f r**9/4536 - r**8/210 + r**7/60 - r**6/54 + 80*r**3/3 - 73. Let a(d) be the third derivative of u(d). Solve a(m) = 0 for m.
0, 1, 10
Let q(d) be the first derivative of 3*d**5/5 + 3*d**4 - d**3 - 24*d**2 - 36*d + 3040. What is j in q(j) = 0?
-3, -2, -1, 2
Let b(x) = -247*x + 7661. Let w be b(31). Let f(k) be the third derivative of -13*k**2 - 3/5*k**3 + 0 + 0*k - 1/100*k**5 - 1/8*k**w. What is q in f(q) = 0?
-3, -2
Determine g, given that 0 - 1/2*g**3 + 3/2*g**2 + 5*g = 0.
-2, 0, 5
Let u(o) be the second derivative of -2*o**6/15 - 2*o**5 - 7*o**4/3 + 12*o**3 - 6386*o. Factor u(b).
-4*b*(b - 1)*(b + 2)*(b + 9)
Factor 87*f**2 + 153*f**3 - 735/2 - 1687/4*f.
(6*f + 7)**2*(17*f - 30)/4
Let q(v) = 25*v + 13. Let k be q(2). Factor -50*t**3 + k - 66 + 109*t**2 + 5*t**4 + 56*t**2 - 220*t + 103.
5*(t - 5)*(t - 2)**2*(t - 1)
Suppose -4*s = -5*a + 4, 5*s = -6*a + a - 5. Suppose 148*k - 118*k - 60 = a. Determine r so that 2/3*r**k - 4/15 + 2/5*r = 0.
-1, 2/5
Let v = 37 + -40. Let n be (2 - -1) + v - -7. What is w in -2*w**2 + 0*w**2 - 36 + 31*w - 2*w**2 - n*w = 0?
3
Factor 0*w**2 - 644 + 2*w**2 - w**2 + 100*w - 36*w + 3*w**2.
4*(w - 7)*(w + 23)
Solve 3/5*x**4 + 0 - 1107/5*x**2 - 21/5*x**3 - 1215*x = 0.
-9, 0, 25
Let l be (-6 - -1) + (6 - -30)/(-4). Let o(v) = 7*v + 100. Let z be o(l). Solve -z*x**3 + 0 - 3/2*x - 19/4*x**2 + 5/4*x**4 = 0.
-1, -2/5, 0, 3
Let s(a) = a**3 - 184*a**2 + 1565*a + 92. Let z be s(9). Factor -1152/7 + 96/7*f - 2/7*f**z.
-2*(f - 24)**2/7
Let 35*a**3 - 3666*a - 70 + 20*a**3 - 5*a**4 - 165*a**2 + 1951*a + 1900*a = 0. What is a?
1, 2, 7
Let k(h) be the second derivative of -h**6/180 + h**5/30 - 4*h**3/9 - 29*h**2/2 - 14*h. Let w(n) be the first derivative of k(n). Factor w(v).
-2*(v - 2)**2*(v + 1)/3
Let k be (24176/(-15110))/((-32)/30 + 0). Factor -k*y**2 + 18 - 3/2*y.
-3*(y - 3)*(y + 4)/2
Let g(t) be the third derivative of 2/15*t**7 - 29/15*t**6 + 0*t - 52/3*t**4 + 9*t**5 + 0 - 125*t**2 + 40/3*t**3. Solve g(z) = 0 for z.
2/7, 1, 2, 5
Let i(k) be the third derivative of k**7/70 + 47*k**6/10 - 57*k**5/2 + 143*k**4/2 - 191*k**3/2 + 2294*k**2. Solve i(h) = 0.
-191, 1
Let 531/4*o**4 - 4725/4*o + 3435/2*o**2 + 375/4 - 1509/2*o**3 - 33/4*o**5 = 0. Calculate o.
1/11, 1, 5
Let c(y) = -40*y**2 + 4238*y - 2242962. Let v(h) = -59*h**2 + 4239*h - 2242962. Let o(w) = 3*c(w) - 2*v(w). Factor o(f).
-2*(f - 1059)**2
Let b(f) = -4*f**2. Let l(z) = 11*z**2 - 142*z - 120. Let q(m) = 6*b(m) + l(m). What is v in q(v) = 0?
-10, -12/13
Let h = 57409/39 - 17767/13. Let h*m - 24 + 12*m**2 = 0. Calculate m.
-9, 2/9
Suppose -200*v = -224*v + 72. Let j(n) be the third derivative of -2/21*n**v + 0*n + 1/420*n**5 + 1/56*n**4 + 0 - 17*n**2. Factor j(f).
(f - 1)*(f + 4)/7
Let t(y) be the second derivative of y**7/42 + 11*y**6/10 - 181*y**5/20 + 335*y**4/12 - 44*y**3 + 38*y**2 + 1497*y. Find v such that t(v) = 0.
-38, 1, 2
Let n(p) = -3*p**5 + p**3 - p**2 - 3*p + 1. Let f(i) = 11*i**5 + 1486*i**4 + 5917*i**3 + 5915*i**2 + 9*i - 3. Let k(a) = f(a) + 3*n(a). Factor k(u).
2*u**2*(u + 2)**2*(u + 739)
Let s(x) = -30*x**3 + 50*x**2 - 64*x + 244. Let y(t) = 2*t**3 - 2*t**2 - t - 11. Let c(a) = 2*s(a) + 28*y(a). Find u, given that c(u) = 0.
3, 5
Let i = 3605/94 + -886/47. Solve -6 + 36*d + i*d**2 = 0.
-2, 2/13
Suppose 25*p + 1440 = 37*p. Let t be 390/p - (1 + 2). Find u, given that 1/4*u - 1/4 + 1/4*u**2 - t*u**3 = 0.
-1, 1
Let o be (-4 + 104/12)*(-480)/112. Let m be (-15)/((-300)/(-40)) - o/9. Factor 2*b - 16/9 - m*b**2.
-2*(b - 8)*(b - 1)/9
Suppose 0 = -3*t - 5*l + 2, -t - 2*l = -0*t. Let t*v - 3*v**4 + 6 + 0*v**2 + 9*v**2 - 3 - 15 + 8*v - 6*v**3 = 0. What is v?
-2, 1
Suppose 5*t - 50 = -5*b, 2*b + 0*t = 3*t. What is w in 22*w**4 - b*w**3 - 10*w**2 - 61*w**4 + 24*w**4 + 6*w + 3 + 17*w**4 + 5 = 0?
-1, 1, 4
Factor -8*f + 199 + 117*f + 2*f**2 - 199 - f**2.
f*(f + 109)
Let s be (-21)/84 + 116/208. Let 0 - 2/13*k**3 + 2/13*k**2 + s*k = 0. Calculate k.
-1, 0, 2
Let d = -716689 - -716691. Factor -12*u**d - 2/3*u**3 + 0 - 64/3*u.
-2*u*(u + 2)*(u + 16)/3
Let u be 14/(-11 + 69/6). Let q be 112/(-140) - u/(-10). Determine v, given that 9/4*v**5 + 15/4*v**4 - 21/2*v**3 - 3/2*v**q - 9/4 + 33/4*v = 0.
-3, -1, 1/3, 1
Let l(z) = -7*z**2 - 1192*z - 177583. Let p(r) = 6*r**2 + 1192*r + 177588. Let j(v) = 4*l(v) + 5*p(v). Factor j(c).
2*(c + 298)**2
Let j = -8782/61 + 46716/305. Factor 0 + j*k**2 + 44/5*k + 2/5*k**3.
2*k*(k + 1)*(k + 22)/5
Suppose 83 = g + 72. Let m(f) be the second derivative of g*f + 0*f**2 + 1/84*f**7 - 1/40*f**5 + 0 - 1/30*f**6 + 1/12*f**4 + 0*f**3. Factor m(v).
v**2*(v - 2)*(v - 1)*(v + 1)/2
Let m be 611/(-1222) + 27/30. Factor m + 2/15*k**2 - 8/15*k.
2*(k - 3)*(k - 1)/15
Let i(r) = -21*r**2 + 513*r + 2793. Let j(m) = -5*m**2 + 128*m + 699. Let p(q) = 2*i(q) - 9*j(q). Determine c, given that p(c) = 0.
-5, 47
Factor 61*g**2 - 10*g**4 - 8*g**3 + 2*g**5 - 2*g**2 - 19*g**2.
2*g**2*(g - 5)*(g - 2)*(g + 2)
Let s(n) be the third derivative of -n**7/135 - 2183*n**6/270 - 2489*n**5/90 - 466*n**4/27 + 1244*n**3/27 - 6749*n**2. Solve s(l) = 0.
-622, -1, 2/7
Let h(p) be the second derivative of -31*p + 0 + 0*p**2 - 1/3*p**4 + 1/5*p**5 + 2/15*p**6 + 0*p**3 - 2/21*p**7. Suppose h(u) = 0. What is u?
-1, 0, 1
Factor -21 + 188*q + 491*q**2 - 579*q**2 - 75 - 4*q**3.
-4*(q - 1)**2*(q + 24)
Let i(c) = 7*c**3 - 26*c**2 + 61*c - 30. Let g(h) = 6 + h - h**2 - 17*h**3 - 6 + 19*h**3. Let n(j) = -6*g(j) + i(j). Factor n(r).
-5*(r - 1)**2*(r + 6)
Let o(d) be the third derivative of d**5/30 + 205*d**4/12 + 398*d**3 - 327*d**2 + d. Suppose o(n) = 0. Calculate n.
-199, -6
Suppose 39*h = 53*h - 196. Factor -413*o**5 + 827*o**5 - h*o - 33*o**2 + 9*o**4 - 411*o**5 - 4*o - 9*o**3.
3*o*(o - 2)*(o + 1)**2*(o + 3)
Factor -4/5 + 757/5*h**2 - 1512/5*h.
(h - 2)*(757*h + 2)/5
Let t(s) = -s**3 + 21*s**2 - 12*s - 160. Let j = 801 - 781. Let b be t(j). Factor u**3 + 0 + b*u - 3/2*u**2 + 1/2*u**4.
u**2*(u - 1)*(u + 3)/2
Let z = 2416 - 2413. Let r(x) be the first derivative of -2 + 2*x**2 + 5/9*x**z + 4/3*x. Find m such that r(m) = 0.
-2, -2/5
Factor 1102 - 44*b**2 - 46*b**2 + 133*b**2 - 44*b**2 + 39*b.
-(b - 58)*(b + 19)
Factor 0 - 147/2*g - 3/2*g**5 + 126*g**2 - 18*g**4 - 33*g**3.
-3*g*(g - 1)**2*(g + 7)**2/2
Let g be (3/(-9))/((-2)/18) + -1. Factor -5*t**3 - 39*t**2 + 69*t**g - 40*t**2.
-5*t**2*(t + 2)
Let h(q) be the second derivative of q**5 + 375*q**4/4 + 1105*q**3/6 + 2*q - 141. Find r such that h(r) = 0.
-221/4, -1, 0
Factor -326*h + 45*h**2 - 5*h**4 + 186*h + 160*h - 60.
-5*(h - 3)*(h - 1)*(h + 2)**2
Let y(h) be the third derivative of -83/40*h**6 + 28*h**5 + 0*h + 0*h**3 + 3/70*h**7 + 49/2*h**4 - 76*h**2 + 0. Factor y(s).
3*s*(s - 14)**2*(3*s + 1)
Let l be ((-19)/(-12) + (-6)/18)/((333375/(-254))/(-175)). Determine f, given that -l*f**4 + 12 + 2*f - 23/3*f**2 + 13/6*f**3 = 0.
-1, 2, 6
Let n(l) be the first derivative of 0*l**2 - 30 + 0*l - 3/8*l**4 + l**3. Factor n(q).
-3*q**2*(q - 2)/2
Let q(n) = n**2 - 5*n - 17. Let b be q(0). Let t be 78/9 - (-136)/b. Factor t - c + 1/3*c**3 + 0*c**2.
(c - 1)**2*(c + 2)/3
Let c(z) be the first derivative of -z**5/40 + z**4/24 + 2*z + 32. Let n(u) be the first derivative of c(u). Factor n(o).
-o**2*(o - 1)/2
Let a = 27331/1955 + -3042/391. Solve 1/5*x**3 + 22/5 - a*x + 8/5*x**2 = 0 for x.
-11, 1, 2
Factor 15*y - 41*y + 24*y + 247*y + 382 + 138*y + y**2.
(y + 1)*(y + 382)
Let n(q) = 8*q**4 + 33*q**3 + 22*q**2 - 3. Let i be 5 - 1/((-1)/(-2)). Let o(f) = 7*f**4 + 32*f**3 + 23*f**2 - 2. Let s(k) = i*o(k) - 2*n(k). Solve s(z) = 0.
-5, -1, 0
Let -17803 - 3*o**3 - 6900*o + 12778 + 17721 + 282*o**2 = 0. Calculate o.
2, 46
Let z = 14728549/3 - 4909516. Let x be 6/(1 - (-7)/2). Let 0*t - 2*t**5 - 1/3*t**4 + 0 - z*t**2 + x*t**3 = 0. What is t?
-1, 0, 1/3, 1/2
Let k(f) be the second derivative of f**6/70 - 9*f**5/28 + 19*f**4/14 + 72*f**3/7 + 3820*f. Find t, given that k(t) = 0.
-2, 0, 8, 9
Suppose -4*s = -3*c + 14, -4*c + 3*s = -5 - 9. Factor 301*o**2 - 68*o + 299*o**2 - 1156 - 601*o**c.
-(o + 34)**2
What is p in 0*p + 0 + 101/7*p**3 - 2/7*p**4 + 51/7*p**2 = 0?
-1/2, 0, 51
Let h(r) be the second derivative of -r**4/54 + 113*r**3/27 + 590*r**2/9 + 1591*r. Find k, given that h(k) = 0.
-5, 118
Let d(t) = -t**3 + 23*t**2 + 54*t - 96. Let o be d(25). Suppose 5*u - 2*h = -7*h - 15