 5/6*v**3 + 43 - 3/4*v**2. Let m(c) be the first derivative of t(c). Factor m(r).
-(r - 3)*(3*r - 1)/2
Suppose -6*a + 111 = 33. Suppose -6*p - 28 = -a*p. Suppose -15*k - p*k**2 - 8 + 10*k**4 - k**2 - 6*k**3 + 21*k**3 + 3 = 0. Calculate k.
-1, -1/2, 1
Let i(d) be the second derivative of d**4/4 - 46*d**3 + 270*d**2 - 1292*d + 2. Solve i(w) = 0 for w.
2, 90
Let y(k) be the first derivative of -2*k**3/3 - 254*k**2 + 510*k - 4159. Let y(j) = 0. What is j?
-255, 1
Let d(y) be the third derivative of -y**5/180 + 23*y**4/72 - 61*y**2 - 8. Factor d(j).
-j*(j - 23)/3
Let d(q) = -2*q**3 - q**2 + 47*q - 10. Let y(g) = g**3 - 24*g + 6. Let a(m) = -2*d(m) - 5*y(m). Let o be a(6). Factor 3/2*w + 0 - 3/4*w**3 - 3/4*w**o.
-3*w*(w - 1)*(w + 2)/4
Let y(k) = 501*k - 27552. Let h be y(55). Let -4/5*n**4 + 0*n + 4/5*n**2 + 0 + 0*n**h = 0. What is n?
-1, 0, 1
Let u = 621756 + -621753. Factor 0*y + 2/3*y**u - 32/3*y**2 + 0.
2*y**2*(y - 16)/3
Factor -143*n**2 + 221*n**3 - 424*n**4 + n**5 + 611*n**3 + 143*n**2 + 3*n**5.
4*n**3*(n - 104)*(n - 2)
Factor 0 - 102/5*o - 8*o**2 - 2/5*o**3.
-2*o*(o + 3)*(o + 17)/5
Let c = -89 - -104. Factor -7 + 20*r**3 + 9*r - 49*r + 36*r**2 + 40*r + c + 28*r + 4*r**4.
4*(r + 1)**3*(r + 2)
Let c = -265 + 591. Let w = 331 - c. Factor -1/3*n**w + 0*n - 1/3*n**4 + 0*n**3 + 0*n**2 + 0.
-n**4*(n + 1)/3
Let r(j) be the third derivative of j**5/100 + 2033*j**4/40 - 1017*j**3/5 - 17*j**2 + 2*j + 14. Factor r(w).
3*(w - 1)*(w + 2034)/5
Let z(d) = 3*d**2 + d. Let b(k) = 2*k**4 + 106*k**3 - 480*k**2 + 332*k. Let c(n) = b(n) + 10*z(n). Solve c(o) = 0 for o.
-57, 0, 1, 3
Let y(x) be the third derivative of 5*x - 22/21*x**5 + 0 + 0*x**3 + 2*x**2 - 1/1176*x**8 - 22/735*x**7 - 47/140*x**6 - 25/21*x**4. Determine g so that y(g) = 0.
-10, -1, 0
Factor -53*g**2 + 388*g + 57*g**2 + 496*g + 662*g + 168100 + 94*g.
4*(g + 205)**2
Suppose 488 = -6*t + 506. Factor 13*d**2 - 2*d + 0*d - 167*d**3 + 530*d**t - 183*d**3 - 165*d**3.
d*(d + 1)*(15*d - 2)
Let n(z) = 4*z**3 + 68*z**2 + 287*z + 2507. Let v be n(-15). Factor -867/2 - 3/2*l**3 - 765/2*l + 99/2*l**v.
-3*(l - 17)**2*(l + 1)/2
Let t = 825 - 726. Solve -22 - 2*v**3 - 3*v**3 + 120*v**2 + 15*v**2 + 285*v + 68 + t = 0.
-1, 29
Let n = 243 + -240. Factor -24*p + 26*p**3 - 14*p**n - 2*p**4 + 73*p**2 - 83*p**2.
-2*p*(p - 4)*(p - 3)*(p + 1)
What is q in 0*q**3 - 12/5 - 8/5*q**4 + 4*q**2 - 2/5*q + 2/5*q**5 = 0?
-1, 1, 2, 3
Suppose 3*h = -2*v + 5, -24*v + 19 = 5*h - 26*v. Let x(q) be the first derivative of 0*q + 2*q**2 + 16/3*q**3 + h*q**4 - 5. Let x(a) = 0. What is a?
-1, -1/3, 0
Let q be (1/3)/(15/(-9990)). Let d = q + 224. Find h such that 0 + 2/5*h**d + 4/5*h = 0.
-2, 0
Let p(m) be the second derivative of m**6/6 + 7*m**5/2 + 55*m**4/3 + 100*m**3/3 + 1304*m. Suppose p(y) = 0. Calculate y.
-10, -2, 0
Suppose -4 - 1500*a + 3735*a**3 + 2914*a**2 - 2511*a**2 - 2634*a**2 = 0. What is a?
-2/5, -2/747, 1
Let c(p) be the first derivative of -p**4/3 + 158*p**3/9 - 115*p**2/3 + 76*p/3 + 2906. Find g, given that c(g) = 0.
1/2, 1, 38
Let u be 312/(-4940)*19*(39/(-14) + (-2)/(-7)). Determine f, given that -24/5*f + 24/5*f**u - 28/5*f**2 + 2/5*f**4 + 26/5 = 0.
-13, -1, 1
Let o = -22/249 + 1231/5478. Let r(d) be the first derivative of -14/33*d**3 + o*d**4 - 7 + 2/11*d**2 + 0*d. What is q in r(q) = 0?
0, 1/3, 2
Let g = -235149 + 705461/3. Suppose -12*i**3 + 38/3*i**4 - 52/3*i**2 + g + 10*i + 2*i**5 = 0. Calculate i.
-7, -1, -1/3, 1
Let n(z) = -z**2 - 12*z + 17. Let k be n(-13). Suppose 3*l + 3*j = 21, 2*j = -k*l - 14 + 38. Factor 2/3*m + 0 - l*m**2 + 19/3*m**3 - 2*m**4.
-m*(m - 2)*(m - 1)*(6*m - 1)/3
Let k(c) be the third derivative of -c**6/24 - 7*c**5/12 + 85*c**4/3 - 320*c**3/3 + 966*c**2. Find m such that k(m) = 0.
-16, 1, 8
Let j(k) be the first derivative of -k**4/16 + 7*k**3/2 + 43*k**2/8 + 11565. Solve j(f) = 0.
-1, 0, 43
Suppose 2*w = -2*w + u + 19, 4*w - 15 = 5*u. Suppose 36*h - 2 - 27 + 9*h + 4 - w*h**3 - 15*h**2 = 0. Calculate h.
-5, 1
Let p(a) be the second derivative of -13*a + 1/285*a**6 - 28/19*a**3 + 36/19*a**2 - 7/95*a**5 + 0 + 61/114*a**4. Factor p(b).
2*(b - 6)**2*(b - 1)**2/19
Determine j so that 48/7*j + 0 + 3/7*j**3 + 3/7*j**5 - 18/7*j**4 + 72/7*j**2 = 0.
-1, 0, 4
Factor -130/3*m + 1/3*m**3 + 0 - m**2.
m*(m - 13)*(m + 10)/3
Let y(x) be the second derivative of 1/30*x**6 - 5/12*x**4 + 2*x**2 - 11 - 1/3*x**3 + 1/8*x**5 - 1/84*x**7 + 4*x. What is h in y(h) = 0?
-2, -1, 1, 2
Let l = 19023 + -95099/5. Factor 4/5*x**2 - l*x**3 + 2/5*x**4 - 30 + 32*x.
2*(x - 5)**2*(x - 1)*(x + 3)/5
Let g = -930 - -934. Suppose 0 = -g*w + 15*w - 22. Factor 3/2*m**w + 0*m + 3/2*m**5 - 3/2*m**4 + 0 - 3/2*m**3.
3*m**2*(m - 1)**2*(m + 1)/2
Let y = 6768 + -6765. Suppose 3/4*o**3 + 3/4*o + 9/2 - y*o**2 = 0. What is o?
-1, 2, 3
Let s(n) be the third derivative of -n**8/560 + n**7/35 - 13*n**6/200 - 7*n**5/25 + 7*n**4/10 + 16*n**3/5 - n**2 + 307. Suppose s(x) = 0. Calculate x.
-1, 2, 8
Let j(g) be the second derivative of -1/2*g**5 - 1/6*g**6 + 0 + 5/4*g**4 + 10*g**2 + 3*g + 20/3*g**3. Factor j(i).
-5*(i - 2)*(i + 1)**2*(i + 2)
Let f be -14*(-4)/(-7)*(-4)/8. Suppose f*c - 12 = n, c - 5*n - 6 = -4*n. Factor -8/11*o - 6/11 - 2/11*o**c.
-2*(o + 1)*(o + 3)/11
Let t(p) be the first derivative of -p**4/3 + 1164*p**3 - 1524258*p**2 + 887118156*p + 1356. Determine v so that t(v) = 0.
873
Let 60/11*j + 6*j**2 + 6/11*j**3 + 0 = 0. What is j?
-10, -1, 0
Let s(u) = -9*u**2 - 70*u + 27. Let m(d) = -8*d**2 - 70*d + 26. Let f(v) = -v + 8. Let w be f(5). Let t(h) = w*m(h) - 2*s(h). Find a such that t(a) = 0.
-12, 1/3
Suppose 11*w - 10*w = -4*u - 4, -2*w - 3*u - 28 = 0. Let y = -18 - w. Factor 0 - 2/17*q**y + 10/17*q.
-2*q*(q - 5)/17
Determine h, given that 6*h + 375*h**4 + 377*h**4 + 7*h**3 + 17*h**2 + 6 + 13*h - 751*h**4 - 2*h = 0.
-3, -2, -1
Find d, given that 476/3*d + 0 - 2/3*d**2 = 0.
0, 238
Let u(n) = 157*n + 2830. Let t be u(-18). Let o(z) be the second derivative of 0 + 15*z - t*z**2 + 1/3*z**4 + 2/3*z**3. Suppose o(q) = 0. Calculate q.
-2, 1
Let u(d) be the second derivative of d**4/18 + 14*d**3/9 - 80*d**2 + 128*d - 10. Factor u(n).
2*(n - 10)*(n + 24)/3
Let k = -245082 - -245082. Factor -1/6*u**4 + 0 + 1/6*u**5 - 1/2*u**2 - 5/6*u**3 + k*u.
u**2*(u - 3)*(u + 1)**2/6
Let x(k) be the second derivative of -k**4/66 + 5972*k**3/33 - 8916196*k**2/11 + 8572*k. Let x(v) = 0. Calculate v.
2986
Let x(k) be the second derivative of k**4/4 + 85*k**3 + 816*k. Factor x(y).
3*y*(y + 170)
Let j(c) be the first derivative of -6*c**5/35 - 33*c**4/7 - 176*c**3/7 + 738*c**2/7 - 810*c/7 - 2974. Let j(y) = 0. What is y?
-15, -9, 1
Let s(k) = -10*k**3 + 10*k - 10. Suppose -3*h + h + 16 = 0. Let f(g) = -8 - 5 - h*g**3 + 10*g - g**2 + 2 - 2*g**3. Let u(y) = 5*f(y) - 6*s(y). Factor u(i).
5*(i - 1)*(i + 1)*(2*i - 1)
Let n(o) be the second derivative of 0 + 49*o + 0*o**2 + 29/42*o**3 + 1/84*o**4. Suppose n(d) = 0. What is d?
-29, 0
Let j(u) be the second derivative of 0 - 11/2*u**2 + 1/12*u**4 + 10*u + 0*u**3 + 1/60*u**5. Let r(c) be the first derivative of j(c). Solve r(k) = 0.
-2, 0
Let g(d) be the third derivative of -4/5*d**4 + 16/5*d**3 + 32*d**2 + 1/10*d**5 + 0 - 1/200*d**6 + 0*d. Determine c, given that g(c) = 0.
2, 4
Let d = 10536 - 10536. Let c(v) be the second derivative of 0 + 5/3*v**3 - 9*v + 5/4*v**4 + 1/4*v**5 + d*v**2. Factor c(x).
5*x*(x + 1)*(x + 2)
Let l = 330 + -312. Suppose -20*u = l*u - 114. Find q, given that -14/19*q**u + 12/19*q**2 - 6/19*q**4 + 0*q + 0 = 0.
-3, 0, 2/3
Let i(k) = -19*k**3 + 31*k**2 + 36*k - 35. Let d(h) = 3*h**3 - 5*h**2 - 6*h + 6. Let w be 10/(-45) - 353/(-9). Let y(l) = w*d(l) + 6*i(l). Factor y(f).
3*(f - 4)*(f - 1)*(f + 2)
Suppose -4*b + 0*i = 4*i - 68, 4*b - i - 53 = 0. Let y be (-5)/(90/(-93)) - b/21. Factor y - 3*q + 1/2*q**2.
(q - 3)**2/2
Suppose 0 = 11*c + 15*c. Let j(a) be the second derivative of 12*a - 3/25*a**5 + 0*a**2 - 1/5*a**4 + c - 2/75*a**6 - 2/15*a**3. Factor j(t).
-4*t*(t + 1)**3/5
Let u(p) be the first derivative of -p**3/6 + 585*p**2/4 - 292*p - 2614. Find f, given that u(f) = 0.
1, 584
Let k(n) be the second derivative of n**4/12 + 73*n**3/6 - 37*n**2 + 1995*n. Find t such that k(t) = 0.
-74, 1
Suppose 4*v**2 - 4116*v + 3*v**4 + 63*v**3 + 9*v**2 - 13*v**2 + 0*v**2 = 0. What is v?
-14, 0, 7
Let i be ((-12)/2