83)**2/4
Let s = 6494 - 6492. Let l(n) be the first derivative of -3*n**4 - 28 + 12/5*n**5 + 6*n**s - 3*n - 3*n**3. Solve l(p) = 0.
-1, 1/2, 1
Let j(r) = -66*r**2 - 632*r - 1252. Let v(i) = 19*i**2 + 211*i + 418. Let s(h) = 10*j(h) + 35*v(h). Factor s(x).
5*(x + 2)*(x + 211)
Let v = -293405/4 - -73355. Let 15/4*n**2 - 5/4*n + 5/4*n**3 - v = 0. What is n?
-3, -1, 1
Solve -26/3 - 9/2*k**4 + 79/6*k**2 + 1/6*k**5 - 4*k + 23/6*k**3 = 0 for k.
-1, 1, 2, 26
Let c be 2 - 7 - (-169)/(-13)*-2. Let g(w) be the first derivative of c - 100*w - 20*w**2 - 4/3*w**3. Let g(o) = 0. Calculate o.
-5
Let b(f) be the third derivative of -f**6/180 - 23*f**5/18 - 37*f**4/3 - 5618*f**2 + 2*f. Solve b(v) = 0 for v.
-111, -4, 0
Let q(i) be the second derivative of i**7/28 - 5*i**6/12 + 57*i**5/40 - 17*i**4/8 + 4*i**3/3 + 6296*i. Factor q(h).
h*(h - 1)**3*(3*h - 16)/2
Suppose 11103*t = 10302*t. Factor -6/5*d**5 - 2/5*d**2 + 0 - 2*d**3 - 14/5*d**4 + t*d.
-2*d**2*(d + 1)**2*(3*d + 1)/5
Let y = 235017/2 + -117507. Factor 0 - y*h - 15/2*h**2 - 6*h**3.
-3*h*(h + 1)*(4*h + 1)/2
Let d(n) be the second derivative of -16*n - 1100/3*n**3 + 1210*n**2 - 1/4*n**5 - 215/12*n**4 - 2. Determine t, given that d(t) = 0.
-22, 1
Factor 70172*g**2 + 33*g - 70175*g**2 - 8 - 82.
-3*(g - 6)*(g - 5)
Suppose -2*c - 3*x = -199, c - 122 = -2*x + 5*x. Suppose -5*v + 53 + c = 0. Factor -3*a**2 + 32 - 2*a - a**3 - v.
-a*(a + 1)*(a + 2)
Factor -176*w**3 + 2250*w**2 + 5*w**5 + 1269*w**3 + 28*w**4 + 332*w**3 + 132*w**4.
5*w**2*(w + 2)*(w + 15)**2
Let p(x) be the first derivative of -x**4/2 + 248*x**3/3 + 125*x**2 - 730. Factor p(r).
-2*r*(r - 125)*(r + 1)
Let k(n) be the second derivative of -n**7/105 - 14*n**6/75 - 73*n**5/50 - 28*n**4/5 - 48*n**3/5 - 4*n + 527. Factor k(c).
-2*c*(c + 3)**2*(c + 4)**2/5
Factor -3/5*q**2 + 246/5*q + 0.
-3*q*(q - 82)/5
Suppose -103 + 70 = 3*g + 3*r, 12 = -3*r. Let q be g*270/(-35)*2/66. Factor -2/11*k**2 - q*k + 20/11.
-2*(k - 1)*(k + 10)/11
Factor -1515*m + 113*m**2 - 273*m**2 + 533*m**3 - 1059*m**3 - 1143 - 209*m**2 + 529*m**3.
3*(m - 127)*(m + 1)*(m + 3)
Let w be -11 - (474/(-40) + 12)*(-568)/6. Let 4/5*q**2 - w*q + 12/5 = 0. Calculate q.
1, 3
Let o(w) be the second derivative of w**6/105 + w**5/7 + 13*w**4/42 - 8*w**3/7 + 9471*w. Determine l, given that o(l) = 0.
-8, -3, 0, 1
Suppose 21*w**2 + 20*w**2 - 20*w + 18*w**2 - 79*w**2 + 22*w**2 = 0. Calculate w.
0, 10
Let l(g) be the third derivative of -1/8*g**6 + 0*g - 3*g**3 - 1/70*g**7 + 5/8*g**4 + 7/20*g**5 + 106*g**2 + 0. Solve l(x) = 0.
-6, -1, 1
Suppose -33*b = 50 - 50. Let i(p) be the third derivative of 16*p**2 + b*p**3 - 1/480*p**6 - 1/120*p**5 + 0 - 1/96*p**4 + 0*p. Factor i(d).
-d*(d + 1)**2/4
Let b be -128*80/(-2944)*23. Factor -6/5*l**3 + 4356/5 - 6798/5*l + b*l**2.
-2*(l - 33)**2*(3*l - 2)/5
Let a = 204 - 201. Let k be (-4)/((-8)/3)*2. Factor -5*t**a - 4*t**5 + 4*t**4 + 7*t**5 - t**k - t**5.
2*t**3*(t - 1)*(t + 3)
Let z(p) be the second derivative of p**4/6 + 127*p**3/3 - 2*p + 431. Factor z(x).
2*x*(x + 127)
Let h(n) = -4*n**3 + 22*n**2 + 38*n + 18. Let j(z) = -7*z**3 + 43*z**2 + 77*z + 37. Let r(i) = -5*h(i) + 3*j(i). Factor r(p).
-(p - 21)*(p + 1)**2
Let c be (-24)/4 + 5 - -106 - -5. Suppose -c*m + 107*m = -15. Factor -2/3*a**4 + 4/9*a**3 + 2/9*a**m + 2/9 - 2/3*a + 4/9*a**2.
2*(a - 1)**4*(a + 1)/9
Let c(m) be the third derivative of m**6/180 - 11*m**5/15 - 65*m**3/2 + 8*m**2. Let y(f) be the first derivative of c(f). Determine g, given that y(g) = 0.
0, 44
Let x = 340 - -866. Suppose x = -6*b + 1224. Let -2/9*m + 4/9*m**2 - 2/9*m**b + 0 = 0. What is m?
0, 1
Let p(v) be the third derivative of v**8/47040 - v**7/17640 + 3*v**4/8 - 3*v**2. Let a(u) be the second derivative of p(u). Factor a(d).
d**2*(d - 1)/7
Let f(z) be the first derivative of -z**4/16 + 23*z**3/12 + 39*z**2/4 - 1633. Determine c, given that f(c) = 0.
-3, 0, 26
Let q(b) be the first derivative of -b**3/12 - 3*b**2/2 - 9*b + 192. Factor q(y).
-(y + 6)**2/4
Let o(l) be the second derivative of -5/6*l**4 + l**3 - 1/84*l**7 - 1 - 80*l + 0*l**2 + 1/30*l**6 + 7/40*l**5. Solve o(x) = 0 for x.
-3, 0, 1, 2
Let h(d) = -2356*d**2 - 4444*d + 632. Let b(r) = 214*r**2 + 404*r - 57. Let m(f) = 32*b(f) + 3*h(f). Let m(c) = 0. Calculate c.
-2, 9/55
Let g(y) be the second derivative of 43*y**4/4 + 4*y**3 + 986*y - 3. Factor g(l).
3*l*(43*l + 8)
Let u = -1320058/7 + 188582. Factor 12/7*n + 0 - u*n**2.
-4*n*(4*n - 3)/7
Let p = -93282 - -93284. Determine b, given that 2/7*b**5 + 334/7*b**3 + 50/7*b**4 - 48*b + 34*b**p - 288/7 = 0.
-12, -1, 1
Let v(h) be the first derivative of -h**6/80 - h**5/5 - 5*h**4/4 - 4*h**3 + 59*h**2/2 - 65. Let a(n) be the second derivative of v(n). Factor a(p).
-3*(p + 2)**2*(p + 4)/2
Let s(t) be the second derivative of -3*t**5/20 + 21*t**4/2 - 513*t**3/2 + 2916*t**2 - 243*t + 1. Determine m, given that s(m) = 0.
9, 24
Let p(d) be the third derivative of -4*d**2 + 0*d - 1/30*d**5 - 19 - 1/4*d**4 + 0*d**3. Factor p(h).
-2*h*(h + 3)
Suppose -1627 = 5*a + r, 3*a + 4*r + 77 = -889. Let b = a - -330. What is s in 0*s - 1/10*s**2 + 1/10*s**5 - 1/10*s**3 + 1/10*s**b + 0 = 0?
-1, 0, 1
Let r(t) be the first derivative of -198 + 0*t + 32*t**2 + 4/3*t**3. Find x, given that r(x) = 0.
-16, 0
Let d(w) be the second derivative of -w**6/10 + 5*w**4/4 - 6*w**2 - w - 67. Let d(l) = 0. What is l?
-2, -1, 1, 2
Let d(x) be the second derivative of x**5/80 + x**4/4 - 27*x**3/8 + 17*x**2/2 + x + 157. Factor d(w).
(w - 4)*(w - 1)*(w + 17)/4
Let m = -853363 - -853365. Let x(i) = 3*i. Let z be x(1). Factor -1/6*n**5 - 1/3*n**z + 1/3*n**m - 1/2*n**4 + 1/2*n + 1/6.
-(n - 1)*(n + 1)**4/6
Let p(r) = r**3 - 8*r**2 - 8*r - 7. Let l be p(9). Solve 18*b**2 + 3*b - 23*b**l + 4*b**2 - 2 = 0.
1, 2
Let o(p) be the first derivative of -2*p**5/15 - 83*p**4/3 + 226*p**3/3 + 168*p**2 + 3022. What is n in o(n) = 0?
-168, -1, 0, 3
Let m(i) be the first derivative of 2*i**3/21 + 110*i**2/7 - 234*i + 5158. Suppose m(x) = 0. Calculate x.
-117, 7
Let i(z) be the third derivative of -z**6/240 + 27*z**5/20 - 107*z**4/16 + 40*z**3/3 - 464*z**2 + 4*z. Factor i(g).
-(g - 160)*(g - 1)**2/2
Let n = -239850 - -239854. Factor -k**3 + 1/12*k**n - 8*k + 16/3 + 13/3*k**2.
(k - 4)**2*(k - 2)**2/12
Suppose 2*z - 7*v + 4*v = -281, -z + 2*v = 143. Let q be 2 + (z/84 - 1/(-3)). Factor -13/4*u**3 + 3/4*u**4 - q*u - 17/4*u**2 + u**5 + 1/2.
(u - 2)*(u + 1)**3*(4*u - 1)/4
Let v(w) be the third derivative of -w**6/40 + 5*w**5/24 - 7*w**4/16 - 272*w**2. Factor v(l).
-l*(l - 3)*(6*l - 7)/2
Determine k so that 1/4*k**3 + 9*k - 39/4*k**2 + 19 = 0.
-1, 2, 38
Let o be ((-88)/(-110))/((-33)/55)*-9*6. Factor -4/5*l**2 - 1620 + o*l.
-4*(l - 45)**2/5
Find f, given that -122*f**2 - 432*f + 124*f**2 - 976 - 542*f = 0.
-1, 488
Suppose 4*n + 39 = 6*n - 3*s, 5*n + 5*s = -40. Factor 2/3*a**n + 170*a + 62/3*a**2 + 150.
2*(a + 1)*(a + 15)**2/3
Let v = 2/1910325 + 9551621/3820650