*d(z) + 7*r(z). Solve m(v) = 0.
-2, 1
Let l(k) be the first derivative of -k**3/12 - 59*k**2/8 - 102*k + 1146. Factor l(y).
-(y + 8)*(y + 51)/4
Factor 2/5*w**2 + 96 - 482/5*w.
2*(w - 240)*(w - 1)/5
Let i(r) be the first derivative of 75/16*r**2 - 3*r**3 + 9/5*r**5 + 0*r + 232 - 39/16*r**4 + 1/16*r**6. Solve i(n) = 0 for n.
-25, -1, 0, 1
Suppose 0 - 75*p**2 + 288/5*p + 84/5*p**3 + 3/5*p**4 = 0. What is p?
-32, 0, 1, 3
Let t = -1713 + 5140/3. Let j(b) be the first derivative of -1/6*b**6 + 5/12*b**4 - 8 + 1/15*b**5 + 0*b - 1/9*b**3 - t*b**2. Suppose j(g) = 0. What is g?
-1, -2/3, 0, 1
Let r(h) be the second derivative of h**5/20 - h**4/2 - 121*h**3/6 + 63*h**2 + 5*h + 83. Factor r(g).
(g - 14)*(g - 1)*(g + 9)
Let q(l) be the third derivative of -9*l**2 + 1/24*l**6 + 0 - 35/24*l**4 + 1/6*l**5 + 10/3*l**3 + 6*l. Find k, given that q(k) = 0.
-4, 1
Let 42 + 216/7*w**2 + 2/7*w**4 + 68*w + 36/7*w**3 = 0. Calculate w.
-7, -3, -1
Let r be 11995/(-585) + (-32)/(-36). Let z = r + 2321/117. Suppose 0 - z*c**5 - 8/3*c**3 - 2/3*c + 4/3*c**4 + 20/9*c**2 = 0. Calculate c.
0, 1, 3
Let c(l) = -2*l**5 + 2*l**3 + 1. Let w(b) = 33*b**5 - 132*b**4 - 33*b**3 + 132*b**2 - 15. Let r(x) = -15*c(x) - w(x). Find j, given that r(j) = 0.
-1, 0, 1, 44
Suppose 0 + 5 = k - 2*o, 5*k + 5*o - 85 = 0. Suppose 0 = -q - 4*q + 4*b, -3*q + 5*b - k = 0. Suppose 10/3*r - 2/3*r**2 + q = 0. Calculate r.
-1, 6
Let k be 3 + 2/(-16)*4. Let u(w) be the second derivative of -k*w**2 + 4*w + 25/6*w**3 + 0 - 5/3*w**4. Factor u(m).
-5*(m - 1)*(4*m - 1)
Let u be (-3818)/483 + 8 - ((-235)/(-168))/(-5). Factor -297/8*x**2 - 363/8*x**3 - u + 63/8*x.
-3*(x + 1)*(11*x - 1)**2/8
Factor 21*t - 1/3*t**3 + 216 - 10/3*t**2.
-(t - 8)*(t + 9)**2/3
Let l(j) be the third derivative of -j**5/180 - 275*j**4/18 - 151250*j**3/9 - 382*j**2. Solve l(w) = 0.
-550
Let l(n) = -10*n - 70 - 58 + 111 + 7*n**2. Let s(h) = -15*h**2 + 21*h + 36. Let q(c) = -13*l(c) - 6*s(c). Solve q(g) = 0 for g.
-1, 5
Let r(z) = -z - 3. Let d be r(-11). Suppose -5*a = -d*a + 60. Factor 25*f**3 + 92*f - 92*f + 5*f**5 + a*f**4 + 10*f**2.
5*f**2*(f + 1)**2*(f + 2)
Suppose 5*k - l - 27 = -13, -l = -3*k + 8. Let h(z) be the second derivative of -6*z - 1/30*z**4 + 0 + 2/15*z**k + 0*z**2. Factor h(o).
-2*o*(o - 2)/5
Suppose 34*z - 34102 + 3536 = 0. Let q = z - 896. Determine a, given that 0*a - 2/3*a**2 + 2/3*a**q + 0 = 0.
0, 1
Let v(h) be the third derivative of h**7/84 - 19*h**6/16 + 127*h**5/3 - 580*h**4 + 1920*h**3 - 13302*h**2. What is b in v(b) = 0?
1, 8, 24
Suppose -4*v + 68 = -4*r, -29 = -5*v - r + 74. Suppose v*d**5 + 18*d**3 - 12*d**3 + 4*d**3 + 29*d**4 + d**2 = 0. What is d?
-1, -1/4, -1/5, 0
Let i(g) be the third derivative of -g**6/780 + 4*g**5/195 + 3*g**4/52 - 1172*g**2. Find v, given that i(v) = 0.
-1, 0, 9
Let k(z) be the first derivative of z**4/8 + 13*z**3/6 - 43*z**2/2 + 36*z - 3183. Factor k(r).
(r - 4)*(r - 1)*(r + 18)/2
Let v(f) be the third derivative of f**8/1344 - f**7/126 + f**6/36 - 21*f**4/8 + 29*f**2 + f. Let j(m) be the second derivative of v(m). Factor j(n).
5*n*(n - 2)**2
Let t(f) = -5299*f**3 - 385*f**2 - 6*f. Let s(d) = 5297*d**3 + 383*d**2 + 6*d. Let i(r) = 5*s(r) + 4*t(r). Factor i(y).
3*y*(41*y + 1)*(43*y + 2)
Suppose -2*q + 10*q - 24 = 0. Determine w, given that q*w**2 + 4*w + 2*w + 2*w + 10*w = 0.
-6, 0
Suppose 31900*t = 31916*t - 272. Let u(s) be the second derivative of -1/6*s**3 + 1/4*s**4 + 1/30*s**6 - t*s + 0 - 3/20*s**5 + 0*s**2. Factor u(j).
j*(j - 1)**3
Let r(u) = -u**5 - u**3 - u. Let d(w) = 21*w**5 - 72*w**4 + 516*w**3 - 792*w**2 + 381*w. Let f(i) = d(i) + 18*r(i). Suppose f(j) = 0. Calculate j.
0, 1, 11
Let y = 6021 + -6018. Let k(b) be the first derivative of -2/25*b**5 + 0*b**4 + 14 + 0*b**2 + 0*b + 2/15*b**y. Factor k(p).
-2*p**2*(p - 1)*(p + 1)/5
Solve -20*f**2 + 1/2*f**3 - 88 - 86*f = 0 for f.
-2, 44
Let s be (-2)/(-3) + (-255)/45 + 984/192. Find l, given that 3/8*l + 1/8*l**3 - s - 3/8*l**2 = 0.
1
Let h(q) be the second derivative of -32/27*q**3 - 1/135*q**6 + 2 + 35*q - 4/9*q**4 - 16/9*q**2 - 4/45*q**5. Determine z so that h(z) = 0.
-2
Let z(k) be the third derivative of k**7/735 + k**6/420 - 11*k**5/210 - 3*k**4/28 + 6*k**3/7 - 28*k**2 + 89. Suppose z(v) = 0. What is v?
-3, -2, 1, 3
Factor -13/5*a - 2/5*a**2 - a**4 + 7/5 - 1/5*a**5 + 14/5*a**3.
-(a - 1)**3*(a + 1)*(a + 7)/5
Suppose 533*i - 630 + 679 = 2181. Let l(c) be the third derivative of 1/420*c**5 + 0 - 5/168*c**i + 0*c + 0*c**3 + 16*c**2. What is k in l(k) = 0?
0, 5
Suppose -47*n + 19*n = 212*n + 125*n - 730. Find m, given that 0*m + 0 - 1/4*m**5 + 1/4*m**4 - 1/4*m**n + 1/4*m**3 = 0.
-1, 0, 1
Let g be (-8)/(-20) + (-18)/(-1710)*247. Solve -1/10*l**g + 1/10*l**4 + 1/5 - 3/10*l**2 + 1/10*l = 0.
-1, 1, 2
Determine p so that 2777*p + 3263547 - 7716195*p**2 + 7716198*p**2 + 3481*p = 0.
-1043
Let n(g) be the third derivative of 0 - 1/147*g**8 + 4/7*g**3 + 0*g - 72*g**2 - 5/42*g**4 - 13/105*g**5 + 3/70*g**6 + 2/105*g**7. Find h such that n(h) = 0.
-1, 3/4, 1, 2
Let f(v) be the second derivative of 3*v**5/100 - 63*v**4/20 - 133*v**3/10 + 117*v**2/2 + 7*v + 2. Factor f(s).
3*(s - 65)*(s - 1)*(s + 3)/5
Let y(b) be the third derivative of 1/224*b**8 - 1/10*b**5 - 1/24*b**6 - 1/48*b**4 + 3*b + b**2 + 1/6*b**3 + 1/210*b**7 + 0. Let y(r) = 0. What is r?
-1, 1/3, 2
Let i(g) be the second derivative of 5/6*g**4 - 1/4*g**5 + 0 + 10*g**2 - 6*g + 35/6*g**3. Factor i(r).
-5*(r - 4)*(r + 1)**2
Let c = 3490 + -6250. Let u be (-2530)/c + -1*4/6. Let -f**4 + 5/2*f**2 + 0*f**3 - 1/4*f**5 - 3/2 + u*f = 0. What is f?
-3, -2, -1, 1
Solve -1/7*f**4 + 228*f**2 + 262/7*f**3 + 3208/7*f + 2144/7 = 0.
-2, 268
Let o(m) be the second derivative of -m**5/2 + 701*m**4/2 + 984*m**3 + 844*m**2 - 19*m + 68. Factor o(y).
-2*(y - 422)*(y + 1)*(5*y + 2)
Let j be ((-2)/15 - (-235)/75)*1. Find y, given that -3*y**5 - 5*y**4 - 3*y + 5 + 6*y**j + 4 + 158*y**2 - 176*y**2 + 14*y**4 = 0.
-1, 1, 3
Suppose -12*d**4 + 64*d**3 + 6*d + 2*d**3 - 9*d**3 - 12*d**5 + 3*d - 42*d**2 = 0. What is d?
-3, 0, 1/2, 1
Let c(u) be the first derivative of u**5/20 - 25*u**4/8 - 13*u**3 + 96*u**2 + 90. Let d(l) be the second derivative of c(l). Solve d(s) = 0 for s.
-1, 26
Let v = 102 + -96. Let o be (52/v + -2)/((-4)/(-6)). Factor -4*n**2 + n**2 + 5*n + o*n + 260 - 272.
-3*(n - 4)*(n - 1)
Let g be (-12)/102 - (-852)/17. Suppose 0 = -4*h + 14*h - g. Suppose 6*z - 5*z**2 + z**2 + h*z**3 - 5*z**2 - 2*z**3 = 0. Calculate z.
0, 1, 2
Suppose -8*g - 627 + 651 = 0. Find i such that 8/7*i**4 - 6/7*i**2 - 8/7*i**g - 2/7 + 8/7*i = 0.
-1, 1/2, 1
Let v(g) = -16*g**3 - 432*g**2 - 432. Let q(i) = i**3 - 2*i**2 + 36. Let u(b) = 12*q(b) + v(b). Let u(y) = 0. What is y?
-114, 0
Let x = -380 - -877. Let c = 507 - x. Find m such that 160/3 - 40*m + c*m**2 - 5/6*m**3 = 0.
4
Let m(k) be the second derivative of k**5/4 - 5*k**4/12 - 185*k**3/6 - 175*k**2/2 - k - 57. Factor m(j).
5*(j - 7)*(j + 1)*(j + 5)
Let o be 42/126*2*66/4. Factor 3*t**4 + 3*t**3 - 5*t**4 + 2*t**3 + o*t**3 - 32*t**2.
-2*t**2*(t - 4)**2
Let n(b) be the third derivative of -b**6/40 + 157*b**5/20 - 132*b**4 + 450*b**3 + 300*b**2 - b + 4. Let n(g) = 0. What is g?
1, 6, 150
Let x(k) = -4*k**3 - 477*k**2 + 1835*k - 565. Let c(i) = -3*i**3 - 240*i**2 + 918*i - 282. Let l(m) = 7*c(m) - 3*x(m). Factor l(s).
-3*(s - 3)*(s + 31)*(3*s - 1)
Factor 21*w**3 + 332*w**2 - 101*w**3 - 690*w**2 - 4*w**4 + 42*w**2 - 240*w.
-4*w*(w + 1)*(w + 4)*(w + 15)
Let o(l) be the second derivative of 2*l**6/105 + 52*l**5/35 - 4*l**4/21 - 416*l**3/21 - 2196*l. Find a such that o(a) = 0.
-52, -2, 0, 2
Let m(l) be the first derivative of -5*l**3/3 + 145*l**2/2 + 150*l - 1136. Find o, given that m(o) = 0.
-1, 30
Let z = -172 - -212. Factor -25*a + 14 + 56 - 5*a**2 - z.
-5*(a - 1)*(a + 6)
Let x(b) = 2*b**2 + 84*b + 188. Let m(w) = -w**2 - 28*w - 62. Suppose 0 = -47*o + 52*o - 70. Let n(z) = o*m(z) + 5*x(z). Factor n(d).
-4*(d - 9)*(d + 2)
Let l(w) = 135*w**2 - 7*w + 21. Let t be l(3). Let g = 17 + -12. Factor 30*z**2 + 10*z**3 + 105*z**2 - g*z**3 + t*z + 3645.
5*(z + 9)**3
Let b(a) be the second derivative of a**5/20 + a**4/4 - 97*a**3/6 - 99*a**2/2 + 646*a. Suppose b(m) = 0. Calculate m.
-11, -1, 9
Find b, given that 2 - 2/13*b**3 + 50/13*b + 22/13*b**2 = 0.
-1, 13
Suppose 780*i - 26 = 1