 be the third derivative of -w**8/1344 - w**7/168 + w**6/32 + w**5/48 - 7*w**4/48 + 2*w**2 + 1982. What is t in z(t) = 0?
-7, -1, 0, 1, 2
Suppose t = -82*u + 79*u + 673, -3*u - 4*t + 658 = 0. Let -222*n**3 + 8*n**2 + n + u*n**3 - 13*n = 0. Calculate n.
-3, 0, 1
Let o(y) be the first derivative of -y**6/9 + 244*y**5/45 + 41*y**4/18 - 632. Determine c, given that o(c) = 0.
-1/3, 0, 41
Let z be 1/(-7)*(-1 - -8 - 36) - (2 - -2). Suppose 1089/7 + z*v**2 + 66/7*v = 0. What is v?
-33
Let p(k) = -2*k**3 - 203*k**2 + 758*k + 2415. Let i be p(-105). Find o such that i - 7*o - 1/2*o**2 = 0.
-14, 0
Factor 42*r**2 + 692*r**2 + 20*r**2 - 48*r**2 + 2120*r + 6.
2*(r + 3)*(353*r + 1)
Let y = -311925 + 311927. Factor 3698/3 + 2/3*u**y + 172/3*u.
2*(u + 43)**2/3
What is h in -16 - 244/3*h - 20/3*h**2 = 0?
-12, -1/5
Let o be ((-1536)/(-160) + 12)/4. Suppose -3/5*z**3 + o - 3/5*z**2 + 27/5*z = 0. What is z?
-3, -1, 3
Let i(h) be the second derivative of h**6/24 - 7*h**5/4 + 325*h**4/24 + 145*h**3/2 + 945*h**2/8 + 11*h - 82. Find u such that i(u) = 0.
-1, 9, 21
Let x(z) = 3*z**3. Let v(s) = -2*s**3 + 18*s**2 + 105*s + 196. Let d(m) = -v(m) - x(m). Factor d(h).
-(h + 4)*(h + 7)**2
Let m(y) be the first derivative of y**6/9 + 34*y**5/15 + 8*y**4/3 + 815. Factor m(z).
2*z**3*(z + 1)*(z + 16)/3
Let l(d) = d**2 + 9*d - 162. Let m be l(-18). Let q(g) be the third derivative of 1/12*g**5 + 0*g + 3*g**2 + 5/8*g**4 + m - 10/3*g**3. Factor q(r).
5*(r - 1)*(r + 4)
Let h(j) be the third derivative of -13*j**5/30 + 5*j**4/4 + 28*j**3/3 - 10*j**2 + 73. Factor h(m).
-2*(m + 1)*(13*m - 28)
Let x be 2*(-10)/(-5)*6/(-4). Let q be (-7 - -9)*(1 + (-3)/x). Factor -30 + 20*f + q*f - 5*f**3 + 12*f.
-5*(f - 2)*(f - 1)*(f + 3)
Let z(q) = -6*q**2 - 267*q - 902. Let t(u) = 11*u**2 + 529*u + 1810. Let o(g) = 7*t(g) + 13*z(g). What is c in o(c) = 0?
-4, 236
Let w = -265838/5 - -53168. Factor -w + 7/5*j - j**2.
-(j - 1)*(5*j - 2)/5
Factor -4/3*o**5 + 1616/3*o**3 + 800/3*o**4 + 0 + 0*o + 0*o**2.
-4*o**3*(o - 202)*(o + 2)/3
Let x(p) be the first derivative of 1/45*p**5 - 1/4*p**4 - 90 + 2*p + 29/27*p**3 - 13/6*p**2. Factor x(f).
(f - 3)**2*(f - 2)*(f - 1)/9
Let v(a) be the first derivative of -2/51*a**3 - 1/34*a**4 + 0*a**2 + 0*a + 2/85*a**5 - 21 + 1/51*a**6. Let v(q) = 0. What is q?
-1, 0, 1
Let l(z) = -6*z**2 + 497*z + 85. Let t be l(83). Suppose -s = 2*p, -2*s + 4*s = -2*p. Solve -4/5*i + 2/5*i**t + s + 2/5*i**3 = 0.
-2, 0, 1
Let d(z) = 205*z - 1005. Suppose -7*q + 16 + 19 = 0. Let m(u) = u**2 + 103*u - 503. Let l(r) = q*m(r) - 3*d(r). Factor l(s).
5*(s - 10)**2
Factor 9826 - u**2 - 8131 - 4*u**2 - 1690*u.
-5*(u - 1)*(u + 339)
Let k(m) be the first derivative of 2*m**3/45 + 688*m**2/15 + 236672*m/15 + 4781. Find f such that k(f) = 0.
-344
Let s = 5/397 - -1141/3970. Let l(c) be the second derivative of 0 - 8*c - 1/2*c**3 + 5/8*c**4 + 1/20*c**6 + 0*c**2 - s*c**5. Solve l(x) = 0 for x.
0, 1, 2
Let n(y) = 3*y**2 + 3*y + 14. Let f(b) = 4*b**2 + b + 16. Let r(z) = z**3 + 12*z**2 - 15*z - 24. Let t be r(-13). Let x(l) = t*f(l) - 3*n(l). Factor x(j).
-(j + 2)*(j + 5)
Let o be 3/6*-12 + (-6 - (0 - 90/6)). Solve 1/9*c**o + 40/9 + 2/3*c**2 - 4*c = 0.
-10, 2
Let g(q) = -10 + q - 2*q**2 + q**2 - 7 + 16. Let l(t) = -8*t - 30. Let z(s) = 4*g(s) - 2*l(s). Factor z(k).
-4*(k - 7)*(k + 2)
Let y(h) be the third derivative of h**7/2100 - 11*h**6/600 + 4*h**5/25 - 387*h**2 - 9*h. Determine c so that y(c) = 0.
0, 6, 16
Let q(f) be the first derivative of -8*f**5/5 - 5*f**4/2 + 2*f**3 + 5*f**2 + 2*f + 944. Suppose q(z) = 0. What is z?
-1, -1/4, 1
Let r be 0/(-10)*(3 + -2). Let d(g) be the second derivative of -5/12*g**4 + 1/4*g**5 + r + 0*g**2 + 8*g + 0*g**3. Factor d(b).
5*b**2*(b - 1)
Solve -20*v + 1888/11 - 2/11*v**2 = 0 for v.
-118, 8
Let g be -26 + (-5340)/(-165) + -6. What is d in 0 + 24/11*d**4 + 0*d + 10/11*d**5 + g*d**2 + 18/11*d**3 = 0?
-1, -2/5, 0
Let y(k) = -k**3 - 14*k**2 + 15*k + 2. Let l be y(-15). Factor -241*b**3 + 5579*b**2 - 259*b**3 + 5*b**4 + 6921*b**l.
5*b**2*(b - 50)**2
Let g(q) be the third derivative of 0*q**5 + 0*q + 0 + 1/210*q**6 + 32*q**2 - 1/735*q**7 - 1/42*q**4 + 1/21*q**3. Find h such that g(h) = 0.
-1, 1
Let r(h) = -h**3 + 31*h**2 + 66*h + 2. Let z be r(33). Factor -3*j - 30 + 12*j + 5689*j**2 - 5686*j**z.
3*(j - 2)*(j + 5)
Let p(g) = 18*g - 67. Let h be p(4). Let m(b) = 13*b**3 + 23*b**2 + 31*b + 7. Let z(o) = 9*o**3 + 15*o**2 + 21*o + 5. Let t(l) = h*m(l) - 7*z(l). Factor t(u).
2*u*(u + 1)*(u + 4)
Factor -9028*f**4 + 4517*f**4 - 2*f**3 + 89*f**2 + 4510*f**4 + 90*f.
-f*(f - 9)*(f + 1)*(f + 10)
Determine o, given that -7/6*o**2 + 41/6*o - 10 = 0.
20/7, 3
Let x(u) be the third derivative of 19/30*u**5 - 7/20*u**6 + 0*u**3 - 1/168*u**8 + u**2 - 13 + 0*u + 3/35*u**7 - 1/2*u**4. Factor x(b).
-2*b*(b - 6)*(b - 1)**3
Suppose 3*i - 3*f = -1233, -3*i - 1235 = -f - 3*f. Let y = -409 - i. Factor y*b - 3/2*b**4 - 3*b**2 - 3/4*b**5 + 0 + 21/4*b**3.
-3*b**2*(b - 1)**2*(b + 4)/4
Let a be (6 + -8)/((-1)/4) + (-77 - -72). Suppose -r + 2 = -0*r. Find t, given that -3*t**r + 0 + 3*t + 3/4*t**a = 0.
0, 2
Let r be 1 + 5 - -37*(-138)/1702. Solve 4/3*y**r - 20/3*y**2 + 0 + 0*y = 0 for y.
0, 5
Factor 1/3*s**4 - 7139/3*s + 297*s**2 + 21296/3 - 49/3*s**3.
(s - 16)*(s - 11)**3/3
Let x(k) = 47*k**2 - 484*k + 1110. Let g(r) = -12*r**2 + 122*r - 276. Let z(m) = 18*g(m) + 4*x(m). Factor z(p).
-4*(p - 3)*(7*p - 44)
Factor 770 - 6268 + 4*w**3 - 1130*w**2 + 898 + 4580*w + 3*w**3 - 12*w**3.
-5*(w - 2)**2*(w + 230)
Let o be (3 - (2 + -1))*1. Solve 4*z**3 + 10*z + 6*z - 8*z - 12*z**o = 0 for z.
0, 1, 2
Let n(k) = -8*k**2 + 0*k**2 + 31711 + 0*k**2 - 31642 + 58*k. Let i(w) = 9*w**2 - 59*w - 72. Let m(b) = -3*i(b) - 4*n(b). Let m(u) = 0. Calculate u.
-1, 12
Let f(y) be the second derivative of -y**5/20 - y**4/6 + 16*y**3 - 144*y**2 - 2144*y. Factor f(w).
-(w - 6)*(w - 4)*(w + 12)
Let w be -4*(95/(-10) + 9). Let g(o) be the second derivative of 17*o + 1/4*o**4 + 0 + 3/20*o**5 + 0*o**3 + 0*o**w. Solve g(h) = 0 for h.
-1, 0
Let q(s) be the third derivative of -s**7/1260 - 53*s**6/720 - 103*s**5/360 - 17*s**4/48 + 1311*s**2. Find g, given that q(g) = 0.
-51, -1, 0
Let i(u) be the first derivative of 2*u**7/315 + u**6/5 + 9*u**5/5 + 283*u**2/2 + 17. Let n(m) be the second derivative of i(m). Factor n(y).
4*y**2*(y + 9)**2/3
Suppose -2220/11 - 19298/11*h**2 + 24/11*h**5 + 15274/11*h**3 - 4522/11*h**4 + 10742/11*h = 0. Calculate h.
2/3, 3/4, 1, 185
Let c(j) = 3*j**3 - 784*j**2 - 10*j + 5. Let p(t) = -3*t**3 + 783*t**2 + 12*t - 6. Let r(x) = 6*c(x) + 5*p(x). Factor r(o).
3*o**2*(o - 263)
Suppose 4713*o**2 + 4*o**5 - 10223*o - 980*o**3 - 465*o + 4*o**4 + 3554*o**2 + 4864 - 1471*o**2 = 0. What is o?
-19, 1, 8
Factor -2/3*y**2 + 156 + 34/3*y.
-2*(y - 26)*(y + 9)/3
Suppose 15 = -137*r - 46 + 70 + 265. Find c, given that -2809/8 - 1/8*c**r + 53/4*c = 0.
53
Factor 88*y**3 + 3*y + 89*y**3 + 92*y**3 - 6*y**2 - 272*y**3 + 6.
-3*(y - 1)*(y + 1)*(y + 2)
Let -12*y**2 - 192/5 - 1/5*y**5 - 16/5*y**3 + 9/5*y**4 + 224/5*y = 0. Calculate y.
-3, 2, 4
Let x be (26/(3/3))/2. Let n = 29 - x. Determine j so that 5*j**3 + 3*j**3 + 12*j**4 + 3*j**5 - n*j**4 - 7*j**5 = 0.
-2, 0, 1
Determine u so that -92/7*u**3 - 176/7*u**2 + 8/7 - 76/7*u = 0.
-1, 2/23
Let i(m) = 125*m**3 + 42490*m**2 + 4312620*m + 2856320. Let x(l) = 18*l**3 + 6070*l**2 + 616088*l + 408046. Let j(t) = 3*i(t) - 20*x(t). Factor j(o).
5*(o + 202)**2*(3*o + 2)
Let d be 44 - 43 - 1*-2. What is x in -51*x**2 - 198*x**5 + 6*x**4 - 39*x + 195*x**5 + 9*x**4 + 3*x**3 + d*x = 0?
-1, 0, 3, 4
Let j = 9895 + -49474/5. Suppose -j*p**2 + p - 3/5 - 1/5*p**3 = 0. Calculate p.
-3, 1
Let x(w) be the second derivative of w**7/98 + w**6/70 - 477*w**5/140 + 311*w**4/28 - 11*w**3 - 11*w - 369. Suppose x(n) = 0. Calculate n.
-14, 0, 1, 11
Solve 0 + 8/5*s - 1032/5*s**2 + 33282/5*s**3 = 0 for s.
0, 2/129
Let n(d) be the second derivative of -d**6/30 - 389*d**5 - 3783025*d**4/2 - 14715967250*d**3/3 - 14311278150625*d**2/2 - 2790*d. Factor n(b).
-(b + 1945)**4
Find v such that 63/5*v**4 - 12/5*v + 3*v**3 - 3/5*v**5 - 63*v**2 + 252/5 = 0.
-2, -1, 1, 2, 21
Let c be 1272/51 + 31/527. Find n such that 145*n**2 + 37 + 30 - 35*n**5 + 22 + 20*n + 115*n**3 - c*n**4 - 109 = 0.
-1, 2/7, 2
Let t(x) be the third derivati