4 - 1/4*u**6 + 9/5*u**5 + w*u. Let h(q) = 0. What is q?
0, 1, 3
Let k(d) be the second derivative of d**4/12 - 571*d**3/6 - 1180*d. Factor k(n).
n*(n - 571)
Suppose t - 91 = 4*n + 21, -n = 4. Suppose -288*g - 26*g**3 + 14*g**3 - t*g**2 + 18*g**3 + 3*g**4 = 0. What is g?
-4, 0, 6
Let b(m) be the second derivative of 15*m**3 + 3*m**2 + 4*m - 7. Let g(j) = -j**2 - j - 2. Let c(x) = -b(x) - 3*g(x). Factor c(p).
3*p*(p - 29)
Suppose 2*s - 5 - 25 = -4*v, -31 = -10*v - s. Factor 0 + 2*x**v + 3/2*x**3 - 1/2*x**5 - 2*x - x**4.
-x*(x - 1)**2*(x + 2)**2/2
Let i(k) be the first derivative of k**4/32 - 5*k**3/12 - 71*k**2/16 - 15*k/2 - 728. Suppose i(h) = 0. What is h?
-4, -1, 15
Suppose -2*k - k - 15 = -51. Let b(j) be the first derivative of -k + 4/3*j**3 + 6*j**2 - 16*j. Factor b(r).
4*(r - 1)*(r + 4)
Suppose -2*a - 4193 = 4*n + 1725, 5*a + 14777 = -n. Let q = -14707/5 - a. Let -96/5*y + 292/5*y**3 + 84/5*y**4 - q*y**2 - 16/5 - 196/5*y**5 = 0. What is y?
-1, -2/7, 1
Let b(z) be the second derivative of -z**7/252 - 11*z**6/90 - 990*z. Factor b(r).
-r**4*(r + 22)/6
Let d(y) = 3*y**3 - 447*y**2 + 420*y - 6. Let w(v) = -5*v**3 + v - 1. Let u(f) = -d(f) + 6*w(f). Find x such that u(x) = 0.
0, 1, 138/11
Let j(l) be the second derivative of -14/5*l**5 + 0 + 72*l + 0*l**3 + 2/15*l**6 + 0*l**2 + 49/3*l**4. Factor j(v).
4*v**2*(v - 7)**2
Let m(h) be the third derivative of h**8/5040 + 29*h**7/630 + 841*h**6/180 + 37*h**5/30 - 52*h**2 - 1. Let q(o) be the third derivative of m(o). Factor q(i).
4*(i + 29)**2
Let c be 27*((2 - -13) + -8). Factor 17*f**2 + c - 14667*f**3 + 22*f**2 + 14664*f**3 - 153*f.
-3*(f - 7)*(f - 3)**2
Let o be (2/(-10))/(119 - 24030/200). Let o*r**5 - 14/23*r**3 - 6/23*r**4 + 18/23*r**2 - 12/23 + 10/23*r = 0. What is r?
-3/2, -1, 1, 2
Let h = 179 + -132. Suppose -h*l**2 - 40*l**2 - 42*l**2 + 126*l**2 - 36*l = 0. Calculate l.
-12, 0
Let j = -14224 - -14227. Let t(r) be the second derivative of 0 - 2/5*r**2 + 1/60*r**4 - 9*r - 1/10*r**j. Factor t(p).
(p - 4)*(p + 1)/5
Suppose 618 = -2*t + 3*g, -5*t - 29*g + 26*g = 1587. Let b = -5983/19 - t. Factor -2/19*n - 2/19*n**2 + 2/19 + b*n**3.
2*(n - 1)**2*(n + 1)/19
Let 3619*k - 3554*k + 3184*k - 5*k**2 - 8513*k - 9370805 - 8426*k = 0. Calculate k.
-1369
Let r = -123130 + 123132. Determine t so that 20/7*t**4 + 32/7*t**3 + 4/7*t**5 + 0 + 0*t + 16/7*t**r = 0.
-2, -1, 0
Let i(x) = -x**3 - 4*x**2 + 11*x - 4. Let y be i(-6). What is u in -u**3 - 17*u + 15*u - 5*u**y + 8*u = 0?
-6, 0, 1
Determine j, given that 48*j**4 + 51*j**4 - 356*j**3 - 322*j**3 - 96*j**4 - 681*j**2 = 0.
-1, 0, 227
Let t(h) = -12*h + 137. Let r be t(12). Let s(a) = -a**3 - 15*a**2 + 14*a + 7. Let n(b) = 8*b**2 - 8*b - 4. Let m(g) = r*n(g) - 4*s(g). Factor m(l).
4*l**2*(l + 1)
Let x(j) be the first derivative of 2*j**3/3 - 101*j**2 + 200*j - 4359. Factor x(l).
2*(l - 100)*(l - 1)
Let s = -749 + 761. Let v be (1 - 2)/(4/(-24)). Factor -v*f**3 + 10*f**3 - 8*f**3 + 16 - s*f**2.
-4*(f - 1)*(f + 2)**2
Let x(j) be the second derivative of -j**7/21 + 91*j**6/15 - 303*j**5/5 + 766*j**4/3 - 1688*j**3/3 + 672*j**2 - 3255*j. Factor x(g).
-2*(g - 84)*(g - 2)**3*(g - 1)
Suppose 17*x + 2759*h - 2756*h - 61 = 0, x - 3*h = -25. Factor 0 - 76/9*l**3 - 28/3*l**x - 8/9*l.
-4*l*(l + 1)*(19*l + 2)/9
Find m such that -26/9*m - 176/3 + 2/9*m**2 = 0.
-11, 24
Factor 276*m**2 - 559*m**2 - 3472 - 8688*m + 263*m**2.
-4*(m + 434)*(5*m + 2)
Let x = 932586397894/3244787270487 + -2/393164579. Let y = x + -2/1179. Factor 10/7*r**4 + 0 - 6/7*r**5 + 0*r - y*r**2 - 2/7*r**3.
-2*r**2*(r - 1)**2*(3*r + 1)/7
Let z be 55/(-15)*(-6)/4 - (357/14)/17. Find w, given that 3*w**2 - 1/4*w**z - 5/2*w - 11/4 + 5/2*w**3 = 0.
-1, 1, 11
Let v be -2 - (10616/(-48) - -4). Let c = v - 215. Factor 1/2*a - c*a**2 - 1/3.
-(a - 2)*(a - 1)/6
Suppose -18*c - 12*c = -60. Determine q, given that -7*q**2 - 17*q + 17*q - 4*q**3 - 10*q**c + 12*q**2 + q**4 = 0.
-1, 0, 5
Suppose -6*u = -2*u. Factor 60*q + u*q - 7*q + 24*q + 4*q**2 + 176 + 103*q.
4*(q + 1)*(q + 44)
Let h(x) be the first derivative of 1/18*x**6 + 3 + 0*x**4 + 4/9*x**3 + 0*x**2 + 0*x - 1/5*x**5. Let h(s) = 0. Calculate s.
-1, 0, 2
Let t(l) be the second derivative of 3*l**5/20 - 40*l**4 + 6237*l**3/2 + 19683*l**2 - 5558*l. Determine v so that t(v) = 0.
-2, 81
Determine r, given that -1246*r - 1374*r + 212582*r**2 - 425161*r**2 + 212571*r**2 - 1308 = 0.
-327, -1/2
Let l be (-48)/(-90) + ((6608/120)/7 - 8). Let 4/5*v**3 - l*v + 6/5 - 2/5*v**5 - 12/5*v**2 + 6/5*v**4 = 0. Calculate v.
-1, 1, 3
Let s = 41772 - 41768. Factor 4/7*q**3 + 0*q - 2/7*q**s - 2/7*q**2 + 0.
-2*q**2*(q - 1)**2/7
Let u(n) be the second derivative of -n**5/90 + n**4/6 - n**3 + 51*n**2 + 90*n. Let b(x) be the first derivative of u(x). Let b(c) = 0. Calculate c.
3
Find d, given that 304*d**3 + 4928*d - 4964*d + 44*d**2 + 24*d**2 = 0.
-9/19, 0, 1/4
Let t be 68420/2310*6/40 - (-42)/735. Factor 72*b + 2048/3*b**3 - 384*b**2 - t.
(16*b - 3)**3/6
Let m = 57463 - 459699/8. Find f such that m*f + 1/8*f**2 - 7/4 = 0.
-7, 2
Let s(w) be the third derivative of -w**6/60 + 163*w**5/60 - 27*w**4/8 + 1241*w**2. Factor s(x).
-x*(x - 81)*(2*x - 1)
Let d(t) be the third derivative of t**7/840 - 281*t**6/480 - 47*t**5/40 - 182*t**2 + 7*t. Find c, given that d(c) = 0.
-1, 0, 282
Let h(k) be the second derivative of k**6/900 - k**5/30 + 17*k**3/2 + 3*k + 19. Let x(q) be the second derivative of h(q). Determine y, given that x(y) = 0.
0, 10
Let h(j) be the second derivative of -9*j**7/35 + 33*j**6/5 - 69*j**5/25 - 74*j**4/5 + 72*j**3/5 + 1544*j. Determine u, given that h(u) = 0.
-1, 0, 2/3, 18
Let i be 1*(-12)/(-42) - (-30)/(-7). Let k(o) = -2*o**3 - 7*o**2 + o + 8. Let d be k(i). Let d*l + 5*l**3 + 8 + 1/2*l**4 + 33/2*l**2 = 0. What is l?
-4, -1
Let y(z) = 30*z**2 + 52*z - 84. Let d(w) = -17*w**2 - 26*w + 40. Let h(f) = -7*d(f) - 4*y(f). Determine t, given that h(t) = 0.
-28, 2
Let s(u) = -4148*u - 153474. Let j be s(-37). Suppose -2*c**3 + 8 - 47/2*c - 67/2*c**j = 0. What is c?
-16, -1, 1/4
Let m(c) = 2*c**2 - 26*c + 46. Let i be m(17). Find x, given that -75*x - 58*x + 3*x**2 + i*x - 67*x = 0.
0, 6
Let q(y) be the second derivative of -1/12*y**3 + 0 + 5/12*y**4 - 5/2*y**2 - 201*y + 1/40*y**5. Factor q(m).
(m - 1)*(m + 1)*(m + 10)/2
Let j be (-14)/(-4)*(-20)/(-14). Suppose j*t - 120 = -t. Factor -t + 2*g**2 + 8*g**2 - 5*g**2 + 0*g**2.
5*(g - 2)*(g + 2)
Let w(f) be the second derivative of f**4/16 + 53*f**3/4 + 1400*f. What is r in w(r) = 0?
-106, 0
Suppose 7*g - 73 + 52 = 0. Determine z, given that -2*z**g + 28*z - 36 - z**3 - z**3 - 18 + 30 = 0.
-3, 1, 2
Let m = -110095/9 - -12233. Determine a, given that -2/3*a - m*a**3 + 8/9*a**2 + 0 = 0.
0, 1, 3
Let d(z) = 4*z**2 + 15*z - 32. Let h be d(2). Let i be 33/14 + (-12)/h. Let 4*w**4 + 0*w + 0 - i*w**5 + 1/3*w**2 - 13/6*w**3 = 0. Calculate w.
0, 1/3, 2
Let l(f) be the first derivative of -138 + 150*f**4 + 220/3*f**3 - 5/4*f**2 - 5*f. Factor l(p).
5*(4*p + 1)**2*(15*p - 2)/2
Let n(i) be the second derivative of -343*i**2 + 21*i**4 + 1/15*i**6 - 196/3*i**3 + 6*i - 2*i**5 - 1. Factor n(a).
2*(a - 7)**3*(a + 1)
Let t(s) be the second derivative of 1/6*s**6 + 135/2*s**2 + 45*s**3 + 15*s**4 - 62*s + 0 + 5/2*s**5. Let t(x) = 0. What is x?
-3, -1
Factor 22/5*g - 168/5 + 1/5*g**2.
(g - 6)*(g + 28)/5
Factor -557176 - 18*t**2 + 557176 + 20*t - 2*t**3.
-2*t*(t - 1)*(t + 10)
Let c(b) be the third derivative of -b**7/210 + b**6/24 + 5*b**5/6 - 2489*b**2. Determine n so that c(n) = 0.
-5, 0, 10
Let j(t) = -1. Let q(v) be the second derivative of -v**4/3 + 2*v**3/3 + 7*v**2 - 7*v - 2. Let c(s) = 6*j(s) + q(s). Factor c(b).
-4*(b - 2)*(b + 1)
Let u(k) be the third derivative of k**7/735 + k**6/35 + 13*k**5/70 + k**4/3 - 7023*k**2. Factor u(w).
2*w*(w + 1)*(w + 4)*(w + 7)/7
Let m(h) = 3*h**2 + 7*h + 1. Let j(q) = -48*q**3 + 13557*q**2 + 6870*q + 861. Let u(y) = j(y) - 15*m(y). Factor u(o).
-3*(o - 282)*(4*o + 1)**2
Suppose -5 = -5*f + 5. Suppose 3*j - 19 = f*v, -j - 3*v + 2*v = 2. Determine l, given that 37*l**4 + 81*l**3 + 121*l**2 - 40*l**2 - 10*l**4 + j*l**5 = 0.
-3, 0
Let f(i) be the second derivative of -10 + 216/7*i**2 + 1/28*i**4 - 12/7*i**3 - i. Factor f(j).
3*(j - 12)**2/7
Suppose 3*c + 31587*v = 31582*v + 70, 4*v - 56 = 5*c. Solve 4/5*p**4 + 0*p + 0 + 