*2*(p - 1)
Let s(y) be the second derivative of -y**5/120 + y**4/8 - 5*y**3/12 + 11*y**2 - 9*y - 1. Let j(x) be the first derivative of s(x). Solve j(g) = 0 for g.
1, 5
Let z(u) be the third derivative of 2*u**7/21 - 62*u**6/5 - 378*u**5/25 + 338*u**4/15 - 10*u**3 - 157*u**2 + 1. Solve z(v) = 0 for v.
-1, 1/5, 75
Factor 65421 + 19929*q + 3*q**3 + 84018 - 12411 + 86559 - 519*q**2.
3*(q - 91)**2*(q + 9)
Let -3*f**4 - 237/2*f**3 - 312*f**2 - 198*f + 0 + 3/2*f**5 = 0. What is f?
-6, -2, -1, 0, 11
Solve -33 + 1/2*t**4 + 35/2*t - 35/2*t**3 + 65/2*t**2 = 0.
-1, 1, 2, 33
Let q(i) be the first derivative of -2*i**5/5 - 4*i**4/9 + 34*i**3/27 + 7499. Suppose q(w) = 0. Calculate w.
-17/9, 0, 1
Let o(l) be the third derivative of l**7/210 + 3*l**6/40 + 2*l**5/15 + 452*l**2 - 3*l. Factor o(c).
c**2*(c + 1)*(c + 8)
Let o(n) be the third derivative of n**7/420 + 7*n**6/80 + 7*n**5/15 + 3*n**4/4 + 2*n**2 - 244*n. Factor o(s).
s*(s + 1)*(s + 2)*(s + 18)/2
Let b be (-1)/(-3) + (-23)/(-3). Let u = -37564 - -37600. Factor 4*c**5 - 34*c**2 + b*c - 6*c**2 + u*c**3 - 20*c**4 + 12*c**2.
4*c*(c - 2)*(c - 1)**3
Let g(n) = -3*n**3 - 202*n**2 + 1901*n + 40. Let z(s) = 2*s**3 + 134*s**2 - 1268*s - 25. Let b(q) = -5*g(q) - 8*z(q). Determine w so that b(w) = 0.
-71, 0, 9
Let w(s) be the first derivative of -1/24*s**3 - 5/16*s**2 + 144 - 1/2*s. Determine i so that w(i) = 0.
-4, -1
Let l = 658 - 642. Factor l*u**4 + 92*u - 106*u**3 - 22*u**3 + 4065 - 12*u**2 - 4033.
4*(u - 8)*(u - 1)*(2*u + 1)**2
Let y = -337610 + 1012834/3. Suppose y*o**4 - 40/3*o**3 - 736/3*o - 112*o**2 - 512/3 = 0. What is o?
-2, 16
Let a(b) be the first derivative of 5*b**4/4 + 40*b**3/3 + 65*b**2/2 + 30*b - 2685. Determine q so that a(q) = 0.
-6, -1
Let c(y) be the first derivative of -20*y**3/9 + 233*y**2/3 - 46*y - 215. Factor c(b).
-2*(b - 23)*(10*b - 3)/3
Suppose 9 = f - 39. Let z be f/42*7/2. Solve u**z + 186*u**2 - 186*u**2 - u**3 = 0 for u.
0, 1
Let n(v) be the second derivative of -v**10/151200 + v**8/2800 - 2*v**7/1575 + 187*v**4/12 + 9*v - 12. Let p(d) be the third derivative of n(d). Factor p(j).
-j**2*(j - 2)**2*(j + 4)/5
Let d(z) be the second derivative of 8*z**6/45 + 58*z**5/5 - 2623*z**4/36 + 28*z**3 + 1269*z**2/2 - 7230*z. Solve d(u) = 0.
-47, -1, 9/4
Let n(f) be the second derivative of f**6/45 + 161*f**5/30 - f**4/6 - 481*f**3/9 + 322*f**2/3 - 12555*f. Solve n(q) = 0.
-161, -2, 1
Suppose 0*i - 36 = -9*i. Factor -5*j - 11*j - 14*j**3 - j**i + 99*j**2 + 107*j**2 - 175*j**2.
-j*(j - 1)**2*(j + 16)
Factor 1425/4*n - 3/2 - 531*n**2.
-3*(3*n - 2)*(236*n - 1)/4
Solve -83/4*l**3 + 83/4*l - 87 + 349/4*l**2 - 1/4*l**4 = 0 for l.
-87, -1, 1, 4
Let t(m) be the second derivative of 1/55*m**6 + 2/5*m**5 - 3 + 5*m + 104/33*m**4 + 112/11*m**3 + 144/11*m**2. Find r, given that t(r) = 0.
-6, -2, -2/3
Let c(j) = -17*j**2 - j**3 + 469*j + 206 - 280*j - 15*j**4 - 10. Let a(l) = 2*l**4 - l**3. Let w(y) = 24*a(y) + 3*c(y). Factor w(s).
3*(s - 7)**2*(s + 1)*(s + 4)
Determine s, given that -314/3*s**2 + 12166/3*s + 12482/3 + 2/3*s**3 = 0.
-1, 79
Let v(g) be the third derivative of -g**8/112 + 33*g**7/70 - 41*g**6/4 + 1169*g**5/10 - 5733*g**4/8 + 3773*g**3/2 - 2*g**2 + 4*g. Factor v(u).
-3*(u - 11)*(u - 7)**3*(u - 1)
Let c be -3 + (-7 - (-20 - -6)). Suppose -p - 2*j = -8 - 8, c*j = 20. Solve -2/3*n**5 + 4*n**4 + 0 - p*n**3 + 0*n + 8/3*n**2 = 0 for n.
0, 1, 4
Let y = 4334 - 4329. Let t(w) be the third derivative of 0 - 1/280*w**7 + 0*w + 9*w**2 + 0*w**4 + 0*w**3 + 0*w**y + 1/40*w**6. Factor t(j).
-3*j**3*(j - 4)/4
Let i(w) be the third derivative of w**8/211680 - w**7/13230 + 3*w**5/20 - 26*w**2. Let v(a) be the third derivative of i(a). Factor v(z).
2*z*(z - 4)/21
Let b(k) be the first derivative of 0*k + 0*k**2 - 3/20*k**5 - 15/16*k**4 + 21 - 3/2*k**3. Factor b(c).
-3*c**2*(c + 2)*(c + 3)/4
Let m(p) = p**3 + p**2 + 9*p - 5. Let k(n) = 5*n**3 - 1977*n**2 - 20 + 1983*n**2 + 49*n - 13*n. Let y(o) = -2*k(o) + 9*m(o). Factor y(l).
-(l - 1)**2*(l + 5)
Let q(b) be the second derivative of 1379*b**4/3 + 2*b**3/3 - 3358*b. Find v such that q(v) = 0.
-1/1379, 0
Solve 0 + 8/7*x + 8/7*x**2 + 2/7*x**3 = 0.
-2, 0
Solve -1/2*c**3 + 0 + 3*c**2 - 9/2*c = 0.
0, 3
Let p = 5006 - 5001. Let t(h) be the second derivative of -18*h - 8*h**3 + 0 - 16*h**2 - 1/5*h**p - 2*h**4. Let t(v) = 0. Calculate v.
-2
Let w(r) be the first derivative of -r**5/15 + 71*r**4/12 - 68*r**3/9 - 70*r**2/3 + 2995. Let w(n) = 0. What is n?
-1, 0, 2, 70
Let p = -27 + 26. Let u be ((-8)/(-2) - 2) + (-31)/p. Factor -448*x**2 - 5 + 6 - 98*x**3 - 232*x - u.
-2*(x + 4)*(7*x + 2)**2
Let i = -3 - -5. Let d be (5 + -2*15/5)*-2. Factor -2 - 11 + 7*b + 7*b**2 + 15 - d*b**i.
(b + 1)*(5*b + 2)
Let q(x) be the first derivative of -2*x**3/5 - 8*x**2/5 + 1516. Factor q(k).
-2*k*(3*k + 8)/5
Let n be 1 - 20/(-112)*4. Let h = 27/7 - n. Find d such that -h*d + 6/7 + 6/7*d**3 + 3/7*d**2 = 0.
-2, 1/2, 1
Factor 739*i - 2655*i**2 - 1957*i + 125*i**4 - 810 + 1026*i + 225*i**3 + 2447*i + 580*i.
5*(i - 3)*(i + 6)*(5*i - 3)**2
Let g(r) be the second derivative of 2*r**5/55 - 10*r**4/33 - 287*r**3/33 - 588*r**2/11 - 15*r - 11. Factor g(v).
2*(v - 12)*(2*v + 7)**2/11
Suppose -2*j = -5*p + 5125, -5110 = -0*p - 5*p - j. Factor -1026*w**5 + 30*w**3 + 2054*w**5 - p*w**5 + 25*w**4.
5*w**3*(w + 2)*(w + 3)
Let t be ((-12)/14)/(-3) + 57/21. Suppose 3*j = -2*j - 5, -j = t*z - 5. Find m, given that -3*m**5 + 10*m**4 - 5*m**z - 5*m**2 + 5*m + 0*m**4 - 2*m**5 = 0.
-1, 0, 1
Factor -136/3*m**3 - 8576/3*m + 4754/3*m**2 - 4489 + 1/3*m**4.
(m - 67)**2*(m - 3)*(m + 1)/3
Let c(d) be the third derivative of -1/6*d**4 - 3 + 4*d**2 + 7/30*d**5 + 0*d - 2/15*d**6 + 0*d**3 + 1/35*d**7. Factor c(x).
2*x*(x - 1)**2*(3*x - 2)
Suppose 4*m = -f + 54, -7*f = -3*f + m - 276. Suppose -23*r = -9*r - f. Determine t, given that 0*t + 0 + 6/5*t**2 - 6/5*t**4 - 2/5*t**r + 2/5*t**3 = 0.
-3, -1, 0, 1
Let b = -847 - -4307/5. Let o(j) be the first derivative of 2/15*j**3 + 20 + 12/5*j**2 + b*j. Factor o(s).
2*(s + 6)**2/5
Let t(r) be the second derivative of 3*r**5/100 + 597*r**4/20 + 118803*r**3/10 + 23641797*r**2/10 - r + 942. Factor t(o).
3*(o + 199)**3/5
Let q(a) be the second derivative of -a**6/105 + 17*a**5/70 - 5*a**4/14 - 87*a**3/7 + 540*a**2/7 + 369*a. Solve q(g) = 0 for g.
-4, 3, 15
Let y(u) = -33*u - 1087. Let c be y(-33). Let o(p) be the first derivative of -1/2*p**2 + c + 1/3*p**3 + 0*p. Factor o(b).
b*(b - 1)
Let p(l) be the first derivative of 2*l**3/33 - 850*l**2/11 - 8755. Let p(q) = 0. What is q?
0, 850
Factor 0 + 15*m**2 + 1/3*m**4 + 22/3*m + 8*m**3.
m*(m + 1)**2*(m + 22)/3
Determine k, given that -145769*k + 2*k**2 + 0*k**2 + 146797*k + 117900 + 14198 = 0.
-257
Determine f, given that -40*f**2 + 5*f**5 + 82737*f - 62*f**4 + 124*f**3 - 82737*f = 0.
0, 2/5, 2, 10
Let d(k) be the third derivative of k**7/42 + 29*k**6/8 - 67*k**5/3 + 75*k**4/2 - 2248*k**2. Factor d(w).
5*w*(w - 2)*(w - 1)*(w + 90)
Let t be -5 + 24 + (-227)/12. Let s(b) be the second derivative of 0*b**3 - 1/90*b**6 - 2*b + t*b**5 + 0 + 0*b**2 - 1/6*b**4. Suppose s(k) = 0. Calculate k.
0, 2, 3
Let t be 18 + (-95)/4 + (-144)/(-18). Factor t*g**2 + 3/2*g + 0 + 3/4*g**3.
3*g*(g + 1)*(g + 2)/4
Let q be ((45/(-6))/5)/(30/6360). Let x be 6 + (5 - q/(-30)). Let -4/5*s**3 + x*s**4 + 2/5*s**2 + 0*s + 0 = 0. What is s?
0, 1
Let s(k) = -k**4 + 2089*k**3 + 75 - 25*k - 4*k**4 - 2124*k**3 - 5*k**2. Let p(j) = -j**2 + j - 3. Let a(q) = -25*p(q) - s(q). Factor a(d).
5*d**2*(d + 1)*(d + 6)
Let v(o) be the first derivative of 10/3*o**3 - 5/6*o**4 - 13/2*o**2 + 1/12*o**5 + 15 + 0*o. Let j(c) be the second derivative of v(c). Factor j(t).
5*(t - 2)**2
Let m(t) = t**2 - 65*t - 356. Let s be m(70). Let j(f) = 19*f + 114. Let z be j(s). Factor 24/5*u + 22/5*u**2 + z - 2/5*u**3.
-2*u*(u - 12)*(u + 1)/5
Let d(x) be the third derivative of 0*x**3 + 1/15*x**5 - 12*x**2 + 2/9*x**4 - 1/630*x**7 + 0*x + 0*x**6 + 0. Factor d(m).
-m*(m - 4)*(m + 2)**2/3
Let r(k) = -k**2 - 7*k**3 - 2*k + k**3 + 5*k**3 + 3*k. Let s(q) = 35*q**2 - 110*q**3 - 40 - 67*q**2 - 103*q**2 + 165*q. Let p(i) = -15*r(i) - s(i). Factor p(y).
5*(y + 2)*(5*y - 2)**2
Let x be (-2)/(-4) + 1/((-6)/(-111)). Factor -2*s + 18*s**2 - 30*s**2 - 3 - 2*s**3 + x*s**2.
-(s - 3)*(s - 1)*(2*s + 1)
Let y(h) be the seco