*2 = 0?
0, 1, 2
Let p(u) be the second derivative of u**7/14 + u**6/10 - 36*u**5/5 + 20*u**4 + 64*u**3 - 8*u + 89. Factor p(r).
3*r*(r - 4)**2*(r + 1)*(r + 8)
Let u(y) be the third derivative of 1/2*y**3 - 11 + 1/8*y**4 - 2*y**2 - 1/40*y**6 - 1/20*y**5 + 0*y. Let u(r) = 0. Calculate r.
-1, 1
Let c(d) = d**2 - 4*d - d**3 - 4*d**2 + 4*d**2 + 7*d. Let t be c(-2). Factor -14*f**2 - 5*f**3 - t*f**2 + 2 - 25*f - 12.
-5*(f + 1)**2*(f + 2)
Suppose -4*d - 16 = 0, -h - 4*d - 80 = -5*h. Suppose 4*u = -2*k + h, 0*k + 5*u = 5*k - 10. Solve -9*t - k*t**2 - 14 + 26 + t = 0.
-3, 1
Let b(r) = 5*r**3 - 23*r**2 - 222*r + 18. Let f(c) = -35*c**3 + 160*c**2 + 1555*c - 120. Let d(l) = 20*b(l) + 3*f(l). Let d(w) = 0. Calculate w.
-5, 0, 9
Let f(u) = -u**2 + 39*u + 6. Let q be f(39). What is r in 189*r**3 - q*r**2 - 41*r**2 - 21*r**2 + 8*r - 172*r**4 - 5*r**3 + 48*r**5 = 0?
0, 1/4, 1/3, 1, 2
Let s(t) = -t**3 + 2180*t**2 - 1581230*t + 382657176. Let i(r) = 3*r**3 - 6541*r**2 + 4743691*r - 1147971528. Let w(c) = 8*i(c) + 28*s(c). Factor w(u).
-4*(u - 726)**3
Let g(k) be the second derivative of -k**5/16 + 65*k**4/48 - 10*k**3 + 45*k**2/2 - k + 330. Solve g(j) = 0.
1, 6
Suppose 2/5*u**3 + 4*u**2 + 18/5*u + 0 = 0. Calculate u.
-9, -1, 0
Factor 4668425 - 20*k**2 - 810*k + 10*k**2 + 1236475 - 8910*k + 14*k**2.
4*(k - 1215)**2
Determine p, given that 1/3*p**5 - 112/3 - 40/3*p**2 - 176/3*p + 40/3*p**3 + 17/3*p**4 = 0.
-14, -2, -1, 2
Factor -2/15*m**3 - 16/3 + 38/15*m**2 + 44/15*m.
-2*(m - 20)*(m - 1)*(m + 2)/15
Let r be (65 + (-9 - -10))*((-63)/441 + (-26)/(-84)). Suppose -r + 1/3*i**2 - 32/3*i = 0. What is i?
-1, 33
Let r be ((-18)/15)/(21/(-15) - -1). Suppose 0 - r*g + 6 - 8*g**2 + 4*g**2 + g**2 = 0. What is g?
-2, 1
Let t(z) be the second derivative of -z**4/60 + 11*z**3/30 - z**2 - 4*z + 16. Factor t(j).
-(j - 10)*(j - 1)/5
Let w(s) be the third derivative of -s**6/30 + 126*s**5/5 + 253*s**4/2 + 760*s**3/3 + 2*s**2 + 188*s + 2. Factor w(y).
-4*(y - 380)*(y + 1)**2
Suppose -37 - 35 = -18*k. Factor -26*s - 16*s**k - 204 - 203 + 419 + 2*s**5 + 24*s**3 + 4*s**2.
2*(s - 6)*(s - 1)**3*(s + 1)
Let s be -309*7/9996 + 1/4. Let b = s + 14/17. Factor -9/7*x**3 - b*x**2 + 3/7*x + 0.
-3*x*(x + 1)*(3*x - 1)/7
Let b = -16576 + 16576. Let c(u) be the first derivative of 1/12*u**4 + 16 + b*u - 2/9*u**3 + 0*u**2. Find w such that c(w) = 0.
0, 2
Let o(n) be the third derivative of -4/105*n**7 + 0*n - 228*n**2 - 13/10*n**6 + 200/3*n**4 + 0*n**3 + 8/3*n**5 + 1/84*n**8 + 0. Factor o(t).
4*t*(t - 5)**2*(t + 4)**2
Let m be ((-9)/((-45)/100))/((-6)/33). Let f be ((56/m)/7)/(7/(-35)). Factor 2/11*y**2 + 6/11*y + f.
2*(y + 1)*(y + 2)/11
Let u be 0 + 2 + (4 - -1*72). Let k be 3/18 - (-143)/u. Determine w, given that 10/7*w - 8/7*w**k + 2/7*w**3 - 4/7 = 0.
1, 2
Let d(a) be the second derivative of -a**7/336 + 3*a**6/40 - a**5/5 - a**4/48 + 11*a**3/16 - a**2 + a - 424. Factor d(o).
-(o - 16)*(o - 1)**3*(o + 1)/8
Let u(g) be the first derivative of g**3/12 + 14*g**2 - 113*g/4 + 612. Suppose u(c) = 0. What is c?
-113, 1
Factor 17564*o**4 + 28*o**3 - 8784*o**4 - 8784*o**4.
-4*o**3*(o - 7)
Let b(h) be the first derivative of 0*h**2 - 22 + 2/7*h**6 + 11/7*h**4 - 47/35*h**5 + 4/21*h**3 + 0*h. Factor b(z).
z**2*(z - 2)**2*(12*z + 1)/7
Let y(q) be the third derivative of -113*q**6/40 - q**5/120 + q**2 + q + 709. Let y(a) = 0. Calculate a.
-1/678, 0
Let z be ((-4)/66)/((-54)/99). Let v(i) be the first derivative of -z*i**4 + 0*i + 2/9*i**2 - 4 + 2/27*i**3 - 2/45*i**5. Let v(q) = 0. What is q?
-2, -1, 0, 1
Let p = 3037 + -3033. Let f(r) be the first derivative of -4*r**3 - 42*r**2 + 26 - 1/7*r**p - 196*r. Determine n, given that f(n) = 0.
-7
Suppose 2*t - 3 + 1 = 2*q, 4*t = 5*q + 3. Suppose -2*l - l + 6 = 0. Let -35 - 35 - 8*y**t + 72 + 80*y**l - 24*y = 0. What is y?
1/6
Let d(b) = b**2 + b - 2. Let l(i) = -3*i**2 - 2*i + 7. Let f = 26 + -4. Let q = f - 24. Let u(h) = q*l(h) - 7*d(h). Factor u(t).
-t*(t + 3)
Suppose 565*x - 159*x**4 + 2187 - 1680*x**3 - 6*x**5 + 2351*x + 306*x**3 - 3564*x**2 = 0. Calculate x.
-9, -1/2, 1
Let r(m) be the third derivative of -1/525*m**7 + 0*m + 0 + 2/15*m**3 + 1/300*m**6 - 1/12*m**4 - 5*m**2 + 1/50*m**5. Factor r(x).
-2*(x - 1)**3*(x + 2)/5
Let c(u) be the third derivative of -u**6/120 - 13*u**5/30 - 13*u**4/24 + 50*u**3 + 2193*u**2. What is m in c(m) = 0?
-25, -4, 3
Factor -5*y**2 - 44281 + 15805 + 7625*y + 20856.
-5*(y - 1524)*(y - 1)
Let s = 129 + -114. What is n in -1 + 21 - 2*n**2 + s*n - 3*n**2 = 0?
-1, 4
Let c be 1 - (-10 + (-142)/(-14)). Let l be ((-2)/4)/(27/(-6) + 4). Suppose l + c*f - 1/7*f**2 = 0. Calculate f.
-1, 7
Let c(b) = -2*b**2 + 2*b + 42. Let d be c(5). Find u, given that 260*u - 5*u**d + 824 + 463 - 4667 = 0.
26
Solve -2*q + 122 + 55682*q**2 + 0*q**3 - 55804*q**2 + 3*q**3 - q**3 = 0.
-1, 1, 61
Let t(a) be the first derivative of -5/2*a - 1/4*a**4 - 29/8*a**2 - 105 + 43/12*a**3. Solve t(x) = 0 for x.
-1/4, 1, 10
Let w(k) = k**3 + 47*k**2 + 529*k + 1135. Let t be w(-13). Suppose -4 - 43/4*b**3 - 14*b - 1/4*b**5 - 11/4*b**t - 73/4*b**2 = 0. What is b?
-4, -1
Let n(d) be the third derivative of -d**8/3192 + d**7/1995 + d**6/95 - 14*d**5/285 + 4*d**4/57 - 4*d**2 - 2333*d. Suppose n(x) = 0. Calculate x.
-4, 0, 1, 2
Let x(s) be the second derivative of -15*s**3 + 35/8*s**4 + 11/2*s**2 + 0 + 9*s - 2/3*s**5 + 1/24*s**6. Let r(u) be the first derivative of x(u). Factor r(t).
5*(t - 3)**2*(t - 2)
Suppose -3*x = 4*u - 9, -u = x - 5*x + 12. Suppose 13*w**x - 29*w**3 + 14*w**3 = 0. What is w?
0
Let n(w) be the first derivative of -5*w**4/14 - 116*w**3/21 - 31*w**2/7 + 44*w/7 + 1790. Suppose n(a) = 0. Calculate a.
-11, -1, 2/5
Let g(c) = 3*c**2 - 251*c + 2. Let p(t) = 24*t - 143. Let j be p(6). Let v(k) = k**2 - k - 2. Let x(r) = j*g(r) + v(r). What is q in x(q) = 0?
0, 63
Let a(r) = 14*r**5 + 508*r**4 + 31744*r**3 - 4*r**2 + 8. Let t(h) = 3*h**5 + h**4 - 2*h**3 - h**2 + 2. Let i(z) = a(z) - 4*t(z). Find b such that i(b) = 0.
-126, 0
Suppose 4*z = 5*z - 27. Suppose 1203 = 6*p - z. Factor -5*l**3 - 65*l**2 - p*l - 34 - 60 - 35*l - 86.
-5*(l + 1)*(l + 6)**2
Find b such that 77/4*b**2 - 73 + 72*b - 18*b**3 - 1/4*b**4 = 0.
-73, -2, 1, 2
Let n(k) be the third derivative of -k**7/42 - 5*k**6/6 - 3*k**5/2 + 25*k**4/6 + 95*k**3/6 + 794*k**2 - k. Factor n(b).
-5*(b - 1)*(b + 1)**2*(b + 19)
Let q be 1/(-3 + 5)*(-108)/2493. Let z = 843/554 + q. Factor -1/2*s**2 + 1/2*s**4 + 0 - z*s + 3/2*s**3.
s*(s - 1)*(s + 1)*(s + 3)/2
Determine i so that 548 + 58*i**2 - 174*i + 163*i - 2*i**3 + 122*i - 559*i + 132 = 0.
2, 10, 17
Suppose n - 18 = -11*h, 6*h + 5*n + 95 = 87. Find k, given that 35/6*k**h + 1/2*k**3 + 8*k - 10/3 = 0.
-10, -2, 1/3
Let g(a) = -88*a - 5014. Let p be g(-57). Let c(q) be the second derivative of 0*q**p - 11*q + 1/3*q**4 + 0 + 2/5*q**5 + 2/15*q**6 + 0*q**3. Factor c(z).
4*z**2*(z + 1)**2
Suppose 115*o - 107*o = 24. Solve i**2 + 38*i**2 - 10*i**2 + 2*i**o + 686 + 13*i**2 + 294*i = 0 for i.
-7
Let g(p) be the first derivative of 0*p**4 - 1/70*p**5 - 6 - 17*p + 0*p**2 + 0*p**3. Let i(v) be the first derivative of g(v). Suppose i(n) = 0. Calculate n.
0
Suppose 0 = -3*a + 5*m + 22, 20*m = a + 24*m + 21. Let z be (a - 0)/(0 + 3 + -6). Determine t, given that 1 + 1/3*t - 6*t**2 + 6*t**3 - z*t**4 - t**5 = 0.
-3, -1/3, 1
Let k be ((-10)/20)/((-6)/336). Suppose 0 = 3*l + 5*z + 8 - k, -4 = 5*l - z. Factor -7/6*x**2 - 1/3*x + 2/3*x**3 + l.
x*(x - 2)*(4*x + 1)/6
Let q(w) be the second derivative of -4/3*w**2 - 1/18*w**4 - 2*w - 5 + 5/9*w**3. Find g such that q(g) = 0.
1, 4
Suppose 0 = r - 5 + 4. Let b(j) = 23*j - 5. Let t be b(r). What is y in t*y**2 - 17*y**5 + 11*y + 2 + 14*y**5 - 4*y**4 + 0 + 8*y**3 = 0?
-1, -1/3, 2
Let v = 440 + -1300/3. Let u(h) be the first derivative of -5/2*h**2 - 5/6*h**6 - v*h**3 - 15/2*h**4 - 9 + 0*h - 4*h**5. Factor u(x).
-5*x*(x + 1)**4
Let z(v) be the second derivative of 5*v**7/168 + 11*v**6/3 - 183*v**5/16 - 225*v**4/8 + 4061*v. Let z(d) = 0. What is d?
-90, -1, 0, 3
Let s(t) be the second derivative of 17/24*t**4 - 15*t**2 - 1/24*t**6 + 5/3*t**3 + 0 - 11/30*t**5 + 20*t. Let y(z) be the first derivative of s(z). Factor y(r).
-(r - 1)*(r + 5)*(5*r + 2)
Factor 303/2*g - 3/2*g**2 + 0.
-3*g*(g - 101)/2
Let g be ((1/(-3))/(15400/(-198) + 77))/((-12)/(-18