15*y**2 - 9*y**3 = 0.
-1, 0, 2
Find s, given that 144 - 49*s**3 - 39*s**3 - 50*s**3 + 872*s + 152*s**3 - 420*s**2 - 40*s**3 = 0.
-18, -2/13, 2
Let c be (-280)/(-28) - (2/5)/(3/65). Factor -6*g**4 - c - 10*g - 58/3*g**3 - 22*g**2.
-2*(g + 1)**3*(9*g + 2)/3
Let s = -411418 + 411421. Factor 0 + 4/7*r + 6/7*r**2 - 2/7*r**4 + 0*r**s.
-2*r*(r - 2)*(r + 1)**2/7
Factor 1364/13*m**2 + 462400/13 + 233920/13*m + 2/13*m**3.
2*(m + 2)*(m + 340)**2/13
Let i be 3 - (0 + -7) - (2 - -1). Factor 0*x**2 - i + 10*x + 4*x - 6*x + x**2 - 2*x.
(x - 1)*(x + 7)
Let 25170/7*k + 52794075/7 + 3/7*k**2 = 0. Calculate k.
-4195
Let y(p) be the second derivative of p**8/30240 - p**7/1890 - p**6/3240 + p**5/90 - 25*p**4/2 + 8*p - 2. Let j(i) be the third derivative of y(i). Factor j(f).
2*(f - 6)*(f - 1)*(f + 1)/9
Let j(p) be the first derivative of -1024/3*p + 32/3*p**2 - 1/9*p**3 - 267. Solve j(v) = 0 for v.
32
Suppose -21/4*d**3 - 99/8*d**2 + 21/4*d + 12 + 3/8*d**4 = 0. What is d?
-2, -1, 1, 16
Let q be (-2 - (-2096)/20) + (-20)/25. Let m be (-3)/(-2) + q/(-84) + 0. Factor 6/7*w - 8/7*w**2 + m.
-2*(w - 1)*(4*w + 1)/7
Let m(o) be the second derivative of -o**6/50 - 531*o**5/50 - 264*o**4/5 - 527*o**3/5 - 1053*o**2/10 + 2134*o. Factor m(c).
-3*(c + 1)**3*(c + 351)/5
Let p(m) be the first derivative of -m**8/3360 + m**7/168 + m**6/720 - m**5/24 - 6*m**3 + m**2/2 + 195. Let c(v) be the third derivative of p(v). Factor c(x).
-x*(x - 10)*(x - 1)*(x + 1)/2
Suppose 44*d + 701 = 2681. Suppose 0 = 4*h - 3*c - 54, 3*c - c - 79 = -5*h. Factor 5*z + d*z**3 + h*z**2 + 20*z**4 + 20*z**2 - 5*z**2.
5*z*(z + 1)**2*(4*z + 1)
Let n(s) = -291*s**2 + 294*s + 15. Let j(r) = -r**3 + 291*r**2 - 292*r - 10. Let w(k) = 3*j(k) + 2*n(k). Determine t so that w(t) = 0.
0, 1, 96
Let g(r) be the second derivative of -r**6/150 + 183*r**5/100 - 181*r**4/30 + 53*r - 2. Factor g(o).
-o**2*(o - 181)*(o - 2)/5
Let k(n) be the second derivative of n**5/90 + 11*n**4/27 + 17*n**3/3 + 36*n**2 - 181*n. What is r in k(r) = 0?
-9, -4
Let k be 1 + 28/36 + 4/18. Factor 8 + 18*t**2 + 21*t**k - 21*t + 17*t**2 - 38 - 59*t**2.
-3*(t + 2)*(t + 5)
Let s(p) be the first derivative of 9*p**5/40 - 37*p**4/32 - p**3/4 + 5*p**2/2 - 1980. Suppose s(c) = 0. Calculate c.
-1, 0, 10/9, 4
Let d(a) = 2*a**4 - 3504*a**3 + 1531229*a**2 + 3072963*a + 1538243. Let u(l) = -l**2 - 3*l - 1. Let h(j) = -2*d(j) + 30*u(j). Factor h(i).
-4*(i - 877)**2*(i + 1)**2
Determine x, given that -5*x**2 - 155*x + 1306*x - 756*x = 0.
0, 79
Let u(d) be the second derivative of d**5/180 + 17*d**4/54 + 95*d**3/18 + 14*d**2 + 2*d - 600. Find i such that u(i) = 0.
-21, -12, -1
Let w(v) be the third derivative of 1/540*v**6 + 0*v + 180*v**2 - 1/27*v**4 + 0*v**3 + 0 + 2/135*v**5 - 1/945*v**7. Determine l, given that w(l) = 0.
-2, 0, 1, 2
Suppose -3*l = 3*f - 15, 5*f - 18 - 7 = 3*l. Suppose 4*t - k - 247 = -t, l = -3*t - 3*k + 159. Factor 2*u - t + 58 - 5*u - u - 4*u**2.
-4*(u - 1)*(u + 2)
Factor -488/3 + 248/3*b - 2/3*b**2.
-2*(b - 122)*(b - 2)/3
Let i(d) be the first derivative of d**4/4 + 55*d**3/2 - 84*d**2 - 88*d + 32. Let t(c) be the first derivative of i(c). Factor t(g).
3*(g - 1)*(g + 56)
Let a(f) be the first derivative of 270*f**6 - 1854*f**5/5 + 49*f**4/2 + 160*f**3/3 - 12*f**2 + 6804. Find m such that a(m) = 0.
-3/10, 0, 2/9, 1
Suppose 8/15*k**4 + 0 + 0*k + 14/15*k**3 - 2/15*k**5 - 4/3*k**2 = 0. Calculate k.
-2, 0, 1, 5
Let i(h) be the second derivative of -10*h - 5/2*h**3 + 0 - 3/4*h**4 + 0*h**2 + 3/10*h**5. Suppose i(n) = 0. What is n?
-1, 0, 5/2
Let f = 40712/5 - 8142. Let c(z) be the first derivative of 4*z + z**2 - 1/2*z**4 - 2*z**3 - 20 + f*z**5. Let c(b) = 0. What is b?
-1, 1, 2
Let u(q) = -9*q**2 + 8*q - 5. Let k(g) = g**2 - g + 1. Let d = 413 + -419. Let s(m) = d*k(m) - u(m). Factor s(o).
(o - 1)*(3*o + 1)
Let f(d) be the first derivative of -d**6/120 + 3*d**5/20 + 134*d**3/3 - 25. Let y(r) be the third derivative of f(r). Factor y(g).
-3*g*(g - 6)
What is j in -168 + 83*j**2 - 164 + 216*j + 125 - 4*j**3 = 0?
-3, 3/4, 23
Let v(y) be the second derivative of y**6/180 + 7*y**5/12 - 3*y**4 - 191*y**3/6 + y**2 + 160*y. Let z(t) be the second derivative of v(t). Solve z(g) = 0.
-36, 1
Suppose -403*o - l - 14 = -406*o, 3*l + 24 = 0. Find h, given that 7/2*h + 12*h**o - 5/2*h**5 - 3 - h**3 - 9*h**4 = 0.
-3, -1, 2/5, 1
Let p(o) be the third derivative of 2*o**7/315 + 7*o**6/15 + 49*o**5/9 - 2475*o**2. Let p(r) = 0. What is r?
-35, -7, 0
Let 0 - 1/3*w**4 - 24*w + 58/3*w**2 + 5*w**3 = 0. Calculate w.
-4, 0, 1, 18
Suppose -n + 161 = -5*x + 166, -4*x + 15 = -3*n. Let -1/10*o**2 + 1/5*o + x = 0. What is o?
0, 2
Suppose -32*n = -29*n - 24. Solve -18*p - n*p**4 + 39*p**2 - 18*p**2 + 36*p**3 - 7*p**4 + 12*p**2 = 0.
-1, 0, 2/5, 3
Let b(m) = m**2 - 2*m - 6. Suppose -7*k - 2772 = -2800. Let i be b(k). Factor -1/6*y + 1/6*y**i - 1/3.
(y - 2)*(y + 1)/6
Let y = 954 + -897. Suppose -485*w = -466*w - y. What is h in 2/5*h**w + 18/5*h + 12/5*h**2 + 8/5 = 0?
-4, -1
Factor -133/5*s**3 - 1532/5*s + 774/5*s**2 + 1/5*s**4 + 1016/5.
(s - 127)*(s - 2)**3/5
Suppose 290*f - 110 = 207*f + 56. Suppose 4/5*z**f - 3/5*z + 0 - 4/5*z**4 + 1/5*z**5 + 2/5*z**3 = 0. Calculate z.
-1, 0, 1, 3
Suppose -26 = 9*f - 10*f - 4*j, 4 = -4*f + 2*j. Let n(i) be the first derivative of 8 + 8*i**3 + 18*i**f + 0*i - 3/4*i**4 - 3/5*i**5. Solve n(l) = 0.
-2, 0, 3
Let y be (-518)/672*-13 + (13 - 23). Let j(v) be the third derivative of 0 + 5/6*v**3 - 10*v + 5/32*v**4 - 3*v**2 - y*v**5. Let j(g) = 0. What is g?
-1, 4
Let v(x) be the first derivative of -2*x**6/45 + 3*x**5/20 - x**4/6 + x**3/18 + 38*x + 83. Let y(p) be the first derivative of v(p). Factor y(j).
-j*(j - 1)**2*(4*j - 1)/3
Let l(g) be the first derivative of g**6/360 + 17*g**5/120 + 7*g**4/4 + 2*g**3/3 + 17*g**2/2 + 166. Let k(u) be the third derivative of l(u). Factor k(q).
(q + 3)*(q + 14)
Let c be ((-51 - -31) + 27)/(14/(-21) - -3). Find t such that -1/10*t + 0*t**c - 2/5*t**4 - 3/5 + 1/10*t**5 + t**2 = 0.
-1, 1, 2, 3
Let d(h) = 3*h**3 + 196*h**2 + 73*h + 522. Let b be d(-65). Determine s, given that 0 + 9*s + 3/8*s**b = 0.
-24, 0
Suppose -2*q + 0*q + 5*l + 195 = 0, 2*l + 97 = q. Let d = 108 - q. Factor -8*n**3 + n**4 + 14*n**3 - 2*n**4 + 324*n + d*n**3 - 216 - 126*n**2.
-(n - 6)**3*(n - 1)
Factor 175*t - 160*t**3 - 441 + 516*t**3 - 23*t**2 - 170*t**3 - 185*t**3.
(t - 9)*(t - 7)**2
Let n be 1 - 4 - (-5 + -1). Factor 229*d - 229*d + n*d**2.
3*d**2
Let a(d) be the second derivative of d**6/150 - 23*d**5/100 + 67*d**4/30 - 56*d**3/15 + 298*d + 1. Factor a(u).
u*(u - 14)*(u - 8)*(u - 1)/5
Suppose 0 = -2*p + 23*r - 18*r + 52, 46 = 2*p - 2*r. Suppose -5*g + 2*c = -49 + p, -5*g + 34 = 4*c. Let 28/3*v + 2 - 20*v**3 + g*v**4 + 8/3*v**2 = 0. What is v?
-1/3, 1, 3
Let k(v) be the third derivative of -v**5/90 + 181*v**4/36 + 122*v**3/3 + 96*v**2 - 3*v. Factor k(b).
-2*(b - 183)*(b + 2)/3
Let d(z) be the first derivative of -6*z**5/5 + 14*z**4 - 397*z**3/18 + 35*z**2/4 - 4*z/3 - 695. Determine n so that d(n) = 0.
1/6, 1, 8
Let o be -18*27/(-18) - 2. Suppose 5*n = -58*y + 59*y + o, 0 = 4*n - 20. Let 0 + 0*d + y*d**3 + 4/5*d**4 + 2/5*d**5 + 0*d**2 = 0. What is d?
-2, 0
Suppose -z = 1, 16*f + 2*z + 7062 = 12*f. Let s = f - -1765. Find b such that 0 + 0*b**2 + 4/15*b**3 - 2/15*b**4 + s*b = 0.
0, 2
Factor -2264924160 + 8847360*j + 38*j**3 - 2678*j**2 - 1852*j**2 - 33*j**3 - 6990*j**2.
5*(j - 768)**3
Factor -87*d + 4*d**4 - 5*d**4 - 80*d**2 - 61*d + 38*d + 19*d**3 + 10*d.
-d*(d - 10)**2*(d + 1)
Let t(y) = -4*y**3 - 3*y**2 - 3*y - 5. Let h be t(-3). Suppose 91*d = h*d. Factor d + 0*z + 1/2*z**2.
z**2/2
Let d(x) be the third derivative of -1/2*x**5 + 0*x + 0 + 11/3*x**3 + 5/72*x**6 + 5/6*x**4 + 13*x**2. Let t(n) be the first derivative of d(n). Factor t(r).
5*(r - 2)*(5*r - 2)
Suppose -4*l + 5635 = -3453. Suppose 3*q = 4*i - l, -4*i + 5*q + 2840 = i. Factor -14*d**2 + 2*d**5 - 4*d**4 - 6*d**4 + 18*d**3 - 564*d + i*d.
2*d*(d - 2)*(d - 1)**3
Let t(l) be the second derivative of -125*l + 29/3*l**4 - 8/3*l**3 - 23/5*l**5 + 2/3*l**7 - 2/3*l**6 - 8*l**2 + 0. Find o such that t(o) = 0.
-2, -2/7, 1
Let n(k) be the second derivative of -k**4/3 + 76*k**3 + 4518*k. Factor n(i).
-4*i*(i - 114)
Let h(r) be the second derivative of r**8/3360 - r**7/420 - r**6/90 + 39*r*