/13*p**3 + 0.
2*p*(p - 1)*(p + 2)/13
Let m(z) be the third derivative of -z**7/945 + 3*z**6/10 + z**5/270 - 3*z**4/2 - 12852*z**2. Solve m(f) = 0.
-1, 0, 1, 162
Let y(j) be the first derivative of -2*j**3/3 + 15*j**2 + 32*j + 136. Find s, given that y(s) = 0.
-1, 16
Let y(q) be the third derivative of -q**5/5 + 79*q**4/3 + 106*q**3/3 + 900*q**2. Factor y(a).
-4*(a - 53)*(3*a + 1)
Let m(g) be the second derivative of -g**5/50 + 9*g**4/10 + 58*g**3/15 + 1714*g. Factor m(i).
-2*i*(i - 29)*(i + 2)/5
Let q(o) be the second derivative of -3*o**5/25 - 37*o**4/20 + 25*o**3/2 - 126*o**2/5 + 1705*o. Let q(b) = 0. What is b?
-12, 1, 7/4
Determine o so that 217*o**2 + 180 + 3*o**5 - 249*o + 257*o**2 + 246*o**3 - 72*o**4 + 294*o**2 - 876*o**2 = 0.
-1, 1, 3, 20
Let j(r) = -596*r**2 + 5076*r - 28424. Let f(u) = -93*u**2 + 781*u - 4373. Let p(h) = 32*f(h) - 5*j(h). Factor p(o).
4*(o - 91)*(o - 6)
Let w(p) be the first derivative of -p**6/3 + 154*p**5/5 - 974*p**4 + 30784*p**3/3 + 21632*p**2 - 70304*p - 6985. Determine b, given that w(b) = 0.
-2, 1, 26
Suppose -12/7*x**2 - 2*x**3 + 12/7*x**4 - 2/7*x**5 + 0 + 16/7*x = 0. Calculate x.
-1, 0, 1, 2, 4
Suppose -50 = 14*v - 19*v. Let o(l) = -l + 14. Let r be o(v). Factor -8 - r*h**2 - 48*h + 19*h + 17*h.
-4*(h + 1)*(h + 2)
Let y(b) be the second derivative of -62*b - 1/22*b**4 + 2/33*b**3 + 1/55*b**6 - 1/110*b**5 + 0*b**2 + 0 - 1/231*b**7. What is v in y(v) = 0?
-1, 0, 1, 2
Let s(z) = 8*z**2 - 3586*z + 640823. Let n(c) = 7*c**2 - 3584*c + 640822. Let g(r) = 3*n(r) - 2*s(r). Factor g(a).
5*(a - 358)**2
Let t = 67/351 - 1/27. Let h = 4163 - 4158. Factor -2/13*w**4 + 2/13*w - 4/13*w**3 + 4/13*w**2 - 2/13 + t*w**h.
2*(w - 1)**3*(w + 1)**2/13
Let r(w) be the second derivative of -9/20*w**5 + 1/14*w**7 + 29/4*w**4 + 0*w**2 - 9*w**3 - 5*w + 0 - 9/10*w**6. Find x, given that r(x) = 0.
-2, 0, 1, 9
Let w(v) be the first derivative of v**9/16632 - v**7/2310 + v**5/660 + v**3/3 + v - 14. Let y(s) be the third derivative of w(s). Let y(u) = 0. Calculate u.
-1, 0, 1
Let f(v) be the second derivative of v**6/135 + 23*v**5/270 + 5*v**4/18 - v**3/3 + 36*v**2 + 2*v + 12. Let h(l) be the first derivative of f(l). Factor h(p).
2*(p + 3)**2*(4*p - 1)/9
Let f(r) = r**3 + 26*r**2 - 36*r - 32. Let o be f(-28). Let l = o + 6522/11. Solve -l*w + 6/11*w**2 - 4/11 = 0 for w.
-1/3, 2
Let x = -3058 + 3062. Let z(b) be the third derivative of -1/4*b**3 + 1/8*b**x + 3/320*b**6 + 0*b + 10*b**2 + 0 + 11/160*b**5. Factor z(k).
3*(k + 2)**2*(3*k - 1)/8
Let f = 366 + -360. Let i(w) be the third derivative of 0*w**3 - 3/10*w**5 - 6*w**2 - 1/7*w**7 + 3/10*w**f + 3/112*w**8 + 0*w + 1/8*w**4 + 0. Factor i(s).
3*s*(s - 1)**3*(3*s - 1)
Suppose 3*a = 121 + 485. Let r = -129 + a. Factor -5*o**2 - 2*o**3 + 78*o + 5*o**4 - r*o - 3*o**3.
5*o*(o - 1)**2*(o + 1)
Let t(d) = 15*d - 92 + 237 - 51. Let r be t(-6). Let 0*g + 1/9*g**r + 0 + 2/9*g**3 - 1/3*g**2 = 0. Calculate g.
-3, 0, 1
Let q(o) be the second derivative of -1/9*o**3 + 67*o + 1/54*o**4 + 0 + 0*o**2. Find a, given that q(a) = 0.
0, 3
Let g(d) = 17*d + 21. Let i be g(2). Factor v**3 - i*v**2 - 26 + 18 - 4 - 113*v + 0*v**3 - 45.
(v - 57)*(v + 1)**2
Let i = -2077 + 6256/3. Let h(o) be the third derivative of 1/30*o**5 + 0*o + 0 - 15*o**2 - 5/6*o**4 + i*o**3. Factor h(a).
2*(a - 5)**2
Let h(a) be the second derivative of 0 - 70*a**2 + 5/2*a**3 + 5/12*a**4 + 68*a. Factor h(t).
5*(t - 4)*(t + 7)
Let a(p) be the first derivative of 1/6*p**6 + 0*p - 18*p**2 + 9/5*p**5 + 23/4*p**4 - 75 + p**3. Determine v, given that a(v) = 0.
-4, -3, 0, 1
Let z(v) be the third derivative of -v**7/70 - 11*v**6/40 + 13*v**5/10 + 99*v**4/2 + 180*v**3 + v**2 - 3313. Find q such that z(q) = 0.
-10, -6, -1, 6
Let v = 32 + -30. Suppose v = 19*y - 18*y. Factor -3*w**y + 2*w**4 + 5*w**4 - 4*w**4.
3*w**2*(w - 1)*(w + 1)
Let i(r) be the first derivative of 4*r**5/5 + 116*r**4 - 4*r**3/3 - 232*r**2 - 2329. Find j such that i(j) = 0.
-116, -1, 0, 1
Let m(u) be the third derivative of u**5/60 + 49*u**4/4 + 293*u**3/6 - 579*u**2. Factor m(l).
(l + 1)*(l + 293)
Let u(w) be the first derivative of -2/39*w**3 + 0*w + 1/26*w**4 - 91 + 2/65*w**5 - 1/13*w**2. Factor u(j).
2*j*(j - 1)*(j + 1)**2/13
Let p be (32/18)/4 + 4180/13680. Factor 0 - 3/4*c**4 - p*c**3 + 0*c + 0*c**2.
-3*c**3*(c + 1)/4
Let m(h) = -5*h**3 - 616*h**2 + 3670*h - 5443. Let w(t) = 3*t**3 + 308*t**2 - 1837*t + 2722. Let d(l) = 4*m(l) + 7*w(l). Let d(x) = 0. Calculate x.
3, 302
Let h = 127 + -125. Find s, given that 9*s - 15*s - 3*s**h + 15 - 5 + 14 = 0.
-4, 2
Suppose 20*m = 474 - 114. Let a be m/(-27) - 14/(-3) - 4. Find j such that -3/4*j**5 + a - 15/4*j**2 + 3/2*j + 3/4*j**4 + 9/4*j**3 = 0.
-2, 0, 1
Let w(v) be the second derivative of v**4/72 - v**3/2 + 15*v**2/4 + 2*v + 618. Factor w(b).
(b - 15)*(b - 3)/6
Let b(a) be the third derivative of -4*a - 1/24*a**3 + 0 + 1/480*a**6 - 1/80*a**5 + a**2 + 1/32*a**4. Factor b(g).
(g - 1)**3/4
Let t = 341 - 303. Let z be t + -43 + (-47)/7*-1. Find c, given that 12/7*c + 4/7*c**3 - 4/7 - z*c**2 = 0.
1
Let u(n) be the first derivative of 14 - 1/2*n**3 + 0*n - 57/4*n**2. Let u(t) = 0. Calculate t.
-19, 0
Let d(w) be the second derivative of w**5/60 - 11*w**4/36 + 7*w**3/9 + 40*w**2/3 - 60*w - 43. Factor d(u).
(u - 8)*(u - 5)*(u + 2)/3
Let -24*i + 9/5*i**2 - 84/5 - 3/5*i**4 + 42/5*i**3 = 0. Calculate i.
-1, 2, 14
Suppose -44*a**4 + 161*a**4 + 90*a**4 + 3*a**5 = 0. Calculate a.
-69, 0
Let o(n) be the third derivative of -n**5/12 + 125*n**4/3 + 1010*n**3/3 - 3067*n**2. Determine c so that o(c) = 0.
-2, 202
Let x(i) = -i**2 - 15*i - 32. Let q be x(-12). Let -25*t**3 + 55*t**2 - 5*t**5 - 20*t**q + 58*t**2 - 123*t**2 = 0. What is t?
-2, -1, 0
Suppose 170*s - 695 = 31*s. Let w(g) be the second derivative of 28/3*g**s + 8/3*g**2 - 17/3*g**4 + 16*g - 8/3*g**3 + 0. Find a such that w(a) = 0.
-2/7, 1/4, 2/5
Let z = 0 - -2. Let t be -2 + 11 + (-2)/9*(-26 + 64). Factor -1/3 + 1/9*u**3 - t*u**z + 7/9*u.
(u - 3)*(u - 1)**2/9
Find c such that 848/7*c - 1704/7 + 2/7*c**2 = 0.
-426, 2
Let p(z) be the second derivative of -2 - 3/10*z**6 - 3*z**3 + 0*z**2 + 5/4*z**4 + 6/5*z**5 + 11*z. Factor p(f).
-3*f*(f - 3)*(f + 1)*(3*f - 2)
Let u be (-3)/(-9) - (-8)/3. Suppose 4*a - 9*a + l + 6 = 0, -5*a + 22 = u*l. Factor 191*r**a - 2*r**3 - 96*r**2 - 93*r**2.
-2*r**2*(r - 1)
Let o be (-97)/3783 - 1526/(-2730). Determine x so that -o*x + 8/3 - 4/15*x**3 - 2*x**2 + 2/15*x**4 = 0.
-2, 1, 5
Suppose -f = -3*a - 7, -37*f + 39*f - 2*a - 10 = 0. Let y(w) be the third derivative of -34*w**2 + 0 + 1/18*w**f + 0*w**3 + 0*w - 1/270*w**5. Factor y(d).
-2*d*(d - 6)/9
Let d(b) = 2*b**2 - 7*b - 60. Let l be d(13). Factor -8*h - 8*h - 93*h**3 - 90*h**3 + l*h**3.
4*h*(h - 2)*(h + 2)
Let c(t) be the third derivative of t**7/180 - 107*t**6/72 + 1513*t**5/10 - 51153*t**4/8 - 14739*t**3/4 - 246*t**2. Factor c(d).
(d - 51)**3*(7*d + 1)/6
Let j(c) be the third derivative of 29*c**2 + 0 + 2/105*c**5 - 64/7*c**3 + 4*c - 16/21*c**4 + 1/210*c**6. Find h, given that j(h) = 0.
-4, 6
Let l(w) be the first derivative of 1/20*w**4 - 4/5*w**2 + 146 - 1/15*w**3 + 12/5*w. Factor l(h).
(h - 2)**2*(h + 3)/5
Suppose 0 = -2*m + 5*o + 9, 39 = -m + 2*o + 45. Suppose -7*g + g = -m. Factor -2/3*b**3 + 10/3*b + 2/3*b**4 - 4/3 - g*b**2.
2*(b - 1)**3*(b + 2)/3
Let c = -91 - -93. Suppose 72 + 2*l**c + 22*l - 7*l + 9*l = 0. What is l?
-6
Suppose -29*r + 23*r = -18. Suppose 0 = -c - 4*f - 10, -4*c + 1 = r*f + 2. Suppose 8/7*u**4 - 40/7*u**3 - 16/7*u**c + 20/7*u**5 + 20/7*u + 8/7 = 0. What is u?
-1, -2/5, 1
Let d = -7 + 11. Suppose -3*n = 4*r - 5*r - 11, 5*n + 4*r = 41. Factor -7*z**3 + 2*z + 8*z**2 + 6*z + n*z**3 - 2*z**d.
-2*z*(z - 2)*(z + 1)*(z + 2)
Let d(v) be the third derivative of -v**8/16800 + v**7/630 - v**6/75 + v**4/6 + 20*v**3/3 - 16*v**2 + v. Let l(c) be the second derivative of d(c). Factor l(u).
-2*u*(u - 6)*(u - 4)/5
Let z = 7719925/13 - 593839. Factor -2/13*j**2 - 28/13 - z*j.
-2*(j + 2)*(j + 7)/13
Let r be 9*48/(-108) - -6. Suppose -4 + 14 = p. Factor -15/2*c**r - 5*c**3 + 10*c + p + 5/2*c**4.
5*(c - 2)**2*(c + 1)**2/2
Let o = 2 + 0. Let s(p) = 16*p**4 + 4*p**3 - 2*p**2 + 2*p. Let q(m) = 63*m**4 + 16*m**3 - 9*m**2 + 9*m. Let r(n) = o*q(n) - 9*s(n). Factor r(i).
-2*i**3*(9*i + 2)
Let a = 250918 + -250862