- 63*v**2 + v - 4. Factor b(w).
(w - 1)*(w + 1)*(w + 96)
Factor 1/11*y**3 + 268320/11*y + 94*y**2 + 532512/11.
(y + 2)*(y + 516)**2/11
Factor -94/5*t**2 + 230*t - 1058/5 + 2/5*t**3.
2*(t - 23)**2*(t - 1)/5
What is q in -132*q - 270 + 3/2*q**2 = 0?
-2, 90
Let f(b) be the second derivative of -26/3*b**3 + b**5 + 2/15*b**6 + 20*b**2 - 1 - b**4 - 39*b. Find a, given that f(a) = 0.
-5, -2, 1
Let m(i) be the third derivative of -i**5/60 - 356*i**4/3 - 1013888*i**3/3 - 407*i**2. Factor m(w).
-(w + 1424)**2
Let g(z) be the first derivative of -z**4/14 + 44*z**3/21 - 40*z**2/7 + 159. Let g(j) = 0. Calculate j.
0, 2, 20
Suppose -3*q - 3*u + 6*u - 15 = 0, -4*u = 5*q - 20. Find a, given that -5*a**2 + a**3 + 21 - 438*a + q*a**3 + 421*a = 0.
-3, 1, 7
Suppose -4*o = -4*n + 16, -3*n + 0*o + 12 = -4*o. Suppose -6*z - 4*z = n*z. Suppose z*y**3 + 2/7*y**5 - 6/7*y**4 + 0*y + 0 + 8/7*y**2 = 0. What is y?
-1, 0, 2
Solve 14/9*i**2 - 14/9 - 2/9*i + 2/9*i**3 = 0 for i.
-7, -1, 1
Let n(y) = 7*y**3 + 132*y**2 - 775*y - 900. Let q(u) = -8*u**3 - 132*u**2 + 772*u + 896. Let j(b) = -4*n(b) - 3*q(b). Solve j(f) = 0 for f.
-38, -1, 6
Let r(j) be the second derivative of 5/36*j**4 - 1/18*j**6 + 0*j**2 + 1/60*j**5 - 1/126*j**7 + 0*j**3 + 0 + 105*j. Find p, given that r(p) = 0.
-5, -1, 0, 1
Let i be 2/(-4)*26 - 2. Let j be i/9*3*4/(-10). Factor 2/9*h**j - 16/9*h + 0.
2*h*(h - 8)/9
Let b be -1 + -2 + -2 + (-8 - -72). Suppose -24*a = -b*a + 105. Factor 0 - 3/5*f**2 - 3*f**a + 3/5*f - 9/5*f**4.
-3*f*(f + 1)**2*(3*f - 1)/5
Let p(r) = 96*r**2 + 28*r**3 - 146*r + 10*r**3 - 34 - 86*r**2. Let z(m) = m**3 + m**2 - m - 1. Let w(k) = -p(k) + 2*z(k). Factor w(y).
-4*(y - 2)*(y + 2)*(9*y + 2)
Let q(y) be the third derivative of -y**6/180 - 163*y**5/360 + 569*y**4/144 - 11*y**3/3 - y**2 + 3462*y. Solve q(u) = 0 for u.
-44, 1/4, 3
Factor 109*f**3 + 11*f**3 + 180*f**2 - 35*f**3 + 16*f - 37*f**3 - 4*f**4 - 240.
-4*(f - 15)*(f - 1)*(f + 2)**2
Suppose -q + 15 = 4*h, -11 = -2*h + 15*q - 12*q. Factor -2/5*z**h + 0 - 486/5*z**2 + 54/5*z**3 + 1458/5*z.
-2*z*(z - 9)**3/5
Let f be (-9)/(-4) + (-182)/(-104). Let d be (-646)/136 + f + (3 - 2). Factor -d*k**3 + 3/2 + 3/2*k**2 - 11/4*k.
-(k - 3)*(k - 2)*(k - 1)/4
Let a(h) = 2*h**2 - 27*h - 17. Let i be a(21). Let o = -296 + i. Determine s, given that -10/9*s**3 + 2/9*s**4 - 14/9*s + 2*s**o + 4/9 = 0.
1, 2
Let f(q) be the third derivative of 1/20*q**5 - 17/6*q**3 + 0 - 21*q**2 - 25/12*q**4 + 7*q. Factor f(i).
(i - 17)*(3*i + 1)
Let o = -411 + 2885/7. Let t = -1925 - -13476/7. Find x, given that t*x**2 + 9/7*x + o = 0.
-8, -1
Let k be (345/644 + (-8)/32)/(1/6). What is p in -k*p**2 - 4/7*p**3 + 24/7*p + 32/7 = 0?
-4, -1, 2
Suppose -3220*j = -208253 - 87987. Factor -j*s**2 - 4/3*s**3 + 4900/3 - 1540*s.
-4*(s - 1)*(s + 35)**2/3
Let m(h) be the first derivative of 2*h**3/27 - 212*h**2/9 - 142*h/3 + 2925. Suppose m(g) = 0. What is g?
-1, 213
Let q(n) be the second derivative of -5*n**4/12 + 2360*n**3/3 - 556960*n**2 - 1676*n. Factor q(u).
-5*(u - 472)**2
Let d(z) be the third derivative of 28561*z**7/525 + 4394*z**6/25 + 6084*z**5/25 + 936*z**4/5 + 432*z**3/5 - 389*z**2 - 2. Factor d(k).
2*(13*k + 6)**4/5
Solve -16*z**2 + 1504*z**4 + 714*z**5 - 252*z**4 - 20526351*z**3 + 20525991*z**3 = 0.
-2, -2/51, 0, 2/7
Let t(y) be the first derivative of -1/2*y**3 + y**2 + 9*y + 1/12*y**4 + 8. Let c(v) be the first derivative of t(v). Let c(h) = 0. Calculate h.
1, 2
Let l(y) be the third derivative of y**5/40 - 383*y**4 + 2347024*y**3 - y**2 + 2. Suppose l(u) = 0. What is u?
3064
Suppose -3*o = -2*h - 4*o - 4, -4*o - 10 = 2*h. Let a be ((0 + 0)/(-4))/h. Suppose 0*m + a + 3/5*m**4 + 9/5*m**2 - 12/5*m**3 = 0. Calculate m.
0, 1, 3
Find j, given that 27*j + 51/2*j**2 - 3/4*j**5 - 51/4*j**3 - 9*j**4 - 30 = 0.
-10, -2, 1
Factor 5392/9*u - 2/9*u**3 - 3616/3 - 662/9*u**2.
-2*(u - 4)**2*(u + 339)/9
Let g(r) = r + 7. Let w be g(-4). Suppose -m - m + m**2 - 3*m**2 + w*m**2 = 0. Calculate m.
0, 2
Factor 70*g**3 + 552*g - 240 + 16 - 13088*g**4 - 372*g**2 + 13091*g**4.
(g - 2)**2*(g + 28)*(3*g - 2)
Let c be (100/(-105))/(32/(-28)). Let o(h) be the second derivative of 4/3*h**3 + 0 + 1/10*h**5 + 0*h**2 - c*h**4 - 31*h. Suppose o(x) = 0. What is x?
0, 1, 4
Let m(c) be the first derivative of 4*c**5/5 + 12*c**4 + 152*c**3/3 + 24*c**2 - 252*c + 1161. Determine k so that m(k) = 0.
-7, -3, 1
Let x = -81/1589 + 38541/7945. Factor -18/5 + 39/5*j - x*j**2 + 3/5*j**3.
3*(j - 6)*(j - 1)**2/5
Let h(w) be the third derivative of 1/108*w**4 - 1/540*w**6 - 11/270*w**5 + 0*w - 8 + 11/27*w**3 + 2*w**2. Determine p, given that h(p) = 0.
-11, -1, 1
Let w = -8 + 27. Let c = w + 1. Find u such that c*u + 6*u**2 - 2*u**3 + 3*u**2 - 3*u**3 + 6*u**2 = 0.
-1, 0, 4
Let k(l) = -l**2 - 14*l + 3. Let s(r) = r + 1. Let q(d) = -k(d) + 5*s(d). Let v be q(-19). Suppose 7*c + 732*c**v - 731*c**2 + 2 + 4 = 0. What is c?
-6, -1
Let z be -47*(15/6)/5*2. Let d = z + 50. What is c in 4*c**d - 5*c**2 - 5*c**3 + 0*c**3 = 0?
-5, 0
Suppose 2*b - 907 + 331 = 0. Factor 57 - b*q - 3*q**2 + 234*q + 0*q**2.
-3*(q - 1)*(q + 19)
Let u(q) be the first derivative of -10*q**6 - 778*q**5/15 - 59*q**4/3 - 16*q**3/9 - 2653. Let u(a) = 0. Calculate a.
-4, -2/9, -1/10, 0
Let z(g) = 124*g**3 + 617*g**2 + 79. Let t be z(-5). Factor -2/5*c**2 - 2/5*c**t - 2/5*c + 14/15*c**3 + 4/15.
-2*(c - 1)**3*(3*c + 2)/15
Let m(p) be the first derivative of -2*p**5/5 + 23*p**4/2 + 266*p**3/3 + 193*p**2 + 168*p - 177. Determine g so that m(g) = 0.
-3, -1, 28
Suppose -2*x + 3*m + 24 = -0*x, -m + 2 = 0. Let p = 17 - x. Factor -19*s + 12 + 6*s**p + 6*s**2 + 3*s**3 - 5*s**3 - 3*s.
-2*(s - 3)*(s - 2)*(s - 1)
Let l be (-2)/((-471)/84 - -4). Let o(j) be the first derivative of -4 - 1/5*j**2 - 56/75*j**5 - l*j**3 + 4/15*j + 19/10*j**4. Let o(i) = 0. What is i?
-1/4, 2/7, 1
Let f(z) = -z**2 - 3*z - 2. Let o(n) = -161*n**2 + 87195*n - 11732166. Let b(q) = -2*f(q) - 2*o(q). Factor b(g).
4*(9*g - 2422)**2
Let s(h) be the first derivative of 5*h**4 + 5/6*h**6 + 0*h**2 + 0*h**3 - 21 + 0*h - 4*h**5. Factor s(u).
5*u**3*(u - 2)**2
Find b such that 925 + b**4 + 48*b**3 + 119*b + 73*b + 183*b**2 + 1128*b + 259*b**2 = 0.
-37, -5, -1
Let c = -4151949/8 - -518994. Factor 9/8*y + 3/4 + c*y**2.
3*(y + 1)*(y + 2)/8
Let s(z) be the second derivative of -z**7/42 - 23*z**6/15 + 707*z**5/20 - 857*z**4/3 + 3272*z**3/3 - 1888*z**2 - 5071*z. Factor s(v).
-(v - 4)**3*(v - 1)*(v + 59)
Let r(c) be the second derivative of -c**5/30 + 10*c**4/9 + 44*c**3/9 + 113*c + 10. Factor r(t).
-2*t*(t - 22)*(t + 2)/3
Let k(g) = g**2 - 8*g - 3009. Let h be k(59). Factor 1/4*u**2 + 1/2*u + h.
u*(u + 2)/4
Factor 0 + 3/5*h**3 + 1044/5*h + 357/5*h**2.
3*h*(h + 3)*(h + 116)/5
Let y = -22841/8 + 22853/8. Let -12 + y*s**2 - 21/2*s = 0. Calculate s.
-1, 8
Let b = -93 - -93. Suppose b = -i + 6*i - 15. What is v in 20*v**2 - 48*v + 4*v**2 - 3*v**i + 0*v**3 = 0?
0, 4
Let x(j) be the first derivative of -14/15*j**3 + 0*j + 1/10*j**4 - 8/5*j**2 - 21. Factor x(n).
2*n*(n - 8)*(n + 1)/5
Let h(c) be the first derivative of 2*c**5/55 - c**4/22 - 8*c**3/11 + 28*c**2/11 - 32*c/11 - 6148. Let h(f) = 0. What is f?
-4, 1, 2
Let t(v) be the first derivative of v**5/6 + 25*v**4/12 - 5*v**3/18 - 25*v**2/6 - 3705. Factor t(h).
5*h*(h - 1)*(h + 1)*(h + 10)/6
Suppose q = -3*i - 6, 7*q - 2*q - 27 = 4*i. Let b = 428 - 2139/5. Let b*y**q + 0*y**2 - 3/5*y - 2/5 = 0. Calculate y.
-1, 2
Let j be 144/(-27)*((-69108)/16)/(-13). Let o = j - -5318/3. Factor 2/3*i**2 + 4*i - 8/3*i**3 + 0 + o*i**4.
2*i*(i - 3)*(i - 2)*(i + 1)/3
Suppose 0 = -6*d + 230 - 242. Let u(r) = r - 1. Let p(h) = 2*h**2 + 21*h - 51. Let s(a) = d*p(a) - 2*u(a). Suppose s(q) = 0. Calculate q.
-13, 2
Let k(o) be the second derivative of 1/4*o**3 + 16*o - 1/2*o**2 - 3 + 0*o**4 - 1/40*o**5. Factor k(c).
-(c - 1)**2*(c + 2)/2
Let c(k) be the second derivative of -k**7/630 - k**6/10 - 27*k**5/10 + 19*k**4/6 - 20*k. Let g(l) be the third derivative of c(l). Factor g(z).
-4*(z + 9)**2
Let k(i) be the second derivative of -i**7/147 + 13*i**6/35 - 107*i**5/14 + 879*i**4/14 + 1760*i**3/21 - 36300*i**2/7 + 1958*i - 1. Solve k(m) = 0.
-3, 10, 11
Let m(r) = -r**5 - 2*r**3 + r**2. Let t(z) = -31*z**5 + 110*z**4 + 98*z**3 - 154*z**2 - 85*z + 50. Let f(i) = -6*m(i) + t(i). Find k, given 