 10/9*u**3 + 8/9 = 0.
-1, 1, 4
Let y be (-14 + 7 - -48) + -1. Let c be y/(-48)*11/(275/(-20)). Let -c*z**2 + 16/3 - 4/3*z = 0. What is z?
-4, 2
Let l(b) be the third derivative of b**6/200 + b**5/20 - 81*b**4/20 - 252*b**3/5 + 19*b**2 + 55*b + 2. Factor l(h).
3*(h - 12)*(h + 3)*(h + 14)/5
Let u(m) be the second derivative of -m**5/10 + 7*m**4/6 + 40*m**3/3 + 44*m**2 - 2*m + 2499. Solve u(f) = 0.
-2, 11
Let i(d) be the first derivative of -d**6/39 - 32*d**5/65 - d**4/2 + 20*d**3/13 - 812. Solve i(y) = 0 for y.
-15, -2, 0, 1
Let j(p) = -2*p**3 - 8*p**2 - 7*p + 1. Let l be j(-3). Factor 3441*d**2 + 28*d**3 - 3409*d**2 - 6*d**4 + 2*d**l + 0*d**4.
-4*d**2*(d - 8)*(d + 1)
Let r(t) be the third derivative of 27*t**6/10 + 573*t**5/5 - 1624*t**4/3 + 2944*t**3/3 - 2388*t**2. Suppose r(h) = 0. What is h?
-23, 8/9
Suppose 0 = 308*i - 303*i - 30. Let m(p) = -p**3 - 4*p**2 - 2*p + 3. Let r be m(-3). Solve -8*q - 4*q**4 - 6 - 20*q**2 + r*q - 16*q**3 + i = 0 for q.
-2, -1, 0
Suppose 690 = 2*r - 2*u, 14*r - 13*r = 3*u + 345. Suppose -r*l - 6 = -348*l. Solve -18/11*s + 12/11*s**l + 8/11 - 2/11*s**3 = 0 for s.
1, 4
Let m(f) be the first derivative of -7*f**5/10 - 3*f**4/2 + 7*f**3/6 + 3*f**2 - 968. Let m(p) = 0. What is p?
-12/7, -1, 0, 1
Let f(s) = s**3 + 13*s**2 + 2*s + 227. Let r be f(-14). Let u(n) be the first derivative of 18 - 22/7*n**2 - 2/21*n**r - 242/7*n. What is a in u(a) = 0?
-11
Let l(v) = 5*v**2 + 1. Let w(d) = 2*d**2 + d + 1. Suppose 0 = -0*k + 8*k + 24. Let s(b) = k*w(b) + l(b). Factor s(n).
-(n + 1)*(n + 2)
Let x(s) be the first derivative of 11*s**3/2 - 3393*s**2/4 - 309*s + 1289. What is h in x(h) = 0?
-2/11, 103
Suppose 464 + 121 = 15*a. Suppose -a = -123*h + 110*h. Suppose 1/5*k**4 - 8/5*k**h + 22/5*k**2 + 9/5 - 24/5*k = 0. What is k?
1, 3
Let d(p) be the second derivative of -p**7/2520 + p**6/120 - p**5/15 + 2*p**4/9 + 17*p**3/2 + 20*p. Let y(s) be the second derivative of d(s). Factor y(l).
-(l - 4)**2*(l - 1)/3
Let z = 7740 + -116084/15. Let j(l) be the second derivative of 8/5*l**2 + 0 + 1/25*l**5 + 18*l + z*l**3 + 1/3*l**4. Factor j(s).
4*(s + 1)*(s + 2)**2/5
Suppose -2*d - 4*u = -46, 37*d = 39*d - 3*u - 18. Solve 8*f**5 - 12*f**3 + 22*f**3 - d*f + 7 - 15*f**4 - 3*f**5 - 2 + 10*f**2 = 0.
-1, 1
Let f be (-22)/77*(-15 + 1). Factor 15*z - 2*z + f*z - 4*z + 10 - 28*z**2 + 5*z**3.
(z - 5)*(z - 1)*(5*z + 2)
Let r be -3 + 15/(-6)*16/(-40). Let l be 25*r/(-40) + 14/(-16). Factor 0*h**2 + 0 + 0*h - l*h**5 - 3/4*h**3 - 9/8*h**4.
-3*h**3*(h + 1)*(h + 2)/8
Let a = 281284/984543 - -2/140649. Solve a*z**3 + 0*z - 8/7 + 6/7*z**2 = 0 for z.
-2, 1
Suppose 9 + 3 = s. Suppose -3*x - 2*b + 14 = -0*b, -s = -3*b. Factor 22*h - 28*h**2 - 6 - 4*h**5 + 13*h**3 + x*h**5 - h**3 + 2*h**4.
-2*(h - 1)**4*(h + 3)
Let m = -2477 - -66881/27. Let l(z) be the first derivative of 5/9*z**2 + m*z**3 + 0*z + 21. Determine j so that l(j) = 0.
-5, 0
Factor -288/7 - 598/7*t - 332/7*t**2 - 22/7*t**3.
-2*(t + 1)**2*(11*t + 144)/7
Let t be -7*((-1400)/75 - -16)/(15/9). Let -2/5*q**2 - t - 32/5*q = 0. Calculate q.
-14, -2
Let u(y) be the second derivative of -y**6/3 + 403*y**5/10 + 97*y**4 - 652*y**3/3 - 328*y**2 - 3619*y. Solve u(f) = 0 for f.
-2, -2/5, 1, 82
Let d(n) be the third derivative of n**7/70 - 29*n**6/120 + 5*n**5/12 + 197*n**4/24 + 70*n**3/3 - 18*n**2 + 6*n. Suppose d(j) = 0. Calculate j.
-4/3, -1, 5, 7
Suppose -4*u = 3*s - 6*s - 428, 214 = 2*u + s. Factor 104*q + 32*q**5 - 12*q**3 + 30*q**2 + 32 + 14*q**2 - 5*q**5 - 7*q**3 - u*q**3 - 81*q**4.
(q - 4)*(q - 1)*(3*q + 2)**3
Let z(m) be the third derivative of 0 + 1/15*m**3 + 3/50*m**5 + 1/10*m**4 - 52*m**2 + 0*m. Factor z(k).
2*(3*k + 1)**2/5
Let h = -11058 - -11062. Let s(n) be the second derivative of 0*n**3 - 1/6*n**h + 0 + 4*n**2 + 5*n. Suppose s(j) = 0. Calculate j.
-2, 2
Suppose 36*s - 33*s - 21 = 0. Let r(x) = 20*x**3 - 3*x**2 - 8*x. Let v(f) = 40*f**3 - 4*f**2 - 14*f. Let l(d) = s*r(d) - 4*v(d). Factor l(b).
-5*b**2*(4*b + 1)
Let h(f) = -2*f - 5. Let c be h(-7). Let n be (0 + 1)/(c/36). Factor -4*w**3 + 7*w**5 + 9*w**3 - 2*w**2 - 4*w**n - 6*w**5.
w**2*(w - 2)*(w - 1)**2
Let w = -17162 + 34331/2. Let m(v) be the first derivative of 7 - w*v**4 + 32/7*v + 16*v**3 + 108/7*v**2. Factor m(i).
-2*(i - 4)*(7*i + 2)**2/7
Let w be ((-24)/(-32))/((-320)/(-3328) - (-2)/13). Let d(v) be the first derivative of w*v**2 - 5/2*v - 3/2*v**3 - 22 + 1/4*v**4. Solve d(t) = 0.
1, 5/2
Suppose -q - 326 = -1215. Let y = q - 1773/2. Let -y*k**3 - 5*k**2 + 0 + 0*k = 0. Calculate k.
-2, 0
Suppose 5*d + 2*q - 15 = 0, -2*q = 2*d - 5*q - 6. Let f(w) = 9*w**2 - w - 146. Let b(y) = 8*y**2 - 2*y - 147. Let v(s) = d*f(s) - 4*b(s). Factor v(p).
-5*(p - 6)*(p + 5)
Let f = -817855630 + 375396101588/459. Let s = f + -65/459. Find l, given that -98*l**2 + 28/3*l**3 + 1372/3*l - s - 1/3*l**4 = 0.
7
Let i = 34093 - 16032. Factor -6*z**3 + 4*z**4 + 7*z**3 + 18073 - i + 7*z**3 - 8*z - 16*z**2.
4*(z - 1)**2*(z + 1)*(z + 3)
Let z(s) = 28*s**3 + 908*s**2 + 3124*s + 1092. Let g(k) = -k**3 + 2*k**2 - k. Let a(l) = -36*g(l) - 2*z(l). Factor a(o).
-4*(o + 3)*(o + 91)*(5*o + 2)
Suppose -2*y + y = -3. Suppose 755*w - 760*w + 20 = 0. Solve -10*h**w - 13*h**4 + h**5 + 0*h**5 + h**y + 25*h**4 = 0.
-1, 0
Let k(p) = -16*p**2 + p. Let c(s) = 92*s**2 + 18498*s - 21399876. Let a(i) = -c(i) - 6*k(i). Let a(l) = 0. What is l?
2313
Let b(j) be the second derivative of j**6/150 + 19*j**5/100 - 41*j**4/60 + 7*j**3/10 + 2*j + 596. Factor b(u).
u*(u - 1)**2*(u + 21)/5
Let f = 54515/245358 + 1/27262. Let z(q) be the first derivative of 2/9*q - 34 + f*q**2 + 2/27*q**3. Suppose z(t) = 0. What is t?
-1
Let f(k) = -7*k + 641. Let t be f(-71). Let w = t - 1138. Let -5/2*m**2 - m + w = 0. What is m?
-2/5, 0
Solve -1292768/7*l - 2276/7*l**3 + 645248/7 + 2/7*l**4 + 649794/7*l**2 = 0 for l.
1, 568
Let r be 16/(-6) + (-744)/(-279). Factor -3/5*t**4 - 240*t**2 + 24*t**3 + 0 + r*t.
-3*t**2*(t - 20)**2/5
Let k(h) be the first derivative of 1/24*h**4 + 151/12*h**2 + 79 + 77/18*h**3 + 25/2*h. Factor k(b).
(b + 1)**2*(b + 75)/6
Let x(d) be the second derivative of 9*d**4/4 + 37*d**3 + 24*d**2 + 2*d + 5. Let x(b) = 0. What is b?
-8, -2/9
Suppose 0 = 138*x - 143*x. Let w(r) be the third derivative of 0*r**3 + 0*r + x - 1/18*r**4 - 25*r**2 - 1/360*r**6 - 1/45*r**5. Factor w(v).
-v*(v + 2)**2/3
Let w(l) be the first derivative of -l**4/8 + 7*l**3/2 - 18*l**2 + 34*l + 818. What is v in w(v) = 0?
2, 17
Let i = -164166/7 - -492533/21. What is a in -35/3 + i*a**2 - 10*a = 0?
-1, 7
Suppose -3*j + 127 + 470 = 0. Let h = -73 + j. Suppose 31*r**2 + h*r**5 - 130*r**3 - 10 + 7 - 120*r**4 - 13 + 69*r**2 + 40*r = 0. Calculate r.
-2/3, 2/7, 1
Let g be (-7)/(-18)*354/9086. Let k(y) be the second derivative of 25/11*y**2 + 0 + 12*y + 10/33*y**3 + g*y**4. Factor k(h).
2*(h + 5)**2/11
Let p(i) be the first derivative of -46 - 7*i + 1/8*i**4 - 27/4*i**2 - 2*i**3. Factor p(v).
(v - 14)*(v + 1)**2/2
Factor 232*h + 0 - 2/19*h**2.
-2*h*(h - 2204)/19
Let i(z) be the second derivative of z**6/75 + 7*z**5/50 - z**4/5 - 24*z**3/5 + 9103*z. Factor i(p).
2*p*(p - 3)*(p + 4)*(p + 6)/5
Let a = 63 - -21. Let g be ((-48)/a)/((-4)/14). Factor 3 + 7 - 548*s + 2*s**g + 560*s.
2*(s + 1)*(s + 5)
Determine x, given that -16*x**4 - 14/9*x**5 - 48*x**3 - 32/3*x + 0 - 448/9*x**2 = 0.
-6, -2, -2/7, 0
Factor -3/2*t**4 + 963*t**3 + 14283525*t - 205110*t**2 + 89445375/2.
-3*(t - 215)**3*(t + 3)/2
Factor -3566646/5 - 3084/5*l - 2/15*l**2.
-2*(l + 2313)**2/15
Let r(l) be the third derivative of -l**5/180 + l**4/9 - 2*l**3/3 + 195*l**2. Factor r(s).
-(s - 6)*(s - 2)/3
Suppose -5*k + 3*o - 61011 = -61014, -5*o = 5*k + 5. Factor 3*w**2 + k + 6/5*w.
3*w*(5*w + 2)/5
Let d(i) be the second derivative of 13 + 0*i**2 + 32/45*i**3 + 4*i + 4/9*i**6 + 5/9*i**4 - 63/50*i**5 + 1/45*i**7. Suppose d(x) = 0. Calculate x.
-16, -2/7, 0, 1
Let l(t) = -t**3 - 18*t**2 - 56*t + 9. Let b be l(-14). Factor -25*j**2 + 1597*j**3 - 1618*j**3 + 54*j - 20*j**2 + 3*j**5 + b*j**4.
3*j*(j - 2)*(j - 1)*(j + 3)**2
Let n(l) be the first derivative of l**6 - 118*l**5/5 - 77*l**4 - 8*l**3/3 + 88*l**2 + 3664. Determine g so that n(g) = 0.
-2, -1, 0, 2/3, 22
Let s = 33358 - 33354. Factor 0 - 10*y**2 - 2/3*y**s + 0*y + 16/3*y**3.
-2*y**2*(y - 5)*(y - 3)/3
Let w(u) be the first de