1371)/8
Let 3368*q + 17060*q**2 + 590 - 12700*q**2 + 75*q**3 - 7193*q = 0. Calculate q.
-59, 1/5, 2/3
Let g(f) be the third derivative of f**8/168 + 52*f**7/105 + 817*f**6/60 + 1867*f**5/15 + 1679*f**4/3 + 4232*f**3/3 - 223*f**2. Solve g(c) = 0.
-23, -2
Let p(r) = 16*r**2 - 366*r - 7046. Let j(t) = -2*t**2 + 3*t - 1. Let f(u) = 10*j(u) + p(u). Factor f(y).
-4*(y + 42)**2
Let q be (-13)/7 + 2 - (-13)/7. Suppose -q*a + 1 = -3. Find w, given that 19*w**a - 30*w**3 - 218*w + 92*w**2 + 24 + 84 + 38*w + 3*w**4 = 0.
2, 3
Let w(v) be the second derivative of 5/42*v**7 + 0*v**2 + 49*v - 1/5*v**5 + 1/2*v**4 - 1/6*v**3 + 0 - 1/5*v**6. What is i in w(i) = 0?
-1, 0, 1/5, 1
Factor 30*z**2 + z**4 - 168242 - 15*z**3 + 168312 + 123*z + 7*z**2.
(z - 10)*(z - 7)*(z + 1)**2
Let a be 33 + (-4)/(-4) + -3. Factor 13*n**2 + 43*n + 5*n + 19*n**2 - 37 - 12*n - a*n**2.
(n - 1)*(n + 37)
Suppose 2*y = n - 9, -29*n = -25*n - y - 15. Factor -4*q**5 + 15136*q**2 - 3820*q - 344*q**4 - 628*q**3 - 4800*q - 6416*q**n + 876*q.
-4*q*(q - 1)**2*(q + 44)**2
Let t(v) be the second derivative of -v**4/108 - 11*v**3/27 + 15*v**2/2 + 289*v - 1. Factor t(j).
-(j - 5)*(j + 27)/9
Let u = 4 + -4. Suppose -4 = i - 2*r, 217 = 5*r + 202. Suppose 2/11*j**3 - 2/11*j**4 + u + 0*j + 0*j**i = 0. Calculate j.
0, 1
Suppose 5*a = 8*g - 10*g + 16, -3*a = 4*g - 18. Suppose 0*o = a*o - 6. Factor -8*n**o + 0 + 22/3*n**2 - 6*n**4 - 4/3*n.
-2*n*(n + 2)*(3*n - 1)**2/3
Determine s, given that 1320*s**2 + 1318*s + 2*s**3 + 432515 - 432515 = 0.
-659, -1, 0
Let d(m) = -m**2 + 4*m + 2700. Let o be d(54). Let s(a) be the third derivative of o*a - 1/72*a**4 + 1/180*a**5 - 1/9*a**3 + 6*a**2 + 0. Factor s(c).
(c - 2)*(c + 1)/3
Let w = 1265 - 1264. Let r be 243/27*w/12. Factor -15/4 + 15/4*d**2 + 3/4*d**3 - r*d.
3*(d - 1)*(d + 1)*(d + 5)/4
Let w(f) = 55*f**2 - 340*f - 440. Let r(y) = 5*y**2 - 31*y - 40. Suppose 3*s = 10*s + 315. Let o(j) = s*r(j) + 4*w(j). Factor o(n).
-5*(n - 8)*(n + 1)
Let m = 949/5 - 2722/15. Suppose 0 = -2*u - 3*p + 15, -u + 5 + 10 = 3*p. Factor u - 1/3*j**4 - m*j - 5*j**2 + 3*j**3.
-j*(j - 5)**2*(j + 1)/3
Suppose -11*d - 5*d = -23696. Let 80*x**3 + d*x**2 - 241*x**2 + 21 + 605*x + 7 + 47 = 0. What is x?
-15, -1/4
Let u(w) be the second derivative of -w**5/80 - 379*w**4/16 - 143641*w**3/8 - 54439939*w**2/8 + 1006*w. Determine o, given that u(o) = 0.
-379
Let p(q) be the third derivative of -24*q**2 + 1/360*q**5 + 0 + 3/4*q**3 - 7/36*q**4 + 2*q. Solve p(a) = 0 for a.
1, 27
Let d(y) be the first derivative of y**5/5 + 66*y**4 + 5808*y**3 - 2510. Factor d(j).
j**2*(j + 132)**2
Let f = 2892649/3 + -964116. Determine h so that 4/3*h**4 + 100/3 + f*h**2 + 25*h**3 - 160*h = 0.
-10, 1/4, 1
Let d(o) = o**3 + 5*o**2 + 2*o + 6. Let f be d(-5). Let q be (-15 - -11)*2/f. Find k, given that -2*k**2 - k**2 + q*k**2 - 2*k**2 + 6*k - 3*k**3 = 0.
-2, 0, 1
Let z(s) be the first derivative of -265*s**3 + 121*s**2 - 8*s - 204. Let z(w) = 0. What is w?
2/53, 4/15
Let p(m) be the second derivative of m**4/42 + 782*m**3/21 + 152881*m**2/7 + 2*m + 192. Factor p(i).
2*(i + 391)**2/7
Suppose -238 = -42*z + 266. Let i(s) be the third derivative of -s**4 + 8*s**2 + 1/30*s**5 + 0 + 0*s + z*s**3. Factor i(h).
2*(h - 6)**2
Let f be ((-456)/(-20))/(1/((-25)/(-5))). Factor 16 - 4*y**2 - 140 + f*y - 67*y + 81*y.
-4*(y - 31)*(y - 1)
Let a(g) = 29*g**3 + 175*g**2 - 8*g - 9. Let u be a(-6). Suppose -60 = -u*t + 60*t. What is r in 0 + 0*r**3 - 3/5*r**2 + 1/5*r**t - 2/5*r = 0?
-1, 0, 2
Suppose 2*y + 16*y - 8*y - 60 = 0. Let l(o) = -9*o**2 + 5*o - 9*o - 5*o. Let i(d) = d**2 + d + 1. Let v(u) = y*i(u) + l(u). Factor v(w).
-3*(w - 1)*(w + 2)
Let n = 2065471/5 - 413093. Factor 0 + 6/5*a**2 - n*a**4 - 18/5*a + 18/5*a**3.
-6*a*(a - 3)*(a - 1)*(a + 1)/5
Let w(d) = 4*d**2 - 15991*d + 15904118. Let j(k) = -k**2 + 3997*k - 3976030. Let g(q) = -13*j(q) - 3*w(q). Find h such that g(h) = 0.
1994
Let i(w) be the second derivative of w**7/105 + 7*w**6/75 - 11*w**5/25 - 14*w**4/15 + 24*w**3/5 + 5*w + 110. Solve i(j) = 0 for j.
-9, -2, 0, 2
Let z(x) be the third derivative of x**7/560 - 5*x**6/16 + 717*x**5/40 - 575*x**4/2 + 2116*x**3 + 2*x**2 + 499*x. Factor z(p).
3*(p - 46)**2*(p - 4)**2/8
Let f(m) = m**2 + 3. Let y(p) = -8*p**2 + 6*p + 18. Let q be 4/(-6) + 9/(-27). Let u(d) = q*y(d) - 6*f(d). What is w in u(w) = 0?
-3, 6
Let w = 6/85 + 73/170. Let f be -2 - ((-12)/8 - 1). Factor 1/2 - 1/2*a**2 + f*a**3 - w*a.
(a - 1)**2*(a + 1)/2
Let v be 455/273 - 34/24. Let b(q) be the second derivative of -v*q**4 - 3*q**2 + 3/2*q**3 - 5*q + 0. Factor b(h).
-3*(h - 2)*(h - 1)
Let z(f) be the third derivative of 7/180*f**5 + 1/6*f**3 + 0*f + 68*f**2 + 0 + 7/54*f**4 + 1/540*f**6. Suppose z(l) = 0. Calculate l.
-9, -1, -1/2
Let a(i) be the third derivative of -i**6/160 - 23*i**5/16 + 59*i**4/4 - 119*i**3/2 + 3969*i**2. Factor a(p).
-3*(p - 2)**2*(p + 119)/4
Solve -998/11*x**3 + 0 - 2/11*x**4 + 125000/11*x - 124000/11*x**2 = 0 for x.
-250, 0, 1
Let g(z) be the first derivative of -z**6/18 + 11*z**5/15 - 7*z**4/12 - 37*z**3/3 + 12*z**2 + 108*z - 2629. Determine r so that g(r) = 0.
-2, 3, 9
Let g(k) be the third derivative of k**6/40 - 14*k**5/5 - 93*k**4/2 + 6*k**2 + 4*k - 94. Factor g(m).
3*m*(m - 62)*(m + 6)
Factor -237 - 85/3*f**2 - 161*f - 1/3*f**3.
-(f + 3)**2*(f + 79)/3
Let d(c) be the first derivative of -50/17*c**2 - 1250/17*c - 2/51*c**3 + 110. Suppose d(h) = 0. Calculate h.
-25
Let n(m) be the second derivative of -1/63*m**7 + 0 - 1/45*m**6 + 1/15*m**5 + 0*m**2 - 193*m + 0*m**4 + 0*m**3. Factor n(c).
-2*c**3*(c - 1)*(c + 2)/3
Let q(a) be the third derivative of -31/120*a**4 - a**3 + 222*a**2 + 0*a + 0 + 0*a**5 + 1/600*a**6. Solve q(r) = 0.
-5, -1, 6
Let h = -24 + 17. Let n = h - -17. Find w, given that -6*w**2 + 16*w - 13*w**3 - n*w**2 + 17*w**3 = 0.
0, 2
Solve 58320 + 5*i**5 + 3495*i**3 + 215*i**4 + 81000*i + 12604*i**2 + 12107*i**2 + 1254*i**2 = 0 for i.
-12, -9, -1
Let d(m) = -8*m - 37. Let z be d(-5). Let l(o) be the third derivative of -10*o**2 + 0*o - 1/66*o**4 - 1/330*o**5 - 1/33*o**z + 0. Suppose l(x) = 0. What is x?
-1
Let b(x) be the second derivative of -x**7/42 - 3*x**6/8 - 5*x**5/4 + 125*x**4/24 - 91*x**2 + 5*x - 7. Let y(g) be the first derivative of b(g). Solve y(f) = 0.
-5, 0, 1
Let o(u) be the third derivative of u**7/945 + 31*u**6/180 + 46*u**5/135 + 190*u**2 - 3*u. Find s, given that o(s) = 0.
-92, -1, 0
What is q in -12*q**2 - 5*q**2 - 813696 - 3684*q + 2573041 + 1633619 + 18*q**2 = 0?
1842
Let m(j) be the second derivative of j**5/40 - 3*j**4/8 + 9*j**3/4 + 69*j**2/2 + 103*j. Let l(s) be the first derivative of m(s). Factor l(v).
3*(v - 3)**2/2
Let m = -13220746/9 + 1468972. Find l such that m*l + 20/3*l**2 + 50*l**3 + 0 = 0.
-1/15, 0
Let j(q) = -29*q**2 - 26*q + 111. Let f(v) = 1555 - 175*v - 179*v + 33*v - 410*v**2 - 60*v + 16*v. Let b(y) = 6*f(y) - 85*j(y). Factor b(t).
5*(t - 3)*(t + 7)
What is b in -55/2 - 27/2*b + 3/8*b**2 + 1/8*b**3 = 0?
-11, -2, 10
Let g(m) be the first derivative of -4*m + 109 + 0*m**2 + 4/3*m**3. Solve g(k) = 0 for k.
-1, 1
Let p(f) be the second derivative of -14/3*f**3 + 1/6*f**4 + 49*f**2 - 2*f + 40. Suppose p(b) = 0. Calculate b.
7
Let j = 3239 - 3239. Let v(q) be the second derivative of 0 + j*q**2 + 12*q + 0*q**3 + 1/7*q**6 + 3/10*q**5 + 1/49*q**7 + 3/14*q**4. Let v(f) = 0. Calculate f.
-3, -1, 0
Let s(j) = 5*j**4 + 1091*j**3 + 2942*j**2 - 798*j - 21. Let d(h) = h**4 + h**3 - 2*h + 7. Let f(i) = 3*d(i) + s(i). Let f(q) = 0. Calculate q.
-134, -3, 0, 1/4
Let b be ((3/1)/(-3))/((-2037)/679). Suppose 1/3*s**3 - b*s - 1 + s**2 = 0. What is s?
-3, -1, 1
Suppose -8*w - 168 = -20*w. Suppose 0 = -2*q - w*r + 9*r + 25, -3*r = -5*q - 15. Factor q - 1/9*s + 1/9*s**2.
s*(s - 1)/9
Suppose -3*q = 2*q - 20. Suppose 0 = q*f + a - 8, 5*f - 1 = 2*f - 2*a. What is c in f*c**4 + 15*c - 15*c**3 + 672 + 2*c**4 + 5*c**2 - 682 = 0?
-1, 1, 2
Determine z, given that -24/7*z**2 - 2/7*z**3 + 0 + 2/7*z**4 + 0*z = 0.
-3, 0, 4
Determine j, given that 106*j + 7*j**4 + 326*j**2 - 2*j**4 + 49*j**3 + 110*j - 4*j**4 + 62*j**3 = 0.
-108, -2, -1, 0
Let w(s) be the first derivative of 8*s**3/21 - 2271*s**2/7 - 1136*s/7 + 2652. Factor w(f).
2*(f - 568)*(4*f + 1)/7
Let y = -20609/3 + 6871. Let i = -2/35 - -76/105. Let -y*f + 2 - i*f**2 = 0. 