0, 42
Find y, given that 6*y + 0 + 74/5*y**2 + 44/5*y**3 = 0.
-1, -15/22, 0
Let u(m) = 5623*m**2 + 7*m - 5. Let b be u(1). Factor -51*i - 86*i**2 + 42*i**2 + 201*i + 45*i**2 + b.
(i + 75)**2
Let j(z) = 43*z**5 - 80*z**4 + 41*z**3 + 2*z**2 - 2*z + 2. Let q(k) = 2*k**4 + k**3 - k + 1. Let p(x) = -5*j(x) + 10*q(x). Factor p(m).
-5*m**2*(m - 1)**2*(43*m + 2)
Let n = 1/6827 - -6821/40962. Determine q, given that n*q**3 + 4/3*q - 5/6*q**2 - 2/3 = 0.
1, 2
Let u(y) be the first derivative of -1/2*y**4 + 236 + 76*y**2 + 46/3*y**3 + 104*y. Factor u(z).
-2*(z - 26)*(z + 1)*(z + 2)
Let y(j) be the third derivative of -11*j**6/60 - 97*j**5/30 - 62*j**4/3 - 48*j**3 - 857*j**2. Factor y(r).
-2*(r + 4)**2*(11*r + 9)
Let v(o) be the first derivative of -o**4/2 - 122*o**3/3 - 499*o**2 + 1122*o - 16271. Determine g, given that v(g) = 0.
-51, -11, 1
Let v = 22 - 22. Suppose -x + h + 5 = v, -h + 1 = x - 0*x. What is k in -53*k**3 + 44*k - 124*k - 62*k**3 + 135*k**x - 80 + 5*k**4 = 0?
-2, 2
Suppose -459 = -o - t, o + 8*t - 450 = 4*t. Let g = 1849/4 - o. Factor 0 - 1/4*n + g*n**2.
n*(n - 1)/4
Let d(f) = -11*f**3 - 86*f**2 - 314*f + 6. Let o(b) = -34*b**3 - 259*b**2 - 941*b + 19. Let y(c) = -19*d(c) + 6*o(c). Suppose y(h) = 0. What is h?
-8, 0
Let d(k) be the first derivative of 1/9*k**6 - 3/2*k**4 + 8/3*k**2 - 26/9*k**3 + 2/15*k**5 + 223 + 8*k. Let d(l) = 0. Calculate l.
-2, -1, 1, 3
Let w be 0 + 16/28*7. Let r be -4*(-5)/280*(0 + w). Suppose 0*v**2 + 0 + r*v**3 + 0*v = 0. Calculate v.
0
Factor 18 - 1038*k - 279*k**2 - 618 - 259*k**4 + 154*k**3 - 258*k**4 + 514*k**4 + 2*k**3.
-3*(k - 50)*(k - 4)*(k + 1)**2
Let q(d) be the third derivative of -5/2*d**4 + 2/5*d**5 + 0 + 1/40*d**6 + 0*d + 0*d**3 + 259*d**2. Factor q(v).
3*v*(v - 2)*(v + 10)
Let w(a) = -2*a**2 + 8*a + 2. Let h be w(4). Find s, given that -17*s**2 - h*s**4 - s**2 - 15*s**3 + 27*s**3 + 8*s = 0.
0, 1, 4
Let q(l) = -4*l**4 - 24*l**3 + 25*l**2 - 12*l. Let m(i) = 2*i**4 - i**3 - 2*i. Let k be ((-3)/(-4))/(8/((-160)/5)). Let n(a) = k*m(a) + q(a). Factor n(u).
-u*(u + 3)*(2*u - 1)*(5*u - 2)
Let z = -1165658 - -1165660. Factor -1/3*w**z - 3*w - 14/3.
-(w + 2)*(w + 7)/3
Let n(v) be the third derivative of v**5/300 - 11*v**4/30 + 14*v**3/5 - 89*v**2 - v - 1. Determine h so that n(h) = 0.
2, 42
Let s be -16*12*5/40*(-34)/8. Factor 2/7*r**3 + s*r - 1156/7 - 72/7*r**2.
2*(r - 17)**2*(r - 2)/7
Let k(o) be the third derivative of 6*o**7/7 + 53*o**6/20 - 53*o**5/30 - 5*o**4/3 + 4*o**3/3 - 56*o**2 - 6. Let k(t) = 0. What is t?
-2, -1/3, 1/6, 2/5
Let x(w) = 2*w + 4. Let b be ((0/2)/(4 - 2))/1. Let r be x(b). Let -h**4 + 6*h**3 + 7*h**4 + 3*h**5 + 0*h**r + 3*h**4 = 0. What is h?
-2, -1, 0
Factor -23836 - 16*r**2 - 643*r + 24140 - 569*r.
-4*(r + 76)*(4*r - 1)
Suppose -422 = -6*v - 236. Factor v*f - 175*f**2 - 87*f**3 + 153*f**2 + 644*f - 563*f**2 - 3*f**4.
-3*f*(f - 1)*(f + 15)**2
Let s(x) = 6*x**3 + 698*x**2 - 697*x - 84. Let y(o) = -2*o**3 - 232*o**2 + 232*o + 24. Let i(c) = 4*s(c) + 14*y(c). Let i(r) = 0. Calculate r.
-115, 0, 1
Suppose 1066*t - 1043*t = 161. Let b(z) be the third derivative of 0 - 1/120*z**6 + 0*z + 0*z**4 - 10*z**2 - 1/210*z**t + 0*z**5 + 0*z**3. Solve b(s) = 0 for s.
-1, 0
Let y(a) be the first derivative of -1/3*a**2 - 5*a - 19 - 1/9*a**3 - 1/72*a**4. Let q(j) be the first derivative of y(j). Factor q(p).
-(p + 2)**2/6
Let o(m) = -4*m**3 + 259*m**2 + 1491*m + 2304. Let i(k) = 3*k**3 - 195*k**2 - 1118*k - 1728. Let p(q) = 9*i(q) + 7*o(q). Solve p(c) = 0.
-3, 64
Let b(h) = 18*h**2 + 1068*h - 174. Let o(c) = -16*c**2 - 1068*c + 184. Let t(j) = 3*b(j) + 4*o(j). Determine g, given that t(g) = 0.
-107, 1/5
Let k = 2/48837 - -48805/781392. Let h(l) be the first derivative of 1/8*l**2 - 1/12*l**3 - 23 + 0*l - k*l**4 + 1/20*l**5. Solve h(o) = 0.
-1, 0, 1
Suppose 3*q = -5*l + 16, 9*l - 3*q = 5*l + 2. Suppose -9*d + 15*d - 8 + 4*d**2 - 5*d**l = 0. What is d?
2, 4
Let r = 6 - 1. Determine s so that -3*s**4 + r*s**2 - 2*s**4 + 18734 - 18734 - 80*s**3 + 80*s = 0.
-16, -1, 0, 1
Let z(t) be the third derivative of -t**8/784 - t**7/98 + t**6/140 + t**5/14 - t**4/56 - 5*t**3/14 - t**2 + 142*t. Find w such that z(w) = 0.
-5, -1, 1
Let r(c) be the third derivative of 2*c**7/105 - 8*c**6/15 + 76*c**5/15 - 16*c**4 - 2732*c**2. Factor r(l).
4*l*(l - 8)*(l - 6)*(l - 2)
Suppose -229*y - 1503*y + 4132 = 334*y. Determine a so that 2/5*a**5 + 64/5*a**4 + 506/5*a**3 + 1024/5 - 188/5*a**y - 1408/5*a = 0.
-16, -2, 1
Let i(n) be the third derivative of 0 + 0*n + 3/8*n**4 + 1/600*n**5 + 135/4*n**3 + 32*n**2. Factor i(t).
(t + 45)**2/10
Suppose -5*r = 20, -d = 3*d - 3*r + 16. Let g be 2/d - 736/(-224). Let 5 + 2*k**2 - 15*k + 9*k**2 + 2*k - k**g - 2*k**3 = 0. What is k?
1, 5/3
Factor -84*i**3 + 2*i**4 - 2181250*i**2 - 1742*i + 800 + 62*i + 2182212*i**2.
2*(i - 20)**2*(i - 1)**2
Find a such that -172*a**4 + 216*a**3 + 152*a**4 + 712*a**2 - 96*a - 11*a**3 - 50 - 462 + 71*a**3 = 0.
-2, -1, 4/5, 16
Let c(p) = -9*p**2 + p - 21*p + 50 - 148*p - 12*p. Let i(m) = -19*m**2 - 360*m + 99. Let y(w) = -5*c(w) + 2*i(w). Factor y(b).
(b + 26)*(7*b - 2)
Let p = 2491/346 - -1/1730. Let n(x) be the first derivative of 24 - 6/5*x**2 - 1/15*x**3 - p*x. Factor n(h).
-(h + 6)**2/5
Find z such that 10224/7*z - 5184/7 - 4897/7*z**2 - 142/7*z**3 - 1/7*z**4 = 0.
-72, 1
Let b(n) be the first derivative of n**7/945 - n**6/135 + n**5/45 - n**4/27 + n**3/27 + 27*n**2/2 - 73. Let w(p) be the second derivative of b(p). Factor w(g).
2*(g - 1)**4/9
Let p(n) = 9*n**3 - 546*n**2 - 659*n + 13. Let g(c) = 3*c**3 - 183*c**2 - 218*c + 4. Let z(k) = 13*g(k) - 4*p(k). Solve z(j) = 0 for j.
-1, 0, 66
Let v = -33 + 71. Let b = -34 + v. Determine c, given that -1656*c**3 + 0*c**b + 1647*c**3 - 3*c**4 = 0.
-3, 0
Let d(n) be the second derivative of 26*n - 10*n**3 + 1 - 1/10*n**6 - 21/20*n**5 - 12*n**2 - 9/2*n**4. Factor d(m).
-3*(m + 1)*(m + 2)**3
Let g = -1073335 + 1073338. Solve 1568/13*q + 0 + 114/13*q**g + 1680/13*q**2 + 2/13*q**4 = 0 for q.
-28, -1, 0
Let l be 24/(-4)*(-3)/6. Suppose 3*x = l + 42. Determine t so that t**2 + 15*t - 6*t**2 - 5 + 24*t**4 - 14*t**4 - x*t**3 = 0.
-1, 1/2, 1
Factor -2758*n - 12*n**2 - 6035*n + 7*n**2 + 2940 + 5858*n.
-5*(n - 1)*(n + 588)
Let m(j) be the first derivative of -j**8/560 - j**7/56 - j**6/30 - 60*j**3 - 177. Let t(w) be the third derivative of m(w). Determine g so that t(g) = 0.
-4, -1, 0
Let z = -7679 - -7683. Let a(l) be the third derivative of 1/7*l**3 + 0 + 1/280*l**6 - 3/140*l**5 - l**2 - 1/56*l**z + 0*l + 1/490*l**7. Factor a(w).
3*(w - 1)**2*(w + 1)*(w + 2)/7
Factor -270*k**2 - k**3 - 45*k - 54 - 281*k**2 + 815*k**2 - 276*k**2.
-(k + 3)**2*(k + 6)
Let b(t) be the third derivative of 1/10*t**6 + 2/105*t**7 - 4/3*t**3 - 1/2*t**4 + 0*t - 63*t**2 + 1/15*t**5 + 0. Determine g, given that b(g) = 0.
-2, -1, 1
Determine q so that -14/3 + 2/3*q**2 + 4*q = 0.
-7, 1
Suppose -44*o + 23*o + 378 = 0. Let u be (-5 + -11)*(-3)/o. Let u*m - 8/3 - 2/3*m**2 = 0. Calculate m.
2
Let n(l) be the second derivative of l**7/189 - 26*l**6/135 - 4659*l. Factor n(h).
2*h**4*(h - 26)/9
Let t be -1 + (-151)/(-55) + (96/440)/(8/(-20)). Suppose 4/5*u**2 - 2/5*u**3 + 0 + t*u = 0. What is u?
-1, 0, 3
Let b(w) be the second derivative of -3/4*w**2 + 2 - 13*w - 5/4*w**3 - 1/2*w**4. Factor b(c).
-3*(c + 1)*(4*c + 1)/2
Suppose 2*i - 5*n = 166, 308 = 4*i + 2*n - 0*n. Factor 236*h**3 - 77*h**3 - 77*h**3 - i*h**3.
4*h**3
Suppose 432*h - 288*h**2 + 628/7*h**3 + 4/7*h**5 - 1728/7 - 88/7*h**4 = 0. What is h?
2, 3, 12
Let h(g) = 216*g**2 - 884*g - 940. Let f(x) = -97*x**2 + 393*x + 418. Let l(y) = 20*f(y) + 9*h(y). Factor l(n).
4*(n - 25)*(n + 1)
Let h be ((-73224)/(-528))/(261/12). Let z = h - 90/29. Suppose 8/11 - 34/11*f**2 - 10/11*f**4 + 0*f + z*f**3 = 0. What is f?
-2/5, 1, 2
Let b(r) = r**4 + r - 10*r**3 + r + 4*r**2 - r**2. Let y(w) = 9*w**3 - 3*w**2 - 3*w. Suppose 0 = 3*s + 13 - 4. Let z(p) = s*b(p) - 4*y(p). Factor z(k).
-3*k*(k - 1)*(k + 1)*(k + 2)
Suppose -32 + 14 = -9*p. Solve -15*x**2 + 4*x**3 + 10*x**4 + 18 - 70*x - 80*x + p*x**5 - 13*x**2 + 144*x = 0 for x.
-3, -1, 1
Let j(v) be the second derivative of 3*v**5/20 + 60*v**4 + 239*v**3/2 - v - 1932. Factor j(h).
3*h*(h + 1)*(h + 239)
Let m(i) be the first derivative of 0*i - 2/3*i**2 + 28 - 1/9*i**3. Fact