-2*z**2 + 551*z + 562. Let p(i) = 15*i**2 - 3860*i - 3935. Let r(o) = -3*p(o) - 20*y(o). Determine m, given that r(m) = 0.
-1, 113
Determine o, given that 815*o + 2*o**4 + 783*o**3 - 343*o - 116*o**2 - 805*o**3 - 336 = 0.
-6, 1, 2, 14
Suppose -5*w = 4*b - 30, -4*w + 13 = 5*b - 11. Suppose -13*y + 28 = y. Factor 2*i**3 + w*i**3 - y*i**2 - 10*i**3.
-2*i**2*(i + 1)
Determine d, given that -2*d**3 + 0 + 94/5*d - 84/5*d**2 = 0.
-47/5, 0, 1
Factor -2/3*r**2 + 340/3 - 166/3*r.
-2*(r - 2)*(r + 85)/3
Suppose 140/3 - 4733/9*m**2 - 836/9*m - 5*m**3 = 0. What is m?
-105, -2/5, 2/9
Let h(i) be the second derivative of i**4/120 - 89*i**3/20 + 133*i**2/10 - 642*i + 2. Factor h(d).
(d - 266)*(d - 1)/10
Suppose 0 = -67*f + 199 + 69. Let y(b) be the second derivative of 0 + 1/9*b**2 + 2/27*b**3 + 1/54*b**4 - f*b. Factor y(v).
2*(v + 1)**2/9
Let d(u) be the second derivative of 0 - 23*u - 1/42*u**4 + 3/35*u**5 - 16/7*u**2 - 8/7*u**3 - 1/105*u**6. Suppose d(y) = 0. Calculate y.
-1, 4
Let x(d) be the first derivative of d**5/720 - d**4/48 - 7*d**3/72 + 46*d**2 - 45. Let m(c) be the second derivative of x(c). Factor m(v).
(v - 7)*(v + 1)/12
Suppose -9*s - 12*s + 693 = 0. Suppose 40*m = 37*m - 4*p - 8, -5*p = -2*m + s. Let 3/2 + 1/2*g**m + 3/4*g**3 - 3/2*g**2 - 5/4*g = 0. What is g?
-2, -3/2, 1
Let b = 36677 - 36658. Let x(t) be the first derivative of -2/3*t**3 - 242*t + 22*t**2 + b. What is u in x(u) = 0?
11
Let r(f) be the second derivative of f**5/60 - 11*f**4/6 - 15*f**3/2 + 99*f**2 + 15*f + 4. Let d(u) be the first derivative of r(u). What is v in d(v) = 0?
-1, 45
Factor -23*y**2 + y**3 + 7*y**2 + 14 - 52 + 12*y - 72*y + 5*y.
(y - 19)*(y + 1)*(y + 2)
Let o(l) = 25*l**3 - 100*l**2 + 50*l + 50. Let z(y) = -32*y**3 + 99*y**2 - 48*y - 49. Let t(i) = -6*o(i) - 5*z(i). Find k, given that t(k) = 0.
-11, -1/2, 1
Solve -107/7*n**2 - 1/7*n**4 - 156/7 + 20/7*n**3 + 220/7*n = 0 for n.
2, 3, 13
Solve -64/3 - 13/3*y**4 - 1/3*y**5 - 148/3*y**2 - 64/3*y**3 - 160/3*y = 0 for y.
-4, -2, -1
Let n(d) be the second derivative of -d**6/75 + 38*d**5/5 - 12159*d**4/10 + 23814*d**3/5 + 6310*d. Find r, given that n(r) = 0.
0, 2, 189
Let u(p) = -3*p**3 + p**2 + 31*p - 69. Let f(d) = -d**3 - 3*d**2 + d + 3. Let s(i) = f(i) - u(i). Factor s(x).
2*(x - 3)**2*(x + 4)
Let y(a) be the first derivative of 0*a - 4/25*a**5 + 0*a**2 - 8/15*a**3 + 85 - 3/5*a**4. Determine n so that y(n) = 0.
-2, -1, 0
Let l(i) = -21*i**4 - 2*i**3 + 43*i**2 + 63*i + 34. Let b(a) = 4*a**4 + 2*a**3 - a - 2. Let o(m) = 15*b(m) + 3*l(m). Factor o(p).
-3*(p - 12)*(p + 1)**2*(p + 2)
Let d(g) = 2*g**3 + 4*g**2 + 3*g + 5. Let o be d(3). What is u in -o*u + 48 + 6*u - 12*u**2 - 60*u - 31*u = 0?
-16, 1/4
Let m(b) be the first derivative of -37/3*b**3 + 5/24*b**4 + 5/12*b**5 - 38 + 25/72*b**6 + 0*b + 0*b**2. Let u(w) be the third derivative of m(w). Factor u(d).
5*(5*d + 1)**2
Suppose 0 = 89*d - 87*d + f + 2, -f = -d + 2. What is w in 1/7*w**5 + 0*w + d - 2/7*w**4 + 0*w**2 + 1/7*w**3 = 0?
0, 1
Factor 1318707 + 20*w**3 - 2262*w**2 - 1713*w**2 - 45*w**3 + 28*w**3 + 1314729*w.
3*(w - 663)**2*(w + 1)
Let t(g) be the third derivative of -31*g**2 + 0*g + 1/16*g**6 - 1/1344*g**8 + 2/15*g**5 + 0 + 0*g**3 + 1/105*g**7 + 11/96*g**4. Factor t(r).
-r*(r - 11)*(r + 1)**3/4
Let c(y) be the second derivative of -529*y**5/135 + 23*y**4/27 - 2*y**3/27 - 38*y**2 - 72*y. Let a(k) be the first derivative of c(k). Let a(s) = 0. What is s?
1/23
Let c be (-46)/(-138) - 15/(-9). Let h be (2/(272/(-10)))/((-2)/16). Factor -8/17*r**c - 4/17 + 2/17*r**3 + h*r.
2*(r - 2)*(r - 1)**2/17
Let x(u) = 4*u**2 + 6*u - 125. Let i(f) = f**2 - 4*f - 1. Let w(s) = -5*i(s) + x(s). Suppose w(g) = 0. What is g?
6, 20
Let n(c) = c**2 - 9*c - 13. Let v be n(11). Solve -3 + 51*q - v + 52*q + q**2 - 114*q = 0 for q.
-1, 12
Suppose -6*i - 2*j = -4*i + 2, 4*j + 16 = 0. Let d = 17692/3 + -5889. Factor -35/3*b - 11/3*b**2 - d - 1/3*b**i.
-(b + 1)*(b + 5)**2/3
Let x(i) = -2*i**5 - 23*i**4 + 3*i**2 + 3*i + 3. Let t(m) = m**5 + 21*m**4 - 2*m**2 - 2*m - 2. Let v(q) = -3*t(q) - 2*x(q). Solve v(s) = 0 for s.
0, 17
Let d(t) = -t**3 + 7*t**2 - 2*t - 2. Let g(f) = -164*f**3 - 670*f**2 - 10*f + 2. Let y(m) = d(m) + g(m). Factor y(q).
-3*q*(q + 4)*(55*q + 1)
Factor -5/3*g**5 - 10*g**4 + 60*g**3 + 0 + 0*g - 200/3*g**2.
-5*g**2*(g - 2)**2*(g + 10)/3
Suppose 0 = -6*d - 19 - 17. Let o be (-1190)/(-100) + -10 - d/10. Factor -5 + o*l + 5*l**2 - 5/2*l**3.
-5*(l - 2)*(l - 1)*(l + 1)/2
Let j be 1*-2*(-6)/4. Factor 36*s + 66*s**2 + 114*s**2 + 45*s**j - 108 + 8*s**4 + 23*s**3 + 72*s.
4*(s + 3)**3*(2*s - 1)
Suppose 71/3*c**2 - 29/3*c**3 + 0 - 14*c = 0. Calculate c.
0, 1, 42/29
Let u be 3/(-1) + 14*28/8. Let x = u + -35. Factor 0*a**2 - 10*a + 9*a**2 - x*a**2.
-2*a*(a + 5)
Let f be ((-7310)/(-7))/(-1)*(-21)/35. Let x = f - 626. Let -x - 2/7*j**2 - 6/7*j = 0. What is j?
-2, -1
Let f = 1041/80 + -157/16. Let i(k) be the first derivative of f*k - 1/10*k**4 + 2/15*k**3 + 2*k**2 + 26. Factor i(g).
-2*(g - 4)*(g + 1)*(g + 2)/5
Let i be 35/(-322)*(-5 + 828/30). Let u = i + 114/23. Determine k, given that u*k - 5 + 5*k**2 - 5/2*k**3 = 0.
-1, 1, 2
Let g be (-9024)/21056 + -2 + 17/7. Let l = -467/5 + 95. Factor l*d - 2/5*d**3 + g + 6/5*d**2.
-2*d*(d - 4)*(d + 1)/5
Let r be 4*-1 - (15 + (-44)/2). Let v be 2 + -1*(2 - 2). Determine i so that -6*i - i - r*i - 5*i**v = 0.
-2, 0
Factor 6*m**3 - 45520*m**2 + 45562*m**2 + 8 - 9*m**3 + 100 - 147*m.
-3*(m - 9)*(m - 4)*(m - 1)
Factor s**2 + 1/2*s**4 - 3/2 + 5/2*s - 3*s**3 + 1/2*s**5.
(s - 1)**3*(s + 1)*(s + 3)/2
Let g be 6/(-15)*(-80)/9408. Let o(z) be the second derivative of 0*z**2 + 3/140*z**5 + 0*z**3 - 1/42*z**4 + 0 + 0*z**6 - g*z**7 - 26*z. What is m in o(m) = 0?
-2, 0, 1
Suppose 0 + 126*l**4 - 3/2*l**5 - 2769*l**3 - 5043/2*l + 5166*l**2 = 0. Calculate l.
0, 1, 41
Factor -26676*q**2 - 43941854268 + 4*q**3 + 24695976*q + 20327840*q + 14626564*q + 24358187*q - 24707819*q.
4*(q - 2223)**3
Let h(y) be the second derivative of y**5/4 + 10*y**4/3 - 95*y**3/6 + 25*y**2 - 1593*y. Factor h(q).
5*(q - 1)**2*(q + 10)
Let c(m) be the second derivative of -25/18*m**3 + 131 - 1/3*m**2 + 2*m + 13/36*m**4. Factor c(o).
(o - 2)*(13*o + 1)/3
Let j = 49 - 38. Let 20*p**4 - 5*p**3 + 0*p**4 - 24*p**5 - 8*p**2 + j*p**3 + 6*p**3 = 0. Calculate p.
-2/3, 0, 1/2, 1
Let m(k) be the third derivative of k**5/15 - 279*k**4/2 - k**2 + 2951*k. Factor m(x).
4*x*(x - 837)
Factor 192535*d**2 - 27 + 33089*d**2 + d**4 + 663*d**3 + 224676*d + 27 + 286*d**3.
d*(d + 1)*(d + 474)**2
Let h(t) be the third derivative of t**6/24 + 9*t**5/2 + 775*t**4/24 + 85*t**3 - 2576*t**2. Factor h(j).
5*(j + 1)*(j + 2)*(j + 51)
Find m such that -322*m + 242/3 - 8/3*m**2 = 0.
-121, 1/4
Let z = -534 + 523. Let o(f) = -2*f**2 - 17*f + 58. Let i be o(z). Determine m so that 0 + 2/3*m - i*m**2 = 0.
0, 2/9
Factor 1170450/19 + 3060/19*h + 2/19*h**2.
2*(h + 765)**2/19
Let y(w) be the third derivative of -w**9/12096 + w**7/1008 + w**5/12 + w**3/3 + 3*w**2 - 2*w. Let x(b) be the third derivative of y(b). Solve x(q) = 0.
-1, 0, 1
Let i = -280007/4 - -70002. Find q, given that i*q**3 - 1/4*q**2 - 9/4*q + 9/4 = 0.
-3, 1, 3
Let b(l) be the third derivative of l**3 + l**2 + 0 + 119/120*l**5 + 4/3*l**4 + 5/672*l**8 + 33/80*l**6 + 0*l + 37/420*l**7. Solve b(q) = 0 for q.
-3, -2, -1, -2/5
Let q(j) be the first derivative of -125/4*j - 34 - j**4 - 15/2*j**3 - 1/20*j**5 - 25*j**2. What is t in q(t) = 0?
-5, -1
Suppose 8*y - 97*y - 4*y - 4*y**2 - 43*y - 44*y = 0. What is y?
-45, 0
Let m(q) be the first derivative of 2*q**5/65 + 97*q**4/26 + 1600*q**3/13 + 2304*q**2/13 - 1699. Factor m(k).
2*k*(k + 1)*(k + 48)**2/13
Let c(h) be the second derivative of 5*h**4/4 - 2143*h**3/2 - 1287*h**2 + 7678*h. Suppose c(w) = 0. Calculate w.
-2/5, 429
Let w(d) = -47*d**2 + 538*d + 70241. Let z(h) = 6*h**2 - h - 2. Let c(v) = 3*w(v) + 24*z(v). Factor c(m).
3*(m + 265)**2
Let k be 5520/598 + (-3)/13. Suppose a = -2*m + 2, 17 - k = 4*a + m. Solve -3*o + 0 + 1/2*o**a = 0.
0, 6
Let l(w) be the second derivative of -w**4/48 + 8*w**3 - 1152*w**2 + 1042*w. Factor l(g).
-(g - 96)**2/4
Let c(a) be the first derivative of -33 - 2/15*a**3 + 8/5*a + 0*a**2. What is u in c(u) = 0?
-2, 2
Let f(i) be the first derivative of i**6/18 + 26*i**5/15 + 22*i**4/3 - 224*i**