(i + 3)/6
Suppose 57 = 9*a + 10*a. Find j such that -16*j + 2*j**3 - 18*j + 7*j - 3*j - a*j**3 - 17*j**2 = 0.
-15, -2, 0
Suppose 28 = 4*r, -3*y - 2*r + 16 = -2*y. Let c(a) be the first derivative of -12/13*a**3 + 4/13*a**4 - 10/13*a + 8 - 2/65*a**5 + 16/13*a**y. Factor c(p).
-2*(p - 5)*(p - 1)**3/13
Let 87*t**3 + 130*t - 1014*t + 141*t - 291*t**2 - 6*t**5 + 323*t + 147*t**4 + 195*t = 0. Calculate t.
-1, 0, 3/2, 25
Let y(x) be the second derivative of -520/3*x**3 + 3/8*x**6 + 160*x**2 + 965/12*x**4 - 74*x - 39/4*x**5 + 0. Factor y(m).
5*(m - 8)**2*(3*m - 2)**2/4
Let b = -244 - -1243. Let t = b - 996. Factor 1/2*n**5 + 128*n + 128*n**2 + 8*n**4 + 0 + 48*n**t.
n*(n + 4)**4/2
Let o(a) be the third derivative of -a**6/10 - 14*a**5/15 - 7*a**4/6 + 8*a**3/3 - 3880*a**2. What is s in o(s) = 0?
-4, -1, 1/3
Let x(o) = 25*o**2 - 625*o - 740. Let i(j) = -102*j**2 + 2499*j + 2958. Let a(h) = -2*i(h) - 9*x(h). Solve a(n) = 0.
-8/7, 31
Let w(n) be the third derivative of -3 + 1/70*n**7 - 1/40*n**6 + 0*n - 3/20*n**5 + 2*n**2 - n**3 + 5/8*n**4. Let w(z) = 0. What is z?
-2, 1
Let r(i) be the second derivative of 0 + 44*i**3 - 198*i - 2904*i**2 - 1/4*i**4. Find d such that r(d) = 0.
44
Let i(w) be the second derivative of -27/2*w**2 + 1/7*w**3 + 1/210*w**5 - 1/21*w**4 + 0 + 24*w. Let o(y) be the first derivative of i(y). What is m in o(m) = 0?
1, 3
Let f be (-20)/440*(5 - 2)/(-6). Let x(c) be the third derivative of 0 - f*c**4 + 2/33*c**3 + 0*c + 1/330*c**5 + 18*c**2. Determine w so that x(w) = 0.
1, 2
Let l be (-554)/(-8) - 111/(-148). Let x be (9/5*(l - 74))/(-1). Let x*j + 8/5 + 12/5*j**2 - 16/5*j**3 = 0. Calculate j.
-1, -1/4, 2
Factor 68/3*d**4 + 388/3*d**2 + 257/3*d + 64/3 + 262/3*d**3 + 1/3*d**5.
(d + 1)**4*(d + 64)/3
Let z be (7/4)/(-3 + (-325)/(-104)). Find s, given that 20*s**4 - 4*s**3 - 40*s**2 - 595 - z*s**5 - s**5 - 5*s - 10*s + 34*s**3 + 615 = 0.
-1, 1, 4/3
Determine x, given that -30 - x**3 + 76*x - 34*x - 83*x - 12*x**2 = 0.
-6, -5, -1
Let f = 4604/3 + -36829/24. Let u(i) be the second derivative of -6*i + 1/12*i**3 - 1/20*i**5 - 1/30*i**6 - f*i**2 + 0 + 1/16*i**4. Solve u(k) = 0.
-1, 1/2
Let n be -4*1/(-16) - (20 + 1738/(-88)). Factor -1/6*h**2 + n - 4/3*h.
-h*(h + 8)/6
Factor -262730*u**2 + 131507*u**2 - 75*u + 131453*u**2 - 15*u**3.
-5*u*(u - 15)*(3*u - 1)
Let k = 239/208 - -137/1872. Determine h so that k*h**3 + 25/9*h - 2/3 + 14/3*h**2 = 0.
-3, -1, 2/11
Let d(q) be the second derivative of -q**4/36 - 1658*q**3/9 - 1374482*q**2/3 - 7811*q. Find p such that d(p) = 0.
-1658
Suppose 5*f - 387 = 5*v - 117, 2*f - 100 = -2*v. Let m = -50 + f. Factor 8 - m + 10*q - 10*q + 5*q - q**2.
-(q - 6)*(q + 1)
Let u be 2/(-4)*3/6*254. Let w = -1897/30 - u. Factor -4/15*g**2 + 2/15*g - 2/15*g**3 + w.
-2*(g - 1)*(g + 1)*(g + 2)/15
Let p = 639 - 1258. Let i = -616 - p. Factor 0*f + 0*f**2 - 8/7*f**i + 0 + 4/7*f**5 + 4/7*f**4.
4*f**3*(f - 1)*(f + 2)/7
Let h(a) be the third derivative of a**6/24 - 35*a**5/3 + 8395*a**4/8 - 7935*a**3 + 94*a**2 + 10. Factor h(n).
5*(n - 69)**2*(n - 2)
Let r(k) be the third derivative of k**7/210 + 29*k**6/120 - 53*k**5/10 + 112*k**4/3 - 304*k**3/3 + 2*k**2 - 111*k. Factor r(a).
(a - 4)**2*(a - 1)*(a + 38)
Let c be (8/(-16))/((-1)/30). Factor 60 + c*z**4 + 14 + 60 + 1360*z + 1285*z**2 + 186 + 260*z**3.
5*(z + 1)*(z + 8)**2*(3*z + 1)
Factor -99/8*a**3 - 21/2*a + 0 + 174*a**2.
-3*a*(a - 14)*(33*a - 2)/8
Suppose 0 = 141*r + 22*r + 141*r + 197*r - 1503. Let 28/5*i**2 + 0*i + 0 - 4/5*i**r = 0. What is i?
0, 7
Let v(y) be the second derivative of y**7/3990 + y**6/3420 - 8*y**3 - 39*y. Let u(i) be the second derivative of v(i). Let u(n) = 0. Calculate n.
-1/2, 0
Let m(u) be the first derivative of u**4/54 - 7*u**3/27 - 18*u - 87. Let a(p) be the first derivative of m(p). Factor a(g).
2*g*(g - 7)/9
Factor 225 + 20*i + i**2 + 165 + 18 + 392*i + 3*i**2.
4*(i + 1)*(i + 102)
Solve 477/10 + 2/5*s**2 - 1909/10*s = 0.
1/4, 477
Let c(w) be the first derivative of w**4/6 + 22*w**3/9 + 34*w**2/3 + 16*w + 218. Determine v, given that c(v) = 0.
-6, -4, -1
Suppose -3*c - c + 16 = 0. Let v be ((-20)/(-5) - c)/(1 - -1). Let 2*a**2 + v*a**2 + 0*a**2 - 11*a - 4 + 13*a = 0. What is a?
-2, 1
Let n = -1006 - -1008. Suppose m**4 + 2451*m**2 - 1224*m**n - 1238*m**2 - 10*m**3 = 0. Calculate m.
-1, 0, 11
Let k(v) be the second derivative of -5/4*v**4 + 11/25*v**5 - 4/5*v**2 + 23/15*v**3 + 6*v - 4 - 7/150*v**6. Solve k(u) = 0 for u.
2/7, 1, 4
Let n = 8 - 6. Let o(g) = -64 + 6*g**2 - 108491*g**3 + 108489*g**3 - 18*g**2 + 51*g. Let i(s) = s**3 - s. Let y(q) = n*o(q) + 6*i(q). Factor y(j).
2*(j - 4)**3
Let u(s) be the third derivative of 1/21*s**4 + 1/105*s**6 + 0*s - 1/35*s**5 - 1/21*s**3 - 1/735*s**7 + 13*s**2 - 1. Factor u(f).
-2*(f - 1)**4/7
Let q(k) be the first derivative of -2*k**5/35 + 31*k**4/7 - 120*k**3/7 + 178*k**2/7 - 118*k/7 - 5652. Factor q(p).
-2*(p - 59)*(p - 1)**3/7
Let v be 2/((-12)/(-30)) + -3. Factor -5*j**3 + 46*j**v - 173*j + 20*j**2 + 41*j**2 + 540 - 187*j - 32*j**2.
-5*(j - 6)**2*(j - 3)
Let b(g) be the second derivative of -g**5/10 + 31*g**4/6 - 164*g**3/3 - 460*g**2 + 62*g. Factor b(q).
-2*(q - 23)*(q - 10)*(q + 2)
Let v = 359 - 356. Factor l**2 + 12*l - 39 + v*l**2 - 1.
4*(l - 2)*(l + 5)
Factor 45*d**2 + 20*d**2 + 10672200 - 63*d**2 + 6328*d + 2912*d.
2*(d + 2310)**2
Let l = -694 + 7642/11. Let s be 447/165 + 8496/(-4720). Factor 38/11*r + s + 32/11*r**2 - l*r**3.
-2*(r - 5)*(2*r + 1)**2/11
Let f = 273324 + -819934/3. Suppose -40/3 + 2/3*i**2 - f*i = 0. Calculate i.
-1, 20
Let x(m) be the first derivative of -1/6*m**4 - 142 - m**2 + 10/9*m**3 - 6*m. Factor x(q).
-2*(q - 3)**2*(q + 1)/3
Let p(r) be the first derivative of -r**5 + 15*r**4/4 + 35*r**3/3 - 135*r**2/2 + 90*r - 813. Let p(a) = 0. What is a?
-3, 1, 2, 3
Let w(t) be the second derivative of 1/4*t**4 + 0 - 57/2*t**2 - 9*t**3 - 52*t. Factor w(i).
3*(i - 19)*(i + 1)
Let g(o) be the second derivative of o**4/32 + o**3/6 - o**2 - 1456*o. Factor g(t).
(t + 4)*(3*t - 4)/8
Let i = -427/32 + 4291/288. Let p be -2*(-1)/2 - -1. Find z such that -2/3 - 10/9*z**p - i*z - 2/9*z**3 = 0.
-3, -1
Suppose -4*g + 17*g + 99 = 17*g + 29*g. What is c in 108/19*c - 8/19*c**g + 22/19 + 78/19*c**2 = 0?
-1, -1/4, 11
Solve -112/3 + 4/3*j**5 - 20*j**4 + 44/3*j**3 - 16*j + 172/3*j**2 = 0.
-1, 1, 2, 14
Let n(o) be the third derivative of 2*o**7/35 - 53*o**6/40 + 173*o**5/20 - 5*o**4 - 21*o**2 + 3*o. Suppose n(g) = 0. What is g?
0, 1/4, 5, 8
Factor 80/17 + 444/17*y + 22/17*y**2.
2*(y + 20)*(11*y + 2)/17
Suppose 7*l - 39 = -18. Determine h so that 5*h**4 + 12*h + 2*h**l - 4 - h**2 + 9*h**3 - 20*h**3 - 3*h**3 = 0.
-1, 2/5, 1, 2
Let r(m) be the first derivative of 1/7*m**3 + 0*m**2 + 9 - 7*m + 1/42*m**4. Let h(b) be the first derivative of r(b). Factor h(f).
2*f*(f + 3)/7
Let o(y) be the second derivative of -5*y**7/42 - 2*y**6/3 - 3*y**5/4 - 74*y + 13. Factor o(w).
-5*w**3*(w + 1)*(w + 3)
Let j(f) be the third derivative of f**6/420 - 309*f**5/70 - 142*f**2 - 5. Let j(i) = 0. What is i?
0, 927
Suppose 4*a = 5*n - 5 + 12, 0 = a - 2*n - 1. Factor -6765201 - 15606*y**2 + 14*y**4 - 530604*y - 15*y**4 - 152*y**a - 52*y**3.
-(y + 51)**4
What is m in -58*m**3 - 8/17*m**4 + 88074/17*m - 28974/17*m**2 + 23814/17 = 0?
-63, -1/4, 3
Let h(n) be the third derivative of 1/192*n**4 + 1/24*n**3 - 1/240*n**5 + 0*n - n**2 - 1/960*n**6 - 8. Suppose h(f) = 0. Calculate f.
-2, -1, 1
Let i(g) be the first derivative of 0*g + 49 + 4/9*g**4 + 14/27*g**3 + 0*g**2. What is v in i(v) = 0?
-7/8, 0
Suppose -2*m = -5*p + 22, m - 25 = -5*p + 6*m. Suppose -b + 4*r = -23, 16 - 20 = 2*b + 2*r. Factor 12*w**p + 3*w**3 - 9*w**2 + w - 7*w + b*w**5 - 3*w**4.
3*w*(w - 1)*(w + 1)**2*(w + 2)
What is p in 16/3*p + 11/6*p**2 + 1/6*p**3 + 14/3 = 0?
-7, -2
Let k(r) be the third derivative of -r**5/240 + 11*r**4/16 - 363*r**3/8 - 1223*r**2. Find g, given that k(g) = 0.
33
Let t(j) be the second derivative of j**7/840 + j**6/60 + 11*j**4 - 167*j. Let m(a) be the third derivative of t(a). Factor m(s).
3*s*(s + 4)
Let b(a) = 3*a**2 + a - 1. Let w(k) = -3*k**2 - 51*k + 72. Let i(y) = 6*b(y) - w(y). Determine d, given that i(d) = 0.
-26/7, 1
Factor 821/2*r - 674041/4 - 1/4*r**2.
-(r - 821)**2/4
Let k be 24/(9 + -5) - (-84)/(-18). Let c(p) be the first derivati