- q*d**3 + 22/3*d**4 + 0*d**2 - 6*d**5 + 0.
-2*d**3*(d - 1)*(9*d - 2)/3
Let l be (1 + -18 - -14)*2/12*-6. Let p(y) be the first derivative of -19 - 9/16*y**4 + 9/8*y**2 - 1/6*y**l + 1/2*y. Solve p(t) = 0.
-1, -2/9, 1
Let g = -41 + 36. Let s(v) = -14*v - 68. Let z be s(g). Suppose -4/7*p**4 - 16/7*p + 16/7*p**3 + 12/7 - 8/7*p**z = 0. Calculate p.
-1, 1, 3
Let h = 37 - 34. Suppose -3*j - 3*i + 4*i + 13 = 0, j - 7 = h*i. Factor -j*a**3 + a - 8 - 2*a**3 + 3*a + 2*a**3 + 8*a**2.
-4*(a - 2)*(a - 1)*(a + 1)
Let r be ((-340)/150)/(391/(-460)). Let v(j) = j**3 + 5*j**2 + 4*j + 4. Let p be v(-4). Factor 2*s**2 + 4/3*s**3 - r*s - 2/3*s**p - 8/3.
-2*(s - 2)**2*(s + 1)**2/3
Let z = 29547 - 29544. Let g(o) be the third derivative of -15*o**2 - 1/78*o**4 + 1/390*o**5 + 1/39*o**z + 0*o + 0. Find s such that g(s) = 0.
1
Let a(h) = -102*h**3 + 4650*h**2 + 28791*h + 43524. Let g(o) = 15*o**3 - 664*o**2 - 4113*o - 6218. Let b(c) = 4*a(c) + 27*g(c). Determine u so that b(u) = 0.
-3, 230
Let i(b) = -25*b**3 + 6*b**2 - 14*b + 45. Let t(s) = 54*s**3 - 11*s**2 + 28*s - 92. Let m(y) = 13*i(y) + 6*t(y). Let g be m(11). Factor 4/7*l + g - 2/7*l**2.
-2*l*(l - 2)/7
Let n(i) be the second derivative of 11*i**6/90 - 101*i**5/30 + 2*i**4 - 1191*i. Suppose n(h) = 0. Calculate h.
0, 4/11, 18
Let u(v) be the third derivative of -v**8/112 - v**7/10 - 11*v**6/40 + 7*v**5/20 + 3*v**4/2 + 177*v**2 + 1. Let u(t) = 0. What is t?
-4, -3, -1, 0, 1
Let y(n) = -8*n**3 - 112*n**2 - 3994*n - 3890. Let r(i) = -2*i**3 - 38*i**2 - 1333*i - 1297. Let h(u) = -10*r(u) + 3*y(u). Determine p so that h(p) = 0.
-13, -1, 25
Let f = -135 + 149. Suppose 3*o + 2*h - 3 = 0, -17 + f = 3*o + 4*h. Factor n**2 + 1/3*n**4 - 4/3 + 5/3*n - 5/3*n**o.
(n - 4)*(n - 1)**2*(n + 1)/3
Factor 2/7*o**3 + 72/7 - 34/7*o**2 - 40/7*o.
2*(o - 18)*(o - 1)*(o + 2)/7
Suppose -22*u = -24*u - 12. Let w be -1 - u/(-4)*128/(-12). What is m in 41*m**4 - 2 - 8*m**2 + w*m - 15*m**2 + 36*m**4 - 24*m**3 - 61*m**4 = 0?
-1, 1/4, 2
Let u(a) be the second derivative of 0 + 0*a**3 + 0*a**2 + 1/5*a**5 - 3/10*a**4 - 29*a - 1/75*a**6. Determine l so that u(l) = 0.
0, 1, 9
Let g(u) be the second derivative of -u**8/1120 - u**7/280 - u**6/240 - u**3 - 29*u - 1. Let t(h) be the second derivative of g(h). Find s, given that t(s) = 0.
-1, 0
Let y(b) = 5*b**2 - 3*b - 7*b**2 - 2 + 17*b**2 + 4*b. Let h be y(2). Suppose -h*w + 86*w**4 + 9 - 130*w**3 - 47*w**3 + 158*w**2 - 1 - 15*w**5 = 0. What is w?
1/3, 2/5, 1, 2
Factor -196/3 + 224/3*o - 29/3*o**2 + 1/3*o**3.
(o - 14)**2*(o - 1)/3
Let v be 12/9*(-6)/(-96)*(-11 - -15). Let i(w) be the second derivative of -v*w**3 + 0 + 1/12*w**4 + 0*w**2 - 33*w. Factor i(p).
p*(p - 2)
Let t(v) be the third derivative of -3*v**7/280 - 13*v**6/40 - 169*v**5/40 + 5*v**4/12 - v**2 - 13. Let c(w) be the second derivative of t(w). Factor c(a).
-3*(3*a + 13)**2
Determine h so that 10/7*h**3 - 12 + 8/7*h**2 - 86/7*h = 0.
-14/5, -1, 3
Let g be 4/12 + (-901)/(-3). Let o = g + -300. Let o*d**2 + 2/3*d + 0 = 0. Calculate d.
-1, 0
Let v(p) = -15*p**2 + 15*p. Let r(m) = -2*m**2 - 2*m. Let z(f) = 24*r(f) - 3*v(f). Factor z(w).
-3*w*(w + 31)
Let c = -146 + 149. Factor 497*t - 991*t + t**4 + 497*t + 2*t**4 - 3*t**3 - c*t**2.
3*t*(t - 1)**2*(t + 1)
Let z = -9 - -13. Let w(l) = 10*l**2 + 89*l - 4. Let r be w(-9). Let r*q**3 - 6*q**3 + 2*q**3 + 4*q**4 - 2*q**z + q**5 = 0. What is q?
-1, 0
Let r(y) be the third derivative of -2/105*y**7 + 0 - y**2 + 0*y**4 - 1/504*y**8 + 1/180*y**6 + 0*y**3 + 1/3*y**5 - 66*y. Determine x so that r(x) = 0.
-5, -3, 0, 2
Let k(i) be the third derivative of 0 + 0*i**3 - 13*i**2 - 1/315*i**7 + 1/90*i**6 + 1/90*i**5 + 0*i - 1/18*i**4. Let k(m) = 0. What is m?
-1, 0, 1, 2
Let j(d) be the second derivative of d**6/1080 + d**5/15 + 2*d**4 - 10*d**3/3 + 77*d. Let f(q) be the second derivative of j(q). Factor f(k).
(k + 12)**2/3
Let w = 7990 + -7981. Let f(h) be the third derivative of 1/18*h**5 - w*h**2 + 0*h**3 - 1/36*h**4 + 0*h + 0. Factor f(c).
2*c*(5*c - 1)/3
Let x(o) be the first derivative of o**4/28 + 3384*o**3/7 + 17177184*o**2/7 + 38751727104*o/7 + 4714. Determine w, given that x(w) = 0.
-3384
Let z = 3621558/13 - 279043. Let p = -461 - z. Let 6/13*t**4 + p*t**3 - 8/13*t - 2/13 - 4/13*t**2 = 0. What is t?
-1, -1/3, 1
Let k = 1189975/7 - 169996. Factor -3/7*y**3 - 9/7 - k*y**2 + 15/7*y.
-3*(y - 1)**2*(y + 3)/7
Let r(c) be the first derivative of 3*c**4/8 - 295*c**3/12 - 563*c**2/8 + 51*c/2 + 7432. Determine m so that r(m) = 0.
-2, 1/6, 51
Let h = 157799 + -157797. Let -18/11*p**h + 6/11 - 12/11*p = 0. What is p?
-1, 1/3
Let r(s) = 9*s**2 + 286*s + 4201. Let c be (4/10)/(40/400). Let u(x) = -26*x**2 - 859*x - 12604. Let b(i) = c*u(i) + 11*r(i). Suppose b(n) = 0. Calculate n.
-29
Suppose -155*b + 136*b - 19057 = 0. Let d = -1001 - b. Suppose 24/17 + 0*y**3 + 2/17*y**4 + 8/17*y - 18/17*y**d = 0. What is y?
-3, -1, 2
Factor -164 - 43*j - 1/2*j**2.
-(j + 4)*(j + 82)/2
Determine m, given that 11*m**3 - 269*m**2 - 403*m**2 + 1625*m + 25*m**3 + 2075*m - 5993 + 993 = 0.
2, 25/3
Let p(q) be the second derivative of q**6/240 - 13*q**4/96 + q**3/4 + 12*q - 27. Factor p(j).
j*(j - 3)*(j - 1)*(j + 4)/8
Suppose -37*f = -32*f - 3*v - 48, 36 = f - 3*v. What is a in 16/5*a**f + 0*a - 16/5*a**2 - 4/5*a**4 + 0 = 0?
0, 2
Let q(y) be the first derivative of -y**6/24 - 3*y**5/8 - 39*y**4/32 - 5*y**3/3 - 3*y**2/4 + 1270. Find f, given that q(f) = 0.
-3, -2, -1/2, 0
Suppose 93*r - 98*r = -4*n + 63, -5*n - 2*r - 12 = 0. Factor -8/9*h**n - 2/9*h**3 - 8/9*h + 0.
-2*h*(h + 2)**2/9
Let a = 7 - 4. Let q(g) be the first derivative of -4*g + a*g**3 - 65*g**3 + 30*g**2 - 1 - 11*g**3 - 2*g**3. Factor q(u).
-(15*u - 2)**2
Let c(z) be the second derivative of z**6/1140 - z**4/228 + 19*z**2/2 - 4*z - 2. Let g(s) be the first derivative of c(s). Factor g(w).
2*w*(w - 1)*(w + 1)/19
Let a(s) be the third derivative of -13*s**6/18 - 108*s**5/5 - 146*s**4/3 - 224*s**3/9 + 38*s**2 + 4*s. Find b such that a(b) = 0.
-14, -4/5, -2/13
Let g(n) = -7*n**2 - 466*n - 3. Let j(w) = -4*w**2 - 466*w - 2. Let v(k) = 2*g(k) - 3*j(k). Suppose v(x) = 0. What is x?
0, 233
Factor 5*i**4 - 131 + 291*i**3 + 86 + 45 + 29*i**3.
5*i**3*(i + 64)
Let u(y) be the third derivative of -y**7/280 + 7*y**6/40 - 41*y**5/16 + 153*y**4/16 + 43*y**2 - 21*y. Suppose u(m) = 0. What is m?
0, 2, 9, 17
Factor -1433*j**3 - 26*j**4 + 958 + 54*j**4 - 1408*j**2 - 509*j**2 + 477*j - 22*j**4 - 3*j**4.
(j - 479)*(j + 1)**2*(3*j - 2)
Let 0*r + 0 - 2/7*r**4 + 0*r**3 + 2/7*r**2 = 0. What is r?
-1, 0, 1
Factor 680/3*x**2 + 2/3*x**5 + 112/3 + 460/3*x**3 + 40*x**4 + 150*x.
2*(x + 1)**4*(x + 56)/3
Let v = -4964781/11 - -451345. Suppose -v*x**3 + 296/11*x - 96/11 + 144/11*x**2 = 0. Calculate x.
-2, 2/7, 12
Solve -90*w**2 + 63/2*w**3 + 0 - 1/2*w**4 + 0*w = 0.
0, 3, 60
Let i(c) be the second derivative of -c**7/21 - 7*c**6/15 - 8*c**5/5 - 2*c**4 + 2038*c. Let i(g) = 0. Calculate g.
-3, -2, 0
Let y(m) be the second derivative of -m**8/12320 - m**7/4620 + m**4/12 + 19*m**2/2 - 6*m - 11. Let d(i) be the third derivative of y(i). Solve d(t) = 0 for t.
-1, 0
Let l(u) be the first derivative of u**5 + 15*u**4/2 + 25*u**3/3 - 30*u**2 + 586. Factor l(n).
5*n*(n - 1)*(n + 3)*(n + 4)
Let -5875/3*s**3 - 352/3*s**4 - 36650/3*s**2 - 20000/3 - 7/3*s**5 - 80000/3*s = 0. Calculate s.
-20, -5, -2/7
Let u(q) be the first derivative of q**4/10 + 1762*q**3/15 + 193599*q**2/5 - 388962*q/5 - 8373. Factor u(r).
2*(r - 1)*(r + 441)**2/5
Let i(j) be the first derivative of 2*j**3/39 + 14*j**2/13 + 96*j/13 + 1929. Let i(x) = 0. What is x?
-8, -6
Let x(a) be the first derivative of -1/12*a**3 - 1/16*a**4 + 1/20*a**5 + 129 + 0*a**2 + 1/24*a**6 + 0*a. Factor x(b).
b**2*(b - 1)*(b + 1)**2/4
Let l(a) be the second derivative of 14/9*a**3 - 1/54*a**4 + 0 - 49*a**2 - 43*a. Factor l(j).
-2*(j - 21)**2/9
Let o = -2273 + 2273. Let r(j) be the second derivative of -27/40*j**5 - 9/2*j**2 - 21/8*j**4 - 19/4*j**3 + 18*j - 1/20*j**6 + o. What is h in r(h) = 0?
-6, -1
Let o(p) = -25*p + 103. Suppose 11*i = 9*i - 4*l + 28, 25 = 5*l. Let s be o(i). Factor 4*c**4 + 12/5*c**s + 0 + 0*c - 8/5*c**2.
4*c**2*(c + 1)*(5*c - 2)/5
Let a(j) be the first derivative of -1/4*j**3 + 3/2*j**2 + 9*j - 25. Let a(f) = 0. Calculate f.
-2, 6
Let d(b) = 4*b**2 + 5*b