 is r?
-31, 2
Let a(w) = 3 + 4*w + 3 - w - 3. Let d be a(3). Factor -18*v**2 + 12*v + 1 - 2 - 2 - 3*v**4 + d*v**3.
-3*(v - 1)**4
Let s(x) be the first derivative of 27*x**5/50 + 81*x**4/40 - 39*x**3/5 + 43*x**2/5 - 4*x - 340. Let s(z) = 0. Calculate z.
-5, 2/3
Let x be (0/(-15))/(-13)*(-2)/(-8). Determine s so that -s**3 + x + 9/2*s**4 + 0*s**2 - 7/2*s**5 + 0*s = 0.
0, 2/7, 1
Let l = 3469 + -17333/5. Let 3/5*v**2 - l*v + 12/5 = 0. What is v?
2
Let l(x) be the second derivative of x**7/336 - 7*x**6/15 + 147*x**5/5 - 2744*x**4/3 + 38416*x**3/3 + 162*x. Factor l(v).
v*(v - 28)**4/8
Let b(j) be the third derivative of j**7/13860 - j**6/3960 - j**4/6 + 8*j**2. Let n(t) be the second derivative of b(t). What is w in n(w) = 0?
0, 1
Let z(k) = -k**3 + 3*k**2 + 1. Let x(d) = -5*d**3 + 21*d**2 - 16*d + 18. Let a(y) = -x(y) + 6*z(y). Factor a(v).
-(v - 2)*(v - 1)*(v + 6)
Suppose q + q + 3*c + 12 = 0, -5*q + 16 = -4*c. Let n(a) be the second derivative of 1/12*a**3 + 0 + q*a**4 - 3*a - 1/40*a**5 + 0*a**2. Factor n(m).
-m*(m - 1)*(m + 1)/2
Let f(u) be the third derivative of -u**5/390 - 5*u**4/78 - 14*u**2 + 4. Factor f(o).
-2*o*(o + 10)/13
Let q = -422 - -2126/5. Let k be (-27)/(-14) - ((-165)/70)/33. Solve -16/5 + q*u - 4/5*u**k = 0.
2
Factor -500*o + 109*o + 152*o**2 - 219*o - 157*o**2.
-5*o*(o + 122)
Let 2*v**4 + 19/2*v**2 + 2 - 25/4*v**3 - 7*v - 1/4*v**5 = 0. Calculate v.
1, 2
Suppose 108 = -34*x + 312. Let s(o) be the second derivative of 5/3*o**4 + 0 + 4/3*o**3 + 0*o**2 + 2/15*o**x + 4/5*o**5 + 10*o. Find n such that s(n) = 0.
-2, -1, 0
Let s be 917/(-9975) + (-2)/(-19). Let b(p) be the third derivative of 0 + s*p**5 + 1/24*p**4 + 9*p**2 + 0*p + 1/30*p**3. Factor b(j).
(j + 1)*(4*j + 1)/5
Factor -140*p**4 - p**5 - 23*p**3 - 21*p**2 + 153*p**4 - 28*p**2 - 12*p**3.
-p**2*(p - 7)**2*(p + 1)
Let c(i) be the first derivative of 4*i**3/3 - 194*i**2 + 384*i + 764. Factor c(l).
4*(l - 96)*(l - 1)
Suppose 689 = 4*r - 2*h + 15, 0 = -5*r - 2*h + 838. Let k = r + -335/2. Solve -k + 3/4*i**2 + 1/4*i = 0.
-1, 2/3
Let i(d) = 8*d**2 - 19*d + 5. Let x(c) be the first derivative of 4*c**3/3 - 5*c**2 + 2*c + 2. Let v(p) = 2*i(p) - 5*x(p). Factor v(h).
-4*h*(h - 3)
Let n(y) be the second derivative of -y**7/294 - 11*y**6/42 - 215*y**5/28 - 9125*y**4/84 - 2500*y**3/3 - 25000*y**2/7 - 391*y. Determine z so that n(z) = 0.
-20, -5
Suppose -3 + 7 = 2*b. Suppose 1 = b*q - 5. Determine s so that 1 - 14*s + 20*s - 2*s**q - 5 = 0.
-2, 1
Suppose -3*p = 4 - 61. Suppose -8*j - 3 + p = 0. Factor 3/2*n - 1/2*n**3 + 0*n**j + 1.
-(n - 2)*(n + 1)**2/2
Factor 6*a**2 - 3/4*a**3 + 0 + 9*a - 3/4*a**4.
-3*a*(a - 3)*(a + 2)**2/4
Find n, given that -109*n - 64*n**4 + 38*n**3 + 10*n**5 + 248*n**2 + 72 - 265*n + 2*n**5 - 6*n**3 + 74*n = 0.
-2, 1/3, 1, 3
Let l(k) = k**4 + 2*k + 1. Let a(q) = 9*q**4 - 51*q**3 + 48*q**2 + 12*q + 6. Let h(w) = -a(w) + 6*l(w). Let h(v) = 0. What is v?
0, 1, 16
Suppose l + 9 - 3 = 0. Let i be (-2)/(-4)*(8/l - -2). Factor i*w**2 + 0*w - 1/3.
(w - 1)*(w + 1)/3
Suppose 0 = 116*w - 265 - 315. What is q in -4/5*q**2 + 2/5 - 1/5*q**w - 1/5*q + 2/5*q**3 + 2/5*q**4 = 0?
-1, 1, 2
Let y(j) = -j**2 + 32*j - 57. Let q be y(2). Let i(f) be the first derivative of 1/5*f**5 - 1/3*f**q + 1/2*f**2 - 1/4*f**4 + 0*f + 7. Factor i(n).
n*(n - 1)**2*(n + 1)
Let m be 0 + 1 + (-78)/(-6 - 20). Suppose -1/6*a**3 + 0 - 1/3*a**m + 0*a + 1/6*a**2 = 0. Calculate a.
-1, 0, 1/2
Let f(h) be the first derivative of -h**7/210 + h**5/10 + h**4/3 + 4*h**3/3 + 3. Let g(v) be the third derivative of f(v). What is d in g(d) = 0?
-1, 2
Factor -96/7*d**2 + 0 - 1152/7*d - 2/7*d**3.
-2*d*(d + 24)**2/7
Suppose -3 = -4*c - 23. Let x(h) = -10*h**2 - 32*h - 64. Let o(j) = -9*j**2 - 32*j - 64. Let v(q) = c*x(q) + 6*o(q). Suppose v(d) = 0. Calculate d.
-4
Let y(z) be the third derivative of -z**6/80 - z**5/10 - 3*z**4/16 + 307*z**2. Find t such that y(t) = 0.
-3, -1, 0
Let c(v) = 5*v - 10. Let q be c(4). Let g be 24/30*q/4. Factor -12*x**3 - g*x**4 - 5 - 3 - 24*x**2 + 2 + 0*x - 20*x.
-2*(x + 1)**3*(x + 3)
Let b be 5 + (-222 - -4)/2. Let d be (0 + 8/2)*(-13)/b. Suppose 9/4*r**3 + d + 13/4*r + 5*r**2 = 0. What is r?
-1, -2/9
Determine v so that 64/5*v + 64/5 + 4*v**2 + 2/5*v**3 = 0.
-4, -2
Let l be (-155)/(-9) + 8/(-36). Let b = -15 + l. Determine c so that 0*c**2 - 2*c**3 - c**b - c**2 = 0.
-1, 0
Suppose 0*u - 20 = 4*u. Let m(o) = -2*o**2 - 46*o + 62. Let l(r) = r**2 + 15*r - 21. Let q(s) = u*m(s) - 14*l(s). Factor q(b).
-4*(b - 4)*(b - 1)
Solve 15/2*y**3 - 5/2*y**5 - 15*y - 35/2*y**2 + 0 + 15/2*y**4 = 0 for y.
-1, 0, 2, 3
Let s(j) be the first derivative of 5 + 1/2*j - 3/8*j**2 + 1/12*j**3. Factor s(a).
(a - 2)*(a - 1)/4
Solve 220/3*u + 72 + 4/3*u**2 = 0 for u.
-54, -1
Suppose -40 = -2*u - 26. Suppose -d + u = 5. What is p in -4/5*p**4 - 4/5 + 4/5*p**5 - 8/5*p**3 + 4/5*p + 8/5*p**d = 0?
-1, 1
Let f(a) be the first derivative of -a**6/15 - 2*a**5/5 - 3*a**4/5 + 18. Find y, given that f(y) = 0.
-3, -2, 0
Let n = -5 - -9. Let g = -63341/5 + 12669. Suppose -6/5*c + 2/5*c**2 - g + 6/5*c**3 + 2/5*c**n = 0. What is c?
-2, -1, 1
Let -170*o - 363 + 63*o**2 + 47*o**3 - 50*o**3 - 127*o = 0. What is o?
-1, 11
Let c(z) be the third derivative of -11/24*z**4 - 121/240*z**5 + 0*z + 0 + 23*z**2 - 1/6*z**3. Factor c(g).
-(11*g + 2)**2/4
Let j(n) = -2*n**2 - 12*n - 35. Let d(x) = -4*x**2 - 1. Let y(i) = 3*i**2 + 1. Let o(m) = -4*d(m) - 5*y(m). Let c(h) = 5*j(h) + 5*o(h). Factor c(t).
-5*(t + 6)**2
Let c(j) be the second derivative of 7*j**5/32 + 409*j**4/96 + 67*j**3/12 + 11*j**2/4 - 95*j - 4. Factor c(x).
(x + 11)*(5*x + 2)*(7*x + 2)/8
Let n be (2*(-2)/10)/((-2031)/27080). Factor -n - 4/3*t**3 + 0*t + 4*t**2.
-4*(t - 2)**2*(t + 1)/3
Let l(k) be the second derivative of -k**4/12 - k**3/6 + 6*k**2 + 147*k. Find c such that l(c) = 0.
-4, 3
Let c(w) = -66*w**4 - 459*w**3 + 1170*w**2 + 3459*w. Let v(f) = -5*f**4 - 35*f**3 + 90*f**2 + 266*f. Let n(g) = 2*c(g) - 27*v(g). Factor n(h).
3*h*(h - 4)*(h + 2)*(h + 11)
Let p(s) be the third derivative of s**5/40 + s**4/4 - 10*s**2 - 3*s. Determine h, given that p(h) = 0.
-4, 0
Let i(k) be the third derivative of k**8/56 + 23*k**7/70 + 3*k**6/2 + 7*k**5/5 - 4*k**4 - 22*k**2. Let i(f) = 0. What is f?
-8, -2, 0, 1/2
Let w be 48/(-84)*(-21)/5. Factor -32/5*f + w - 12/5*f**2.
-4*(f + 3)*(3*f - 1)/5
Let p be (1 - -5)*(-3)/(-6). Suppose -3*g = 5*z - 31, -p*z + 1 = -2*g - 10. Factor z*c - 3*c - 7*c**2 + 9*c**2.
2*c*(c + 1)
Let h(r) be the first derivative of -r**6/135 - r**5/90 + 5*r**4/54 - r**3/9 + 4*r - 6. Let x(t) be the first derivative of h(t). What is s in x(s) = 0?
-3, 0, 1
Suppose 4/5*m**2 + 3/5*m - 18/5 - 1/5*m**3 = 0. Calculate m.
-2, 3
Let l(s) be the first derivative of s**4/20 - 2*s**3 + 126*s**2/5 - 392*s/5 + 57. What is y in l(y) = 0?
2, 14
Let v(p) be the first derivative of -1/16*p**4 + 1/3*p**3 - 26 - 5/8*p**2 + 1/2*p. Suppose v(n) = 0. What is n?
1, 2
Let k = -579/940 + 36/47. Let r(q) be the second derivative of 1/42*q**7 - 1/3*q**4 - k*q**5 + 6*q + 0*q**2 + 0 + 1/15*q**6 + 2/3*q**3. Factor r(s).
s*(s - 1)**2*(s + 2)**2
Let c be 5*(-22)/550 - (-129)/45. Suppose -16/3*a**5 + 0 - 52/3*a**4 - c*a**2 - 44/3*a**3 + 0*a = 0. What is a?
-2, -1, -1/4, 0
Let g(h) = -19*h**2 - 5*h. Let y(a) = 14*a**2 + 4*a. Let m(d) = 3*g(d) + 4*y(d). Let m(q) = 0. What is q?
0, 1
Suppose -3*z + 57 = 3*x, -2*z + 18 = 4*x - 3*x. Let h be -1*((-16)/x)/2. Factor 0*u**3 + 0 - 3/5*u**2 + h*u + 1/5*u**4.
u*(u - 1)**2*(u + 2)/5
Let y(o) be the second derivative of -1/20*o**6 + 0 - 3/2*o**2 - 7/12*o**4 - 4/15*o**5 - 2/3*o**3 + 8*o. Let k(r) be the first derivative of y(r). Factor k(v).
-2*(v + 1)**2*(3*v + 2)
Let i be (-50)/30*(1 - 4). Let z be 6/45*i*12. Suppose 1 + 0*f**3 - z*f**2 - 5 - 9*f - f - 2*f**3 = 0. Calculate f.
-2, -1
Suppose -74*q = -71*q - 9. Let f(j) be the second derivative of 0 - 1/24*j**q + 3*j + 0*j**2 + 3/80*j**5 + 0*j**4 - 1/60*j**6. Determine r so that f(r) = 0.
-1/2, 0, 1
Let d = -28156/5 - -5636. Factor -12/5*b**3 + d*b - 18/5*b**2 + 6/5*b**4 + 24/5.
6*(b - 2)**2*(b + 1)**2/5
Let t(z) = -z**2 - 380*z + 3501. Let n be t(9). Determine h, given that 0*h - 4/3*h**3 + n + 0*h**4 + 4/9*h**5 - 8/9*h**2 = 0.
-1, 0, 2
Let s = -7 - -13. Let l = s + -4. Factor -2*n + n**4 - 21*n**l + 25*n**2 + 2*n**5