r n.
-1
Let q(h) be the first derivative of h**3 - 60 + 0*h**2 + 0*h + 3/2*h**4 + 3/5*h**5. Solve q(t) = 0.
-1, 0
Factor 1/4*v**3 - 12 + 9/2*v**2 + 29/4*v.
(v - 1)*(v + 3)*(v + 16)/4
Suppose -2*o**3 - 9*o - 250 - 3*o**3 + 120*o**2 + 105*o + 100*o - 61*o = 0. What is o?
-2, 1, 25
Let b(f) = -5681*f + 5684. Let c be b(1). Factor -24/5*t**2 + 2/5*t**c + 0 + 0*t.
2*t**2*(t - 12)/5
Let t(n) = 3*n**2 + 36*n + 2. Let r be t(-12). Let p be (-143)/(-11) - 11 - (r + 0). What is i in p - 1/3*i**2 - 2/3*i = 0?
-2, 0
Let t(p) = -40*p**3 - 758*p**2 + 2707*p - 1807. Let k(f) = 7*f**3 + 125*f**2 - 451*f + 301. Let o(m) = -34*k(m) - 6*t(m). Factor o(w).
2*(w - 2)*(w - 1)*(w + 152)
Let j(g) be the second derivative of 0 + 0*g**2 + 1/20*g**5 + 1/126*g**7 - 5/36*g**4 - 73*g - 2/9*g**3 + 1/18*g**6. Factor j(i).
i*(i - 1)*(i + 1)**2*(i + 4)/3
Let x be ((((-175)/(-15))/(-7))/(220/88))/((-48)/36). Factor x*u**2 - 13/2*u + 0.
u*(u - 13)/2
Let o be (-1)/1 - (-44 - -48). Let a be (132/72 + -1)/(o/(-3)). Find h such that -a*h**2 + 0*h + 0 = 0.
0
Factor 293 - t**2 + 50 + 310 - 387 - 20*t + 163.
-(t - 13)*(t + 33)
Let m(i) be the second derivative of i**5/10 + 53*i**4/3 - 72*i**3 + 324*i - 2. Factor m(a).
2*a*(a - 2)*(a + 108)
Suppose -14*p**2 - 48*p + 288 - 2/3*p**3 = 0. Calculate p.
-12, 3
Factor -8*k**4 + 4*k**4 - 54064*k**2 - 1784*k**3 - 1776*k + 50508*k**2.
-4*k*(k + 1)**2*(k + 444)
Let d(z) be the second derivative of -z**5/90 + 8*z**4/9 - 256*z**3/9 - 3*z**2 + 227*z. Let t(n) be the first derivative of d(n). Determine s so that t(s) = 0.
16
Let s(o) be the first derivative of o**4/16 + 3*o**3/2 + 27*o**2/8 - 135*o/2 + 4695. Factor s(p).
(p - 3)*(p + 6)*(p + 15)/4
Let v(x) be the third derivative of -x**6/840 - x**5/70 - 3*x**4/56 - 1412*x**2. Factor v(p).
-p*(p + 3)**2/7
Let f(w) = -7*w**3 - 3*w - 5. Let t(q) = 3*q**2 - 3*q**2 + 2*q + 4*q**3 + 3. Suppose 12*m = -14*m + 130. Let g(l) = m*t(l) + 3*f(l). What is o in g(o) = 0?
-1, 0, 1
Let k = 1693/4827 + -28/1609. Let g(b) be the second derivative of -3/40*b**5 - 1/120*b**6 - 33*b + 0*b**2 - 1/4*b**4 - k*b**3 + 0. Factor g(r).
-r*(r + 2)**3/4
Suppose 2*w + 4 = 4*m, w - 5*m + 0 = 4. Let c = 8 + w. Let 2*i**c + 2*i**2 - 3 - 5*i**2 + 4*i**2 = 0. Calculate i.
-1, 1
Let b(a) be the first derivative of a**3 - 177*a**2/2 + 504*a + 2302. Factor b(c).
3*(c - 56)*(c - 3)
Suppose -13*g + 5*g + 320 = 0. Find z such that -5*z**4 + 29*z + 10*z + z**4 + z + 48*z**2 - g*z**3 - 44 = 0.
-11, -1, 1
Let r be (((-4950)/(-44))/75)/3. Let 3/2 - r*q**2 - q = 0. What is q?
-3, 1
Suppose 5*t + 8 = 7*t + l, -5*l = t - 4. Factor 8*m**2 - 6*m - 4 + 6*m**2 + 2*m**t + 6*m**3 - 12*m**2.
2*(m - 1)*(m + 1)**2*(m + 2)
Let h = -3043/11 + 9151/33. What is i in -8 + h*i**2 - 22/3*i = 0?
-1, 12
Let v(b) be the first derivative of -1/8*b**4 + 0*b + 3*b**2 + 34 - 2/3*b**3. Let v(w) = 0. What is w?
-6, 0, 2
Let u = 11337 + -11334. Let h(f) be the second derivative of 0 - 19*f + 1/30*f**5 + 1/12*f**4 + 0*f**u + 0*f**2. Factor h(z).
z**2*(2*z + 3)/3
Let x(v) be the first derivative of -v**4/26 + 38*v**3/39 - 38*v**2/13 - 320*v/13 - 637. Let x(a) = 0. Calculate a.
-2, 5, 16
Suppose 2*f + 16 = 2*q, -3*q - 15*f + 13*f = -4. Find x, given that -26*x**3 + x**5 + q*x + 9*x**3 + 12*x**3 = 0.
-2, -1, 0, 1, 2
Find a such that 235885*a**4 + 2520*a**2 - 233395*a**4 - 2505*a - 9*a**5 - 1674 + 0*a**5 + 5850*a**3 = 0.
-1, 2/3, 279
Suppose -u = g - 9 - 20, -3*g = -5*u + 129. Suppose 2*b - 58 = -u*b. Let 0 + 1/4*i**b - 3/4*i**3 + 0*i = 0. What is i?
0, 1/3
Factor 3*w**2 - 1312962 + 3312402 + 998228 - 8766*w + 2136574 + 1269321.
3*(w - 1461)**2
Let a = -118 - -122. Find s, given that -s**a - s**2 + 8*s**2 - 2*s + 4*s**3 - 6*s**2 - 2*s = 0.
-1, 0, 1, 4
Let c = 254 - 251. Solve -536*p + p**c + 536*p = 0.
0
Let z(t) be the first derivative of -3*t**5/5 + 7275*t**4/16 - 183921*t**3/2 + 275427*t**2/8 - 4274. Factor z(k).
-3*k*(k - 303)**2*(4*k - 1)/4
Let g = -299 + 273. Let y be 0*(6 + g/4). Factor 0*v + 3/2*v**3 + y + 3/2*v**2.
3*v**2*(v + 1)/2
Let d be (2 - -1 - 4)*-11. Suppose -d*g - 16 = -38. Factor 0*a + 5/2*a**g - 5/2.
5*(a - 1)*(a + 1)/2
Factor -4671*r + 145 + r**2 + 4650*r - 55.
(r - 15)*(r - 6)
Let s be 15/((-315)/21) + 3*(2 - 1). Let t(o) = 654*o. Let p be t(2). Factor 44 - 30*q - p*q**2 - 4 + 1313*q**s.
5*(q - 4)*(q - 2)
Suppose -30/11*q + 2/11*q**2 - 432/11 = 0. Calculate q.
-9, 24
Let y(o) = -o**4 + o**3 + 4*o**2 - o + 1. Let n(q) = -9*q**4 - 147*q**3 - 122*q**2 + 147*q + 159. Let a(c) = n(c) - 7*y(c). Factor a(s).
-2*(s - 1)*(s + 1)**2*(s + 76)
Factor 9259021760 + 15610719*y - 6*y**3 + 11*y**3 + 18420*y**2 + 7009041*y + 0*y**3.
5*(y + 1228)**3
Suppose -37*u + 420 = -27*u. Factor 2*w**3 + u + 44*w + 43*w + 21*w + 46*w**2 - 22*w.
2*(w + 1)**2*(w + 21)
Let r(a) be the third derivative of -a**5/12 + 10*a**4 - 2196*a**2. Find n, given that r(n) = 0.
0, 48
Suppose 40 = 4*a - 14*a. Let b be (-16 - 782/(-51))/(a/27). Let 15/2*y**2 + 21/2*y + 3/2*y**3 + b = 0. Calculate y.
-3, -1
Let w = -710/13 + 4273/78. Let r(u) be the second derivative of w*u**3 + 0 + 1/72*u**4 - 13*u + 2/3*u**2. Find v such that r(v) = 0.
-4, -2
Let v = -506 + 518. Solve v*x**4 - 6*x**5 + 7*x**5 + 64*x + 158*x**3 - 106*x**3 + 96*x**2 = 0 for x.
-4, -2, 0
Factor -80 - 12*k**2 - 20*k**2 + 87*k**4 - 88*k**4 + 4*k + 0*k**3 + 92*k**2 + 17*k**3.
-(k - 20)*(k - 1)*(k + 2)**2
Let k(t) be the second derivative of t**5/5 + 176*t**4/3 + 15130*t**3/3 - 31684*t**2 + 286*t. Solve k(h) = 0.
-89, 2
Let r be 1 + -1 - 57/(-18 + -1). Let v be ((-3105)/2254 + r/2)*28. Solve 20/7*u**2 + 6/7*u + 0 + 2/7*u**5 + 12/7*u**4 + v*u**3 = 0.
-3, -1, 0
Suppose 39 = 4*u + 3*r, -2*u - 5*r + 37 = -0*r. Let -4*d**5 - 2*d - 8*d**2 + 0*d**2 + 2*d**2 + 4*d**4 + u*d**5 + 2*d**2 = 0. What is d?
-1, 0, 1
Suppose -5793649/6 - 2407/3*j - 1/6*j**2 = 0. Calculate j.
-2407
Let c(h) be the first derivative of 2*h**3/9 + 280*h**2/3 + 186*h - 10434. Find u, given that c(u) = 0.
-279, -1
Let n be (8/6 + -2)*-3. Suppose -333 = 3*u - 357. Factor -2*z - 6*z**n + 10*z**2 - u*z**2 + 10*z.
-4*z*(z - 2)
Let y = 424 + -409. Suppose -47*p + 126 = -y. Factor -1/4 - 3/4*f - 3/4*f**2 - 1/4*f**p.
-(f + 1)**3/4
Let h = 12882/55 + -3430/11. Let d = -3452/45 - h. Factor -d*o - 4/9 - 4/9*o**2.
-4*(o + 1)**2/9
Let f(n) = -5*n**2 + 29*n + 57. Let x = -312 + 302. Let g(h) = -18*h**2 + 86*h + 170. Let y(k) = x*f(k) + 3*g(k). Factor y(b).
-4*(b + 3)*(b + 5)
Let k be 3/((12/20)/((-195)/(-156) - 39/60)). Factor 0 - 2/13*x - 2/13*x**k + 4/13*x**2.
-2*x*(x - 1)**2/13
Suppose -4*w = 3*z - 57, w + 3*z = -0*w + 3. Suppose 2*a - 34 + w = 0. Factor 4*k**3 - 32*k + 32*k + a*k**2.
4*k**2*(k + 2)
Suppose 2*u = t - 21, -3*u + 457 - 490 = -2*t. Let i(p) be the first derivative of -5/7*p**t - 9/2*p**2 - 26 - 7*p - 1/28*p**4. Solve i(v) = 0.
-7, -1
Let d(n) = 2*n**2 + 298*n - 300. Let p(h) = -h**2 - 149*h + 150. Let g(u) = 3*d(u) + 7*p(u). Determine l so that g(l) = 0.
-150, 1
Let u(z) = -4020*z + 36180. Let t be u(9). Let a be 0/(1*(3 - 2)). Factor 1/5*i**4 + a*i**3 - 1/5*i**5 + 0*i + t + 0*i**2.
-i**4*(i - 1)/5
Let s = 16330/31 - 48835/93. Find j, given that -25/3*j - s*j**4 - 5*j**3 + 15*j**2 + 0 = 0.
-5, 0, 1
Suppose -56*j + 43*j = 5876. Let w = j + 456. Let 6 + 2/3*d**2 + w*d = 0. What is d?
-3
Let x be (-3444)/(-522) + (4/(-145))/(8 + 336/(-40)). Factor 1/6*k**2 + 200/3 - x*k.
(k - 20)**2/6
Let u = -6489/2 - -3245. Factor 27/2 - u*k**2 + 13*k.
-(k - 27)*(k + 1)/2
Let l(h) be the second derivative of h**8/15120 - h**6/540 - h**5/135 + 17*h**4/6 + 19*h + 2. Let n(y) be the third derivative of l(y). Solve n(m) = 0 for m.
-1, 2
Let a be (30/50)/((-1)/(-5)). Suppose q = 4*g - 25, g + 2*q + 20 = a*g. Find t such that g*t**3 - 2*t - 40 + 4*t**2 + 35 + t**2 - 3*t = 0.
-1, 1
Let p(j) be the first derivative of -j**3/6 - 36*j**2 - 695*j/2 + 5349. Find g, given that p(g) = 0.
-139, -5
Suppose -h - 11*y = -15*y - 22, 0 = -4*h - 5*y - 17. Factor -18*u + 2*u**h + 37*u + u**3 - 16*u - 2*u**3.
-u*(u - 3)*(u + 1)
Let o = 316 + -250. Solve -f**4 + 155*f + 21 - 15 - 135*f**2 - 2*f**4 - o + 45*f**3 - 2*f**4 = 0 for f.
1, 3, 4
Suppose -20*m - 2880 = 20*m. Let q be m/(-6)*1/5. Factor -12/5*k + 3/5 - q*k**3 + 18/5*k**2 + 3/5*k**4.
3*(k - 1)**4/5
Let b(d) be the second derivative of 64*d - 1/4*d**5 - 45/2