*(9*z - 2)**2
Let o(p) be the third derivative of -p**7/14 + 133*p**6/40 + 51*p**5/5 - 55*p**4/2 - 56*p**3 - 9*p**2 + 230. Find f, given that o(f) = 0.
-2, -2/5, 1, 28
Let a(l) be the third derivative of -l**8/84 - 16*l**7/105 - 8*l**6/15 + 1165*l**2. Solve a(x) = 0.
-4, 0
Let s(u) be the second derivative of 22*u**6/15 + 9*u**5/5 - 52*u**4 - 472*u**3/3 + 96*u**2 - 2738*u - 1. Find k, given that s(k) = 0.
-3, -2, 2/11, 4
Let q(r) = r**3 + 23*r**2 + r + 26. Let v be q(-23). Let t be (-4)/(-6) - (50/v)/(-5). Solve -t*j**5 - 4 + 20*j**3 - 4*j**2 - 32*j + 4*j**4 - 16 + 4 = 0.
-1, 2
Let o(d) = 91*d + 93. Let q be o(-1). Let m = 44 + -11. Factor 29 - 11 - 3*w**3 + 18*w**q + m*w + 6*w**3.
3*(w + 1)*(w + 2)*(w + 3)
Factor -85*n - n**3 - 146*n + 6*n**3 - 174*n.
5*n*(n - 9)*(n + 9)
Suppose 18*c**5 - 740*c**2 - 120*c + 13*c**4 - 33*c**4 - 35*c**4 + 157*c**5 - 858*c**3 - 292*c**3 = 0. What is c?
-2, -2/5, -2/7, 0, 3
Factor -30276 + 695/4*o**2 - 30102*o - 1/4*o**3.
-(o - 348)**2*(o + 1)/4
Let y(c) be the first derivative of 3*c**4/8 - 21*c**3/2 + 39*c**2/2 + 756*c + 10596. Find l such that y(l) = 0.
-4, 7, 18
Suppose 22*z - 669 = -53. Suppose 51*t = 65*t - z. Let 2/3*j**5 - 1/3*j**3 + 2/3 - 7/3*j**t - 1/3*j + 5/3*j**4 = 0. What is j?
-2, -1, 1/2, 1
Solve 2/11*x**2 - 86*x - 948/11 = 0.
-1, 474
Let o(l) = -13*l**2 + 657*l - 2784. Let i(s) = -31*s**2 + 1643*s - 6960. Let x(a) = -7*i(a) + 17*o(a). What is j in x(j) = 0?
-87, 4
Let z = 56710 + -283538/5. Let 2/5*q**2 - 8/5*q + 2/5 + z*q**3 = 0. What is q?
-1, 1/3, 1/2
Let j(k) be the second derivative of 5*k**7/14 - 11*k**6/3 - 41*k**5/4 + 215*k**4/3 + 590*k**3/3 - 240*k**2 + 1864*k. Find a such that j(a) = 0.
-2, 1/3, 3, 8
Find q such that -734449/10 - 1/10*q**2 - 857/5*q = 0.
-857
Determine a so that -8 + 28/3*a**3 - a**4 + 38/3*a + 31*a**2 = 0.
-2, -1, 1/3, 12
Let v = -50 + 53. Factor -65*j + 17*j**3 - 10*j**2 - 50 + 19*j**3 - 31*j**v.
5*(j - 5)*(j + 1)*(j + 2)
Let -254/3 - 2/3*h**3 - 250/3*h**2 + 506/3*h = 0. What is h?
-127, 1
Solve 324/7 + 316/7*j**2 + 92*j - 4/7*j**3 = 0 for j.
-1, 81
Let c(f) be the second derivative of f**5/75 - 2*f**3/15 + 27*f**2/2 - f. Let d(h) be the first derivative of c(h). Factor d(x).
4*(x - 1)*(x + 1)/5
Let u(m) = 3*m**3 - 204*m**2 + 406*m - 18. Let a(t) = -28*t**3 + 1835*t**2 - 3653*t + 171. Let q(j) = 2*a(j) + 19*u(j). Let q(n) = 0. What is n?
0, 2, 204
Find v, given that 412*v**2 + 0*v**3 + 20*v**4 - 231*v - 55*v**4 + 180 - 137*v**2 + 5*v**5 - 189*v - 5*v**3 = 0.
-3, 1, 2, 6
Let s(r) be the third derivative of -r**10/378000 - r**9/50400 + r**8/12600 - 53*r**5/20 + 4*r**2 + 1. Let k(y) be the third derivative of s(y). Solve k(i) = 0.
-4, 0, 1
Let p(l) be the first derivative of 2/15*l**3 + 0*l**2 - 1/60*l**4 + 5 + 19*l. Let x(f) be the first derivative of p(f). Solve x(s) = 0.
0, 4
Suppose 108/11*a - 2/11*a**2 - 736/11 = 0. What is a?
8, 46
Let u(z) = 7*z**4 - 16*z**3 + 50*z**2 - 32*z - 5. Let d(w) = -w**4 - 2*w**2 + 1. Suppose -16*b - 63 = 17. Let i(t) = b*d(t) - u(t). What is n in i(n) = 0?
0, 2, 4
Factor -2050/13 + 4102/13*c + 2/13*c**3 - 158*c**2.
2*(c - 1025)*(c - 1)**2/13
Suppose -2*n = -4 + 6. Let o be -3 - (-5 + 2/n). Solve -13*j**5 - 33*j**o + 43*j**3 - 67*j**3 + 12*j**2 + 4*j**5 = 0 for j.
-2, 0, 1/3
Let z(i) be the second derivative of i**6/60 - 2*i**5/5 + 7*i**4/4 - 10*i**3/3 - 18*i**2 + 54*i. Let h(u) be the first derivative of z(u). Factor h(b).
2*(b - 10)*(b - 1)**2
Let b = 12802 + -38399/3. Factor 0 + 0*d**2 - d**4 + b*d**3 - 4/3*d.
-d*(d - 2)*(d - 1)*(3*d + 2)/3
Let u be (7 + 5)*(-10)/(-12). Factor 19*j**4 + u*j**2 + 10*j**3 - j**5 + 9*j**3 - 11*j**4.
-j**2*(j - 10)*(j + 1)**2
Suppose 863/2*i**2 + 11094 - 18748*i - 5/2*i**3 = 0. Calculate i.
3/5, 86
Let d(z) be the first derivative of 1/30*z**6 + 18/25*z**5 + 61/20*z**4 - 12*z**3 + 10*z**2 - 62 + 0*z. Factor d(j).
j*(j - 1)**2*(j + 10)**2/5
Let p(y) = y**2 - 10*y + 31. Let c be p(6). Suppose -1341*m + 2671*m - 1338*m + m**2 + c = 0. What is m?
1, 7
Suppose 96 = -8*t + 20*t. Determine x so that -294*x**2 + 4 + t*x**3 + 145*x**2 + 2*x**5 + 153*x**2 - 10*x - 8*x**4 = 0.
-1, 1, 2
Let p(w) = -5*w**2 - 115*w - 356. Let v(x) = 4*x**2 + 115*x + 351. Let k(a) = 3*p(a) + 4*v(a). Factor k(j).
(j + 3)*(j + 112)
Let o(r) = -848*r**2 - 172*r - 1484. Let z(t) = 17*t**2 + t - 2. Let n(k) = 2*o(k) + 100*z(k). Determine v so that n(v) = 0.
-11, 72
Let t = 14097/2 + -7044. Let m(f) be the second derivative of -t*f**2 + 3/40*f**5 - 24*f + 0 + 1/4*f**4 - 5/4*f**3. Determine u so that m(u) = 0.
-3, -1, 2
Let n(y) be the third derivative of 39*y**2 + 0*y**3 + 0*y + 1/6*y**6 + 0 + 1/12*y**7 - 2/3*y**5 + 5/672*y**8 + 0*y**4. Factor n(k).
5*k**2*(k - 1)*(k + 4)**2/2
Let i = -124982 + 1124848/9. Factor -i*x**3 - 4/9*x**2 - 8/9*x**4 + 0*x - 2/9*x**5 + 0.
-2*x**2*(x + 1)**2*(x + 2)/9
Let s(b) = 3000*b - 143996. Let k be s(48). Factor 1/6*x**5 + 0*x + 1/6*x**k + 0 - 1/3*x**3 + 0*x**2.
x**3*(x - 1)*(x + 2)/6
Find p, given that -24/5*p - 27/5*p**2 - 7/5*p**3 + 4/5 = 0.
-2, 1/7
Let g be -3*(6/(-15) - (-292)/(-1095)). Find w, given that 2/11*w + 10/11*w**g - 2/11*w**3 - 10/11 = 0.
-1, 1, 5
Factor -312*p**3 - p**4 + 362*p**3 - 15129 - 200*p**3 - 94*p**3 - 14638*p**2 + 30012*p.
-(p - 1)**2*(p + 123)**2
Solve -257/7*h + 1/7*h**2 + 256/7 = 0 for h.
1, 256
Let p(v) be the first derivative of -100 - 2/3*v**2 + 2/27*v**3 - 2/45*v**5 + 0*v + 1/3*v**4. Factor p(w).
-2*w*(w - 6)*(w - 1)*(w + 1)/9
Let n(a) be the second derivative of a**5/30 - 7*a**4/18 - 28*a**3/9 - 20*a**2/3 - 147*a + 2. What is j in n(j) = 0?
-2, -1, 10
Let t(m) = -m**2 - 13*m - 12. Let o be t(-12). Let j = 15347/106939 + -10/15277. Let -2/7*l + 1/7*l**2 + j*l**3 + o = 0. Calculate l.
-2, 0, 1
Let s = 71416/3 + -357074/15. Let g(r) = 3*r**2. Let q be g(-1). Find w such that -2/15*w**q + s*w**2 - 8/15 + 0*w = 0.
-1, 2
Find n such that -18241104*n**2 - 2/7*n**4 - 39668320832*n - 32349515638496 - 3728*n**3 = 0.
-3262
Let o(m) be the second derivative of -m**5/180 - 23*m**4/36 - 529*m**3/18 + 119*m**2/2 + 122*m. Let c(h) be the first derivative of o(h). Factor c(d).
-(d + 23)**2/3
Let i(x) be the third derivative of -1/5*x**4 - 1/300*x**6 - 1/25*x**5 + 4 - 8/15*x**3 - 17*x**2 + 0*x. Factor i(w).
-2*(w + 2)**3/5
Let i(p) = -24*p**2 - 8*p - 8. Let d(w) = 3*w**2 + 32 - 4*w**2 - 33. Let r be (-40)/(-25)*(-15)/2. Let k(n) = r*d(n) + i(n). Determine m so that k(m) = 0.
-1, 1/3
Let g be ((-48)/180)/((-6)/(-21820)). Let n = g - -970. Factor n*d**3 + 0 - 4/9*d**2 + 2/9*d.
2*d*(d - 1)**2/9
Let s = 79/34 - -3/17. Let b be (60/64)/((-96)/(-256)). Suppose 0 + b*l**3 + 0*l - s*l**5 + l**2 - l**4 = 0. What is l?
-1, -2/5, 0, 1
Let k(x) be the first derivative of -x**3 - 153*x**2/2 - 294*x - 1030. Suppose k(m) = 0. What is m?
-49, -2
Let h(f) be the second derivative of -1/18*f**4 + 0*f**3 + 0 + 0*f**2 - 1/20*f**6 - 11/252*f**7 + 1/5*f**5 + 196*f. Determine v, given that h(v) = 0.
-2, 0, 2/11, 1
Let w be 1 + (7 - (-196)/30). Let i = w - 66/5. Solve 0 - 8/3*n + i*n**2 + 4/3*n**3 = 0 for n.
-2, 0, 1
Let t be ((-448)/240)/(64/(-24))*(-20)/(-56). Solve 0 + 5/4*i**2 - 5/4*i**4 - t*i**5 + i - 3/4*i**3 = 0 for i.
-4, -1, 0, 1
Let u(o) be the first derivative of o**3/3 - o**2/2 - 42*o - 7928. Solve u(h) = 0 for h.
-6, 7
Factor 0 - 166/3*n**2 + 2/3*n**3 + 0*n.
2*n**2*(n - 83)/3
Let s(p) be the third derivative of -p**9/423360 + p**7/5040 - p**6/840 - 77*p**5/60 + 57*p**2. Let f(a) be the third derivative of s(a). Factor f(g).
-(g - 2)*(g - 1)*(g + 3)/7
What is s in 3*s**3 - 2*s**4 - 3922*s**2 + 3822*s**2 - 57*s**3 = 0?
-25, -2, 0
Let f(w) = -50*w**2 - 7501*w - 148. Let o be f(-150). Suppose -q**o + 3/2*q**3 + 0 - 1/2*q**4 + 0*q = 0. Calculate q.
0, 1, 2
Let d(c) be the third derivative of -c**5/12 - 85*c**4/3 + 695*c**3/2 - 2352*c**2 + 2*c. What is j in d(j) = 0?
-139, 3
Let z(c) be the first derivative of 3*c**4/4 + 11*c**3 - 18*c**2 + 4700. Factor z(q).
3*q*(q - 1)*(q + 12)
Let x(t) be the third derivative of -4*t**6/15 + 7*t**5/15 + 4*t**4/3 - 14*t**3/3 - 2343*t**2. Factor x(c).
-4*(c - 1)*(c + 1)*(8*c - 7)
Let k(m) be the second derivative of -m**8/896 + m**7/140 - m**6/80 - 10*m**2 - 92*m. Let a(c) be the first derivative of k(c). Factor a(b).
-3*b**3*(b - 2)**2/8
Suppose -11*m = -4074 + 4041. Let n(d