+ (-14)/(-35). Let m be (-20)/15 + b/21. Suppose -33/7*v**3 + 0*v + 0 - 15/7*v**2 - m*v**4 = 0. What is v?
-5, -1/2, 0
Let r be (5/(-2))/(12/(-24)). Suppose -r*p = -5*i, -4*p = 4*i - 2*p - 24. Suppose -40/9*m**i + 0*m - 14/3*m**5 + 2/3*m**3 + 4/9*m**2 + 0 = 0. Calculate m.
-1, -2/7, 0, 1/3
Let k(l) be the first derivative of 126 + 7/2*l**2 - 6*l + 7*l**3 + 2*l**4. Factor k(d).
(d + 1)*(d + 2)*(8*d - 3)
Suppose 0*w + w - 2 = 3*m, -3*m = 3*w - 18. Let n be -3 + 3 - (-5)/m. Let 2*q**2 - 2*q**4 + q**3 + 151*q**n - 75*q**5 - 77*q**5 = 0. Calculate q.
-2, -1, 0, 1
Let l(m) be the third derivative of m**5/30 + 643*m**4/6 + 413449*m**3/3 + 220*m**2 + 5. Let l(c) = 0. Calculate c.
-643
Factor k**4 - 7*k**3 - 73*k**3 - 154*k**3 + k**4 + 69*k**2 - 305*k**2.
2*k**2*(k - 118)*(k + 1)
Let j(n) be the second derivative of 8/17*n**2 + 0 - 1/102*n**4 - 34*n + 2/51*n**3. Factor j(i).
-2*(i - 4)*(i + 2)/17
Let t be (-32)/6 - (-6)/(-9). Let z(b) = -4*b - 20. Let f be z(t). Find r such that -2*r + 12*r**4 - 19*r**4 + 6*r**f + 3*r**2 = 0.
-2, 0, 1
Suppose -x - 5*p = -0*p + 123, p = 5*x + 485. Let g be 1/3 + x/(-84). Find s such that -g*s + 3/4*s**2 + 0 + 3/4*s**3 = 0.
-2, 0, 1
Let v = -300239/18 + 33375/2. Suppose v*i + 2/9*i**2 + 22/3 = 0. Calculate i.
-33, -1
Let t(q) = q + 8. Let o be t(4). Suppose -j = -2*j + o. Find z, given that 0 - 26*z**4 - 5 - 3 + 6*z**4 + 28*z**2 - 12*z + j*z**3 = 0.
-1, -2/5, 1
Let w(n) = -20*n**2 + 20205*n - 5120720. Let r(l) = -5*l**2 + 5051*l - 1280180. Let x(a) = 35*r(a) - 9*w(a). Suppose x(u) = 0. Calculate u.
506
Let n(y) = 3*y**2 - 3*y + 12. Suppose -3*x - 13 = -4. Let j(d) = 17 - 876*d + 2*d**2 + 288*d + 294*d + 292*d - 5. Let t(q) = x*n(q) + 4*j(q). Factor t(c).
-(c - 4)*(c + 3)
Let p = -33/8 - -247/56. Let l be (-6)/9*(26/(-14) - -2)*(-78 - -75). Let -l + 6/7*q - 6/7*q**2 + p*q**3 = 0. Calculate q.
1
Let q = 339288 - 1696431/5. Factor -1/5*z**4 + 11/5*z + q*z**3 + 0 + 21/5*z**2.
-z*(z - 11)*(z + 1)**2/5
Let m(v) be the first derivative of v**4/2 + 2*v**3/3 - 2*v - 24. Let k be m(1). Factor -g**3 + 650*g - 654*g - k*g**4 - g**4 + 8*g**2.
-g*(g - 1)*(g + 2)*(3*g - 2)
Let z = 28848 + -57695/2. Factor 0 + 4*f**2 + z*f**3 - 9/2*f.
f*(f - 1)*(f + 9)/2
Let h = 3742346/5 - 748465. Let -h + 4*p + 1/5*p**2 = 0. What is p?
-21, 1
Let p be ((-575)/(-690))/(1/6). Suppose 3*f + 22 + 5 = 4*a, 3*a - 4*f - 29 = 0. Factor 4 + 6*d**2 + 0*d**a - 2*d + p*d - 10 - 3*d**3.
-3*(d - 2)*(d - 1)*(d + 1)
Let u(g) be the second derivative of 5*g**5/4 - 395*g**4/3 + 105*g**3/2 - 5941*g. Factor u(o).
5*o*(o - 63)*(5*o - 1)
Let m(n) = 3*n**3 - 58*n**2 - 142*n + 39. Let l(t) = -t**3 + 2*t + 1. Let r(y) = -18*l(y) - 2*m(y). Let r(u) = 0. What is u?
-6, -4, 1/3
Suppose 4*u = -25 + 29, -4*k - u + 1 = 0. Suppose k - 2*i**4 + 71/2*i**2 + 9*i + 34*i**3 = 0. What is i?
-1/2, 0, 18
Let i(q) = -26*q - 11. Let d be i(-4). Let p(k) = k**2 - 9*k + 16. Let o be p(2). Factor 2*l**4 + 7*l**3 - 23*l**3 - 49*l**2 + 18 - 48*l + d*l**o.
2*(l - 3)**2*(l - 1)**2
Let a(x) be the second derivative of 9*x**6/50 - 291*x**5/100 + 79*x**4/10 + 164*x**3/5 + 96*x**2/5 - 222*x. Find p, given that a(p) = 0.
-1, -2/9, 4, 8
Factor 140/3 + 55/3*y - 25/6*y**2 - 5/6*y**3.
-5*(y - 4)*(y + 2)*(y + 7)/6
Let s = 306444 + -306442. Solve -4/3*z**s + 16/3*z**3 - 4/3*z**4 - 8*z + 0 = 0 for z.
-1, 0, 2, 3
Let -172199*b**2 - 8*b**4 - 1417*b**3 - 236*b**4 - 3011*b**3 + 151787*b**2 - 4*b**5 = 0. Calculate b.
-27, -7, 0
Let p(w) be the third derivative of w**6/220 + w**5/15 + 5*w**4/33 - 8*w**3/11 - 809*w**2. What is m in p(m) = 0?
-6, -2, 2/3
Suppose 10*f - 81 + 11 = 0. Factor -s**3 + 33*s + f*s - 13*s**2 - 34 + s**3 - 2 + s**3.
(s - 9)*(s - 2)**2
Factor -1/5*n**3 - 18*n**2 - 2112/5*n - 3872/5.
-(n + 2)*(n + 44)**2/5
Let k(n) be the third derivative of 121*n**8/280 - 869*n**7/525 + 41*n**6/50 + 16*n**5/25 - 8*n**4/15 + 5*n**2 + 53*n. Suppose k(a) = 0. Calculate a.
-1/3, 0, 4/11, 2
Let n be (-9)/14*30856/(-6612). Factor 13/3*t**2 + 1/3*t**n + 32/3*t + 20/3.
(t + 1)*(t + 2)*(t + 10)/3
Let s(o) be the first derivative of 17*o**4/12 + 440*o**3/9 - 26*o**2/3 + 1693. Factor s(l).
l*(l + 26)*(17*l - 2)/3
Let f(t) be the third derivative of 0 + 18*t**2 - 9/16*t**4 + 0*t**3 + 0*t + 1/20*t**5 - 1/720*t**6. Determine d, given that f(d) = 0.
0, 9
Let l be -5 - 0 - (664/360*-6 + 5). Let o(u) be the first derivative of -1/15*u**6 + 1/5*u**4 - 9 + 7/5*u**2 - l*u**3 - 4/5*u + 4/25*u**5. Solve o(g) = 0.
-2, 1
Suppose -4701 = 6*b + 939. Let a = 6592/7 + b. Factor a*l**3 - 20/7*l - 16/7*l**2 + 8/7.
4*(l - 2)*(l + 1)*(3*l - 1)/7
Let u(n) be the third derivative of -33*n**2 + 5/12*n**5 - 5/4*n**4 - 1/42*n**7 + 0 + 1/12*n**6 + 0*n + 0*n**3. Solve u(c) = 0 for c.
-2, 0, 1, 3
Let y(p) = -p**3 - 8*p**2 + 21*p + 19. Let c be y(-10). Suppose 116*t**4 + c - t**3 + 5*t**3 - 115*t**4 - 12*t - 2*t**2 = 0. Calculate t.
-3, 1
Factor 0 + 2/13*w**3 + 688/13*w**2 + 59168/13*w.
2*w*(w + 172)**2/13
Suppose -69*n + 75*n = 90. Factor -85 + 2026*p**2 - 2021*p**2 - 40*p - n.
5*(p - 10)*(p + 2)
Factor 1/2*n + 0 - 5/4*n**4 + 9/4*n**3 - 7/4*n**2 + 1/4*n**5.
n*(n - 2)*(n - 1)**3/4
Let w(l) be the first derivative of -l**4 - 52*l**3/3 + 338*l**2 + 8788*l + 1833. Suppose w(g) = 0. Calculate g.
-13, 13
Let y(s) be the third derivative of -s**6/80 - s**5/30 + 5*s**4/48 + s**3/6 + 1636*s**2. Suppose y(u) = 0. Calculate u.
-2, -1/3, 1
Solve 250*w**3 + 61*w**3 + 12694 - 112*w**3 + 231*w**3 - 430*w - 5*w**4 - 3449 - 9240*w**2 = 0.
-1, 1, 43
Let g(x) be the second derivative of 7*x**5/40 - 19*x**4/3 + 59*x**3/3 + 20*x**2 + 472*x. What is t in g(t) = 0?
-2/7, 2, 20
Let l(m) be the third derivative of m**8/70560 - m**7/2205 - m**6/280 + 31*m**5/12 - 55*m**2. Let a(h) be the third derivative of l(h). Factor a(v).
2*(v - 9)*(v + 1)/7
Suppose -2*h - 2*n = -4306, 4*h - 6019 - 2591 = -5*n. Solve -1073 + h - 4*y**2 - 2*y - 1082 = 0 for y.
-1/2, 0
Suppose -30 + 246*j + 108*j**2 - 43*j**2 - 281*j = 0. What is j?
-6/13, 1
Let m(k) be the second derivative of k**5/30 - 71*k**4/9 - 9*k + 9. Factor m(h).
2*h**2*(h - 142)/3
Let r(f) be the first derivative of 38/55*f**5 - 21/11*f**4 - 8/11*f**2 - 1/11*f**6 + 24/11*f**3 + 0*f - 29. Factor r(w).
-2*w*(w - 2)**3*(3*w - 1)/11
Let m = 207 - 204. Factor 37*s**m - 113*s**2 + 125*s**2 - 3*s**4 + 6*s - 9 - 43*s**3.
-3*(s - 1)**2*(s + 1)*(s + 3)
Suppose -33*x + 35 = -31. Let b be ((-16)/(-12) + -1)*(x + 4). Determine m, given that -3/2*m**5 + 6*m**b + 6*m**4 + 0 - 3/2*m - 9*m**3 = 0.
0, 1
Suppose -294366*p**4 + 147190*p**4 + 147180*p**4 + 8*p**3 - 4*p**5 = 0. What is p?
-1, 0, 2
Let c(h) be the first derivative of h**6/10 - 6*h**5/5 + 3*h**4/2 + 4*h**3 - 21*h**2/2 + 122*h - 101. Let o(a) be the first derivative of c(a). Factor o(r).
3*(r - 7)*(r - 1)**2*(r + 1)
Let d(f) be the third derivative of -17/4*f**4 - 289*f**3 + 0*f - 65*f**2 - 1/40*f**5 + 0. Suppose d(k) = 0. Calculate k.
-34
Let b = 19413 - 19409. Let p(s) be the second derivative of 0 - 5/24*s**3 - 19/80*s**5 - 8*s - 3/8*s**2 + 1/30*s**6 + 23/48*s**b. Factor p(a).
(a - 3)*(a - 1)**2*(4*a + 1)/4
Let p(k) be the third derivative of 11/36*k**4 + 0*k - 7/180*k**6 - 11/90*k**5 - 1/126*k**8 + 13/315*k**7 - 2/9*k**3 + 0 - 62*k**2. Solve p(a) = 0.
-1, 1/4, 1, 2
Factor -1/8*x**5 + 61/8*x**2 - 5/2*x - 63/8*x**3 + 23/8*x**4 + 0.
-x*(x - 20)*(x - 1)**3/8
Let w(y) be the first derivative of -3/2*y**2 - 58 + 3/4*y**4 - y**3 + 3*y. Determine a so that w(a) = 0.
-1, 1
Let s(v) = -v**2 - 163*v - 1514. Let l be s(-10). Let f(m) be the first derivative of 0*m**4 + 3/4*m**2 - l - 1/4*m**6 + 3/5*m**5 + 0*m - m**3. Factor f(w).
-3*w*(w - 1)**3*(w + 1)/2
Let o(f) be the second derivative of -f**4/24 + 5*f**3/4 + 19*f**2 + 8175*f. Find g, given that o(g) = 0.
-4, 19
Suppose -5*y + 2 = f, -f + 2*y = y - 20. Suppose -f*i - 10 = -44. Factor -i*r - 5 + 18*r - 4*r**2 + 21 - 4*r**3.
-4*(r - 2)*(r + 1)*(r + 2)
Factor 116162*x - 27995042/3 - 482*x**2 + 2/3*x**3.
2*(x - 241)**3/3
Let d(w) = -6*w**2 - 8*w + 7. Let l be d(-10). Let o be -4*1*(l + 4/2). Suppose o + 5*h**3 - 2044 = 0. Calculate h.
0
Let t(h) be the third derivative of 0*h + 1/160*h**6 - 2/15*h**5 + 14*h**2 - 11/96*h**4 + 0*h**3 - 3. Factor t(a).
a*(a - 11)*(3*a + 1)/4
Suppose 2*m + 5*z - 30 = 0, 4 + 42 = 5*m - 2*z. Factor p**3 - m*p**5 + p