- 22)*(t + 20)/7
Factor 2*i**3 + 0 - 119/3*i**2 - 20/3*i.
i*(i - 20)*(6*i + 1)/3
Let h be 9/2 + 95/(-10) + 7 - 0. Let c be (-2 + -5)/(2*-2). Factor -4*v + 1 + c*v**h.
(v - 2)*(7*v - 2)/4
Let r(o) = 5*o**2 + 2*o - 1. Suppose 24*j - 23*j = 6. Let y(w) = -8*w**2 - 3*w + 1. Let a(x) = j*y(x) + 10*r(x). Factor a(q).
2*(q - 1)*(q + 2)
Let v(b) be the first derivative of b**5 + 80*b**4 + 3565*b**3/3 + 1625*b**2 - 7097. Let v(p) = 0. What is p?
-50, -13, -1, 0
Let x(r) be the second derivative of 0 - 94*r - 1/4*r**4 + 1/10*r**6 + 3/20*r**5 + 0*r**2 - 1/2*r**3. Solve x(n) = 0.
-1, 0, 1
Suppose 37/4*o**4 + 0 - 1/4*o**5 - 209/4*o**3 + 105/2*o - 37/4*o**2 = 0. What is o?
-1, 0, 1, 7, 30
Suppose a - 35 = -156*t + 152*t, -a + 43 = 5*t. Factor -8*b - 4/3 - 4*b**4 - 16*b**2 - 40/3*b**a.
-4*(b + 1)**3*(3*b + 1)/3
Factor -178/7*c**2 + 176/7*c + 0 + 2/7*c**3.
2*c*(c - 88)*(c - 1)/7
Let k be ((-215)/25 - -2) + -6. Let p = 209/15 + k. Determine r so that 0 + 50/3*r**5 + 0*r - 40*r**4 + 14*r**3 - p*r**2 = 0.
0, 1/5, 2
Let b(l) be the second derivative of 5*l**4/12 + 125*l**3/2 + 1340*l**2 + 3260*l. Determine c so that b(c) = 0.
-67, -8
Let s(u) = u**3 + 391*u**2 + 37635*u + 37253. Let g(t) = -2*t**3 - 781*t**2 - 75270*t - 74505. Let v(p) = 4*g(p) + 7*s(p). Factor v(b).
-(b + 1)*(b + 193)**2
Let p(z) be the second derivative of z**5/80 - 3*z**4/16 + z**3 + 33*z**2/2 - 15*z. Let h(x) be the first derivative of p(x). Factor h(v).
3*(v - 4)*(v - 2)/4
Let v(f) be the first derivative of 686*f**5/15 + 49*f**4 - 1120*f**3/3 + 1450*f**2/3 - 250*f - 5110. Find p such that v(p) = 0.
-3, 5/7
Let o = -556806/7 - -79544. Factor o*z**2 + 32/7 + 20/7*z.
2*(z + 2)*(z + 8)/7
Let v(x) = 46*x + 414. Let h be v(-9). Let o(i) be the third derivative of -1/6*i**5 - 8*i**2 - 5/8*i**4 + h*i + 1/24*i**6 + 0 + 0*i**3. Factor o(s).
5*s*(s - 3)*(s + 1)
Suppose 431*v = -26500 + 29086. Factor v*i**2 + 0 - 4*i**3 - 8/3*i + 2/3*i**4.
2*i*(i - 4)*(i - 1)**2/3
Let w be (-75)/(-10)*14/35. Let k(a) be the second derivative of 7/6*a**3 - a**2 + w*a - 2/3*a**4 + 3/20*a**5 + 0. Factor k(i).
(i - 1)**2*(3*i - 2)
Let m = -333679/3 + 333704/3. Find h, given that 25/3*h**4 - m*h**2 - 5*h**3 + 5*h + 0 = 0.
-1, 0, 3/5, 1
Suppose -j + 10 = r, 34*r = 33*r - 4*j + 13. Let n be 10 + 0/(3/1). Factor -o + n - r*o + 4 + 1 - 5*o**2.
-5*(o - 1)*(o + 3)
Let l(c) = 6*c + 166. Let q be l(-27). Factor f**5 - 4*f**4 + 10*f**4 - 3*f**3 + 2*f - f**2 - 5*f**q + 0*f**5.
f*(f - 1)**2*(f + 1)*(f + 2)
What is v in 296/3*v - 8/21*v**4 + 244/21*v**2 + 2/21*v**5 - 6*v**3 + 112 = 0?
-6, -2, 7
Let m(c) be the second derivative of -c**5/5 + 13*c**4/3 + 28*c**3/3 + 1497*c. What is g in m(g) = 0?
-1, 0, 14
Let v be 27/21 - (11346/(-434) + 26). Suppose -2*p - 14 = 4*l, 29 = 3*p - 0*p - 4*l. Let 0*f + 0 - 25/7*f**p + v*f**4 + 0*f**2 - 1/7*f**5 = 0. What is f?
0, 5
Suppose 240 = -35*y - 5*y. Let u(q) = q**2 + 9*q + 20. Let r be u(y). Suppose 1/5*g**r + 5 + 2*g = 0. What is g?
-5
Let n(r) be the second derivative of r**7/14 - 17*r**6/15 + 29*r**5/5 - 55*r**4/6 + 25*r**3/6 + 7298*r. Solve n(f) = 0 for f.
0, 1/3, 1, 5
Suppose 4*f - 2*r = -38, -2*f = -5*f + 3*r - 33. Let a be -2*(-1 + (-4)/f + -1). Let -6/7*u**a + 0 + 3/7*u + 0*u**4 + 0*u**2 + 3/7*u**5 = 0. Calculate u.
-1, 0, 1
Let u = 28649/594 - 1101/22. Let m = 11/351 - u. Factor -16/13 + 2/13*l**3 + m*l - 12/13*l**2.
2*(l - 2)**3/13
Determine l, given that 3172 + 1270*l + 1914 + 5*l**2 - 1321 = 0.
-251, -3
Factor 500/9*g**3 - 13448 - 2/9*g**4 - 32234/9*g**2 + 41000/3*g.
-2*(g - 123)**2*(g - 2)**2/9
Let s(t) be the second derivative of -t**4/54 - 3346*t**3/27 - 2798929*t**2/9 - 5479*t. Solve s(i) = 0 for i.
-1673
Let n = 7211 - 7206. Let s(m) be the second derivative of -1/114*m**4 + 0*m**2 + 2/19*m**3 - 18*m - 1/190*m**n + 0. Suppose s(b) = 0. What is b?
-3, 0, 2
Let l(b) = 26*b**4 - 289*b**3 + 909*b**2 - 597*b - 7. Let d(t) = -22*t**4 + 290*t**3 - 908*t**2 + 598*t + 6. Let w(c) = 7*d(c) + 6*l(c). Factor w(m).
2*m*(m - 2)*(m - 1)*(m + 151)
Suppose -46 + 170 + 152 = 92*b. Let h(k) be the third derivative of -1/39*k**b - 1/156*k**4 + 0 + 0*k + 11*k**2 + 1/780*k**6 + 1/390*k**5. Factor h(i).
2*(i - 1)*(i + 1)**2/13
Let p = -17/4 - -67/12. Let o(h) be the second derivative of 0 + 8*h**2 + 1/12*h**4 - p*h**3 - 6*h. Factor o(i).
(i - 4)**2
Suppose f - 178*z = -180*z - 8, -4*z = 4*f + 12. Solve f*d + 4/7 - 8/7*d**2 = 0.
-1/4, 2
Let q = -289/231 - -71669/1155. Factor 11552/5 + 2/5*p**2 + q*p.
2*(p + 76)**2/5
Suppose -b + 23 = 2*y, 5*y + 3*b - 38 - 22 = 0. Let h(i) = -2*i**2 + 19*i - 7. Let n be h(y). Solve 16 - 7*m - 5*m + 17*m**2 + 13*m**2 - 34*m**n = 0.
-4, 1
Let v(a) = a**4 - a**3 + a**2 - a - 2. Let x(t) = 3*t**4 - 21*t**3 + 37*t**2 - 19*t - 4. Let f(o) = -6*v(o) + 3*x(o). Factor f(k).
3*k*(k - 17)*(k - 1)**2
Let u(c) be the second derivative of -1/3*c**4 - 2/3*c**3 - 13*c + 2 + 12*c**2. Factor u(x).
-4*(x - 2)*(x + 3)
Suppose 202 = -9*q + 229. Suppose 0 = -3*a + a + t - 4, 2*a + q*t = 12. Determine y so that -8/3*y - 28/3*y**2 + 98/3*y**3 + a + 343/3*y**4 = 0.
-2/7, 0, 2/7
Let u = 449 - 444. Suppose -u*j - 39 = -49. Determine r so that 58/9*r**j + 40/9*r + 32/9*r**3 + 2/3*r**4 + 8/9 = 0.
-2, -1, -1/3
Let u = -1/796862 - -1593737/10359206. Let -u*g**2 - 60/13 - 2*g = 0. Calculate g.
-10, -3
Let b(v) = -v**3 - 38*v**2 - 108*v - 2609. Let h be b(-37). Factor -h*t - 9/4*t**2 + 60 + 3/4*t**3.
3*(t - 4)**2*(t + 5)/4
Let v(b) be the second derivative of b**8/1680 - b**7/105 + b**6/60 + b**5/3 - 131*b**4/12 + 9*b + 2. Let y(j) be the third derivative of v(j). Factor y(a).
4*(a - 5)*(a - 2)*(a + 1)
Let z(t) = -t**3 - 2*t**2 - t. Let k = 143 + -144. Let b(d) = 30*d**3 + 70*d**2 - 20*d - 180. Let u(m) = k*b(m) - 25*z(m). Factor u(p).
-5*(p - 3)*(p + 3)*(p + 4)
Let y(j) = j**3 + 6*j**2 - 8*j + 1. Let l be y(3). Solve -9*u**3 - l*u**2 + 4*u**3 + 115 - 235*u + 183*u**2 = 0.
1, 23
Let s = 4898 + -4878. Suppose -12 = -5*y + y. Factor -22 + 10*w**2 - w**3 - 16 + s + 6*w + 3*w**y.
2*(w - 1)*(w + 3)**2
Let x be ((-36)/6)/(-9 + 8 + -7 + 94/(-4)). Solve 0*l - x*l**2 + 0 + 2/21*l**3 = 0 for l.
0, 2
Factor -336 + 22/5*d + 2/5*d**2.
2*(d - 24)*(d + 35)/5
Let g = -3686 + 3689. Let z(t) be the first derivative of 1/9*t**2 - 4/9*t + 9 + 2/27*t**g. Determine j, given that z(j) = 0.
-2, 1
Suppose -24*l = -6*l + 13950. Let j = l + 3103/4. Determine t so that 3/8*t**2 - j - 3/8*t = 0.
-1, 2
Suppose -3*z + c = -c - 96, -2*z - 5*c = -64. Factor -1235*u**3 - 336*u + 440*u**2 - z - 137*u**3 - 1616*u**2.
-4*(7*u + 2)**3
Let h(k) = 6*k**3 + k - 2. Let c(g) = -33*g**3 + 321*g**2 + 1141*g + 983. Let i(b) = c(b) + 4*h(b). Factor i(z).
-(z - 39)*(3*z + 5)**2
Let g(v) = -5*v**2 - 45*v - 45. Let h(j) = 3*j**2 - 2 + 0 + 15 + 22*j + 9. Let f = -194 + 189. Let l(n) = f*h(n) - 2*g(n). Factor l(t).
-5*(t + 2)**2
Let a(u) be the second derivative of -u**5/80 + 15*u**4/16 + 17*u**3 + 106*u**2 - 3*u + 3864. Factor a(c).
-(c - 53)*(c + 4)**2/4
Let n be 228/(-266) - (-18)/21. Let w(i) be the second derivative of 0 + n*i**3 + 0*i**2 + 1/10*i**5 + i + 1/6*i**4. Factor w(x).
2*x**2*(x + 1)
Let 430/3 - 195*m + 155/3*m**2 = 0. Calculate m.
1, 86/31
Let d(j) be the second derivative of -j**5/10 + 16*j**4/3 + 67*j**3/3 + 34*j**2 + 2590*j. Factor d(q).
-2*(q - 34)*(q + 1)**2
Let f = 510 - 498. Suppose 24 = 6*k + f. Determine i, given that 3/5 - 3/5*i**3 + i**k + 11/5*i = 0.
-1, -1/3, 3
Let g(f) = -f**3 - 2*f**2 - 2*f + 1. Let j be g(-3). Let -54*i**3 + 20 + 20*i - 45*i**2 + 19*i**3 + j*i**5 + 25*i**4 - i**5 = 0. What is i?
-2, -1, -2/3, 1
Let g(n) be the second derivative of 3*n**5/20 + 14*n**4 + 155*n**3/2 - 318*n**2 - 11*n + 474. Factor g(z).
3*(z - 1)*(z + 4)*(z + 53)
Let x(o) be the second derivative of 0 + 5/2*o**2 - 2/3*o**3 + 55*o - 1/12*o**4. Solve x(l) = 0 for l.
-5, 1
Let u = -18 + 21. Suppose -4*l - 4*i + 28 = 0, -2*l - u*i + 0*i + 18 = 0. What is a in 2*a**4 + 5*a**5 - 5*a**2 - 34*a**l + 10*a + 19*a**3 + 3*a**4 = 0?
-2, -1, 0, 1
Let d(i) = 44 - 48 + 4*i**2 + 5*i - 3*i**2. Let w be d(-6). Determine x so that 30*x**3 - 6*x**4 - 9*x**4 + 21 + 15*x - 11*x**w - 19*x**2 - 24 + 3*x**5 = 0.
1
Let y(o) be the second derivative of o**6/40 + o**5/5 - 19*o**4/8 + 7*o**3 + 9*o**2 - 93*o. Let f(x) be the first derivative of y(x). Let f(n) = 0. Calcu