9 + 1/2*m**4 + 43/2*m.
(m - 2)*(m - 1)**2*(m + 9)/2
Let q be 3 + -10 + 6 + 4. Let k(w) be the second derivative of 13/18*w**3 - 11/18*w**4 - q*w - 1/3*w**2 + 2/15*w**5 + 0. Let k(h) = 0. What is h?
1/4, 1/2, 2
Suppose 3*g = -4*w + 433, -2*g - w + 290 = 3*w. Determine z so that -g - 49 - 22*z - 3*z**3 - 36*z**2 - 122*z = 0.
-4
Let z(g) be the first derivative of g**4/10 + 4*g**3/5 + 103. Factor z(a).
2*a**2*(a + 6)/5
Let x(s) be the second derivative of 9*s**5/5 + 20*s**4/3 - 46*s**3/3 - 12*s**2 + 5*s + 12. Determine o so that x(o) = 0.
-3, -2/9, 1
Let b(u) be the first derivative of u**6/15 - u**5/6 - 7*u**4/12 + 2*u**3/3 - u**2/2 - 15. Let s(t) be the second derivative of b(t). Factor s(a).
2*(a - 2)*(a + 1)*(4*a - 1)
Let a be 25/(-125) - 22/(-10). Factor 4*r**2 + 3*r**a - 9*r**4 + 5*r**4 - 4*r**3 + r**2.
-4*r**2*(r - 1)*(r + 2)
Let s(h) be the third derivative of -h**8/420 - 6*h**7/175 - h**6/5 - 46*h**5/75 - 11*h**4/10 - 6*h**3/5 - 129*h**2 - 3*h. Find z, given that s(z) = 0.
-3, -1
Let z = 634 - 630. Let p(t) be the first derivative of 4 - 1/2*t - 1/16*t**z + 0*t**3 + 3/8*t**2. Factor p(v).
-(v - 1)**2*(v + 2)/4
Let i be 3/7*(-70)/(-8). Let u = 49/12 - i. What is c in 1/3*c - 1/3*c**3 - u + 1/3*c**2 = 0?
-1, 1
Let y(j) be the second derivative of -j**6/840 + j**5/140 - 3*j**3 - j. Let d(r) be the second derivative of y(r). Factor d(p).
-3*p*(p - 2)/7
Let f be 5/(-30)*-6 + (-7)/9. Suppose -s = -4*s. Factor 0*o**2 + 2/9*o + s - f*o**3.
-2*o*(o - 1)*(o + 1)/9
Let g(o) be the first derivative of o**4 - 20*o**3/3 + 14*o**2 - 12*o + 97. Solve g(m) = 0.
1, 3
Let o = 32/21 - 6/7. Find r, given that o*r**2 + 0 - 1/3*r = 0.
0, 1/2
Let k be (-3)/(30/(-135) - 23/18). Suppose 7/5*o - o**k - 2/5 = 0. What is o?
2/5, 1
Factor -10812*q**3 + 10800*q**3 - 50*q**2 + 11*q**2 + 12 + 39*q.
-3*(q - 1)*(q + 4)*(4*q + 1)
Let f(i) be the third derivative of -i**5/330 + i**4/132 + 2*i**3/33 + i**2 - i. Factor f(a).
-2*(a - 2)*(a + 1)/11
Suppose -7*h + 2 = -6*h. Determine m, given that -17 + 0*m**2 - 5*m + 13*m**2 + h - 3*m**2 = 0.
-1, 3/2
Suppose 17 = -19*o - 97. Let k be (26/4 + o)*10. Factor -a**3 + 0 + 0*a**2 + 1/2*a**k + 0*a - 7/6*a**4.
a**3*(a - 3)*(3*a + 2)/6
Factor -24 - 4/3*i**3 - 8*i**2 + 100/3*i.
-4*(i - 2)*(i - 1)*(i + 9)/3
Let r(q) be the third derivative of 1/6*q**3 + 0*q + 1/10*q**5 - 1/6*q**4 - 1/30*q**6 + 0 + 1/210*q**7 - 8*q**2. Factor r(h).
(h - 1)**4
Factor 20*z**2 + 4*z**3 - 30*z**4 + 2*z**3 - 6*z**3 + 25*z**4.
-5*z**2*(z - 2)*(z + 2)
Let -4/3*r**3 - 16*r**2 + 0 + 0*r = 0. What is r?
-12, 0
Let m(u) = -7*u**2 - u**2 - 7 + 9*u**2 + 14 - 8*u. Let s be m(7). Factor 9/5*q**3 + 3/5*q**4 + 3/5*q + 9/5*q**2 + s.
3*q*(q + 1)**3/5
Let j(t) be the second derivative of -2/13*t**2 + 1/130*t**5 + 1/39*t**4 - 15*t + 0 - 1/39*t**3. Factor j(s).
2*(s - 1)*(s + 1)*(s + 2)/13
Let i be (0*(-2)/2)/(1 - 0). Let a(t) be the third derivative of 0*t**4 + 0 - t**2 + i*t - 1/150*t**5 + 0*t**3. What is g in a(g) = 0?
0
Let m(v) be the first derivative of 1 + 1/8*v**4 + 0*v + v**2 + 1/3*v**3 + 1/60*v**5. Let g(n) be the second derivative of m(n). What is q in g(q) = 0?
-2, -1
Let j be (-258)/8 + (2/8 - 1). Let n(d) = 5*d**3 + 14*d**2 - 34*d - 16. Let s(h) = 25*h**3 + 71*h**2 - 169*h - 80. Let q(a) = j*n(a) + 6*s(a). Factor q(t).
-3*(t - 2)*(t + 4)*(5*t + 2)
Let d(i) be the third derivative of i**5/60 + 9*i**4/8 - 62*i**3/3 - 61*i**2. Solve d(g) = 0.
-31, 4
Let f = 243 - 237. Let q(h) be the first derivative of 5 + 0*h**2 + 2/3*h**3 - 3/4*h**4 + 1/2*h**f + 0*h - 2/5*h**5. Factor q(w).
w**2*(w - 1)*(w + 1)*(3*w - 2)
Let h(t) be the first derivative of -t**3/21 + 31*t**2/7 - 61*t/7 + 32. Solve h(o) = 0 for o.
1, 61
Let y be ((-3)/13)/((-48)/416). Factor 0 + 6/7*v + 3/7*v**y.
3*v*(v + 2)/7
Let s(z) = z**3 + 3*z**2 + 2*z + 16. Let i be s(0). Factor i*x + 5*x**3 + 20*x**2 - 30 + 17*x - 28*x.
5*(x - 1)*(x + 2)*(x + 3)
Find w such that 3*w**3 + 1047*w**2 + 2*w**3 - 1062*w**2 = 0.
0, 3
Let t(o) be the third derivative of -1/252*o**8 + 0 - 1/9*o**3 - 1/18*o**5 + 11*o**2 + 2/105*o**7 - 1/72*o**6 + 1/8*o**4 + 0*o. Determine j so that t(j) = 0.
-1, 1/2, 1, 2
Let u be (1/5)/(80/80). Factor -3/10 + u*n + 1/10*n**2.
(n - 1)*(n + 3)/10
Factor 3*f**3 + 33*f**4 - 29*f**4 - 36*f**2 + 26 + 4*f**5 - 39*f**3 - 26.
4*f**2*(f - 3)*(f + 1)*(f + 3)
Let i(b) = -4*b + 8. Let n(v) = -4*v + 6. Let o(k) = 4*i(k) - 5*n(k). Let p be o(0). What is r in -4/3*r**2 + p*r**5 + 0 + 0*r + 2*r**3 + 16/3*r**4 = 0?
-2, -1, 0, 1/3
Suppose x + 0*b - 4 = -2*b, 3*x = -2*b + 12. Factor -3*y**4 + y**2 - y**3 + 4*y**x - y**3 + 0*y**4.
y**2*(y - 1)**2
Let c(l) be the first derivative of -l**4/2 + 4*l**3 + 9*l**2 - 108*l - 124. Factor c(v).
-2*(v - 6)*(v - 3)*(v + 3)
Let l(s) be the first derivative of -16*s**5/65 + 21*s**4/13 + 70*s**3/39 + 6*s**2/13 + 75. Determine n so that l(n) = 0.
-1/2, -1/4, 0, 6
Let d be ((-5)/(-2))/(7*(-7)/(-98)). Factor -446 + 5*i**4 + 446 - 4*i**d - i**5 + 10*i**3.
-5*i**3*(i - 2)*(i + 1)
Let o(a) be the first derivative of -1/21*a**3 + 0*a**2 - 1 - 1/21*a**4 - 1/70*a**5 + 3*a. Let s(n) be the first derivative of o(n). Factor s(g).
-2*g*(g + 1)**2/7
Let i(g) = 2*g**3 + 107*g**2 + 53*g. Let u be i(-53). Factor -7/4*w**3 - 3*w**2 + w + u.
-w*(w + 2)*(7*w - 2)/4
Let d(h) = 4*h**2 - 2*h**2 - h**3 + h**2 - h - 4*h**2. Let g(p) = 14*p**3 - 10*p**2 + 8*p + 3. Let i(o) = 5*d(o) + g(o). Let i(c) = 0. What is c?
-1/3, 1
Let r(w) = -5*w**2 - 172*w - 228. Let c be r(-33). Factor 2/3*k**4 + 0*k + 2*k**c + 0 + 4/3*k**2.
2*k**2*(k + 1)*(k + 2)/3
Let a(o) = o**2 - 3*o - 7. Let z be a(7). Suppose -4 = 20*w - z*w. Determine i, given that -4/9*i**2 + 16/9*i**3 + 2/9*i**w - 8/9*i - 8/9*i**5 + 2/9 = 0.
-1, 1/4, 1
Let s be 1 + 7/((-7)/22). Let n = s - -36. Determine d so that -7*d + 2*d**2 - 9*d - n + 6*d + 3*d**2 = 0.
-1, 3
Let c = 1027 - 5132/5. Factor 0 - 3/5*u**2 + c*u**3 - 3/5*u + 3/5*u**4.
3*u*(u - 1)*(u + 1)**2/5
Let l = 23 - -1. Factor 16*x + x**4 - 5*x**4 + 24 - l - 12*x**3.
-4*x*(x - 1)*(x + 2)**2
Let s(g) be the first derivative of -3*g**5/5 + 129*g**4/8 - 219*g**3/2 - 429*g**2/4 + 363*g/2 + 17. Suppose s(j) = 0. Calculate j.
-1, 1/2, 11
Let c(j) be the second derivative of -9*j + 1/3*j**4 + 2*j**3 + 0*j**2 + 0. Solve c(h) = 0 for h.
-3, 0
Let q(d) be the first derivative of -1/4*d**2 + 5 - 2/5*d**5 + 0*d - 2/3*d**3 - 1/12*d**6 - 3/4*d**4. Determine k so that q(k) = 0.
-1, 0
Let y(g) be the first derivative of -1/33*g**6 + 1/11*g**4 + 0*g**2 - 7 + 0*g + 0*g**3 - 2/55*g**5. Factor y(d).
-2*d**3*(d - 1)*(d + 2)/11
Suppose 102*a - 176 + 28 = 56. Factor 2/3*o**a - 2*o**3 - 4/3 + 2*o + 2/3*o**4.
2*(o - 2)*(o - 1)**2*(o + 1)/3
Suppose c = 3*c + 4. Let t be (4 - -2) + -1 + c. Find n such that -2*n**4 + 6*n**4 + 2*n**5 + 5*n**t + n**3 - 4*n**3 = 0.
-1, 0
Let h(f) be the first derivative of -f**3 + 207*f**2 - 411*f + 440. Find q, given that h(q) = 0.
1, 137
Let d(i) be the third derivative of i**5/15 + 5*i**4/3 - 22*i**3/3 - i**2 + 10*i. Factor d(w).
4*(w - 1)*(w + 11)
Let q(z) = -z**3 + 2*z**2 - 5*z + 1. Let y(a) = 8*a**2 + 11 - 4*a**3 - 7 - 24*a + 2*a**2. Let m(h) = 28*q(h) - 6*y(h). Solve m(p) = 0.
-1, 1
Let a(b) be the second derivative of b**4/24 + 19*b**3/6 + 361*b**2/4 + 94*b. Suppose a(z) = 0. Calculate z.
-19
Let i be ((-18)/48)/((-33)/176). Find z such that -6*z**i + 16*z - 32/3 + 2/3*z**3 = 0.
1, 4
Let v be ((-2)/(-60))/(6/(-60)*-4). Let l(w) be the first derivative of 0*w - 2/3*w**3 - 1 + 3/2*w**2 + v*w**4. Suppose l(c) = 0. Calculate c.
0, 3
Suppose -8 = 6*l - 2*l, 3*t - 5*l + 239 = 0. Let w = 171/2 + t. Factor 25*g - w*g**2 - 125/2.
-5*(g - 5)**2/2
Factor 5/4*r**2 - 55/4*r + 0.
5*r*(r - 11)/4
Factor -24/5*l**3 + 1/5*l**2 + 24/5*l + 0 - 1/5*l**4.
-l*(l - 1)*(l + 1)*(l + 24)/5
Suppose i + 8 = 10. Factor -20*w + 20 + 24*w + w**i + 5*w**3 - 24*w - 6*w**2.
5*(w - 2)*(w - 1)*(w + 2)
Let l = -205/2 + 104. Let h = -499 + 501. Factor 5/2*i**3 + h*i**4 - l*i**2 - 1/2 - 5/2*i.
(i - 1)*(i + 1)**2*(4*i + 1)/2
Let i(g) be the third derivative of g**7/210 + g**6/60 + g**5/60 + 330*g**2. Find a such that i(a) = 0.
-1, 0
Let g(y) be the first derivative of -y**3 - 99*y**2/2 - 96*y - 10. Let g(p) = 0. Calculate p.
-32, -1
Let n(f) be the second derivative of -f**4/8 + 49*f**3/2 - 7203*f**2/4 + 23*f - 4. Suppose n(j) 