(w - 4)*(w + 1)**3
Let f(i) be the first derivative of 7*i**5 - 95*i**4/4 - 710*i**3 + 3620*i**2 + 2240*i - 2232. Let f(o) = 0. What is o?
-8, -2/7, 4, 7
Let k(n) = 10*n - 40. Let s be k(5). Let q be (-23)/(-40) - (7 - 68/s). Factor -3/8*u**4 - 3/8*u**5 + 0*u + 3/8*u**2 + q*u**3 + 0.
-3*u**2*(u - 1)*(u + 1)**2/8
Suppose -66 = 16*v - 22*v. Determine w, given that 2*w**5 + 36*w**4 - 28*w**3 + v*w - 8*w**5 + 2*w**5 + 23*w - 2*w - 36*w**2 = 0.
-1, 0, 1, 8
Let p(g) = -4*g**2 - 18*g + 17. Let a be p(-6). Let j(m) = m**3 + 21*m**2 + 37*m - 17. Let f be j(a). Suppose 4 - 9*k**f - 9/2*k**3 + 2*k = 0. Calculate k.
-2, -2/3, 2/3
Factor 11*a**2 + 205/6*a + 23 - 1/6*a**3.
-(a - 69)*(a + 1)*(a + 2)/6
Suppose -2*d - 59*d - 124 = -607 + 300. Determine a so that 9/2*a**4 + 9/2 + 33/2*a + 15*a**d + 1/2*a**5 + 23*a**2 = 0.
-3, -1
Suppose -9718 = -19*s - 2783. Let -s - 2*p**2 + 345 + 17*p - 3*p = 0. Calculate p.
2, 5
Find i, given that 2*i**4 - 2*i**3 + 12/5*i + 0 - 2/5*i**5 - 2*i**2 = 0.
-1, 0, 1, 2, 3
Let 45*g**5 - 52 - 346*g + 833/2*g**3 - 429*g**2 + 731/2*g**4 = 0. What is g?
-13/2, -2, -2/5, -2/9, 1
Let q(b) be the first derivative of 117*b**4/14 + 53*b**3/7 - 15*b**2/7 - 850. Find s such that q(s) = 0.
-5/6, 0, 2/13
Let s(n) be the first derivative of n**6/40 + 3*n**5/8 + 3*n**4/4 - 9*n**3 + 120*n + 252. Let x(w) be the first derivative of s(w). Factor x(o).
3*o*(o - 2)*(o + 6)**2/4
Let c(z) = 2*z**2 - 5*z + 8. Let r be c(3). Find l, given that -2*l**5 + 4*l - l**2 + 6*l**3 - 14826*l**4 + 14824*l**4 + r*l**2 = 0.
-1, 0, 2
Let y be (43*15)/(-59 - -60). Let z = y - 642. Factor 0 + 1/3*s + 0*s**4 + 1/3*s**5 + 0*s**2 - 2/3*s**z.
s*(s - 1)**2*(s + 1)**2/3
Suppose 5*r - 95*b = -91*b + 4, -4*r = -4*b - 4. Let f(a) be the first derivative of -8 + r*a**2 + 3/2*a - 1/2*a**3. Find u such that f(u) = 0.
-1, 1
Let f(i) be the third derivative of 5*i**4/24 - 28*i**3 + 167*i**2. Let l be f(34). Solve -l*j**2 + 0 - 1/2*j**3 - 3/2*j = 0 for j.
-3, -1, 0
Let t be -4 + ((-3080)/125)/11*10/(-4). Let h(k) be the first derivative of 3*k**4 + 0*k**3 + 8 + 0*k - 2/3*k**6 + 0*k**2 + t*k**5. Solve h(u) = 0.
-1, 0, 3
Let y(d) be the third derivative of d**7/70 + 43*d**6/40 - 58*d**5/5 + 95*d**4/2 - 96*d**3 - 2086*d**2. Solve y(j) = 0.
-48, 1, 2
Suppose 0 = 2*p - 10, -5*c - 53 = 2*p - 83. Let l(y) be the first derivative of 17 - 1/10*y**5 + 1/4*y**2 + 0*y + 1/6*y**3 - 1/8*y**c. Factor l(x).
-x*(x - 1)*(x + 1)**2/2
Suppose -77*y + 66*y + 22 + 22 = 0. Let a(p) be the second derivative of 5/4*p**y + 0 - 15*p - 5/6*p**3 - 15/2*p**2 + 1/4*p**5. Solve a(q) = 0.
-3, -1, 1
Let z(v) be the third derivative of -9/110*v**5 + 15/44*v**4 + v**2 + 1/220*v**6 + 25/11*v**3 + 43 + 0*v. Suppose z(d) = 0. What is d?
-1, 5
Let y be 319/(-58)*4/(-440). Let w(r) be the second derivative of 2*r**2 - 2/3*r**3 + 0 - 1/12*r**4 + 20*r + y*r**5. Let w(i) = 0. What is i?
-2, 1, 2
Let a(n) be the first derivative of -2*n**5/5 - 493*n**4/6 + 1978*n**3/27 - 55*n**2/3 - 2889. Find t, given that a(t) = 0.
-165, 0, 1/3
Let n be (-14144)/15912 + (-67)/(-45). Suppose 3/5*c**3 - 63/5*c + n*c**2 - 27 = 0. Calculate c.
-3, 5
Let m(c) = 3*c + 10. Let a(l) = 6*l**2 + 6*l - 3. Let z(b) = 5*b**2 + 5*b - 2. Let r(t) = -4*a(t) + 5*z(t). Let n(o) = m(o) - r(o). Solve n(x) = 0 for x.
-2, 4
Suppose 588 = 13*p - p. Suppose -3*s - n = -p + 37, -2*s + 5*n - 9 = 0. Find j, given that 0*j - 5/3*j**s + 0*j**2 + 10/3*j**4 - 5/3*j**5 + 0 = 0.
0, 1
Let w be (4 - -4) + 712/(-144) + -3. Let x(y) be the first derivative of -w*y**4 - 1/9*y**2 - 4/27*y**3 - 1 + 0*y. Factor x(n).
-2*n*(n + 1)**2/9
Let m(o) = -2*o**2 - 2*o - 3. Let j(f) = -f**2. Let k(z) = 3*j(z) - m(z). Let v be k(2). Factor 6/5*l**2 - 6/5 + 2/5*l - 2/5*l**v.
-2*(l - 3)*(l - 1)*(l + 1)/5
Let j be (-10 + 2)/((-15)/(-6) + -3). Let i be j/(-6)*18/(-12). Suppose -p + i*p**2 + 7*p + 2*p = 0. What is p?
-2, 0
Let i(o) be the first derivative of 3*o**5/5 - o**4/4 - 11*o**3/2 - 9*o**2 - 90*o - 79. Let b(x) be the first derivative of i(x). Suppose b(s) = 0. What is s?
-1, -3/4, 2
Let w be (2115/252)/5 - ((5 - -1) + (-46)/7). Factor w - 1/4*c**2 + 0*c.
-(c - 3)*(c + 3)/4
Let z**2 + 499 - 864 - 17*z + 305 = 0. Calculate z.
-3, 20
Find g, given that 0 - 16/3*g**2 - 1/9*g**4 + 100/9*g - 17/3*g**3 = 0.
-50, -2, 0, 1
Suppose 5*h + 28 = 9*h. Suppose p - h = -5. Find w such that w - 22*w**3 + 21*w**3 - 2 + 3*w**2 - w**p = 0.
-1, 1, 2
Let i(a) = -3*a**2 + 120*a - 1450. Let z(x) = -3*x**2 + 114*x - 1449. Let l(u) = 3*i(u) - 2*z(u). Factor l(r).
-3*(r - 22)**2
Let y(t) be the second derivative of t**5/4 + 5*t**4/6 - 155*t**3/2 - 675*t**2 - 29*t - 36. Suppose y(f) = 0. What is f?
-9, -3, 10
Solve -2*x**3 - 332291*x**2 - 13*x**3 + 331741*x**2 + 185*x = 0 for x.
-37, 0, 1/3
Let s be 12/(-23*(-360)/32200). Factor -2450/3 - 2/3*y**2 + s*y.
-2*(y - 35)**2/3
Let q(s) be the third derivative of s**7/630 + s**6/180 - 7*s**5/20 - 32*s**2 + 30. Solve q(w) = 0 for w.
-9, 0, 7
Let c(p) be the first derivative of -2*p + 1/8*p**4 - p**3 + 32 + 9/4*p**2. Let c(w) = 0. What is w?
1, 4
Let c = 2163/50 - 23693/550. Factor c*t**2 + 1682/11 + 116/11*t.
2*(t + 29)**2/11
Find i such that 6 + 137 - 22 + 582120*i**3 + 1157764*i**2 - 17248*i + 72900*i**4 + 24 - 81 = 0.
-4, 1/135
Let q(n) be the second derivative of 16*n - 11/12*n**3 - 1/24*n**4 + 3*n**2 - 4. Determine i so that q(i) = 0.
-12, 1
Suppose -4*x + 179*v - 63 = 184*v, -4*x - 33 = 3*v. Find u such that -11/7*u**x - 1/7*u**2 + 0 + 1/7*u**4 + 11/7*u = 0.
-1, 0, 1, 11
Let g be ((-15)/(-6) - 3)*(-1 - 1). Let w = 4 - g. Factor 4*y**3 - 20*y**2 + 6*y**w - 2*y**3 - 15*y + 4*y**4 - 9*y.
4*y*(y - 2)*(y + 1)*(y + 3)
Solve 6786*l**5 - 64*l**2 - 4*l**3 - 13576*l**5 + 16*l**4 + 6791*l**5 = 0 for l.
-16, -2, 0, 2
Let v(z) = -108*z**3 - 40*z**2 - 64*z + 8. Let w(c) = 23*c**3 + 8*c**2 + 13*c - 2. Let y(r) = 3*v(r) + 14*w(r). Factor y(k).
-2*(k + 1)**2*(k + 2)
Let g(l) = -2536*l - 17748. Let x be g(-7). Determine r, given that -9*r**3 - 3*r**x + 0*r - 1/4*r**5 + 0 + 0*r**2 = 0.
-6, 0
Suppose -103/4*x**2 - 297/4 - 1/4*x**3 - 399/4*x = 0. What is x?
-99, -3, -1
Solve 1/5*m**2 - 3172/5*m + 2515396/5 = 0 for m.
1586
Let b be ((-40)/72)/(4/(-6)). Let m = 9646/12741 - 384/4247. Factor b*j**3 + 4/3*j**2 + m*j + 1/6*j**4 + 0.
j*(j + 1)*(j + 2)**2/6
Let w(c) be the second derivative of 5*c**4/36 - 680*c**3/3 + 138720*c**2 + 2*c - 27. Factor w(y).
5*(y - 408)**2/3
Let t(a) be the first derivative of -34 - 2/25*a**5 + 22/5*a + 32/5*a**2 + 4/5*a**4 + 4*a**3. Find y, given that t(y) = 0.
-1, 11
Let g be ((-6)/(-45))/(2/50). Let j be (-4)/((100/15 - 6)/((-41)/123)). Factor 0 - 15*q**3 + 35/3*q**j - 5/3*q**5 + 25/3*q**4 - g*q.
-5*q*(q - 2)*(q - 1)**3/3
Let w be ((-485)/(-388))/((-180)/(-704)). Let -4/9 + w*a**2 - 14/9*a = 0. What is a?
-2/11, 1/2
Let n(q) = -9*q - 41. Let m be n(-5). Let 11*o**3 - 12*o + 6*o**m + 2*o**2 - 123 + 241 + o**5 - 126 = 0. What is o?
-2, -1, 1
Suppose -7*j = 43*r - 48*r - 64, 5*j - 40 = 3*r. Factor 0 + 5/2*u**4 + 0*u + 0*u**3 - 10*u**j.
5*u**2*(u - 2)*(u + 2)/2
Find n, given that 22 + 2/5*n**2 - 32/5*n = 0.
5, 11
Let -15*n**2 + 20*n + 2/5*n**3 + 100 + 1/5*n**4 = 0. What is n?
-10, -2, 5
Let x be ((-2)/(-3))/(7 + (-130505)/18645). Factor -x*o**3 - 3*o**4 + 7*o**4 - 4*o**5 + 1247*o**3 - 4*o**2.
-4*o**2*(o - 1)**2*(o + 1)
Let d = 7/41 - -512/123. Let z(m) be the second derivative of -2*m**2 + 3/7*m**7 + 4/3*m**6 + 0 + 2/5*m**5 + 12*m - d*m**3 - 3*m**4. Factor z(o).
2*(o - 1)*(o + 1)**3*(9*o + 2)
Let w(s) = -5*s**2 + 6*s + 16. Let d(r) = r**2 + r. Let b(a) = 4*d(a) + w(a). Let x be b(11). Suppose -x*n**3 + 4*n + 6*n**3 - 9*n**3 + 4*n**5 = 0. What is n?
-1, 0, 1
Suppose 11*d + 2 = -20. Let x(f) = -1. Let n(s) = 5*s**2 + 120*s + 722. Let h(p) = d*x(p) - n(p). Let h(l) = 0. What is l?
-12
Suppose 535 = 106*b + 5. Let z(c) be the first derivative of -2/35*c**b + 0*c + 8 - 1/14*c**4 + 1/7*c**2 + 2/21*c**3. Solve z(k) = 0.
-1, 0, 1
Let z be -2 + 168/(-11220)*-235. Let y = 32/17 - z. Factor -y*k + 0 + 2/11*k**2 + 2/11*k**3.
2*k*(k - 1)*(k + 2)/11
Let y(i) be the third derivative of i**6/300 + 37*i**5/75 + 1369*i**4/60 - 3*i**2 - 8*i + 9. Suppose y(t) = 0. Calculate t.
-37, 0
Let u be (-30)/14 + (-140469)/(-245). Let -u*r**2 + 36*r**3 - 4/5*r**4 + 18032/5*r - 32928/5 = 0. What 