*d**4 + 0 - g*d**2 + 0*d + 6*d**3.
-3*d**2*(d - 3)*(d - 1)/2
Suppose -2 - 6 = 2*b, 3*f + b + 4 = 0. Let h be 3/3 + 3/(1 + f). Factor 4*j**h - 20*j**3 + 15*j**4 - 11*j**4 + 8*j + 4*j**2.
4*j*(j - 2)*(j - 1)*(2*j + 1)
Suppose 65 = 13*v - 12*v. Suppose 3*j = -15, 61*j - 29 = -3*x + v*j. Let 1/5*n**x + 3/5*n**2 - 3/5 - 1/5*n = 0. Calculate n.
-3, -1, 1
Suppose 0 = -4*o + 2*q - 67 - 33, -5*o - q = 118. Let k = -21 - o. Solve 4*v**2 - v**k - v**2 + v**2 + 3*v**3 - 2*v**4 = 0.
-1, 0, 2
Let d(n) be the first derivative of n**7/63 + 2*n**6/45 - 4*n**5/15 - 15*n + 49. Let i(m) be the first derivative of d(m). Factor i(p).
2*p**3*(p - 2)*(p + 4)/3
Let w(c) = 797*c + 183313. Let o be w(-230). Factor 4800*j**2 + 1280000 + 1/2*j**4 + 80*j**o + 128000*j.
(j + 40)**4/2
Let b be (3/4)/((-525)/4200*10/(-12)). Factor -94/5*l - 2/5*l**3 - b*l**2 - 12.
-2*(l + 1)*(l + 2)*(l + 15)/5
Let y = -141 - -2065. Suppose -34*k = -30*k - y. Determine f so that k - 180*f + 60*f**2 - 5*f**3 - 481 = 0.
0, 6
Let q(l) be the second derivative of -4*l**6/15 + 5*l**5/4 - l**4/4 - 16*l**3/3 + 2*l**2 - l - 266. Let q(z) = 0. Calculate z.
-1, 1/8, 2
Let 0*k**3 + 0 + 2/3*k**4 - 14*k**2 - 40/3*k = 0. What is k?
-4, -1, 0, 5
Let h be (4/6)/((-8)/(-150)). Let w = 36752 - 36747. Factor 1/2*q**2 + h + w*q.
(q + 5)**2/2
Let l(g) be the second derivative of -2*g + 22*g**4 + 47/10*g**5 - 12*g**3 + 0*g**2 - 20 + 4/15*g**6. Factor l(b).
2*b*(b + 6)**2*(4*b - 1)
Let b(x) be the first derivative of -1/32*x**4 + 0*x + 96 - 1/6*x**3 + 5/16*x**2. Factor b(g).
-g*(g - 1)*(g + 5)/8
Let h = -2 - -10/3. Let s = -379998 + 380000. Find g, given that 4/3*g - h*g**3 + 2*g**s + 0 = 0.
-1/2, 0, 2
Let q be (-12)/(-15) - 1024/80. Let r be q*(-4)/12*1. Factor 0*y - 4/5*y**2 + 7/5*y**r + 0 + 12/5*y**3.
y**2*(y + 2)*(7*y - 2)/5
Let x = -20709967/10104 + 45/3368. Let m = x - -2058. Find a such that -m - 1/3*a**2 + 10/3*a = 0.
5
Let l(t) = 10*t**2 - 20*t. Let o(u) = 33*u**2 - 58*u. Let j(y) = -24*l(y) + 9*o(y). Factor j(v).
3*v*(19*v - 14)
Let c(y) be the second derivative of y**4/4 + 209*y**3 + 131043*y**2/2 - 2*y + 552. Factor c(r).
3*(r + 209)**2
Let z(y) be the second derivative of -y**7/840 - y**6/60 - 7*y**5/240 + 19*y**2/2 - 2*y - 45. Let n(w) be the first derivative of z(w). Factor n(u).
-u**2*(u + 1)*(u + 7)/4
Suppose -4*b + 4*a + 15724 = 0, -b - 2*b - 2*a + 11783 = 0. Let y be 20 - (-6 - -8) - -3931. Find l such that b*l - 2*l**2 - 3*l**2 - y*l = 0.
-4, 0
Find c, given that -831 + 124*c**2 + 123*c**2 + 443*c - 379*c**2 + 129*c**2 + 391*c = 0.
1, 277
Let n(s) be the second derivative of -s**4/4 - 181*s**3 - 98283*s**2/2 + 4090*s. Factor n(l).
-3*(l + 181)**2
Suppose 0 = 46*g - 51*g + 25. Factor g*c**3 - 4*c**2 + 49*c**2 - 9*c**2 - 21*c**2.
5*c**2*(c + 3)
Let t(r) = 424*r**2 - 2452*r - 4934. Let v(a) = -91*a**2 + 490*a + 987. Let g(m) = -3*t(m) - 14*v(m). Solve g(j) = 0 for j.
-246, -2
Let h be 34 + -33 + (5 - 0 - 0). Let k be (10/20)/(1/4). Factor -28*f + h*f**2 + 98 + 0*f**k - 4*f**2.
2*(f - 7)**2
Let l be (-31 - -46)*17/3*-2. Let y be (-16)/(-20) + (-3808)/l. Determine g so that -108/5*g**3 + 24/5 + 4*g**4 - y*g + 36*g**2 = 0.
2/5, 1, 3
Let o(x) be the first derivative of x**4/6 - 2684*x**3/9 + 450241*x**2/3 + 9836. Find y, given that o(y) = 0.
0, 671
Solve 1920*v**2 + 15*v**5 - 184*v**4 + 84*v**3 + 306*v**3 - 6*v**4 + 1470 - 3605*v = 0 for v.
-3, 2/3, 1, 7
Suppose 10 = -16*d + 21*d. Factor 0*u**2 - 4*u**d - 24*u**3 + 5*u + 22*u**3 - 6*u - u.
-2*u*(u + 1)**2
Let l(c) be the first derivative of 0*c + 10/3*c**3 + 7*c**2 - 2 - 5/8*c**4 - 1/12*c**5. Let g(i) be the second derivative of l(i). Suppose g(n) = 0. What is n?
-4, 1
Suppose -1 - 2/3*w**2 + 7/3*w - 2*w**3 - 1/3*w**5 + 5/3*w**4 = 0. Calculate w.
-1, 1, 3
What is y in -32 - 6*y**3 + 589/7*y**2 - 318/7*y - 5/7*y**4 = 0?
-16, -2/5, 1, 7
Suppose -4/7*z**3 + 2/7*z**4 - 2/7*z**2 + 4/7*z + 0 = 0. Calculate z.
-1, 0, 1, 2
Let j(c) be the second derivative of -2*c**6/15 + 3*c**5/5 + 2*c**4 - 16*c**3/3 + 16*c - 2. Factor j(t).
-4*t*(t - 4)*(t - 1)*(t + 2)
Let o(i) = 3 + 2*i - 7*i + 3*i. Let l be o(0). Factor 51*t**2 - 15 - 37*t + 12*t**l - 16*t + 5*t.
3*(t - 1)*(t + 5)*(4*t + 1)
What is v in 4/9*v**2 + 52/9*v - 88 = 0?
-22, 9
Suppose 142*m = 3016 - 1880. Factor 2/3*s**2 + m*s + 22/3.
2*(s + 1)*(s + 11)/3
Let k(v) be the first derivative of 5*v**4/4 - 305*v**3/3 + 3535*v**2/2 - 11515*v + 1935. Suppose k(c) = 0. Calculate c.
7, 47
Let l(y) be the first derivative of -5*y**3/4 + 53*y**2/8 - 19*y/2 + 4507. Factor l(b).
-(b - 1)*(15*b - 38)/4
Let x(h) = 2*h**3 - 2*h - 2. Let c(y) = -42*y**3 + 266*y**2 + 570*y + 306. Let g(r) = 2*c(r) + 44*x(r). Factor g(b).
4*(b + 1)**2*(b + 131)
Let p = -3905/4 - -980. Let w(f) be the first derivative of 5/6*f**6 + 0*f - p*f**4 - 5/3*f**3 + 5*f**2 + f**5 + 35. Factor w(u).
5*u*(u - 1)**2*(u + 1)*(u + 2)
Let f be (-48)/1040*-415 - 15 - (-1 + 5). Suppose 8/13*y + 34/13*y**2 - 2*y**4 + f*y**3 - 10/13*y**5 - 8/13 = 0. Calculate y.
-2, -1, 2/5, 1
Let p(y) be the second derivative of 3*y**5/140 - 39*y**4/14 - 159*y**3/14 - 120*y**2/7 - 4*y + 1577. Suppose p(v) = 0. Calculate v.
-1, 80
Let o(n) = 2*n**2 + 13*n + 3. Let l(b) = -b - 3. Let f(t) = -2. Let y(c) = 4*f(c) - 3*l(c). Let d(u) = -2*o(u) + 6*y(u). Factor d(k).
-4*k*(k + 2)
Let h(l) be the first derivative of l**3 + 54*l**2 + 960*l + 7122. Factor h(r).
3*(r + 16)*(r + 20)
Let k(u) be the first derivative of u**3/6 + 1698*u**2 + 5766408*u + 1057. Factor k(j).
(j + 3396)**2/2
Let o be (-12)/9240*-22*5/4. Let g(m) be the third derivative of 0 + 0*m**3 + 1/70*m**5 - o*m**4 + 17*m**2 + 0*m. Factor g(y).
6*y*(y - 1)/7
Find o, given that -960 - 465*o + 184*o**4 - 149*o**4 - 690*o**3 - 3420*o**2 - 3815*o = 0.
-2, -2/7, 24
Let a = -2108 - -2102. Let h be a/36*-2*0. Determine q so that -4/7*q**2 + h*q**3 + 0 + 0*q + 1/7*q**4 = 0.
-2, 0, 2
Suppose -g - 30 = -2*c, -5*c - 3*g + 66 = -g. Find o, given that -o**4 + 20*o**2 - 40*o**3 - c*o**2 - 11*o**2 - 79*o**4 = 0.
-1/4, 0
Let t(g) = -g**3 - 220*g**2 - 436*g. Let c(q) = q**3 + 222*q**2 + 440*q. Let x(a) = 9*c(a) + 8*t(a). Determine f, given that x(f) = 0.
-236, -2, 0
Let z(l) be the third derivative of -l**2 + 25/12*l**4 + 20*l**3 + 1/12*l**5 - 96 + 0*l. Determine w, given that z(w) = 0.
-6, -4
Let x = -1652514 - -1652516. Determine j, given that -102/5 + 57/5*j - 3/5*j**x = 0.
2, 17
Solve -19 - 94*k**2 - k**5 - 76*k + 19 - 14*k**4 + 69*k - 59*k**3 - 41*k = 0 for k.
-8, -3, -2, -1, 0
Let b(u) = 53*u**2 - 84*u. Let p(t) = 4*t**2 + t. Let c(y) = b(y) - 13*p(y). Factor c(z).
z*(z - 97)
Let t(o) be the second derivative of -o**5/20 + o**4/3 - o**3/2 + 20*o**2 - 32*o. Let y be t(5). Factor -4/7*b**3 - 8/7*b + 12/7*b**2 + y.
-4*b*(b - 2)*(b - 1)/7
Suppose -58 = -253*a - 232 + 601 + 332. Factor 15*h**4 + 35136/5*h + 732*h**a + 46092/5*h**2 + 6912/5.
3*(h + 24)**2*(5*h + 2)**2/5
Suppose 0 = 3*j + 5*x - 7 - 16, -3*x - 21 = -4*j. Factor -108*m + 597*m**2 + 53*m + 1470*m**3 - 184*m**4 + 55*m + j*m**5 - 1497*m**2.
2*m**2*(m - 15)**2*(3*m - 2)
Suppose 13*a**4 + 8844*a**5 - 8828*a**5 - 4*a**3 - a**4 = 0. What is a?
-1, 0, 1/4
Let i = -1481017/693 - -23478/11. Let v = i + 35/9. Factor 4/7*z**2 + v + 12/7*z.
4*(z + 1)*(z + 2)/7
Find y, given that 537/4*y - 3/4*y**2 - 267/2 = 0.
1, 178
Let v = 8102 - 8095. Let t(r) be the second derivative of -1/2*r**6 + 1/4*r**4 + 0 - 9/20*r**5 + 1/2*r**3 - 1/7*r**v + 0*r**2 - 21*r. Factor t(z).
-3*z*(z + 1)**3*(2*z - 1)
What is r in 80/7 + r**2 + 54/7*r = 0?
-40/7, -2
Let a(l) = 2*l**4 - l**3 - l**2 - l. Let j(s) = 28*s**4 + 4*s**3 - 480*s**2 - 2380*s + 2816. Let q(d) = 12*a(d) - j(d). Solve q(w) = 0 for w.
-8, 1, 11
Suppose 6 = 8*g - 9*g - 2*j, 3*g - 37 = 5*j. Suppose 464*h**3 + 4*h + 0*h**g + 2*h**2 + 0*h**4 - 241*h**3 - 2*h**4 + 2*h**5 - 229*h**3 = 0. Calculate h.
-1, 0, 1, 2
Let s = -998 - -1050. Suppose s*b + 21 = 73. Factor 0*o**4 + o**2 - 1/2*o**5 + 2*o**3 - b - 3/2*o.
-(o - 2)*(o - 1)*(o + 1)**3/2
Let r(f) = 55*f**2 - 735*f - 3235. Let v(l) = 5*l**2 - 67*l - 294. Let m(p) = 6*r(p) - 65*v(p). Factor m(g).
5*(g - 15)*(g + 4)
Let d(k) = -k**2 - 3*k**2 + 0*k**2 + 14 - 4*k. Let i(v) = -v**2 - 1. Let r be 13/1 + -2 + -13. Let m(x) = r*i(x) + d(x). Let m(t) = 0. What is t?
-4, 2
Let j(m) = -125*m**3 - 877*m**2 - 1080*m - 1